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3 years ago

Which is the graph of the piecewise function f(x)? f(x)= {-x+1, x<0, x+1,x>0

Mathematics

2 answers:

Semenov [28]3 years ago

5 0

Answer:

The graph is attached.

Step-by-step explanation:

The first piece of the function, f(x) = -x+1, has a y-intercept of 1 and a slope of -1. This means it will be decreasing by 1 for every increase in x until it hits the y-intercept of 1.

The second piece of the function, f(x) = x+1, has a y-intercept of 1 and a slope of 1. This means it will start at the y-intercept of 1 and increase by 1 for every increase in x.

Setler [38]3 years ago

3 0

Hello,
Please, see the attached file.
Thanks.

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An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption for microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 250 W {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean power consumption for ovens = 257.3 W

σ = population standard deviation = 15 W

n = sample of microwave ovens = 20

So, the test statistics = $\frac{257.3-250}{\frac{15}{\sqrt{20} } }$

= 2.176

The value of z test statistics is 2.176.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0

3 years ago

can someone help me answer this correctly? Whoever get it right I will mark as a brainliest, thank u if u help me! :)

Anna71 [15]

Answer: 40 seconds. This is the equation graphed

7 0

3 years ago

ANSWER THIS PLEASE ASAP

Talja [164]

Answer: a.) 72 of each type of animal, for a total of 216

b.) 16 grown cats, 4 kittens

Step-by-step explanation:

part a. It's a distribution (division) problem. The same number of each animal is distributed over some unknown number of troughs, but the total number of troughs adds up to 69. ( I hate to give this all away, as its a brilliant problem! )

Number of troughs for each animal type is How many needed by the number of animals per trough:

h/2 + c/3 + p/8 = 69

Since we are given "the same number of horses, cows and pigs" we can substitute "x" for all.

$\frac{x}{2} + \frac{x}{3} +\frac{x}{8} = 69$ Get a common denominator. 24 would work, 48 also.

$48(\frac{x}{2} +\frac{x}{3} +\frac{x}{8} ) = 48(69)$

24x + 16x + 6x = 3372

46x = 3372 x = 72

Proof: calculate the number of each kind of trough

Horses 72/2 = 36, Cows 72/3 = 24 Pigs 72/8 = 9 36+24+9 = 69

part b. 5c + 3k = 92, c + k = 20 Rearrange to get a value for c to substitute.

c = 20-k 5(20-k) +3k =92 Distribute and solve

100 - 5k + 3k = 92 becomes -2k = -8 so k = 4 Substitute into the original

c + 4 = 20 becomes c=20-4, so c = 16

Proof: 5c +3k = 92 Substitute values 5(16) + 3(4) = 92 80 + 12 = 92

6 0

3 years ago

Triangle ABC is translated on the coordinate plane below to create triangle A'B'C'. . . . . If parallelogram EFGH is translated

lina2011 [118]

The ordered pair of point H is (1, -7). The correct answer between all the choices given is the third choice. I am hoping that this answer has satisfied your query about and it will be able to help you, and if you’d like, feel free to ask another question.

8 0

3 years ago

The equation C=2(3.14)r is the formula that relates the circumference of a circle to the radius. This gives us the ability to ca

DochEvi [55]

Hello from MrBillDoesMath!

Answer:

r = C/6.28

Discussion:

Note that C = 2 * Pi * r is the exact formula. As Pi is approximately 3.14, the given formula, C = 2 (3.14) r, is an approximation. Solving it for r:

C = 2(3.14) r => as 2 * 3.14 = 6.28

C = 6.28 r => divide both sides by 6.28

r ( 6.28/6.28) = C/6.28 => as 6.28/6.28 = 1

r = C/6.28

Thank you,

MrB

7 0

3 years ago