Answers
Answer:
The y-value of Function A when x = 2 is GREATER than the y-value of Function B when x = 2
Step-by-step explanation:
✔️Find the equation of Function A:
To do this, find the y-intercept (b) and slope (m):
Slope (m) = change in y/change in x
Using (4, 13) and (5, 17),
Slope (m) = (17 - 13)/(5 - 4) = 4/1
m = 4
To find b, substitute (x, y) = (4, 13) and m = 4 into y = mx + b
13 = 4(4) + b
13 = 16 + b
13 - 16 = b
b = -3
To write the equation for Function A, substitute m = 4 and b = -3 into y = mx + b
Thus:
y = 4x - 3
Next, find the y-value of Function A when x = 2 by substituting x = 2 into y = 4x - 3
Thus:
y = 4(2) - 3
y = 8 - 3
y = 5
✅The y-value of Function A when x = 2 is 5
✔️Equation for Function B is given as,
y = ½x + 1
Find the y-value of Function B when x = 2 by substituting x = 2 into y = ½x + 1
Thus:
y = ½(2) + 1
y = 1 + 1
y = 2
✅The y-value of Function B when x = 2 is 2
Therefore, the correct statement is:
The y-value of Function A when x = 2 is greater than the y-value of Function B when x = 2
Related Questions
How do I do this trigonometry problem? or where do I even start.
Answers
Answer:
∅=6
Step-by-step explanation:
let ∅=x
[tex]\csc(3x+15)=\frac{1}{\sin(3x+15)}\\\sin(5x+3)*(\frac{1}{\sin(3x+15)})\\\frac{\sin(5x+3)}{\sin(3x+15)}=1\\\sin(5x+3)=\sin(3x+15)\\5x+3=3x+15\\2x=12\\x=6[/tex]
Quadrilateral ABCD underwent a sequence of transformations to give quadrilateral ABCD. Which transformations could have taken place?
Answers
Answer:
The answer is "A 10 units down traduction, following by 8 pieces right traduction".
Step-by-step explanation:
Even as the changed image is similar to the original picture in rotation, reflections, and translations, so every point would be modified so that the examination of each point will provide several changes performed.
Consideration of paragraph A(-6, 4).
When a point (x, y) k is transferred down, it becomes (x, y-k).
So when 10 units are converted to A, it becomes (-6, -6).
When the point (x, y) k units are translated, it becomes (x+k and y)
This manner, it gets 8 units (-6, -6) to the right point (2, -6)
These are the A' coordinates.
Thus, quadrilateral ABCD was subjected to 10 further units of translation and 8 to the left. translations .
What's the relationship between y and x
Answers
Answer:
Step-by-step explanation:
The relationship between x and y is called a linear relationship because the points so plotted all lie on a single straight line. The number 95 in the equation y=95x+32 is the slope of the line, and measures its steepness.
{x+y=-4
{y=2x-1
Help please. Thanks in advance.
Answers
2x-y=1
—————
3x=-3
X=-1
Now replace x in one of the equations to find y
Y=2(-1)-1= -3
Final answer =
X= -1
Y= -3
Which ordered pairis a solution to the system of inequalities graphed here
Answers
Answer:
B. (1,4)
Step-by-step explanation:
If you go over to the right by 1 and up by 4 the point will land inside the blue, hence it is the answer since the rest do not land inside the blue.
ILL GIVE YOU 5 STARS
Answers
Answer:
if the formela right
so this is the answer
See image for question. Please show workings.
Sorry for the wobbly writing.
*freq= frequency.
Answers
Answer:
See below and attachedStep-by-step explanation:
Refer to the graph attached1. The mean is calculated using below table
Marks Frequencies Midpoint Product
10 to 14 18 12 216
15 to 19 9 17 153
20 to 24 11 22 242
25 to 29 25 27 675
30 to 34 14 32 448
35 to 39 3 37 111
Sum 80 1845
The mean is:
1845/80 ≈ 232. The mode is the midpoint of the tallest bar.
The mode is
(25 + 29)/2 = 273. The median is the middle of the data set. The number of frequencies is 80, the middle frequency is number 40, which is within the 25 to 29 bar.
Formula to calculate median:
L + ( (n/2 – F) / f ) * wwhere
L: The lower limit of the median group = 25 n: The total number of observations = 80 F: The cumulative frequency up to the median group = 18 + 9 + 11 = 38 f: The frequency of the median group = 25 w: The width of the median group = 29 - 25 = 4Substitute values and calculate:
25 + ((80/2 - 38)/25) *4 = 25.32You are taking a university course with a combined graduate and undergraduate enrollment. You know that there are many more undergraduate than graduate students enrolled in this course. There is a woman who looks to be about thirty sitting next to you. If you use only the base rate to guess her student status, you would guess that she is a(n) __________ student because __________.
Answers
Answer:
She is an undergraduate because more undergraduates are enrolled
Step-by-step explanation:
From the question, we understand that:
Undergraduate > Graduate
This represents the base rate
So, when taking a guess using the base rate, your guess will be that: the woman is an undergraduate.
The reason for this is that you know that there are more undergraduates than graduates enrolled in the course.
Given m || n, find the value of x and y
Answers
Answer:
x = 16 and y = 121
Yes, its a long process.
Step-by-step explanation:
vertical angles are congruent given that: we do this
(4x-5)+(4x-5)+y+y=360
or
2(4x-5)+2y=360
divide both sides by 2
(4x-5)+y=180
distribute (there is an invisible 1 beside the parentheses of 4x-5)
4x-5+y=180
add 5 to both sides
4x+y = 185
subtract y from both sides
4x = 185-y
divide both sides by 4
x = (185-y)/4
note that (4x-5) is also EQUAL to (3x+11)
4x-5=3x+11
subtract 3x from both sides
x-5=11
add 5 to both sides
x = 16
Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360
Our equation was
x = (185-y)/4
16 = (185-y)/4
Multiply both sides by 4
64 = 185-y
Subtract 185 from both sides
-121=-y
multiply both sides by -1
121 = y
These are some more questions
Answers
2) the third option i think
3) the second option
4) not too sure but maybe last option.
help with trigonometry plz
Answers
Answer:
Below,
Step-by-step explanation:
a. cos O = adjacent side/hypotenuse
= 88.3/117
= 0.75470
O = 41 degrees.
b. sin O = opposite side/hypotenuse
= 2.4/3.8
= 0.63158
O = 39 degrees
Black pens come in boxes of 12. Blue pens come in boxes of 10. Red
pens also come in boxes of 10. You need a total of 50 of each color of
pen. You have 2 boxes of black pens, 3 boxes of blue pens, and 1 box of
red pens. How many boxes of each color should you order?
Answers
Answer
12+10+10+50+2+3+1=88
Step-by-step explanation:
Answer:
Red pens: 4 boxes
blue pens: 2 boxes
black: 3 boxes
Step-by-step explanation:
What is special about the factored form of answer N-16x2 - 1?
Answers
Answer:
Both 16 and 1 are squares. This suggests using the formula for the difference of squares. Answer link.
Step-by-step explanation:
Every time you have a difference in the format of
A2−B2 you can factor as (A−B)(A+B).
Then you have to identify if your quantity is the difference of two squared quantities.
It is. In fact we can write it as:
16x2−1=(4x)2−12
Then we can apply our rule
[tex] {(4x)}^{2} - {1}^{2} = (4x - 1)(4x + 1)[/tex]
the question= find the percent of each number
1.) 78% of 160
2.) 12% of 325
also could u put an explanation
Answers
Answer:
78 x 160 /100
= 124.8
12 x 325/100
= 39
Step-by-step explanation:
Can someone explain if this is correct. I’m unsure!
Answers
Answer:
Step-by-step explanation:
Find the interest rate if $6600 has
a final value of $8847 in 4 years.
Give your answer to 1 d.p.
Answers
Answer:
Interest = $ 2247.00
Step-by-step explanation:
principal=$6600
Amount=$8847
time=4 years
Interest=Amount - principal
=$8847 - $ 6600
=$2247 =
=$2247.00
A jar contains black beads and green beads. Forty percent of the beads in the jar are green. A number generator simulates randomly selecting 10 beads from the jar. The number generator is used 12 times and the number of green beads in each trial is shown in the dot plot. Which description is correct about the number generator being fair or not? The number generator is not fair. The dot plot shows that 4 of 10 beads drawn are often green. The number generator is fair. The dot plot shows a distribution that is skewed right. The number generator is fair. It shows that 40% of the beads selected are green most of the time. The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green.
Answers
Answer:
The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green
Step-by-step explanation:
Given
[tex]Pr(Green) = 40\%[/tex]
See attachment for plots
Required
Is the number generator fair or not
From the number line, we have the following outcomes:
[tex]0 \to 1[/tex]
[tex]1 \to 1[/tex]
[tex]2 \to 7[/tex]
[tex]3 \to 2[/tex]
[tex]8 \to 1[/tex]
Divide each outcome by 12, to get the proportion of green in each trial
[tex]0 \to 1[/tex] [tex]\to 8.33\%[/tex]
[tex]1 \to 1[/tex] [tex]\to 8.33\%[/tex]
[tex]2 \to 7[/tex] [tex]\to 58.33\%[/tex]
[tex]3 \to 2[/tex] [tex]\to 16.33\%[/tex]
[tex]8 \to 1[/tex] [tex]\to 8.33\%[/tex]
The above shows that the proportion of green in most of the trial is less than 40%
Hence, the number generator is not fair.
Answer:
D
Step-by-step explanation:
Solve the equation by quadratic formula. Round to the nearest Tenth, if necessary
x^2 - 49 = 0
Answers
Answer:
[tex]x = 7 \: or \: x = - 7.[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 49 = 0[/tex]
Then
[tex] {x}^{2} = 49 [/tex]
So
[tex]x = 7 \: or \: x = - 7.[/tex]
Answer:
x = -7 , 7
Step-by-step explanation:
a² - b² = (a + b)(a - b)
x² - 49 = 0
x² - 7² = 0
(x + 7)(x -7) = 0
x + 7 = 0 ; x - 7 = 0
x = -7 ; x = 7
|2x+3|=7;2
help pls
Answers
Answer:
x = {-5, 2}
Step-by-step explanation:
unfamiliar with the notation 7;2
will solve for |2x + 3| = 7
Solution I - the quanity inside the absolute value is 7
2x + 3 = 7
2x = 4
x = 2
Solution II - the quanity inside the absolute value is –7
2x + 3 = –7
2x = -10
x = -5
-----------------
x = {-5, 2}
A pole that is 3.4 m tall casts a shadow that is 1.61 m long. At the same time, a nearby building casts a shadow that is 36.75 m long. How tall is the building?
Round your answer to the nearest meter.
Answers
Answer:
Step-by-step explanation:
Set this up as a proportion with pole/building height on the top and shadow length on the bottom, using x for the unknown, which is the height of the building:
[tex]\frac{pole/building}{shadow}:\frac{3.4}{1.61}=\frac{x}{36.75}[/tex] and cross multiply to solve:
1.61x = 124.95 so
x = 78 m
Please do not put any files and links. pick 1 answer. help please this is so hard for me tbh
Answers
Answer:
let's convert the 25 yards into feets -> 75 feet of wire.
now let's subtract the alrdy used 15 ½ feet from we that
we got 59 ½ feet left
now let's just take ⅓ of this, just by dividing by 3.
since this seems to be a mess in calculation, let's put in the effort to convert in into inches first.
59 ½ feet = 59½*12 inches = 714 feet
now we should be able to take ⅓ of it cleanly (since we just multiplied by 12)
⅓ of 714 is just as dividing 714 by 3
= 238
the time machine needs 238 inches of wire
this isn't just picking an answer tough, on the bottom of the exercises are the unit conversations
For the figure shown, find m<1.
Answers
Answer:
Step-by-step explanation:
Sum of angles of a triangle = 180
So, 56 + 58 + x = 180
114 + x = 180
x = 116
Now ∠ 1 + ∠x = 180 [ straight line angles]
∠ 1 + 66 = 180
∠1 = 180 - 66 = 114°
OR
You can use the rule : Exterior angle = sum of 2 interior opposite angles.
56 + 58 = ∠1
114 = ∠1
The value of a Van Gogh painting increases by 7.3% each year. If it was valued at $94,000 in 1952, what will be its estimated worth in 2020?
Answers
Answer:
$11,321,630
Step-by-step explanation:
We solve using Exponential growth formula
A(t) = Ao (1 + r)^t
Ao = Initial worth = $94,000
r = Growth rate = 7.3% = 0.073
t = Time in years = 2020 - 1952
= 68 years
A(t) = Current worth in 2020 = After 68 years
A(t) = 94000 × ( 1 + 0.073)^68
A(t) = 94000 × 120.44286946
A(t) = 11,321,629.729
Therefore, the estimated worth of the Van Gogh painting in 2020 approximately = $11,321,630
A town has a population of 17000 and grows at 4% every year. What will be the population after 12 years. To the nearest whole number
Answers
Answer:
17000+3400 =
Step-by-step explanation:
Answer:
25,160
Step-by-step explanation:
ok if it grows 4% every year, 12 years later it will have grown 48%. so 48% of 17,000 is 8,160, so 17,000+8,160=25,160, so that is the population after 12 years.
PLZZZZ NEED HELP!!!
Which answer choices correctly describe the points labeled A, B, and C in the box plot?
Answers
Plz I need help with this question
Answers
20x2=40
30x2=60
Solve for x in the triangle round your answer to the nearest tenth
PLZ HELP ASAP I WILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
Answer:
x = 9.32
Step-by-step explanation:
For a right angles triangles , we can use trigonometry equations :-
In this case , we need to use sine equation in perpendicular :
sin θ = opposite side / hypotenuse
sin 58° = x / 11
x = sin 58 ° × 11
x = 0.84 × 11
x = 9.32852906
Round nearest tenth = 9.32
.
What is the solution set of 4x = y and 2x - y=0
Answers
Answer:
x = 0 , y = 0
Step-by-step explanation:
given:
[tex]4x = y \\\\2x - y = 0\\\\Substitute \ y\ =\ 4x\ in \ second \ equation :\\2x - 4x = 0\\\\-2x = 0\\\\x = 0, \\y = 0[/tex]
i need help with this!
Answers
Answer:
surface area of the square pyramid
=(10×10)+(2×10×8)
=100+160
=260 yd²
answer is first option
Please help thanks!
Answers
Answer:
10
Step-by-step explanation:
=13+ 3^3 ÷9 we can change it to:
=13+ 3^3/-9
3^3 can be changed to 27
13+ 27/9
=13+−3
=10