For questions 1-8, read and solve each problem; choose the best answer from the choices provided
for each item.
1. (MGSE9-12.F.BF.1) This table shows the number of people at a festival at certain times during
the day. Which function best represents the table below?
Hour (PM) 1 2 4 7 8
Number of People 12 19 33 54 61
A. f(x) = 7x + 12
B. f(x) = 7x + 5
C. f(x) = 5x + 7
D. f(x) = 5x + 12
Answer:
[tex] f(x) = 7x + 5 [/tex].
Step-by-step explanation:
The equation that represents the function can be written in the slope-intercept form, [tex] f(x) = mx + b [/tex].
To create an equation, we need to find the slope (m) and the y-intercept (b) of the function.
First, calculate the slope of the function using two points, (1, 12) and (2, 19).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{19 - 12}{2 - 1} = \frac{7}{1} = 7 [/tex]
Next, find b by substituting x = 1, f(x) = 12, and m = 7 into [tex] f(x) = mx + b [/tex].
[tex] 12 = (7)(1) + b [/tex]
[tex] 12 = 7 + b [/tex]
Subtract 7 from each side
[tex] 12 - 7 = b [/tex]
[tex] 5 = b [/tex]
[tex] b = 5 [/tex]
Substitute m = 7 and b = 5 into [tex] f(x) = mx + b [/tex].
✅Thus, the equation that represents the function would be:
[tex] f(x) = 7x + 5 [/tex].
help ASAP!
thank you so much
Fill in the blank to complete the equation below. 99 + 33 = 11(?+3)
Answer:
? = 9
Step-by-step explanation:
you know 99 + 33 = 132 so you can substitute that: 132 = 11 (? + 3). im going to change ? into x for now: 132 = 11 (x + 3). then distribute the 11 so 132 = 11x + 33. then subtract 33 from both sides (99 = 11x) and divide both side by 11 (x = 9) and you get 9!
hope this helps!
will mark brainliest
Write an expression for the perimeter of the triangle shown below:
A triangle is shown with side lengths labeled 2.3x plus 14, 2x, and negative 0.2x plus 15.
4.1x + 29
4.1x − 29
4.5x + 29
4.5x − 29
PQ and RS are two lines that intersect at point T, as shown below:
Two lines PQ and RS intersect at point T. Angles PTR and STQ are shown congruent.
Which statement is used to prove that angle PTR is always equal to angle STQ?
choices:
a. Lines PQ and RS do not have a fixed length.
b. Angle PTR and angle PTS are supplementary angles.
c.Lines PQ and RS intersect at an angle less than a right angle.
d.Angle PTR and angle PTS are complementary angles.
Answer:
theres a spot with a link icon where you can upload an image
Step-by-step explanation:
you just have to ss it first and then it will show up when you go to upload
The product of 4 and t is add to1
Answer:
17 cause 4×4 16 plus 1 is 17
Step-by-step explanation:
Branliest plz
Answer:
3=t
Step-by-step explanation:
4+t=1 Is that what your asking the equation?
4+t=1
-t -t
________
4=1-t
-1 -1
_________
3=t
Hope this helps :D
what is the slope of y = -x + 7
Answer:
slope m = - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 7 ← is in slope- intercept form
with slope m = - 1
Sorry guys but I still don’t understand, can you help me with this question?
Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
Someone please answer the questions and help me:(
Answer:
-3,-5,-4,-1,1-1,1-1,,3,3-,-3,-4,5-,-8,9--,5,3
Step-by-step explanation:
Rst is a right triangle rs=12 rt=20 st=15 what is sin r
Answer:
3/4 (0.75)
Step-by-step explanation:
sin r = 15/20 = 3/4 (0.75)
Which pair of triangles can be proven congruent by SAS?
ASAP
Can someone help me with this pleaseeee
For khan academy. Need answer immediately. Explain if you can
Answer:
The answer is B
In 2018, Gretal earned $32 000.
(i) She paid tax of 24% on these earnings.
Work out the amount she paid in tax in 2018
Gretal paid $7680 on tax in 2018.
What is a percentage?"A percentage is a ratio of a number to 100. The symbol % is used to indicate a percentage."
Given
Earning = 32000
Tax paid = 24%
Amount paid on tax = [tex]32000[/tex] × [tex]\frac{24}{100}[/tex]
= $7680
Hence, she paid $7680 on tax.
Learn more about percentage here
https://brainly.com/question/1466006
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3
Square TUVW on the coordinate plane has points T(0, 0), U (5, 5), and V (0, 10). What are the coordinates of point
W?
A (
55)
® (-5,5)
C (-5, -5)
D (10,0)
Answer:
Step-by-step explanation:
(-5,5)
What is unit squared used for in Geometry?
Answer:
area
Step-by-step explanation:
Can someone please help me with this one please
Answer:
Step-by-step explanation:
the answer is 3
What is the equation in slope-intercept form of the line that passes through the points (−4, 2) and (12, 6)?
Answer:
y = 1x/4 +3
Step-by-step explanation:
What is the difference between -4and 6
Answer:
The difference is 10.
6-(-4) = 10
she remaining amount Lily has yet to pay Megan is $. Lily owed Megan $129.42. So far, she has paid Megan $32.56.?????
Answer:
129.42 - 32.56 = 96.86$
Tessa received $50 from her Grandma for her birthday. She decided to put this money away and save an additional $12 per week so she can buy a $398 tablet. How many weeks will it take her to save? Please click both the equation and the solution.
Answer:
29 weeks.
Explanation:
398-50= 348
348 divided by 12= 29
She has to save up for 29 weeks to get her tablet.
Mario deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Mario leaves the money in the account for 12 years, how much interest will he earn?
Answer:
$2,184
Step-by-step explanation:
Simple interest = (Principal × Rate × Time) / 100
Principal = $6,500
Rate = 2.8%
Time = 12 years
Simple interest = (Principal × Rate × Time) / 100
= (6,500 × 2.8 × 12) / 100
= 218,400 / 100
= 2,184
Simple interest = $2,184
The simple interest on $6,500 at 2.8% for 12 years is $2,184
scientific notation the question is 4x10 to the power of negative 9
Answer: -15
Step-by-step explanation:
I think that's right
simplify x X x^5 divided by x^2 X x
Answer:
[tex]\huge\boxed{(x\cdot x^5):(x^2\cdot x)=x^3}[/tex]
Step-by-step explanation:
[tex](x\cdot x^5):(x^2\cdot x)\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=x^{1+5}:x^{2+1}=x^6:x^3\qquad|\text{use}\ a^n:a^m=a^{n-m}\\\\=x^{6-3}=x^3[/tex]
Answer:
X × X^5 ÷ X^2 ×X
X^3
because the same variable can be cancelled.
What is the slope of the line parallel to 7x + 4y = -16?
Answer:
The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercepts
The slope of the line who has an equation ax + by = c is m = [tex]\frac{-a}{b}[/tex]
Let us use these rules to solve the question
∵ The equation of a given line is 7x + 4y = -16
→ Compare it with the form of the equation above
∴ a = 7 and b = 4
∵ The slope of the line = [tex]\frac{-a}{b}[/tex]
∴ The slope of the line = [tex]\frac{-7}{4}[/tex]
∵ Parallel lines have the same slope
∴ The slope of the line that is parallel to the given line is [tex]\frac{-7}{4}[/tex]
PLEASE HELP ILL GIVE BRAINLIEST. Which graph displays a rate of change of 2.5?
fy
Ay
4
2
2
x
X
2
4
2
-2
4
2.
-4
-4
4
-2.
2
2
2
-4
Step-by-step explanation:
i can't see the graph but I have done it before it is middle one
Which rigid transformation(s) can map TriangleMNP onto TriangleTSR? reflection only rotation only translation, then reflection translation, then rotation
Answer:
C.) translation, then reflection
Step-by-step explanation:
It just is...I already know someone is about to see my answer and come up with this super logical explanation but dude this is just the simple terms of geometry at least in the topic I'm learning.....plus I got it correct on my quiz on edge lol
The triangle MNP is translated and then reflected. Then the correct option is C.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position. Picture, after translation, refers to the object's ultimate organization and placement. From just before the refers to the material's initial condition.
The translation does not change the shape and size of the geometry. But changes the location.
The reflection does not change the shape and size of the geometry. But flipped the image.
The triangle MNP is translated and then reflected. Then the correct option is C.
The diagram is given below.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
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Find the slope of the line that passes through the points (-6,-4) and (2,4)
A. slope= 1
B. slope= -1
C. slope= 4
D. slope= -4
Answer:
The slope is 1. A.
Step-by-step explanation:
What are the partial products for 35 x 7?
Answer:
Step-by-step explanation:
35x7=245.
5x7+7x1=245
Hope dis helps :3
Answer: the partial products would be: 7 x 30 and 7 x 5. i think