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4 years ago

what is the inequality that represents the range of the function g(x)=-3/4x^2 when the domain is restricted to -4

Mathematics

1 answer:

Rudiy274 years ago

3 0

Answer:

y is equal to or less then 0

Step-by-step explanation:

Plug in x=-4,0, and 4 to see what way this graph is pointing. When x=-4 is it 16*-3/4 (which is negetive). When x=0, y=0. and when x=4, y=16*-3/4 (Which is the same, and negetive, like -4). We see that after 0, the graph goes back to the negetives in the y axis, and before 0, it does the same. The graph tops out at 0 and never goes up, so y is equal to or less then 0.

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What is a difference of squares with a factor of (3x + 7) ?

Inga [223]

Answer:

9x² - 49

Step-by-step explanation:

A difference of squares factors in general as

a² - b² = (a + b)(a - b)

Given (3x + 7) with a = 3x and b = 7

Then the other factor is (3x - 7)

(3x + 7)(3x - 7)

= (3x)² - 7²

= 9x² - 49

7 0

3 years ago

Find the solution to the system of equations-2 + 2y = -4 3x + 3y = -18

AfilCa [17]

Answer:

$\boxed{x = -2~~and~~ y = -4}$

Step-by-step explanation:

-2x + 2y = -4 (times 3) -6x + 6y = -12

3x + 3y = -18 (times 2) 6x + 6y = -36

-6x + 6y = -12

6x + 6y = -36 +

12y = -48

$y = \frac{-48}{12}$

y = -4

Substitute the value of y to the one of equations

-2x + 2(-4) = -4

-2x - 8 = -4

-2x = -4 + 8

-2x = 4

$x = \frac{4}{-2}$

x = -2

4 0

3 years ago

Read 2 more answers

Michael is 17 years older than John. In 4 years, the sum of there ages will be 49. Find Michaels present age.

Crank

Answer:

Explanation:

Let John be x years old.

Michael is x+17 years old.

In four years time, the sum of their ages will be 49:

x+x+17+2(4)=49

2x=24

x=12

So Michael is 12+17=29 years old now.

7 0

3 years ago

At midnight what temperature is -6C. At midday the temperature is -9C. By how much did the temperature rise ?

Zielflug [23.3K]

Answer:

It didn’t go up, it went down 3 degrees

Step-by-step explanation:

It’s negative degrees so the less negative it is the higher it is.

6 0

3 years ago

Read 2 more answers

Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couple

yulyashka [42]

Answer:

the residual is 0.2032

Step-by-step explanation:

The regression line has been given as:

Y^ = 0.00753X-0.06759

The paired observation for X is (31, 0.369)

The value of X is the empathy score under subject 15 = 31

The value of the brain activity under subject 15 is 0.369

So we have y^ = 0.00753(31) - 0.06759

= 0.1658

Then the residual = y - y^

= 0.369 - 0.1658

= 0.2032

Therefore the residual is 0.2032

Please check the attachment for the table, it will aid you in understanding the solution

4 0

3 years ago