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
Divide 3/5 by 1/2 as a reduced fraction.
Answers
Answer:
You can't divide two fractions together, so you multiply the second fraction by taking its reciprocal.
[tex]\frac{3}{5} * \frac{2}{1} \\\\= \frac{6}{5}[/tex]
If we divide the [tex]\frac{3}{5}[/tex] by [tex]\frac{1}{2}[/tex] so the decrease fraction should be [tex]\frac{6}{5}[/tex].
Given that,
The fraction is [tex]\frac{3}{5}[/tex].And, the other fraction is [tex]\frac{1}{2}[/tex].Now it should be divided to come as a reduced fraction.So, the decreased fraction should be
[tex]= \frac{3}{5} \times \frac{2}{1} \\\\= \frac{6}{5}[/tex]
Therefore we can conclude that if we divide the [tex]\frac{3}{5}[/tex] by [tex]\frac{1}{2}[/tex] so the decrease fraction should be [tex]\frac{6}{5}[/tex].
Learn more about the fraction here: brainly.com/question/6201432
The equation of line CD is y = -2x - 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).
y = -2x + 13
y=zx+7
y=x+3
y = -2x - 3
Answers
Answer:
y = -2x + 13
Step-by-step explanation:
9. How many ways can 6 different items be arranged in a line and how many ways can 6 different items be arranged in a circle? 1
Answers
A picnic favorite is strawberry Shortcake! Each batch of strawberry
shortcake calls for 1 2/5 pounds of cake and 3/4 pound of strawberries. If
you want to make 5 batches of strawberry shortcake, how many pounds
of cake and strawberries do you need to buy?
Answers
To make 5 batches of strawberry shortcake you'll need 7 pounds of cake and 3 3/4 pounds of strawberries for a total sum of 10 3/4 pounds.
Step-by-step explanation:1 - Write an equation to represent the problem
For every batch, it takes 1 2/5 pounds of cake and 3/4 pounds of strawberries
therefore
[tex]Let \\\ n_c = pounds~of~cake \\\n_s = pounds~of~strawberries \\\b = number~of~batches[/tex]
[tex]n_c = 1 \frac{2}{5}b \\\n_s = \frac{3}{4}b[/tex]
For ease of math, lets convert these to decimals
[tex]n_c = 1.4b \\\n_s = 0.75b[/tex]
2 - Plug in your variables to solve for cake and strawberries
Cake
[tex]n_c = 1.4b \\\ n_c = 1.4(5)\\n_c = 7[/tex]
To make 5 batches of strawberry shortcake you will need 7 pounds of cake
Strawberry
[tex]n_s = 0.75b \\\n_s = 0.75(5) \\\n_s = 3.75[/tex]
to make 5 batches of strawberry shortcake you will need 3.75 or 3 3/4 pounds of strawberries --- Totalling in at 10.75 pounds or 10 3/4
Hope this helps :)
Which of the following statements is true about the three quadrilaterals?
a. D and E are similar but not congruent.
b. E and F are similar and congruent.
c. D and E are similar and congruent.
d. F and D are similar but not congruent.
Answers
PLEASE HELP ME PLEASE!!!
Answers
Answer:
cant not see the photo honey
Step-by-step explanation:
Answer:
For point (1, -2): -2 = -1 - 1 = -2. Therefore, point (1, -2) lies on the graph of the equation.
The graph of the equation is the set of points that are solutions to the equation.
A coordinate pair on the graph of the equation is a solution to the equation.
For the point (0, -1): -1 = -(0) - 1 = 0 - 1 = -1.
Therefore, The point ( 0, −1 ) lies on the graph of the equation.
Step-by-step explanation:
I feel like this wont help- qwq okay the answer is C-
Which expression is equivalent to 2(m − 4) + 1?
A. 2m − 7
B. 2m − 3
C. 2m + 9
D. 2m + 10
Answers
Answer: The answer it A
2(m-4)+1
2m-8+1
2m-7
2(m-4)+1
You would do distributive property which you would do 2×4 which is 6+1=7 which therefore it would be
Determine the slope of the line that passes through the points M(-3,5) and N(1,8). Represent the slope in decimal form.
Answers
Answer:
0.75
Step-by-step explanation:
y²-y¹/x²-x¹
8-5/1-(-3)
3/4
=0.75
Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag.
What is the probability that Tara will select a blue marble from each bag?
Answers
Answer:
The first bag, 1 in 3 and the second, 2 in 9.
Step-by-step explanation:
If there are 15 total marbles in the first bag, and 5 blue, there is a 5 in 15 chance, or 1 out of 3 chance she could pull a blue out of the first bag. The second bag, has 9 in total and 2 blue, so there is a 2 in 9 chance she could pull out a blue from the second bag. Hope this helps!
Answer:
2/27
Step-by-step explanation:2/27
Helpp pls it’s 25 points each
Answers
Answer:
1.= 2.5
2.= is incorrect because there should not be more than one = sign
Step-by-step explanation:
In the school library, there are 110 fiction books, 250 nonfiction
books, and 125 magazines. The ratio of fiction books to magazines is 110 : 125.
Write the ratio of fiction books to magazines as a fraction, a decimal, and a
percent.
Answers
Answer:
110/125 = 22/25
0.88
%88
Step-by-step explanation:
It's basic math.
Please help I don’t get it
Answers
Answer:
the answer is y= 3/4x+2
Step-by-step explanation:
the y intercept is your constant term, which is 2. Your slope is how much the line is incresing with every x. Hope this helped xxx
Y-y1 = m(X-x1)
Y-2 = -3/4 (X-0)
Y-2 = -3/4x
Y = -3/4x + 2
Which of the following numbers is irrational?
-0.3
Answers
Answer:
-3/10
Step-by-step explanation:
Write the equation of the line that is perpendicular to y = -2x + 4 and goes through the point (6, 5). Show all work for credit.
Answers
Answer:
y = 1/2x + 2
Step-by-step explanation:
The slope of a perpendicular line is the opposite reciprocal of the original line.
-2 -> 1/2
Find the new y-intercept with the point we are given (6, 5).
y = 1/2x + b
5 = 1/2(6) + b
5 = 3 + b
2 = b
Fill in everything we solved for back into the orignal formula.
y = 1/2x + 2
Best of Luck!
please help need this urgently
Answers
Answer:
a
Step-by-step explanation:
Answer:
The answer is A. y=1/3x+4
Explanation:
Perpendicular means that the slope is flipped and the only answer that has -3 flipped is A.
Dana is making a seating chart for an awards banquet. There are 152 people coming to the banquet.
If 8 guests can be seated at each table, how many tables will be needed for seating for the awards
banquet?
tables will be needed.
Answers
Answer:
19
Step-by-step explanation:
152/8
Find the slope of the line passing through the points ( -9, 3) and (6, 3)
Answers
Answer:
M=0
Step-by-step explanation:
help this is my last try!!!!!!!!!!!!!!!!!!!!!!!!11
Answers
Answer:
2^8=256
Step-by-step explanation:
Multiply the exponents and simplify
What is the slope of the line with the following coordinates from the
table?
Answers
(y2 - y1)/(x2 - x1)
Answer: The slope is 1/8
Step-by-step explanation:
The x values go up by 8. That gives the run.
the y values go up by 1. That gives the rise.
Slope is rise/run SO
1/8 is the slope.
Graph attached.
John has a part-time job. He is payed £6.80 per hour. This week he worked for 9 and a half hours. Work out John's total pay for this week.
Answers
Answer:
£64.6
Step-by-step explanation:
Multiply £6.80 by 9
£61.2
Now divide £6.80 by 2
£3.4
Add £3.4 to £61.2
The answer is £64.6
(I think)
Hope this helps :)
I worked on the project until it was completed.
Identify the subordinate clause in the complex sentence.
I worked on the project
on the project
it was completed
until it was completed
Answers
Answer:
until is was completed
Step-by-step explanation:
d on edgnuity
Charlotte wants to know which website gains more new subscribers per amount of content. 1) Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options. Choose 2 answers: Choose 2 answers: (Choice A) A Number of new subscribers divided by number of writers (Choice B) B Number of new subscribers divided by number of likes (Choice C) C Number of new subscribers divided by number of posts (Choice D) D Number of new subscribers divided by number of words 2) Determine which website gains more new subscribers per amount of content according to the two definitions. Did you get the same result for both definitions? Choose 1 answer: Choose 1 answer: (Choice A) A Yes. According to both definitions, website A gains more subscribers per amount of content. (Choice B) B Yes. According to both definitions, website B gains more subscribers per amount of content. (Choice C) C No. The definitions have opposite results.
Answers
Answer:
1)
Number of new subscribers divided by number of posts.
Number of new subscribers divided by number of words.
2)
No. The definition have opposite results
Step-by-step explanation:
Khan academy said it was right tehee
Answer:
Step-by-step explanation:
number of new subscribers divided by posts
number of new subscribers divided by the number of words
no the definitions have opposite results.
what is the answer to 6(-⅔) =
Answers
Answer:
-4
Step-by-step explanation:
6 × [tex]-\frac{2}{3}[/tex] = -4I hope this helps!
-5 + (-10)
Find the sum please and thank you!
Answers
Answer:
It is the -15 one I think
Answer:
The answer is -15 (A)
Step-by-step explanation:
The question shows that the two numbers are negatives, and the symbol is in addition. when you add negative numbers, the sum will be lower than both negatives. So -5 plus -10 is -15 (A).
what is
-4/3(12k + 27) = -57 - 9k
Answers
Answer:
Step-by-step explanation:
-16k - 36 = - 57 - 9k
-36 + 57 = - 9k + 16k
21 = 7k
21/7 = k
3 = k
A side of the triangle below has been extended to form an exterior angle of 125°. Find the value of xx.
Answers
Answer: 55
Step-by-step explanation:
x+125=180
subtract 125 on each side
when you do that 125 cancels out and your left with
180-125=55
The value of x from the given triangle is 55°.
Given that, a side of the triangle below has been extended to form an exterior angle of 125°.
What are adjacent angles?Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.
From given figure, the exterior angle of tringle is 125° and x is adjacent angle to that.
Now, 125°+x=180°
⇒ x=180°-125°
⇒ x=55°
Hence, the value of x from the given triangle is 55°.
To learn more about the adjacent angles visit:
https://brainly.com/question/12838185.
#SPJ2
this is pretty easy
two step equation!!
Answers
Answer:
Step 1: Simplify both sides of the equation.
z
3
−8=−4
1
3
z+−8=−4
1
3
z−8=−4
Step 2: Add 8 to both sides.
1
3
z−8+8=−4+8
1
3
z=4
Step 3: Multiply both sides by 3.
3*(
1
3
z)=(3)*(4)
z=12
Answer:
z=12
Step-by-step explanation:
Select the correct answer.
Gio created a scatter plot and drew a line of best fit, as shown
Answers
Answer:
y=3x+5 is the answer for this question
Answer:
y= 1/3x+4
Step-by-step explanation:
The y-intercept is at 4 and the slope is 1/3
What is the correct answer?
Answers
Answer:
C) (-3, -1)
Step-by-step explanation:
y = 5/3x + 4
When x = 0, y = 4
When y = 0, x = -2.4
graph the points: (0, 4) and (-2.4, 0)
y = -2/3x - 3
When x = 0, y = -3
When y = 0, x = -4.5
graph the points: (0, -3) and (-4.5, 0)
The lines will cross at point: (-3, -1)
answer this just tell me the color
Answers
Answer:
yellow
Step-by-step explanation:
