Plug in values of x to find corresponding values of y.
For example, replace x with 0 to find that...
y = -5x-3
y = -5*0 - 3
y = 0 - 3
y = -3
We have x = 0 lead to y = -3.
Therefore, the point (0, -3) is on this line. This is the y intercept.
Now try something like x = 1
y = -5x-3
y = -5*1 - 3
y = -5 - 3
y = -8
It shows the point (1,-8) is also on the line.
The straight line goes through (0,-3) and (1,-8)
We can repeat this process infinitely many times since there are infinitely many numbers to pick for x.
See the graph below. I used GeoGebra to make it, but you can use something like Desmos or similar.
1.2/4=x/28 what is the value of x
Answer:
8.4
Step-by-step explanation:
You want to know the value of x that satisfies 1.2/4 = x/28.
One-step equationThe equation ...
x/28 = 1.2/4
can be solved in one step by multiplying by 28.
x = 28(1.2/4) = 8.4
The value of x is 8.4.
__
Additional comment
The fraction involving x can be cleared by multiplying by its denominator, effectively the inverse of the coefficient of x. This is the same way you solve any similar one-step equation.
Often, you are told to "cross-multiply" a proportion. Doing that gives you ...
4·x = 28·1.2
Then you have to divide by 4 (multiply by the inverse of the coefficient of x) to find the value of x:
x = 28·1.2/4 . . . . same as above.
That is, there is no need to multiply by 4, and then divide by 4. You can simply multiply by 28 and be done.
Answer:
8.4
Step-by-step explanation:
[tex]\frac{1.2}{4}[/tex] = [tex]\frac{x}{28}[/tex]
cross multiply to solve for x:
(1.2)(28) = 4x
4x = 33.6
x = 33.6/4 = 8.4
What are the exact values of a and b ?
CORRECT ANSWER
PROVIDE EXPLANATION
Answer:
b
Step-by-step explanation:
i think i say c because a is 30 degrees and c is 90 the whole triange needs to be 180 so b would be 60 also you see one side is 10 the other side also known as b is also 10 they have to be the same length and a is five because half of 10 is 5
Round 0.21545977 to the nearest hundredth
Answer:
0.22
Step-by-step explanation:
Since 5 rounds up, it would be 0.22
Answer:
0.22 Is the answer.
I wish you luck on your assignments.
if a Relation is a Function
in the
1) ((−1, 8), (0, 15), (1, –4), (2, 0)) 2) {(-5, 2), (5, 2), (0, -3), (3,-8)) 3) ((-2, 7), (6, 2), (−2, −3), (0, 9))
is a function
because there is not any
Points which have the
X-Coordinate and differen
y-Coordinates.
4) {(7,2), (4,-6), (2,-2). (4,-9)} 5) {(2, 3), (2, 4), (2, 5), (2,6)}
6) {(1,4), (2,4), (3, 4), (4-4)}
1). The relation given; { (−1, 8), (0, 15), (1, –4), (2, 0) } as given is a function.
2). The relation given; { (-5, 2), (5, 2), (0, -3), (3,-8) } as given is a function.
3). The relation given; { (-2, 7), (6, 2), (−2, −3), (0, 9) } as given is not a function.
4). The relation given; { (7,2), (4,-6), (2,-2). (4,-9) } as given is not a function.
5). The relation given; { (2, 3), (2, 4), (2, 5), (2,6) } as given is not a function.
6). The relation given; { (1,4), (2, 4), (3, 4), (4, -4) } as given is a function.
What is a function?It is important to know that a function is a special kind of relation in which case no one input value, x is assigned more than one output value.
On this note, when a relation is such that one of its input values is assigned two or more output values; such relation is not a function.
Read more on function;
https://brainly.com/question/10439235
#SPJ1
if john makes $55 working 2 hours , how much would he make working 8 hours ?
Answer:
$220
Step-by-step explanation:
Find the amount of money John makes in one hour:
[tex]55\div2=27.5[/tex]
[tex]=27.5[/tex]
John makes $27.50 an hour, now multiply the amount of money earned per hour, by the number of hours he worked.
[tex]27.50\times8=220[/tex]
[tex]=220[/tex]
John made "$220 dollars an hour."
Hope this helps.
Which of the following tables represents a linear relationship that is also proportional?
x y
0 3
3 6
6 9
x y
0 4
2 6
4 8
x y
0 0
6 3
12 6
x y
0 3
5 5
10 7
The solution is Option A. , Option C.
The equations which are also proportional is y = 3x and x = 2y
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
Let the values of x = { 0 , 3 , 6 }
Let the values of y = { 3 , 6 , 9 }
Now , the proportional equation is y = 3x
So , the proportionality constant is k = 3
b)
Let the values of x = { 0 , 6 , 12 }
Let the values of y = { 0 , 3 , 6 }
Now , the proportional equation is x = 2y
So , the proportionality constant is k = 2
Hence , the equations are y = 3x and x = 2y
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ1
Answer: The solution is Option A. , Option C.
Step-by-step explanation:
The equations which are also proportional is y = 3x and x = 2y
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
Let the values of x = { 0 , 3 , 6 }
Let the values of y = { 3 , 6 , 9 }
Now , the proportional equation is y = 3x
So , the proportionality constant is k = 3
b)
Let the values of x = { 0 , 6 , 12 }
Let the values of y = { 0 , 3 , 6 }
Now , the proportional equation is x = 2y
So , the proportionality constant is k = 2
Hence , the equations are y = 3x and x = 2y
To learn more about proportion click :
brainly.com/question/7096655
#SPJ1
I’ve been stuck on this for about a week, I know it might seem easy but I’m very bad at fractions and my teacher won’t help me
On solving the provided question we can say that - the increased value in fraction will be [tex]3\frac{1}{4}[/tex]
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
we have,
initial = [tex]4\frac{5}{6}[/tex]
increased by = [tex]4\frac{1}{4}[/tex]
son difference is = [tex]3\frac{1}{4}[/tex]
To know more about fraction visit:
https://brainly.com/question/10354322
#SPJ1
Please help will mark Brainly
Answer: The solution to the system of equations is (1/3,-4/3).
Step-by-step explanation: Yes
Write an expression to represent: 2 times the difference of x and 3
Answer:
2(x-3)
Step-by-step explanation: 2 is being multiplied by the difference (subtraction) of x-3.
Huilan is 7 years older than Thomas. The sum of their ages is 79. What is Thomas’s age?
Answer:
To solve this problem, we can set up the following equation:
Huilan's age + Thomas's age = 79
Let H be Huilan's age and T be Thomas's age. We can then rewrite the equation as:
H + T = 79
We are told that Huilan is 7 years older than Thomas, so we can write the following equation:
H = T + 7
Substituting the second equation into the first equation, we get:
(T + 7) + T = 79
Combining like terms, we get:
2T + 7 = 79
Subtracting 7 from both sides, we get:
2T = 72
Dividing both sides by 2, we get:
T = 36
Therefore, Thomas's age is 36 years.
Step-by-step explanation:
Answer:
let Thomas age be a
there fore, hullans age is a+7
(a+7)+a=79
2a=79-7
2a=72
a=36
HELP ME PLEASE RIGHT NOW ASAP
The representation of the set builder notations are:
{y | 22.3 < y ≤ 77.5}: Set of values above 22.3 that do not exceed 77.5{w | w ∈ Z}: Set of all integers{x | x > -1}: Set of values greater than -2{t | t ∈ Q}: Set of all rational numbersHow to determine what the set builder notations representFrom the question, we have the following parameters that can be used in our computation:
The set builder notations
Solving: set builder notation 1
This is given as
{y | 22.3 < y ≤ 77.5}
The less than (<) operator means that the smallest value of y is greater than 22.3 and the operator ≤ means that the highest is 77.5
Solving: set builder notation 2
This is given as
{w | w ∈ Z}
The notation Z means integers
This means that the set w is the set of all integers
Solving: set builder notation 3
This is given as
{x | x > -1}
The greater than (>) operator means that the smallest value of y is greater than -1
Solving: set builder notation 4
This is given as
{t | t ∈ Q}
The notation Q means rational numbers
This means that the set t is the set of all rational numbers
Read more about set builder at
https://brainly.com/question/13642904
#SPJ1
y≥ −4x+10
Hello, I’m having trouble the the following question above. Can you help me please?
The question asks to name the A and B points
A: ( , )
B: ( , )
I'm assuming x and y intercepts which would be (2.5,0) and (0,10)
To purchase 12,100 worth of machinery for her business, Latoya made a down payment of 1800 and took a business loan for the rest. After 3 years of paying monthly payments of 313.36, she finally paid off the loan.
A, what was the total amount latoya ended up paying for the machinery. (including down payment and monthly payments)
B. How much interest did latoya pay on the loan
The total amount that Latoya ended up paying for the machinery, was $ 13, 080 .96
The amount of interest that Latoya paid was $ 980.96
How to find the total amount paid ?The total amount paid by Latoya for the machinery can be found as :
= Down payment of the machinery + ( Monthly payments x Number of months per year x Number of years )
= 1, 800 + ( 313. 36 x 12 x 3 )
= $ 13, 080 .96
The total interest paid on the loan was :
= ( Monthly payments x Number of months per year x Number of years ) - Worth of the machine - down payment
= ( 313. 36 x 12 x 3 ) - 12, 100 - 1, 800
= $ 980.96
Find out more on total interest at https://brainly.com/question/14419626
#SPJ1
Which term below refers to events that all have the same probability of occurring?
(1) same chance occurrences
(2) equal probability events
(3) evenly divided happenings
(4) equally likely outcomes
The term below that refers to events that all have the same probability of occurring is; (2) equal probability events
What is the probability of occurrence?By definition, we can say that the probability of occurrence of an event is defined as the number of trials in which a particular event happened divided by the total number of trials.
Probability = number of trials in which event happened/total number of trials.
Now, when we say that all items have the same probability of occurring, what we simply mean is they all have equal chance of occurrence or they all have equal outcomes. For example when we flip a coin, we have equal chance of getting a head or tail.
Thus, the term that best defines the above would be Option 2.
Read more about probability of occurrence at; https://brainly.com/question/28151602
#SPJ1
Julia's Burger Place made 3 burgers with onions and 12 burgers without onions. What is the ratio of the number of burgers without onions to the number of burgers with onions?
The ratio of number of burgers without onions to the number of burgers with onions is 4:1.
Ratio of numbers.The ratio of numbers implies the relationship between the numbers when expressed in its simplest fraction. The relationship can be written in form of a/ b or a:b.
Given in the question that Julia's Burger Place made 3 burgers with onions and 12 burgers without onions. Then the ratio required can be expressed as;
ratio of number of burgers without onions to burgers with onions = (number of burgers without onions)/ (number of burgers with onions)
= 12/ 3
= 4/ 1
The ratio of number of burgers without onions to burgers with onions = 4:1
Therefore, the ratio of the number of burgers without onions to the number of burgers with onions is 4:1.
Learn more about ratio of numbers at https://brainly.com/question/2914376
#SPJ1
Find all the zeroes of the equation.
x4-6x2-7x-6 = 0
Zeros of the given equation are {-2, 3, (-1±i√3)/2}
Solution:-As the last term is -6 then, ± 2 , ±3 are possible zeroes.
Try 2:-
[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so 2 is not a zero.
Try 3:-
[tex]3^4-6*(3)^2-7*3-6=0[/tex] so 3 is a zero.
[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex] so -2 is also a zero.
Divide the function by (x +2)(x - 3), that is [tex]x^2 - x - 6[/tex]
gives [tex]x^2 + x + 1[/tex]
[tex]x^2 + x + 1[/tex]
So we have [tex]x^2 + x + 1 = 0[/tex]
[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]
= -1 + √(-3) / 2 , - 1 - √(-3) / 2.
= -0.5 + 0.866i, -0.5 - 0.866i
What are math roots?In mathematics, the number that results in the original number when multiplied by itself is called the root.
To know more about function visit:-
brainly.com/question/12431044
#SPJ1
summarize how you can find the slope of a parallel line.
Summary of slope of parallel lines:
Parallel lines have equal slopes. The parallel lines are equally inclined with regard to the positive x-axis, and this is taken into account when calculating a line's slope.
If one line has a slope of m1, another line has a slope of m2, and both lines are parallel, then we get m1 = m2.
The coefficients for "x" and "y" in the equations that depict parallel lines are identical.
Ax + by + c2 = 0 is the line that is parallel to ax + by + c1 = 0. Observation reveals that the x and y coefficients in both equations are equivalent.
To learn more about "Parallel Lines" here:
brainly.com/question/26365887
Write the expression for each
phrase.
6 rows of 8
24.
-2
2
NO
2
y-int=
slope =
equation:
y
2
X
Answer:
y-int = 0
slope = -1
equation: y = -x
Step-by-step explanation:
The line crosses the y-axis at y = 0, so the y-intercept is 0.
Go from (0, 0) to (-1, 1).
slope = m = rise/run = 1/(-1) = -1
y = mx + b
y = -x
y-int = 0
slope = -1
equation: y = -x
How would I complete these answers?
so, we can say that therefore, the sample of 20 cheerleaders used for the study provides the solution to the issue.
Describe sample.A sample is a controlled, abridged version of a bigger group. It is a demographic subset containing characteristics from a larger population. Samples are used in statistical testing when population sizes are too large to accommodate all prospective participants or observers in the experiment.
The 20 cheerleaders that are used as a sample for this study are.
Explanation: Because only 20 cheerleaders were chosen from high schools in California for the research of the banana influence on speed and endurance, the sample available was limited to those 20 cheerleaders. As a result, the sample's results were based on those 20 cheerleaders.
To know more about sample visit
brainly.com/question/27860316
#SPJ1
(6 × 10a) + (6 × 10b) + (6 × 10c) = 6006.6
Write down a possible set of values of a, b and c.
The values of a , b and c from the equation is ( 3 , 0 , -1 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
( 6 × 10ᵃ ) + ( 6 × 10ᵇ ) + ( 6 × 10^c ) = 6006.6 be equation (1)
Now , the number 6006.6 is written as
6000 + 6 + 0.6 = 6006.6
On simplifying the equation , we get
( 6 × 10ᵃ ) = 6000
Divide by 6 on both sides of the equation , we get
10ᵃ = 1000
So , 10ᵃ = 10³
Therefore , the value of a = 3
Now , ( 6 × 10ᵇ ) = 6
Divide by 6 on both sides of the equation , we get
10ᵇ = 1
when b = 0
10⁰ = 1
Therefore , the value of b = 0
Now , ( 6 × 10^c ) = 0.6
Divide by 6 on both sides of the equation , we get
10^c = 0.1
when c = -1
10⁻¹ = 0.1
Therefore , the value of c = -1
Hence , the value of a , b and c is 3 , 0 and -1 respectively
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Eric picks 5/8 basket of strawberries. Kiki picks 1/5 basket of strawberries. Which answer is the most accurate estimate for how many more baskets of strawberries Eric picks than Kiki?
Eric picks 17/40 baskets of strawberries more than Kiki.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Eric picks 5/8 basket of strawberries.
And, Kiki picks 1/5 basket of strawberries.
Hence, After subtraction we get;
Number of baskets of strawberries more than Kiki = 5/8 - 1/5
= (25 - 8) / 40
= 17/40
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ1
Mario had yards of ribbon for a project. Sue gave him more yards of ribbon. Which is closest to the number of yards of ribbon Mario had altogether?
The closest to the number of yards of ribbon Mario had altogether will be 11 yards
What is meant by Fraction?A fraction is a part of the whole number, and a way to split up a number into equal parts. Or, A number that is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that;
Mario had 8 1/5 yards of ribbon for a project.
And, Sue gave him 2 3/4 more yards of ribbon.
Since Mario had 8 1/5 yards of ribbon for a project. And, Sue gave him 2 3/4 more yards of ribbon.
Hence, Total ribbon for the project Mario have = 8 1/5 yards + 2 3/4 yards
= 41/5 + 11/4
= (164 + 55) / 20
= 219 / 20 yards
= 10.95 yards
≈ 11 yards
Thus, the total ribbon for the project Mario has = 11 yards
The complete question is given below;-
Mario had 8 1/5 yards of ribbon for a project. Sue gave him 2 3/4 more yards of ribbon. Which is closest to the number of yards of ribbon Mario had altogether?
To learn more about the fraction visit:
brainly.com/question/5454147
#SPJ1
The diagonals of a quadrilateral ABCD intersects each other at the point O such that AO/BO=CO/DO.Prove that ABCD is a trapezium.
Answer:
Step-by-step explanation:
To prove that a quadrilateral ABCD is a trapezium when the diagonals intersect at a point O such that AO/BO=CO/DO, we can use the fact that opposite sides of a trapezium are parallel.
First, let's draw a diagram to represent the given information:
[asy]
pair A, B, C, D, O;
A = (0,0);
B = (2,0);
C = (3,2);
D = (1,2);
O = intersection point(A-C, B--D);
draw(A--B--C--D--cycle);
draw(A-C);
draw(B--D);
label("A", A, W);
label("B", B, E);
label("C", C, E);
label("D", D, W);
label("O", O, N);
label("$\theta_1$", (B+O)/2, NE);
label("$\theta_2$", (O+D)/2, NE);
label("$\theta_3$", (O+C)/2, NW);
label("$\theta_4$", (A+O)/2, NW);
[/asy]
Since the diagonals intersect at point O, the angles formed by the diagonals at O are supplementary (that is, they add up to 180 degrees). In other words, we have:
θ1 + θ2 = 180 degrees
θ3 + θ4 = 180 degrees
Since AO/BO=CO/DO, the triangles AOB and COD are similar. This means that the ratios of their sides are equal. We can write this as:
AO/BO = CO/DO
We can also write this as:
AO/DO = CO/BO
Then, since the angles formed by the diagonals at O are supplementary, we have:
θ1 + θ2 = 180 degrees
θ1 + θ4 = 180 degrees
Subtracting these two equations gives us:
θ2 - θ4 = 0
Since the angles are equal, they are also opposite angles of the quadrilateral ABCD. Therefore, the opposite sides of AB and CD are parallel, which means that ABCD is a trapezium.
You have a pipe where the last 9/16 of an inch is threaded. Due to error, you need to trim of 4/32" off the threaded part. How long will the threaded section be? A. 17/32, Bl 7/8, C. 7/16 D. 15/32
The length of 9/16 of an inch threaded section of the pipe indicates that the new length of the threaded section after 4/32 of an inch is trimmed off obtained by the difference between the fractions is; C. 7/16 of an inch
What is a fraction?A fraction is the representation of only a part of a whole of an item in the form of a quotient, consisting of a numerator, being divided by a denominator.
The length of the threaded section of the pipe = 9/16 of an inch
The length of the threaded part trimmed off due to an error = 4/32 of an inch
The new length of the threaded section following the trimming off of 4/32 is therefore;
New length of the threaded section = 9/16 - 4/32
The value of the difference between the fractions is found as follows;
[tex]\dfrac{9}{16} -\dfrac{4}{32} =\dfrac{2 \times 9 - 4}{32} = \dfrac{14}{32}[/tex]
[tex]\dfrac{14}{32}=\dfrac{7}{16}[/tex]
Therefore;
[tex]\dfrac{9}{16} -\dfrac{4}{32} =\dfrac{7}{16}[/tex]
The new length of the threaded section will be 9/16 - 4/32 = 7/16
The correct option that indicates the new length of the threaded section is C. 7/16
Learn more about fractions here: https://brainly.com/question/11865121
#SPJ1
A random sample of individuals at an airport were asked, "Is your flight on time or delayed?" Below are the results of the survey in a joint relative frequency table.
On time Delayed Total
Domestic 96 412
International 76
Total 147
Part A: Draw and complete the frequency table. (3 points)
Part B: What is the smallest joint frequency, and what does it represent in the context? (3 points)
Part C: Does the data show an association between the flight being on time and flying domestic? If so, is it positive or
negative? (4 points)
Answer:
A.
domestic: 316 / 96 / 412
international: 76 / 51 / 127
total: 392 / 147 / 539
B. 51 its the smallest number
C. I don't know what association means but 76.2% of domestic flights land on time and 63% of international flights land on time so id say its positive
Mississipi has the lowest income at 40.6 thousand dollars.Mississippi also has about 207 bacherlors degree per 1000 people what does the linear model estimate for that number of bachelors degrees per 1000 per person for Mississippi based on the median income? How good is this estimate?
Answer: A linear model is a type of mathematical equation that describes the relationship between two variables, such as median income and the number of bachelor's degrees per 1000 people. In order to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income, you would need a linear equation that describes that relationship.
Without that equation, it's not possible to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income.
Additionally, without more information about the data that the model was trained on, the correlation between median income and the number of bachelor's degrees per 1000 people and how accurate and reliable the model is, it's difficult to determine the goodness of this estimate. However, in general, a linear model may provide only a rough estimate, especially if the relationship between the variables is complex or non-linear.
Step-by-step explanation:
Will mark brainliest!!
Consider the circumscribed angle. Determine the value of x.
1)
x = 12
2)
x = 29
3)
x = 4.75
4)
x = 17
Answer:
x = 12
Step-by-step explanation:
i. 29 = 2x + 5 [The length of two tangents to a circle at the point of contact from the same external point are equal]
ii. 29 - 5 = 2x
iii. 24 = 2x
iv. x = 24/2
v. x = 12
A circle of radius 8 cm is cut into 6 parts
of equal size, as shown in the diagram.
Calculate the area of each part, giving
your answer correct to 2 decimal places.
Answer: To calculate the area of each part of the circle, we need to first find the total area of the circle and then divide it by the number of parts.
The formula for the area of a circle is A = πr², where A is the area, r is the radius, and π is approximately equal to 3.14.
In this case, the radius of the circle is 8 cm, so the area of the circle is A = π * 8² = 3.14 * 64 = 200.96 cm².
Since the circle is divided into 6 parts of equal size, the area of each part is equal to the total area of the circle divided by the number of parts. Therefore, the area of each part is 200.96 cm² / 6 = 33.49 cm².
Rounded to 2 decimal places, the area of each part is 33.49 cm² ≈ 33.50 cm².
Step-by-step explanation:
Red city rockets connections academy
Answer: what
Step-by-step explanation: