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3 years ago

The graph of the equation y = 3x − 4 is shown. What statement is true about every point on the graph?

Mathematics

1 answer:

SpyIntel [72]3 years ago

3 0

Answer:

Slope is 3

Y- intercept is -4

Doesn't pass through zero.

Linear

Give me options and I can give a better answer :)

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The cost of a pizza with the works" is represented as a function of its

Nina [5.8K]

Answer:

diameter of the pizza = 21.88 centimeters

Step-by-step explanation:

Given:

C = d^2 – 2d + 447

where

C = cost of the pizza

d = diameter of the pizza

If the pizza costs $12.00, then what is a reasonable estimate for the diameter of the pizza?

12 = d^2 – 2d + 447

d^2 - 2d = 447 - 12

d^2 - 2d = 435

d^2 - 2d - 435 = 0

Solve the quadratic equation using formula

a = 1

b = -2

c = -435

d = -b +or- √b^2 - 4ac / 2a

= -(-2) +or- √(-2)^2 - (4)(1)(-435) / 2(1)

= 2 +or- √4 - (-1740) / 2

= 2 +or- √4 + 1740 / 2

= 2 +or- √1744 / 2

= 2 +or- 4√109 / 2

= 2/2 +or- 4√109/2

= 1 +or- 2√109

d = 1 + 2√109 or d = 1 - 2√109

= 1 + 2(10.44) or d = 1 - 2(10.44)

= 1 + 20.88 or d = 1 - 20.88

d = 21.88 or -19.88

diameter of the pizza = 21.88 centimeters

Therefore, the estimated diameter of the pizza can not be negative. So, diameter of the pizza = 21.88 cm

7 0

3 years ago

Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon

leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = proportion of households that have three cell phones NOT known.

So, Null Hypothesis, $H_0$ : p = 30% {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, $H_A$ : p $\neq$ 30% {means that the actual percentage of households different from 30%}

The test statistics that would be used here One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of households having three cell phones = $\frac{43}{150}$ = 0.29

n = sample of households = 150

So, the test statistics = $\frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }$

= -0.27

The value of z test statistic is -0.27.

Also, P-value of the test statistics is given by;

P-value = P(Z < -0.27) = 1 - P(Z $\leq$ 0.27)

= 1 - 0.6064 = 0.3936

Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the actual percentage of households is equal to 30%.

4 0

3 years ago

Use limits to find the area of the region bounded by the graph f(x)=4-2x^3 , the x-axis , and the vertical lines x=0 and x=1

gtnhenbr [62]

Answer:

$\frac{7}{2}$ square units.

Step-by-step explanation:

We have to use limits to find the area of the region bounded by the graph $f(x) = 4 - 2x^{3}$ , the x-axis, and the vertical lines x=0 and x=1.