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
Answers
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].
Related Questions
A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?
Answers
Answer:
4x+12
Step-by-step explanation:
A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?
(5+2x)+(7+2x)
The perimeter would be 4x+12
Hope I helped!
Please mark Brainliest!!!
Answer:
The answer is A. 4x+12
Step-by-step explanation:
Just took the test on edge 2020 :D
·Has to be a number
Answers
Answer:
x=-4
Step-by-step explanation:
which is the estimate of each product 11/12 x 4/5
Answers
Answer:
[tex]\frac{11}{15}[/tex]
Step-by-step explanation:
[tex]\frac{11}{12} *\frac{4}{5}[/tex]
You can simplify to make life easier
[tex]\frac{11}{3}*\frac{1}{5}=\frac{11}{15}[/tex]
I just need help with the graphing the rest of them are all drop downs lol
Answers
What is the equation of the line that passes through the point (−3,4) and has a slope of 1 ?
Answers
Answer:
y = x + 7
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 )
Here m = 1, thus
y = x + c ← is the partial equation
To find c substitute (- 3, 4) into the partial equation
4 = - 3 + c ⇒ c = 4 + 3 = 7
y = x + 7 ← equation of line
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We have following equation to find the point-slope form of the linear functions.
[tex]y - y(0) = m \times ( \: x - x(0) \:) [/tex]
In which :
[tex]y(0) = y \: \: given \: \: point = 4[/tex]
[tex]x(0) = x \: \: given \: \: point = - 3[/tex]
[tex]m = slope = 1[/tex]
Now just need to put the coordinates and the slope in the above equation.
[tex]y - 4 = 1 \times ( \: x - ( - 3) \: )[/tex]
[tex]y - 4 = x + 3[/tex]
Add sides 4
[tex]y - 4 + 4 = x + 3 + 4[/tex]
[tex]y = x + 7[/tex]
Done...
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2x+y =8 and y=x-7 solve by substitution
Answers
Answer:
you can do this by this please vote also
graph the function h(x) = (x - 5)2+ 6
Answers
Answer:
x = 2
Step-by-step explanation:
have a nice rest of your day
I am unable to understand how to solve this question, please send the working out.
Answers
(
9
x
)
1
2
8
x
−
1
2
3
(9x)
2
1
3
√
8x
−
2
1
2 Convert
(
9
x
)
1
2
(9x)
2
1
to square root.
9
x
8
x
−
1
2
3
√
9x
3
√
8x
−
2
1
3 Use this rule:
a
b
=
a
b
√
ab
=√
a
√
b
.
9
x
8
x
−
1
2
3
√
9
√
x
3
√
8x
−
2
1
4 Since
3
×
3
=
9
3×3=9, the square root of
9
9 is
3
3.
3
x
8
x
−
1
2
3
3√
x
3
√
8x
−
2
1
5 Use Multiplication Distributive Property:
(
x
y
)
a
=
x
a
y
a
(xy)
a
=x
a
y
a
.
3
x
8
3
x
−
1
2
3
3√
x
3
√
8
3
√
x
−
2
1
6 Calculate.
3
x
×
2
x
−
1
2
3
3√
x
×2
3
√
x
−
2
1
7 Use this rule:
(
x
a
)
b
=
x
a
b
(x
a
)
b
=x
ab
.
3
x
×
2
x
−
1
2
×
3
3√
x
×2x
2×3
−1
8 Simplify
2
×
3
2×3 to
6
6.
3
x
×
2
x
−
1
6
3√
x
×2x
6
−1
9 Move the negative sign to the left.
3
x
×
2
x
−
1
6
3√
x
×2x
−
6
1
10 Use Negative Power Rule:
x
−
a
=
1
x
a
x
−a
=
x
a
1
.
3
x
×
2
×
1
x
6
3√
x
×2×
6
√
x
1
11 Use Quotient Rule:
x
a
x
b
=
x
a
−
b
x
b
x
a
=x
a−b
.
\[3\times 2\sqrt[2}-\frac{1}{6]{x}\]
12 Simplify
1
2
−
1
6
2
1
−
6
1
to
1
3
3
1
.
3
×
2
x
3
3×2
3
√
x
13 Simplify.
6
x
3
6
3
√
x
Answer:
[tex](9x)^{\frac{1}{2} }.(8x^{\frac{-1}{2} })^{\frac{1}{3} }\\\\=9^{1/2}.x^{1/2}.8^{1/3}.x^{-1/2.1/3} \\\\=3.2.x^{1/2}.x^{-1/6} \\\\\\=6.x^{1/2-1/6}\\\\=6x^{1/3}[/tex]
Step-by-step explanation:
ex.
What is the measure of angle K?
11°
O 25°
O 50°
O 65°
Answers
Answer: 25
i just took the quiz, it’s 25.
plz help this is my last try!!!!!!!!!!!!!
Answers
Answer:
4x^6
Step-by-step explanation:
what isthe area of the circle or semicircle 2.5
Answers
Answer:
I don't know what your question was but the radius would eqaul .089 so the area is 2.5
Answer:
0.89
Step-by-step explanation:
the area of the. ..............
If u understand this May u help me please
Answers
Answer:
Sure what you need help with?
Step-by-step explanation:
Help me asap please!! I'll give brainliest
Answers
Answer:
first one
Step-by-step explanation:
Al sumar su doble, su mitad y 15 se obtiene 99.
Answers
Answer:x = numero
2x= doble
x/2= mitad
sumamos todo : x+2x+x/2+15=99
7x/2= 99-15
7x= 84(2)
x=168/7
x=24
comprueba sumando 24+48+12+15=99 suerte!!!
Step-by-step explanation:
The value of the unknown number is 33.6
Let the unknown number be "x"
The half of the number is 0.5x
Double of the number is expressed as 2x
Adding this functions together and 15 and equating to 99 will give;
0.5x + 2x + 15 =99
Solve for x
2.5x = 99 - 15
2.5x = 84
x = 84/2.5
x = 33.6
Hence the value of the unknown number is 33.6
Learn more here: https://brainly.com/question/16510024
Determine the intercepts of the line.
x-intercept(_,_)
y-intercept(_,_)
Answers
Answer:
the X - intercept is (-7,0)
the Y - intercept is (0,2)
Step-by-step explanation:
the Y intercept is where the line crosses the Y axis
the X intercept is where the line crosses the X axis
Hope this helps
Solve.
24 + d = 30
d =
Answers
Answer:
I think d = 6 because 24 + 6 = 30
Answer:
d=6
Step-by-step explanation:
Write an equation of a vertical line that contains the point (-2,5)
Answers
Answer:
x=-2
Step-by-step explanation:
The line is vertical and/or undefined and it passes through the point (-2,5).
True or False? The blue radius is perpendicular to the green chord.
Answers
The statement that the blue radius is perpendicular to the green cord is false
From the complete question,
The blue radius does not bisect the green chord
This means that the blue radius and the green chord do not meet at 90 degrees
Since both lines do not meet at 90 degrees, then they are not perpendicular
Hence, the statement that the blue radius is perpendicular to the green cord is false
Read more about radius and chords at:
https://brainly.com/question/1869643
The bar graph shows the differences in a city’s rainfall from the historical average. Find the sum of the differences for the year. Write your answer as a decimal.
Answers
Answer:
The total amount of rainfall for the year is negative, -1.73
Step-by-step explanation:
-0.45 + -0.88 + 0.94 + -1.67 + -0.96 + 0.83 + 2.36 + 1.39 + 0.35 + -1.35 + -0.9 + -1.39 = -1.73
What is the slope of the line with the points (3,5) and (6,4)
Answers
Answer:
The slope is -1/3
Step-by-step explanation:
(y2-y1)/(x2-x1)
(4-5)/(6-3)
-1/3
Can someone please solve this before I get my phone taken away?
Answers
Answer:
option 1 or should be
Step-by-step explanation:
4/1.5 is 2.6 and 2/3 as a fraction is 66666 so yeah
The property tax on a $60,000 home is $1,500. At this rate what will the property tax be on a home worth $75,000?
Answers
Answer:
The answer is $1,875
Step-by-step explanation:
1. I just divided $60,000 by 2 and $1,500 by 2 and got $30,000:$750
2. I realized I needed to do more so I divided again and got $15,000:$375. Next I added it to the question $60,000 + $15,000 = $75,000
3. So then $1,500 + $375 = $1,875
4. $75,000:$1,875
4. Hope this helps :)
Instantaneous vs Average Rate of change
PLEASE AND THANKSSS:))
Answers
what is the answer to this equation below?
x +x = x
what is x?
Answers
Answer:
x=0
Step-by-step explanation:
x+x-x=x-x
Answer:
x=0...........................................
What would be the slope for a line perpendicular to y = -¼x + 2?
Answers
Answer:
m perpendicular= [tex]-\frac{1}{notlinear}[/tex]
Step-by-step explanation:
So if our slope is negative, the slope perpendicular to that would be the positive reciprocal.
Let m= -A/B so the slope perpendicular to that would be B/A
Here our slope is -1/4 so the slope perpendicular to that would be -(-4/1) which is just 4
Therefore your perpendicular slope would be 4
Which expression is equivalent to (2x^2+3x-4)-(x^2-2x+4)
Answers
Answer:
3x + 2 = 14
Step-by-step explanation:
Will give brainliest
Answers
i dont no but can someone help me on this???
Pick one thing about the U.S. Constitution including its amendments that you think should be changed. What modifications that you would make? Explain your reasons for making this change. Please write a 5 paragraph essay that details the changes
PLEASE HELP ME I REALLY NEED HELP IN ALGEBRA
(a) Does the graph represent a constant-rate relationship?
(b) Explain how you determined your answer in part A.
(c) If this is a constant-rate relationship, what is the constant rate?
Answers
Answer:
A no it is not
B his is because if you look at 1 on the x axis line you will see it matches 1 on the y axis but if you look at 4 on the x axis it is 2 on the y axis so it is not constant
C Thee was no constant relationship
The image of (2,-5) under the translation (X-3.y+6)
Answers
Use substitution to solve the system.
x=3y+5
5x-4y=14
______________
x=
y=
Answers
x=2
y=-1