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3 years ago

25 POINTS Trina's Toy Company charges $0.85 per pound to ship toys.

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

3 0

Answer:

Part A

C = $.85p

For 2 pounds , the charge is $1.70

Part B

C = $.05 * p

Step-by-step explanation:

Part A

Cost = charge per pound * pounds

We know the charge per pound is $.85

C = $.85 * p

We want to ship 2 pounds

C = .85*2

C = 1.70

Part B

Cost = charge per pound * pounds

We know the charge per pound is now $.05

C = $.05 * p

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Plz help!

beks73 [17]

First, you need to find the derivative of this function. This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.

f'(x)=3x^2-3

Now, set this function equal to 0 to find x-values of the relative max and min.

0=3x^2-3

0=3(x^2-1)

0=3(x+1)(x-1)

x=-1, 1

To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each. We will use -2, 0, 2.

f'(-2)=3(-2)^2-3=3(4)-3=12-3=9

f'(0)=3(0)^2-3=3(0)-3=0-3=-3

f'(2)=3(2)^2=3(4)-3=12-3=9

We examine the sign changes to determine whether it is a max or a min. If the sign goes from + to -, then it is a maximum. If it goes from - to +, it is a minimum. Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.

To determine the values of the relative max and min, plug in the x-values to f(x).

f(-1)=(-1)^3-3(-1)+1=-1+3+1=3

f(1)=(1)^3-3(1)+1=1-3+1=-1

Hope this helps!!

7 0

4 years ago

A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?

Rus_ich [418]

Answer:

$y=\frac{-1}{3}x-4$

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Define

Point (9, -7)

Point (-6, -2)

Step 2: Find slope m

$m=\frac{-2-(-7)}{-6-9}$

$m=\frac{-2+7}{-15}$

$m=\frac{5}{-15}$

$m=\frac{-1}{3}$

$y=\frac{-1}{3}x+b$

Step 3: Find y-intercept b

$-7=\frac{-1}{3}(9)+b$

$-7=-3+b$

$-4=b$

Step 4: Write linear equation in slope-intercept form

$y=\frac{-1}{3}x-4$

8 0

3 years ago

Divide 3.5 × 108 by 6.6 × 104 and write the answer in scientific notation.

vagabundo [1.1K]

(3.5×10^(8))÷(6.6×10^(4))
=5,303.0303030303

answer : b

4 0

3 years ago

The Westbrook Pharmaceutical Company manufactures atorvastatin pills, designed to lower cholesterol levels. Listed below are the

Sloan [31]

Solution :

Given :

$\mu = 24$

n = 15

$\overline x = 24.89$

s = 0.5902

The hypothesis :

$H_0 : \mu = 25$

$H_a : \mu \neq 25$

This is a 2 tailed test.

The significance level is $95 \% \ ( \alpha =0.05)$

The test statistic :

$Z=\frac{\overline x - \mu}{\frac{\sigma}{\sqrt n}}$

$Z=\frac{24.89-25}{\frac{0.5902}{\sqrt 15}}$

= -0.72

The p value : The p value for Z = -0.72 is 0.4716

The critical value : the critical value at α = 0.05 is +1.96 to -1.96

The decision rule :

If $Z_{observed} > Z_{critical}$ or if $Z_{observed} < -Z_{critical}$ , then reject $H_0$ .

Also if p value is less than α, then reject $H_0$ .

The decision :

Since the Z falls in between +1.96 and -1.96, we fail to reject the $H_0$ . Also since p value is greater than α, we fail to reject $H_0$ .

The conclusion :

There is not sufficient evidence at the 95% significance level to warrant rejection of the claim that the pills come from a population in which the amount of the atorvastatin is equal to 25 mg.

Now calculating the mean and the standard deviation :

$\text{Mean} = \frac{\text{sum of observation}}{\text{total observations}}$