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2 years ago

Which of the following is an even function?

Mathematics

1 answer:

12345 [234]2 years ago

6 0

Answer:

B. g(x) = 2x² + 1

Step-by-step explanation:

Even function has following property:

g(x) = g(-x)

It is easy to show this works with the second choice only. All the others don't work:

g(x) = (x - 1)² + 1
g(-x) = (-x - 1)² + 1

This is not correct as x - 1 ≠ -x - 1 so as their squares, so g(x) ≠ g(-x)

The last two choices are not even similarly.

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Bob is mailing packages. Each small package costs him $3.40 to send. Each large package costs him $5.10. How much will it cost h

Tatiana [17]

Answer:

$28.9

I hope this help also I would appreciate brainliest if possible :)

8 0

2 years ago

Identify the property used in the first five steps to solve the equation 2(x – 5) - 6x= -22

USPshnik [31]

To answer this question, you need to multiply the number inside the bracket first. Then you can move the number to the right side of the equal sign and keep the x on the left side of the equal sign. The step would be like this

2(x – 5) - 6x= -22
(2x - 10) - 6x = -22
2x - 6x = -22 +10
-4x= -12
x= -12/-4
x=3

4 0

2 years ago

.A variety of stores offer loyalty programs. Participating shoppers swipe a bar-coded tag at the register when checking out and

Leni [432]

Answer:

a) Null hypothesis: $\mu \leq 120$

Alternative hypothesis: $\mu > 120$

b) $t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236$

The degrees of freedom are given by:

$df = n-1 = 80-1=79$

The p value for this case taking in count the alternative hypothesis would be:

$p_v =P(t_{79}>2.236)=0.0141$

Step-by-step explanation:

Information given

$\bar X=130$ represent the sample mean for the amount spent each shopper

$s=40$ represent the sample standard deviation

$n=80$ sample size

$\mu_o =120$ represent the value to verify

t would represent the statistic

$p_v$ represent the p value f

Part a

We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:

Null hypothesis: $\mu \leq 120$

Alternative hypothesis: $\mu > 120$

The statistic for this case would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236$

The degrees of freedom are given by:

$df = n-1 = 80-1=79$

The p value for this case taking in count the alternative hypothesis would be:

$p_v =P(t_{79}>2.236)=0.0141$

5 0

3 years ago

Segments AB, EF, and CD intersect at point C, and angle ACD is a right angle. Find the

Dominik [7]

G=37

Angle ACD and angle DCB are a linear pair. Meaning they are supplementary.

ACD=90 degrees

180-90=90

90 degrees equals the angle of DCB.

90-53=37

So g=37

3 0

2 years ago

A TRAIN TRAVELING AT A CONSTANT RATE OF SPEED COVERS 360 KILOMETERS IN 6 HOURS WHAT IS THE SPEED OF THE TRAIN

FromTheMoon [43]

Answer:

60 km/hr

Step-by-step explanation:

Speed = distance / time

Speed = 360 km / 6 hr

Speed = 60 km/hr

5 0

2 years ago

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