The function f(x)= -(x+5)(x+1) is down. What is the range of the function?

Answers

Answer 1

Answer:

Answer:

(-∞, 4)

Step-by-step explanation:

"The function f(x)= -(x+5)(x+1) is down" should be "The function f(x)= -(x+5)(x+1) has a parabolic graph that opens down."

Expanding f(x)= -(x+5)(x+1), we get f(x) = -[x^2 + 6x + 5] = -x^2 - 6x - 5.

Here the coefficients are a = -1, b = -6 and c = -5. Thus, the axis of symmetry is

-(-6)

x = ------------ = -3.

2(-1)

The maximum value of the function occurs when x = -3.

We must also find the actual max value.

It is f(-3) = -(-3)^2 - 6(-3) - 5, or 4.

The max value is 4. Thus, the range of this function is (-∞, 4)

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the area of a rectangular shaped living room was 240sq ft. The longest side of the room was 20ft.What is the lenth of the small side of the room

Answers

240ft^2=20ft*x
x=12ft
The length of smallest side will be 12ft.

Which of the statements below correctly compares the numbers 4⁄5 and 6⁄8.4⁄5 = 6⁄8

4⁄5 > 6⁄8

4⁄5 < 6⁄8

Answers

The third option is correct because when you simplify 6/8 it is 3/4 and 3/4 is definetly bigger than 4/5.

First you have to make the fractions have like denominators to efficiently compare these fractions. 5 and 8 have a common denominator of 40, so you have to multiply top and bottom by 8 for 4/5 and by 5 for 6/8.
4/5 * 8/8 = 32/40
6/8 * 5/5 = 30/40
This shows that 4/5 is greater than 6/8. 4/5 > 6/8

it is projected that the population of the United states in 2050 will be 419,854,000. write that number in expanded notation using exponents.

Answers

400,000,000 + 10,000,000 + 9,000,000 + 800,000 + 50,000 + 4,000

I am needing to know the answer to 3/7 of what number is 9?

Answers

In math, "of" almost always means "times".

So your question is: 3/7 times (the number) = 9

Multiply each side of that equation by 7 : 3 times (the number) = 63

Divide each side by 3 : The number = 21

The best thing to do is to find out what 1/7 is.
9/7= 1.28
1.28x3= 3.84
Therefore 3/7 of 9 is 3.84
Hope this helps :)

Over the summer, Jackie played video games 3 hours per day. When school began in the fall, she was only allowed to play video games for half an hour per day. What is the percent decrese? Round to the nearest percent.

Answers

I believe if I am correct it would be 60% because 30 min goes into 3 hours 6 times so let's say 6 hours is a hundred percent 30 min is like 10 percent so via it would be a 60 percent drop tell me if I am wrong please would like to know the right way for this problem

A spinner has 4 equal-sized sections. To win the game, the pointer must land on a purple section.

Answers

Answer: 1/4

Step-by-step explanation:

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