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melisa1 [442]
3 years ago
10

Please help me if you know how to do this!

Mathematics
1 answer:
lukranit [14]3 years ago
5 0

Question 21

Let's complete the square

y = 3x^2 + 6x + 5

y-5 = 3x^2 + 6x

y - 5 = 3(x^2 + 2x)

y - 5 = 3(x^2 + 2x + 1 - 1)

y - 5 = 3(x^2+2x+1) - 3

y - 5 = 3(x+1)^2 - 3

y = 3(x+1)^2 - 3 + 5

y = 3(x+1)^2 + 2

Answer: Choice D

============================================

Question 22

Through trial and error you should find that choice D is the answer

Basically you plug in each of the given answer choices and see which results in a true statement.

For instance, with choice A we have

y < -4(x+1)^2 - 3

-7 < -4(0+1)^2 - 3

-7 < -7

which is false, so we eliminate choice A

Choice D is the answer because

y < -4(x+1)^2 - 3

-9 < -4(-2+1)^2 - 3

-9 < -7

which is true since -9 is to the left of -7 on the number line.

============================================

Question 25

Answer: Choice B

Explanation:

The quantity (x-4)^2 is always positive regardless of what you pick for x. This is because we are squaring the (x-4). Squaring a negative leads to a positive. Eg: (-4)^2 = 16

Adding on a positive to (x-4)^2 makes the result even more positive. Therefore (x-4)^2 + 1 > 0 is true for any real number x.

Visually this means all solutions of y > (x-4)^2 + 1 reside in quadrants 1 and 2, which are above the x axis.

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I need it now plz btw i am in middle school
Svet_ta [14]

Answer:

A)2x+7=38

2x=38-7

2x=31

x=31/2

x=15.5

B)3x-8=52

3x=52+8

3x=60

x=60/3

x=20

C)34%of 68

34/100×68

0.34×68

=23.12

7 0
2 years ago
Help me please and thanks
Arturiano [62]

This is the answer its easy just simplify the inequality

3 0
3 years ago
Help me with my review please
Marianna [84]

Answer:

I believe it is AAS but I'm not 100%  so if I'm wrong I would like to apologies ahead of time.

I hope this is good enough:

4 0
2 years ago
What is the range of the function y=cot(x)?
dimulka [17.4K]

Answer:

(−∞,+∞)

Step-by-step explanation:

The cotangent function can take up any values depending on the value of

x

, the independent variable.

And thus, the range

(

−

∞

,

+

∞

)

is justified.

The domain is all real numbers other than integral multiples of

π

where, the function is not defined.

5 0
3 years ago
Read 2 more answers
Given the definitions of f(x) and g(x) below, find the value of f(g(0)).
spayn [35]

Answer:

f(g(0)) = 45

Step-by-step explanation:

to evaluate f(g(0)) , evaluate g(0) then substitute the value obtained into f(x)

g(0) = - 3(0) - 3 = 0 - 3 = - 3 , then

f(- 3) = 2(- 3)² - 5(- 3) + 12

       = 2(9) + 15 + 12

       = 18 + 27

      = 45

3 0
1 year ago
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