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3 years ago

Consider the functions. F(x)=(x+1)2-4 and g(x)=-4|x+1| which statement compares the range of the functions?

Mathematics

1 answer:

Andreyy893 years ago

3 0

Answer:

<h2> The fourth</h2>

Step-by-step explanation:

Vertex of f is (-1, -4) so its range is limited to y≥-4

|x+1| is always ≥0 therefore -|x+1| is always ≤0 {4 is insignificant to this - slope doesn't mean in range} so its range is limited to y≤0

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Please only answer if you can help!!

Masteriza [31]

Answer:

Shifted by 6 units left on the x-axis.

Step-by-step explanation:

Given function is,

f(x) = 5ˣ + 1

After transformation, this function becomes g(x) = $5^{(x+6)}+1$

Here, g(x) = f(x + 6)

By the rule of transformation,

Function 'f' has been shifted by 6 units left on the x-axis to form a new function 'g'.

8 0

3 years ago

The sum of the four angles in a rectangle is always 180 degrees true or false?

dem82 [27]

A rectangle has 4 sides
each side is a right angle
a right angle by definition is 90 degrees
$90 + 90 + 90 + 90 = 360\\ or\\ 90 * 4 = 360$
False

7 0

3 years ago

Read 2 more answers

The equation 6y = 30 - 8x has solutions of (b, 1) and (a, b).<br> What are the values of a and b?

victus00 [196]

The values of $a$ and $b$ are $a = \frac{3}{2}$ and $b = 3$ , respectively.

In this question we need to solve the linear equation for each point, first for $(x,y) = (b, 1)$ and later for $(x,y) = (a, b)$ .

If we know that $(x,y) = (b, 1)$ , then the value of $b$ is:

$6 = 30-8\cdot b$

$8\cdot b = 24$

$b = 3$

If we know that $(x,y) = (a, b)$ and $b = 3$ , then the value of $a$ is:

$6\cdot b = 30 - 8\cdot a$

$18 = 30-8\cdot a$

$12 = 8\cdot a$

$a = \frac{3}{2}$

The values of $a$ and $b$ are $a = \frac{3}{2}$ and $b = 3$ , respectively.

To learn more on linear functions, we kindly invite to check this question: brainly.com/question/5101300

6 0

2 years ago

Which ordered pair is the solution to the system?

Novosadov [1.4K]

Answer:

C. (4,-7)

Step-by-step explanation:

To answer this question, I just graphed the two equations. Then I found where they intersected.

6 0

3 years ago

I need your help thank you

MA_775_DIABLO [31]

Answer:

I think the answer is D because it doesn't show that the bottom lengths are the same.

Step-by-step explanation:

5 0

3 years ago