Zander was given two functions: the one represented by the graph and the function f(x) = (x + 4)2. What can he conclude about the two functions?

They have the same vertex.
They have one x-intercept that is the same.
They have the same y-intercept.
They have the same range.

Answers

Answer 1

Answer:

C.They have the same y-intercept.

Step-by-step explanation:

Edge 2021

Answer 2

The conclusion about the two functions is (c) they have the same y-intercept.

What are functions?

Functions are used to represent equation, graphs and tables

The equation of the function is given as:

[tex]f(x) = (x + 4)^2[/tex]

Set x = 0, to calculate the y-intercept

[tex]f(0) = (0 + 4)^2[/tex]

Evaluate

[tex]f(0) = 16[/tex]

From the complete question, the graph crosses the y-axis at y = 16

This means that both functions have the same y-intercept

Hence, the true statement about the functions is (c) they have the same y-intercept.

Read more about functions at:

https://brainly.com/question/15602982


Related Questions

The axis of symmetry of a parabola is the line x = 6. What is the x-coordinate of the vertex of the parabola?

Answers

Answer:

x-coordinate of the vertex: h = 6.

Step-by-step explanation:

The axis of symmetry is an imaginary line that divides the graph of a parabola into two congruent parts.  The vertex of a parabola, (h, k) is the point where the graph intersects the axis of symmetry.

In the standard form of quadratic equation, y = ax² + bx + c:

[tex]\large \sf{axis\:of\:symmetry:\:x\:=\:\frac{-b}{2a}}[/tex]

In the vertex form of quadratic function, y = a(x - h)²+ k:

[tex]\large \sf{axis\:of\:symmetry:\:h\:=\:\frac{-b}{2a}}[/tex]

Hence, the axis of symmetry is the point where x = h.  

Given these definitions, we can infer that the x-coordinate of the axis of symmetry is the same as the x-coordinate of the vertex, where h = 6.

answer options are:

A) (3.5, 0.5)
B) (3.6, 1)
C) (4.3, 3)
D) (4.5, 3.5)

answers B and C have a small horizontal line above the x coordinate decimal place. i have no idea what that means.​

Answers

Answer:

A) (3.5, 0.5)

Step-by-step explanation:

The small horizontal line represents that that digit is repeated to the right of the decimal point ad infinitum. Example would be the decimal equivalent of 1/9 = 0.11111111111... or 0.1 overbar

so 3.6 overbar  would be 3.6666666... or 3⅔

and 4.3 overbar would be 4.3333333... or 4⅓

With AB being 3 times longer than BC, the total distance from A to C is 4 units and AB is 3/4 of that distance.

The x value changes -2 units from 5 to 3.

The x value of B is -2(3/4) = - 1.5 from 5 or 3.5

The y value changes -6 units from A to C

The y value of B is -6(3/4) = -4.5  from 5 or 0.5

B = (3.5, 0.5)

what is the area of the triangle?

Answers

Answer:
The second one (B) I think hope this is correct! Have a good day! :) or night

Julie withdrew $64 from her savings account. After the withdrawal she has $127. How much money did julie have before she made the withdrawal?

Answers

Answer:

191

Step-by-step explanation:

All you have to do is 127+64 to get the total before the withdrawal.

Month. Revenue. Expenses
1. $740 $3,010
2. $995 $2,850
3. $1,200 $2,700
4. $1,500 $2,490
5.

Graph the information presented in the table. Use that graph to predict the week that revenue will equal expenses for this small company.
Note: Revenue and Expenses are drawn on the vertical axis and Month is on the horizontal axis.

Week 8
Week 6
Week 5
Week 7

Answers

Week 6 sorry if I’m wrong

ху
02
(2 4
3 5
4 6
--)
2) Which function represents the relationship between x and y?
A) y = x + 2
By - 2x
ay-x+ 4
D) y = x-2

Answers

Answer:

2 Independent Random Variables The random variables X and Y are said to be independent if for any two sets of real numbers A and B, (2.4) P(X 2 A;Y 2 B) = P(X 2 A)P(Y 2 B): Loosely speaking, X and Y are independent if knowing the value of one of the random variables

Step-by-step explanation:

How many Solutions does 6 + x/5 = x/5 - 5 - 3x/10 have?

Answers

9514 1404 393

Answer:

  1 solution (x = -36 2/3)

Step-by-step explanation:

  6 + x/5 = x/5 - 5 - 3x/10 . . . . . . . given

  60 +2x = 2x -50 -3x . . . . . . . . . multiply by 10

  3x = -110 . . . . . . . . . . . . . . . .  add x-60 to both sides

  x = -110/3 = -36 2/3 . . . . . .divide by the coefficient of x

There is one solution to the equation.

_____

Additional comment

The coefficient of x on the left side of the equation is not equal to the coefficient of x on the right side. When that is the case, the equation will have one solution.

When the coefficients are equal, there will be no solutions if the constants are different, and there will be infinite solutions if the constants are the same.

Which of the following is a solution to the given equation? y = -3x - 7

Answers

Answer:y = 3(-2) - 7

Step-by-step explanation:

4m 10m - - The accompanying figure is a water tank whose radmis is 4m and height 10m. 4.1 Determine the total surface area of the tank. (3)


Answers

Answer:

45789932

Step-by-step explanation:

3456899954433222222344577890009

Billie bikes 9 miles in 45 minutes. At this rate, how many miles can he bike in 90 minutes?

Answers

Answer:

18 miles

Step-by-step explanation:

9 miles : 45 minutes

? miles : 90 minutes

45 x 2 = 90 minutes

9 x 2 = 18 miles

Yesterday, there were 96 problems assigned for math homework. Hanson got 72 out of 96 problems correct. What percentage did Hanson get correct?​

Answers

Answer:

He got 75% correct

Step-by-step explanation:

72/96 = 3/4 = 0.75

0.75 × 100 = 75%

If the principal is $3,200.00 and the rate of interest is 8%, what is the final account balance after 3 years

Answers

The answer is $2,432. I hope this is correct:) sorry if it isn’t

Answer:

i think it would round to 4031.08

Step-by-step explanation:

3200.00 * 1.08^3

=4032.0784

Which inequality is graphed below?


A- y<1/4x-1

B- y>1/4x-1

C- y<_ 1/4x-1

D- y>_ 1/4x-1

Answers

Step-by-step explanation:

It is represented by ,

=> y ≥ 1/4x -1

Keith’s Florists has 15 delivery trucks, used mainly to deliver flowers and flower arrangements
in the Greenville, South Carolina, area. Of these 15 trucks, 6 have brake problems. A sample
of 5 trucks is randomly selected.
a. What is the probability that 2 of those tested have defective brakes? (5 marks)
b. Is this a discrete or continuous distribution? Explain.

Answers

Answer:

= 0.419

Step-by-step explanation:

in pic  

(Hope this helps can I please have brainlist (crown)☺️)

is 2k(2k-4) odd or even?

Answers

Answer: Even

Step-by-step explanation:

Because it shows that the is 2k

the even numbers 2k+2,2k+4,...,4k,4k+2

What is the slope of the line that passes through the points (6, -10) and (3, -13)?
Write your answer in simplest form.

Answers

[tex](x_1, y_1) = (6,-10),~~ (x_2, y_2) = (3,-13)\\\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-13 +10}{3 -6} =\dfrac{-3}{-3} =1[/tex]

In a class of 25 students, 15 are female and 16 have an A in the
class. There are 12 students who are female and have an A in the
class. What is the probability that a student has an A given that
а
the student is female?

Answers

Answer:  4/5

Work Shown:

m = number of girls who have an A = 12

n = number of girls in the class = 15

probability = m/n = 12/15 = (3*4)/(3*5) = 4/5

what is the best estimate of 97/7 and 1 3/4

Answers

Answer:

next question nexy question


There are 10 circles and 2 triangles. What is the
simplest ratio of triangle to circle

Answers

5:1
5 being the circles, 1 being the triangles

Answer:

1:5

Step-by-step explanation:

put no. of triangles over no. circles because it asks triangles to circles

2/10

1/5........simplify

Samuel wants to use his earnings from Monday and Tuesday to buy some batteries that cost 5.60 each how many batteries can samuel buy

Answers

How much did Samuel make I can answer it if you give me the number

Answer:

i cannot answer this because i do not know hw much money he has made.

Step-by-step explanation:

evaluate the expression 5+3
some one answer me with a question not a link ​

Answers

Answer:

8

Step-by-step explanation:

Add 5 and 3

-Lexi

HELP PLEASE!!
Use the drop-downs to complete the sentences about this arithmetic sequence.
32, 41, 50, ...
The common difference is ___.
The fourth term is ______
The fifth term is ______

Answers

Answer:9,59,68

Step-by-step explanation:

Just got it right

40% of the students in mr. Watsons class speak a second language. If 10 students speak a second language how many students are in mr. Watsons class

Answers

Answer:

25 students are in mr. Watsons class.

Step-by-step explanation:

10/40=.25, so 25 students

What is the density of the oak board? Show your work.

What is the density of the oak board? Show your work.

Answers

Answer:

it is 5.5 inches wide, 1.5 inches thick and 3 feet long

Answer: Im not really sure if this is correct but it's what I put so I hope it is. If it's incorrect please let me know.

Step-by-step explanation:

We first need to find its mass and volume.

Mass: 8.05

Volume: Turn 3 feet into inches: 36

36in × 1.5in × 5.5in =297

Density : 8.05lb ÷ 297 cubic inches = 0.027 cubic inches

how many different 12 member teams can be chosen from a pool of 32 people

Answers

Answer:

Step-by-step explanation:

32 choose 12

[tex]\frac{32!}{(32-12)!*12!}[/tex]=225792840

Answer:

P(12,32) = 32!/20!12!

= 2257928402

Hope it helps you

Rewrite the expression with
parentheses to equal the
given value.
3x 8-5 + 3

value: 12

Answers

3 x (8 - 5) + 3

Parentheses go first here, so 8 - 5 is 3.
Multiplication goes next, so 3 x 3 is 9.
Addition goes last, so 9 + 3 is 12.

Due Tomorrow: Answer question 20 using steps

Answers

Answer:

angle CAB = 37

segment AC = 4.0

segment BC = 3.0

Step-by-step explanation:

angle CAB is complementary with angle ABC. 90-53=37. This is a right triangle, meaning we can use SohCohToa to find side lengths. AC = 5 * sin(53) = 4.0, and BC = 5 * cos(53) = 3.0.

Rope that is cut 3/4 in length is cut into 2 pieces how long is each piece

Answers

Answer 3/8

For this question we can use the rules of multiplying fractions: 3/4 times 1/2

3 times 1 = 3

4 times 2 =8

The answer is 3/8 or 0.375

-0.15 as a mixed number

Answers

Answer:

A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number. It is partly a whole number. It is partly a fraction.

Musa had 3/ 5 ton of grain for all the animals on his large farm. He used 1 /20 ton each day to feed all his animals. How many days was it until Musa needed more grain?

Answers

Answer:

12 days

Step-by-step explanation:

'd' = number of days

1/20d ≤ 3/5

multiply each side by 20 to get:

d ≤ 60/5 or d ≤ 12

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