It cost 25 to rent a car each day a 0.95m per mile

Simplify:<br> (4p3 + 6p2 – 7) – (8p? – 7 – 3p)

Kipish [7]

Answer:

4p3 + 6p2 - 8p - 7

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2" was replaced by "p^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

(((4 • (p3)) + (2•3p2)) - 7) - 8p

STEP

2

:

Equation at the end of step

2

:

((22p3 + (2•3p2)) - 7) - 8p

STEP

3

:

Checking for a perfect cube

3.1 4p3+6p2-8p-7 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 4p3+6p2-8p-7

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -8p-7

Group 2: 4p3+6p2

Pull out from each group separately :

Group 1: (8p+7) • (-1)

Group 2: (2p+3) • (2p2)

3.3 Find roots (zeroes) of : F(p) = 4p3+6p2-8p-7

Polynomial Roots Calculator is a set of methods aimed at finding values of p for which F(p)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers p which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 4 and the Trailing Constant is -7.

The factor(s) are:

of the Leading Coefficient : 1,2 ,4

of the Trailing Constant : 1 ,7

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 3.00

-1 2 -0.50 -2.00

-1 4 -0.25 -4.69

-7 1 -7.00 -1029.00

-7 2 -3.50 -77.00

-7 4 -1.75 3.94

1 1 1.00 -5.00

1 2 0.50 -9.00

1 4 0.25 -8.56

7 1 7.00 1603.00

7 2 3.50 210.00

7 4 1.75 18.81

Final result :

4p3 + 6p2 - 8p - 7

5 0

3 years ago

] It is claimed that 42% of US college graduates had a mentor in college. For a sample of college graduates in Colorado, it was

Bad White [126]

Answer:

$z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930$

The p value for this case would be given by:

$p_v =P(z>3.930)=0.0000443$

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

Step-by-step explanation:

Information given

n=1045 represent the random sample selected

X=502 represent the college graduates with a mentor

$\hat p=\frac{502}{1045}=0.480$ estimated proportion of college graduates with a mentor

$p_o=0.42$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:

Null hypothesis: $p \leq 0.42$

Alternative hypothesis: $p > 0.42$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info we got:

$z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930$

The p value for this case would be given by:

$p_v =P(z>3.930)=0.0000443$

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

7 0

3 years ago

Whats another way to write 8/5 as a fraction ?

sashaice [31]

16/10

All you have to do to get another way to write a fraction is double the original fraction.

For example...

1/2 = 2/4 = 4/8 = 8/16...
All these are half, 8/16 is the same as 1/2.

Hope this helped. Have a great night!

3 0

4 years ago

Read 2 more answers

who else learned how to do word problems and different math problems really good and then just forgot them & now ur sad cuz

Brilliant_brown [7]

Answer:

yuh

Step-by-step explanation:

add me on rbIx and follow me IMAO : ivxvxi

7 0

3 years ago

I turn 40 degrees clockwise, 70 degrees anticlockwise and

rosijanka [135]

Answer:

Anticlockwise 60°

Step-by-step explanation:

Let my starting point be 0°

Turning to the right(clockwise)40° = 0° + 40° = 40°

I am now at 40° to the right of my starting point.

Turning to the left(anticlockwise) 70° = 40° - 70° = -30°

I am now 30° to the left of my starting point.

Turning to the right 90° = -30° + 90° = 60°

I am 60° to the right of my starting point.

To go back to the startoing point(0°), I should go to the left(anticlockwise) by 60°

This is a change of -60°

-Chetan K

7 0

2 years ago