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Angelina_Jolie [31]

3 years ago

10

Linear function f(x) = x is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the origin

al line to ¾ and the y-intercept to 6. Which statement about the relationship between these two graphs is true?

1 answer:

horsena [70]3 years ago

8 0

Answer:

The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up.

Step-by-step explanation:

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Bev earns $2 a week for taking out her neighbor’s trash cans. Complete the table of values. Then state the domain and range.

Eduardwww [97]

Domain : $\{1,2,3,4\}$

Range: $\{2,4,6,8\}$

Explanation:

It is given that Bev earns $2 a week.

Thus, for n number of weeks, we shall multiply $2 with n.

Where $n=1,2,3,4$ is the number of weeks.

For 1 week, Bev earns $2n=2(1)=2$ ⇒ $2

For 2 weeks, Bev earns $2n=2(2)=4$ ⇒ $4

For 3 weeks, Bev earns $2n=2(3)=6$ ⇒ $6

For 4 weeks, Bev earns $2n=2(4)=8$ ⇒ $8

Thus, we can see that the domain is the number of weeks.

Hence, Domain : $\{1,2,3,4\}$

Also, the money earned is the range.

Hence, Range: $\{2,4,6,8\}$

6 0

3 years ago

Convert y = x^2 + 2x - 5 into the form y-k = a( x- h)^2

leva [86]

Answer:

$y+6=(x+1)^{2}$

Step-by-step explanation:

we have

$y=x^{2}+2x-5$

This is the equation of a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

The equation of a vertical parabola into vertex form is

$y-k=a(x-h)^2$

where

(h,k) is the vertex of the parabola

Convert the equation into vertex form

Move the constant term to the left side

$y+5=x^{2}+2x$

Complete the square

$y+5+1=x^{2}+2x+1$

$y+6=x^{2}+2x+1$

Rewrite as perfect squares

$y+6=(x+1)^{2}$

therefore

$a=1\\h=-1\\k=-6$

The vertex is the point (-1,-6)

7 0

3 years ago

DVD Video Rentals (Refer to Example 3.) The func-

Neporo4naja [7]

Answer:

$(a)\ V = \{(N,30),(R,37),(S,17)\}$

$(b)$

$Domain = \{N,R,S\}$

$Range = \{37,30,17\}$

Step-by-step explanation:

Given

$V(R) = 37,\ V(N) = 30,\ V(S) = 17$

Solving (a): Set of ordered pair

A function y = f(x) is represented as (x,y)

So, the ordered pair of V is:

$V = \{(R,37),(N,30),(S,17)\}$

Order the alphabets in increasing order

$V = \{(N,30),(R,37),(S,17)\}$

Solving (b): The domain and the range

In a function $\{(x_1,y_1),...,(x_n,y_n)\}$

The domain and the range are represented as:

$Domain = \{x_1,x_2....x_n\}$

$Range = \{y_1,y_2....y_n\}$

So, we have:

$Domain = \{N,R,S\}$

$Range = \{37,30,17\}$

5 0

3 years ago

Select the correct choice below and fill in the answer box(es) to complete your choice.

Tomtit [17]

Answer:

A.18.9285714286

B.18 remainder 39

Step-by-step explanation:

0 1 8

4 2 7 9 5

− 0

7 9

− 4 2

3 7 5

− 3 3 6

3 9

3 0

3 years ago

Can someone please help

salantis [7]

Answer:

acute

Step-by-step explanation:

4 0

3 years ago