Answer:
x + y = -1
Step-by-step explanation:
4 plus -5 is equivalent (equal to) the equation 4 - 5 which equals -1
Find the limits given based on the graph.
Limits of the functions shown in the graph are limx +f(x) = 0 and limx -f(x) = 0. The link between a group of inputs, each of which has a related output, is known as a function.
what are functions ?The study of mathematics covers a variety of topics, including numbers, formulas and related structures, forms and the environments in which they exist, quantities and their variations, and the environments in which they exist. An easy way to think of a function is as a relationship between inputs and outputs, where each input leads to a single, distinct result. Each function has a respective domain and a codomain, or scope. Functions are typically represented by the letter f. (x). input is x. The accessible functionalities fall into four categories. based on the following elements: on functions, one-to-one functions, many-to-one functions, and within functions.
given
We first take into account how f(x) behaves as x increases unboundedly for the function in the graph below. As x can always increase because the function has no limit, it can never be zero. However, the function's behavior when x rises.
Similar to how x decreases without bound or how we move leftward on the graph, f(x) also seems to be approaching zero.
So in this case we can write:
limx → +∞f(x) = 0
limx → - ∞f(x) = 0
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Which system of equations can be graphed to find the solution(s) to x² = 2x + 3?
[y=x²+2x+3
y=2x+3
0
O
O
[y=x²-3
y=2x+3
[y=x²-2x-3
ly=2x+3
[y=x²
y=2x+3
Step-by-step explanation:
please refer to the sketch
The system of the equations to be used to graph the solution of the equation given is y = x² and y = 2x+3
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given that, is an equation, x² = 2x+3, we need to find a system of equations that can be graphed to give the solution of the equation given,
So, the equation is x² = 2x+3
We can write this as,
x²-2x-3 = 0
Now, factorize to find the solution of the equation,
x²-3x+x-3 = 0
x(x-3)+1(x-3) = 0
(x+1)(x-3) = 0
x = -1 and x = 3
So, the solution of the equation is -1 and 3
However, if we consider the equation to be two different systems combined, that is the equation of the straight line and the equation of the basic quadratic function,
y = x² and y = 2x+3
Then the solution to is the intersection of the graph of the straight line and the graph of the quadratic curve.
That is the x-coordinates of the points of intersection are the solutions.
Since, the graphs are intersecting at (3, 9) and (-1, 1) [see the graph]
Therefore, the system of equation is y = x² and y = 2x+3
Hence, the system of the equations to be used to graph the solution of the equation given is y = x² and y = 2x+3
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the average number of wins for a team is 7.6 for the season with a standard deviation of 1.3. What is the probability that the team will win more the 9 games this season?
The probability that the team will win more than 9 games this season, given the average number of wins for the team, is 4 %
How to find the probability ?The Z-score formula is:
Z = (x - mean) / standard deviation
Where x is the number of wins we're interested in (9), mean is the average number of wins (7.6), and standard deviation is the standard deviation of the number of wins (1.3)
Z = (9 - 7.6) / 1.3
= 2.3 / 1.3
= 1.77
This means that 9 wins is 1.77 standard deviations above the mean. The result is the probability of a team winning more than 9 games this season, which is around 0.04 or 4% from the standard normal distribution table.
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5700 dollars is placed in an account with an annual interest rate of 6.5%. To the nearest year, how long will it take for the account value to reach 20900 dollars?
It will it take 56 years for the account value to reach $20,900.
What is Simple Interest?This amount is calculated based on the principal amount of a loan or the first deposit in a savings account. Simple interest does not compound, thus, a creditor will only pay interest on the principal amount and a borrower would never have to pay more interest on the previously accumulated interest.
formula for calculating Simple Interest, S.I:
S.I = P * R * T
100
Where,
S.I = Simple Interest
P =Pricipal
R = rate ( in percentage)
T= Time
To how long will it take for the account value to reach $20,900
S.I = $20,900
R = 6.5%
P =$ 5,700
T =?
S.I = P * R * T
100
$20,900 = $ 5,700 * 6.5 * T
100
Cross multiplying and Making Time, T subject of the formula we have:
$20,900 * 100 = $ 5,700 * 6.5 * T
T= $20,900 * 100
$ 5,700 * 6.5
T= 56.41
T ≈ 56 years
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3/4 divided by 3/7 in simplest form
Answer:
7/
Step-by-step explanation:
3/4 * 7/
3 can be crossed
Leaving 7/
The minute hand of a clock is 7 minutes. How far does the tip of the minute hand move in 50 minutes?
The distance that the minute hand moves in 50 minutes, given that it started at 7 minutes, is 258 degrees.
How to find the distance moved ?A rotatation around the clock by the minute hand, is a full 360 degrees as it begins at 12 and ends at 12 .
If a minute hand is at 7 minutes, then it means that the degrees moved is:
= 7 / 60 x 360
= 42 degrees
At 50 minutes, the degrees moved is :
= 50 / 60 x 360
= 300 degrees
Seeing as the minute hand started at 7 minutes, the distance moved is :
= 300 - 42
= 258 degrees
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Three people are sitting on a bus. Julian is seated 4 meters directly behind Elena and 3 meters directly left of Isabella. How far is Elena from Isabella?
Answer:
sq root of 21=7
Step-by-step explanation:
we need to use Pythagoras theorem
so distance(isa-jul)^2 +distance(ele-jul)^2= distance(isa-ele)^2
now just do the square root and there you go.
the inaugural attendance of an annual film festival is 20,000. The attendance y increases by 5% each year
1. about how many people will attend the festival in the fifth year?
Answer:
24,241 people
Step-by-step explanation:
To determine the attendance at the festival in the fifth year, we need to calculate the cumulative increase in attendance over five years.
1st year: 20,000
2nd year: 20,000 * 1.05 = 21,000 (5% increase from the first year)
3rd year: 21,000 * 1.05 = 22,050 (5% increase from the second year)
4th year: 22,050 * 1.05 = 23,127.50 (5% increase from the third year)
5th year: 23,127.50 * 1.05 = 24,241.38 (5% increase from the fourth year)
So, in the fifth year the festival will be attended by approximately 24,241 people.
1. What property could you use to show that these two triangles are congruent? QRP XWY
The property that could be used to determine that the triangles are congruent is the SSA congruent theorem
How to determine the congruent propertyFrom the question, we have the following parameters that can be used in our computation:
Triangles = QRP and XWY
On the triangles, we can see that:
Two corresponding sides on both triangles are marked with I and IIThe triangles have a pair of corresponding anglesThis means that we make use of the SSA congruent theorem
The SSA congruent theorem implies that if two sides and an angle not included between them are respectively equal to two sides and an angle of the other than the two triangles are equal.
In this case, we have
Congruent sides: RQ and HG & PR and HF
Congruent angles: Angles Q and G
Hence, the additional information on the congruency of the triangles is the SSA theorem
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Anyone knows the answer ?
The solution for the question found using the double angle formula for cosine is -[tex]\frac{7}{25}[/tex].
What are double angle formulae?
There are some trigonometric formulas that are known as double angle formulae because they contain double angles, such as Sin 2x, Cos 2x, and Tan 2x.
The double angle formula for cosine is
Cos 2θ = Cos²θ - Sin²θ
=2Cos²θ – 1
= 1 – 2Sin²θ
Given sinθ = [tex]\frac{4}{5}[/tex]
cos(2θ) = 1-2sin²θ = [tex]1-2[/tex]×( [tex]\frac {4}{5}[/tex])² = [tex]1-[/tex] [tex]\frac{32}{25}[/tex] = [tex]\frac{-7}{25}[/tex]
Therefore Cos(2θ) fund using double angle formula is -[tex]\frac{7}{25}[/tex]
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The solution for the question found using the double angle formula for cosine is -.7/-25
What are double angle formulae?There are some trigonometric formulas that are known as double angle formulae because they contain double angles, such as Sin 2x, Cos 2x, and Tan 2x.
What is angle?An angle is a measure of the amount of rotation between two rays or lines that share a common endpoint, called the vertex of the angle. The two rays or lines are called the sides of the angle, and the endpoint is called the vertex. The size of an angle is typically measured in degrees or radians, with one full rotation around a point (360 degrees or 2π radians) being equal to a full circle.
The double angle formula for cosine is
Cos 2θ = Cos²θ - Sin²θ
=2Cos²θ – 1
= 1 – 2Sin²θ
Given sinθ = 4/5
cos(2θ) = 1-2sin²θ = 1-2×(4/5 )² = 1-32/25 = -7/25
Therefore Cos(2θ) fund using double angle formula is -
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2√54 - √27 - 3√24 how to simplify
Answer: -3√3
Step-by-step explanation: Factor out the square roots from each term
2√54 -> 6√6
√27 -> 3√3
3√24 -> 6√6
The equation becomes 6√6 - 3√3 - 6√6
By combining like terms we can eliminate 6√6
This leaves us with -3√3 as the simplified solution
Answer:
-3√3
Step-by-step explanation:
do the hcf method to get all the values outside
hcf of 54= 2, 3, 3, 3
hcf of 27 = 3, 3, 3
hcf of 24 = 2,2,3,3
2✓2×3×3×3 - √3,3,3 - 3√2,2,3,3
take out the common factor and multiply it with the value we have outside leave it if it doesnt have a number
2×3√2×3 - 3✓3 -3×2×3
6√6 - 3√3 - 3×2×3
6×3 - 3√3 - 3×2×3
18-18 - 3✓3
-3√3
Lynn is making a snack. The recipes call for 38 cup of water for oats and 14 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain.
Answer:
Below
Step-by-step explanation:
"Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup"
(I changed the numbers to fractions ....)
she needs 3/8 + 1/4 cup ....add them together by finding a common denominator
1/4 = 2/8
then 3/8 + 2/8 = (3+2)/8 = 5/8 cup
if she has one cup of water she has enough....she only needs 5/8 cup
Please help will mark Brainly
Answer:
they are intersecting.. so, there's one solution. the ordered pair is (-1,4).
5. Mariel volunteers at the
animal shelter 3 times a month.
After 6 months, how many
times has she volunteered at
the animal shelter?
Josh and Diego are comparing how much candy they have. Josh has five boxes and fifteen loose candies. Diego has six
boxes and three loose candies. However, they each have the same total amount of candy. If there are the same number of
candies in each box, how many pieces are in a box?
3. Equation:
4. Number of pieces in each box:
The solution of given algebra question is-The number of candies in each box is 12.
What are the Algebra Basics?In algebra, the fundamental concepts are numbers, parameters, constants, expressions, coefficients, linear equations, and quadratic equations. Additionally, it requires adding, subtracting, multiplying, and dividing basic arithmetic operations within the algebraic formulas.
What is the algebraic first rule?Multiplication and division tasks should be completed first from left to right, followed by addition and subtraction tasks from left to right.
According to given information:Let the number of candies in the box be x
Total candies with Josh=5x+15
Total candies with Diego=6x+3
Since, they have same number of candies,
Hence,
5x+15=6x+3
6x-5x=15-3
x=12
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If Isabella has 1809 and Leah takes 27 how many will Isabella have left
1809/27=
Answer:
1809/27=67 is your answer........
Find two Equivalent fractions of 4/2
Answer:
40/20 & 22/11
Step-by-step explanation:
To find an equivalent fraction to 4/2, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:By dividing the original fraction by 2, we get:4 ÷ 2 / 2 ÷ 2 = 21. By multiplying the original fraction by 2, we get:4 × 2 / 2 × 2 = 8/4. Here is the full list of equivalent fractions to 4/2. 2/1, 4/2, 6/3, 8/4, 10/5, 12/6, 14/7, 16/8, 18/9, 20/10, 22/11, 24/12, 26/13, 28/14, 30/15, 32/16, 34/17, 36/18, 38/19, 40/20...
A netball court measures 31 metres long and 15 metres wide.
What is the perimeter of a netball court?
The perimeter of the netball court is equal to 92 meters.
What does perimeter mean?
The whole distance encircling a shape is referred to as its perimeter. It is the length of any two-dimensional geometric shape's boundary or outline.
A netball court is a rectangle,
it is given that length of the net ball court is equal to 31 meters.
The width of the netball court is equal to 15 meters.
Therefore the perimeter of the netball court is equal to the length of all sides of the rectangle.
Perimeter of netball court = 2(31+15)=92 meters.
Therefore perimeter of the netball court is equal to 92 meters.
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Rosa goes to a restaurant and orders a meal that code $9. She wants to leave a 20% tip for the server. What is the total cost of Rosa meal?
Answer:
$10.80
Step-by-step explanation:
9 times 0.20 equals 1.80
9 + 1.80 = $10.80
Use the figure to answer the question,
Triangle ABC is similar to triangle ABC.
B
Which series of transformations shows that ABC is similar to ABC1
A. Reflect ABC across line I and translate 2 units right.
B. Reflect ABC across line I and translate 6 units up
C. Reflect ABC across line I and dilate from point A by a factor of 2.
D. Reflect ABC across line I and dilate from point A by a factor of
On solving the provided question, we cans ay that - here in triangles, triangle ABC is congruent to triangle A`B`C`
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
Here,
two triangles are there
triangle ABC and triangle A`B`C`
AB =A`B`
BC = B`C`
AC =A`C`
So, by sss property
both are congruent
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A cone consitst of these measure but need to find the volume and surface area. The diameter is 16m, height is 8m, and the slant height is 11.31m.
A.) V=769.17m³ SA=535.89m²
B.) V= 535.89m SA=769.17m
C.) V=535.89m³ SA= 769.17m²
D.) V=1607.68m³ SA=769.56m²
I need help asap , this is geometry. I need it solve in the simplest radical form.
let the third side be b then use the pythagoras theorem
Show that 20 subtracted by O is 20, using at least four daily life examples
Answer:
true
Step-by-step explanation:
20 away from nothing is 20
Answer:
Step-by-step explanation:
20-0=20
Example 1: Suppose you have 20 friends and they are given the choice of choosing a sport from cricket or basketball. All of them decide to play cricket and 0 chooses basketball. So, the total number of students who decided cricket is 20 students(20-0=20).
Example 2: Suppose you have 20 chocolates and you give 0 chocolates to your sister then you have a total of 20 chocolates(20-0=20).
Example 3: Suppose there are 20 students in a class and 0 were absent out of them. So, the total number of students that were present are 20 students(20-0=20).
Example 4: Suppose you have 20 clothes in your wardrobe and you gave 0 clothes for washing. So, the total number of clothes in the wardrobe is 20 clothes(20-0=20).
Are x and y proportional when Y /X equals five
Answer:
no
Step-by-step explanation:
BC is the diameter of the semicircle. The area of rectangle ABCD is 20 and the length of line AB is 5.What is the area of the semicircle?
Answer:
2[tex]\pi[/tex] [tex]units^{2}[/tex]
Step-by-step explanation:
BC is equal to 4 because 5*4=20.
The radius is 2. The equation for the area of a circle is [tex]\pi r^2[/tex].
Therefore, if we plug in 2 we will get [tex]4\pi[/tex].
But then we divide by 2 to get 2[tex]\pi[/tex] [tex]units^{2}[/tex] as our answer.
Hope this helped! :)
Can someone help with this? Please be right
Answer:
See attached
Step-by-step explanation:
You want various combinations of the functions g(a) = -3a+1 and h(a) = 3a³ +4a.
g/hThe functions have no common factors, so their ratio leaves the function expressions unchanged:
[tex]\dfrac{g(a)}{h(a)}=\boxed{\dfrac{-3a+1}{3a^3+4a}}[/tex]
h+gThe like terms are combined when the functions are added.
[tex]h(a)+g(a)=(3a^3+4a)+(-3a+1)=3a^3+(4-3)a+1\\\\=\boxed{3a^3+a+1}[/tex]
g-hSimilarly, the like terms are combined when the functions are subtracted.
[tex]g(a)-h(a)=(-3a+1)-(3a^3+4a)=-3a^3+(-3-4)a+1\\\\=\boxed{-3a^3-7a+1}[/tex]
g·hThe product is found the way products are usually found. Each term of one of the factors is multiplied by each term of the other factor, and these products are summed. You can think of it as repeated application of the distributive property.
[tex]g(a)\cdot h(a)=(-3a+1)(3a^3+4a)=-3a(3a^3+4a)+1(3a^3+4a)\\\\=-9a^4-12a^2+3a^3+4a\\\\=\boxed{-9a^4+3a^3-12a^2+4a}[/tex]
PLEASE HELP FRACTION S EASY!! A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses pounds of gravel. For each pound of gravel, he uses pound of cement. He is making enough concrete that he needs to use 3 pounds of sand.
How many pounds of cement does he use?
The pound of cement used based on the information will be C. 2 pounds.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
In this case, for each pound of sand, he uses 1 2/3 pounds of gravel and for each pound of gravel, he uses 2/5 pound of cement.
The pound of cement used will be:
Gravel = 1 2/3 × 3
= 5 pounds
Cement used will be:
= 2/5 × 5.
= 2 pounds.
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- Complete the function table for f(x) = 3x + 2.
groce
x
-2
-1
0
1
opies of graph pap
The value of the function f(x) at x = - 2, - 1, 0, 1 are - 4, - 1, 2, 5.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f(x) = 3x + 2.
Now,
At x = - 2, f(x) = 3(-2) + 2 ⇒ f(x) = - 4.
At x = - 1, f(x) = 3(-1) + 2 ⇒ f(x) = - 1.
At x = 0, f(x) = 3(0) + 2 ⇒ f(x) = 2.
At x = 1, f(x) = 3(1) + 2 ⇒ f(x) = 5.
This can also be written in the form of ordered pairs
(- 2, - 4), (- 1, - 1), (0, 2), (1, 5).
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Suppose that R, S and T are digits and that N is the four-digit positive integer
8RST. That is, N has thousands digit 8, hundreds digit R, tens digits S, and ones
(units) digit T, which means that N = 8000 + 100R + 10S + T. Suppose that the
following conditions are all true:
• The two-digit integer 8R is divisible by 3.
• The three-digit integer 8RS is divisible by 4.
The four-digit integer 8RST is divisible by 5.
The digits of N are not necessarily all different.
The number of possible values for the integer N is
(A) 8
(B) 16
(C) 12
(D) 10
87
(E) 14
Answer:
8RST. That is, N has thousands digit 8, hundreds digit R, tens digits S, and ones
(units) digit T, which means that N = 8000 + 100R + 10S + T. Suppose that the
following conditions are all true:
• The two-digit integer 8R is divisible by 3.
• The three-digit integer 8RS is divisible by 4.
The four-digit integer 8RST is divisible by 5.
The digits of N are not necessarily all different.
The number of possible values for the integer N is
(A) 8
(B) 16
(C) 12
(D) 10
87
(E) 14
Since 8R is divisible by 3, R must be a multiple of 3. The possible values for R are 3, 6, and 9.
Since 8RS is divisible by 4, S must be a multiple of 2. The possible values for S are 0, 2, 4, 6, and 8.
Since 8RST is divisible by 5, T must be 0 or 5.
The possible values for N are therefore:
8000 + 300 + 00 + 0 = 8300
8000 + 600 + 00 + 0 = 8600
8000 + 900 + 00 + 0 = 8900
8000 + 300 + 20 + 0 = 8320
8000 + 600 + 20 + 0 = 8620
8000 + 900 + 20 + 0 = 8920
8000 + 300 + 40 + 0 = 8340
8000 + 600 + 40 + 0 = 8640
8000 + 900 + 40 + 0 = 8940
8000 + 300 + 60 + 0 = 8360
8000 + 600 + 60 + 0 = 8660
8000 + 900 + 60 + 0 = 8960
8000 + 300 + 80 + 0 = 8380
8000 + 600 + 80 + 0 = 8680
8000 + 900 + 80 + 0 = 8980
8000 + 300 + 00 + 5 = 8305
8000 + 600 + 00 + 5 = 8605
8000 + 900 + 00 + 5 = 8905
8000 + 300 + 20 + 5 = 8325
8000 + 600 + 20 + 5 = 8625
8000 + 900 + 20 + 5 = 8925
8000 + 300 + 40 + 5 = 8345
8000 + 600 + 40 + 5 = 8645
8000 + 900 + 40 + 5 = 8945
8000 + 300 + 60 + 5 = 8365
8000 + 600 + 60 + 5 = 8665
8000 + 900 + 60 + 5 = 8965
8000 + 300 + 80 + 5 = 8385
8000 + 600 + 80 + 5 = 8685
8000 + 900 + 80 + 5 = 8985
There are a total of 30 possible values for N. The answer is therefore (E) 14.
Step-by-step explanation:
Work out
1/8
+
3/4
Give your answer in its simplest form.