All categories

3 years ago

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

4 0

Answer:

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

Step-by-step explanation:

For any value of x g(x) is always greater than h(x) and for any value of x, h(x) will always be greater than g(x) are not true.

The given function is:

g(x) = x^2 and h(x) = –x^2

x=0

g(0)=(0)^2 = 0

h(0)= -(0)^2 = 0

Now check the condition for x = -1

put x =-1 in the given functions.

g(x)=x^2

g(-1) = (-1)^2 = 1

h(x)= -x^2

h(-1) = -(-1)^2 = -1

g(x)>h(x)

Now take a positive value of x= 3

Put the value in the given functions:

g(3) = (3)^2 = 9

h(3) = -(3)^2 = -9

g(x)>h(x)

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x)....

fomenos3 years ago

4 0

Answer:

Simplified Answer: C & F

Step-by-step explanation:

You might be interested in

In a recipe for pizza sauce, the ratio of cans of tomatoes to teaspoons of oregano is 1:6. How many teaspoons of oregano do you

irina1246 [14]

Answer:

48 teaspoons of Oregano

Step-by-step explanation:

Ratio is given as:

Cans of tomatoes : Teaspoons of Oregano

1 : 6

Hence:

1 can of tomatoes = 6 teaspoons of Oregano

8 can of tomatoes = x teaspoons

Cross Multiply

x = 8 × 6 teaspoons

x = 48 teaspoons of Oregano

3 0

3 years ago

Simplify:$$\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}$$

bagirrra123 [75]

Answer:

$5\sqrt{3}$

Step-by-step explanation:

$\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}=?\\\\1)\sqrt{8^2+15^2}=\sqrt{289}=17\\2)\sqrt{9^2+40^2}=\sqrt{1681}=41\\3)2\times17=34\\4)\sqrt{34+41}=5\sqrt{3}$

All Done!

8 0

3 years ago

Read 2 more answers

How much of the garage foot is white

Ket [755]

All you do is multiply 15 and 6 you get 90. then divide 90 by 9 and you get 10.

4 0

3 years ago

Countering a cost $9.40 per sales tax. After sales tax, it cost $9.87. What is the sales tax rate?

Nady [450]

STEP 1:
find the sales tax (decimal form)

x= sales tax

Cost + (Cost * Sales Tax)= Total
plug in known numbers

$9.40 + ($9.40 * x)= $9.87

9.40 + 9.40x= 9.87
subtract 9.40 from both sides

9.40x= 0.47
divide both sides by 9.40

x= 0.47/9.40

x= 0.05 sales tax decimal form

STEP 2:
find sales tax percentage

= 0.05 * 100
or move decimal to the right two decimal places

= 5% sales tax percent form

ANSWER: The sales tax is 5% (or 0.05 in decimal form)

Hope this helps! :)

6 0

3 years ago

Read 2 more answers

Can you please help me?

yan [13]

Answer:

-3, -4, -4, 0, 16, 64, 192.

Step-by-step explanation:

I don't know for sure if this is correct, but when i did it theses are the answers i got. You do y=8*2^x. Meaning you substitute the x for the x values such as -3, -2, and -1.

Also if you have one there's a setting you can go to on an actual calculator and type in this on a Y/X chart. I didn't use one this time because i don't have one, but thought you'd find that information useful.

6 0

3 years ago