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2 years ago

1. If f(x) = 6x + 13x + 2x - 5 and f(-1) = 0, find thefactors of f(x)

Mathematics

1 answer:

Zepler [3.9K]2 years ago

4 0

Answer:

-26

Step-by-step explanation:

Insert the f(-1) into the equation.
It'll be f(-1) = 6(-1) + 13(-1) + 2(-1) - 5
After you times all of it. You'll get 7-13-2-5
Solve it and you'll get -26

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Two numbers have a difference of 17 and a sum of 23 which system of equations can be used to determine x and y the two numbers?

olga nikolaevna [1]

Answer:

Step-by-step explanation:

5 0

2 years ago

A 1/17th scale model of a new hybrid car is tested in a wind tunnel at the same Reynolds number as that of the full-scale protot

Olegator [25]

Answer:

The ratio of the drag coefficients $\dfrac{F_m}{F_p}$ is approximately 0.0002

Step-by-step explanation:

The given Reynolds number of the model = The Reynolds number of the prototype

The drag coefficient of the model, $c_{m}$ = The drag coefficient of the prototype, $c_{p}$

The medium of the test for the model, $\rho_m$ = The medium of the test for the prototype, $\rho_p$

The drag force is given as follows;

$F_D = C_D \times A \times \dfrac{\rho \cdot V^2}{2}$

We have;

$L_p = \dfrac{\rho _p}{\rho _m} \times \left(\dfrac{V_p}{V_m} \right)^2 \times \left(\dfrac{c_p}{c_m} \right)^2 \times L_m$

Therefore;

$\dfrac{L_p}{L_m} = \dfrac{\rho _p}{\rho _m} \times \left(\dfrac{V_p}{V_m} \right)^2 \times \left(\dfrac{c_p}{c_m} \right)^2$

$\dfrac{L_p}{L_m} =\dfrac{17}{1}$

$\therefore \dfrac{L_p}{L_m} = \dfrac{17}{1} =\dfrac{\rho _p}{\rho _p} \times \left(\dfrac{V_p}{V_m} \right)^2 \times \left(\dfrac{c_p}{c_p} \right)^2 = \left(\dfrac{V_p}{V_m} \right)^2$

$\dfrac{17}{1} = \left(\dfrac{V_p}{V_m} \right)^2$

$\dfrac{F_p}{F_m} = \dfrac{c_p \times A_p \times \dfrac{\rho_p \cdot V_p^2}{2}}{c_m \times A_m \times \dfrac{\rho_m \cdot V_m^2}{2}} = \dfrac{A_p}{A_m} \times \dfrac{V_p^2}{V_m^2}$

$\dfrac{A_m}{A_p} = \left( \dfrac{1}{17} \right)^2$

$\dfrac{F_p}{F_m} = \dfrac{A_p}{A_m} \times \dfrac{V_p^2}{V_m^2}= \left (\dfrac{17}{1} \right)^2 \times \left( \left\dfrac{17}{1} \right) = 17^3$

$\dfrac{F_m}{F_p} = \left( \left\dfrac{1}{17} \right)^3$ = (1/17)^3 ≈ 0.0002

The ratio of the drag coefficients $\dfrac{F_m}{F_p}$ ≈ 0.0002.

5 0

2 years ago

What is the probability that the first card is a kingking and the second card is a kingking if the sampling is done with replac

IRINA_888 [86]

You want to draw 2 kings from a 52 card deck. And you do it with replacement.
There are 4 kings in a standard deck. The probability of getting one of them is
4/52 on the first draw.

For the second draw the probability is the same.
4/52

The probability for both happening is
(4/52)*(4/52) = (1/13)*(1/13) = 1/169 = 0.001597

5 0

3 years ago

30 points please..I will report your answer if not right Thanks

ella [17]

<h3>Answer: SAS</h3>

=================================

How to get this answer:

We're told that AD = BC, so that is one pair of sides that are congruent. This forms the first "S" in "SAS"

The "A" refers to the congruent angles, which happen to be angle DAB and angle CBA, both are 90 degrees

The second "S" in "SAS" is the second pair of congruent sides. Those two sides are the overlapping shared side of AB. It might help to peel the two triangles apart to get a better look.

Note how the angles are between the two pairs of sides mentioned.

4 0

3 years ago

What is the difference between independent and conditional probability? Which one requires the use of the Addition Rule? Explain

ch4aika [34]

Answer:

Conditional probability is probability of a second event given a first event has already occurred.

Step-by-step explanation:

6 0

2 years ago

1. If f(x) = 6x + 13x + 2x - 5 and f(-1) = 0, find thefactors of f(x)​

1. If f(x) = 6x + 13x + 2x - 5 and f(-1) = 0, find thefactors of f(x)