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Effectus [21]
3 years ago
14

P(x)=2x^3-11x^2+ax-40 if x+4 is a factor of this polynomial what is the value of a

Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0

Answer:

a = -86.

Step-by-step explanation:

By the Factor Theorem, if x + 4 is a factor then P(-4) = 0, so:

P(-4) = 2(-4)^3 - 11(-4)^2 + a(-4)- 40 = 0

-128 - 176 - 4a - 40 = 0

-4a = 128 +176 + 40

-4a = 344

a = -86.

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What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linea
Triss [41]

Answer:

D. "If the graph of two variables is not a linear function, then the two variables are not directly proportional"

Step-by-step explanation:

The contrapositive of a statement is basically you changing the conditional part of the statement with its result and then finding the negative of both. This is called Contraposition.

So, for the statement given:

"If two variables are directly proportional, then their graph is a linear function."

The contrapositive will be:

"If the graph of two variables is not a linear function, then the two variables are not directly proportional"

7 0
3 years ago
A large manufacturing firm tests job applicants who recently graduated from college. The test scores are normally distributed wi
anzhelika [568]

Answer:

lowest score a college graduate must earn to qualify for a responsible position is 578

correct option is D. 578

Step-by-step explanation:

given data

mean = 500

standard deviation = 50

distribution = 6 %

to find out

What is the lowest score a college graduate must earn to qualify for a responsible position

solution

we know that here Probability P that is express as

P ( Z > x ) = 100% - 6%      .....................1

so with the help of normal table

here value of Z is =  1.55 from cumulative probability 0.94

so by z score formula here x will be

x = z × standard deviation +  mean    ................2

so put here value

x = 1.55 × 50 + 500

x = 577.7387 ~ 578

so lowest score a college graduate must earn to qualify for a responsible position is 578

8 0
3 years ago
A laundry basket contains 8 white t-shirts and 6 black t-shirts. What is the probability of randomly picking a black t-shirt fro
MissTica

Answer:

30/182 = 15/91.

Step-by-step explanation:

<u>PROBABILITY:</u> the likelihood of an event.

There are a total of 14 shirts in the basket.

Of the 14, 8 (8/14) of them are white, and 6 (6/14) of them are black.

The probability of picking a black shirt is 6 in 14, or 6/14.

The probability of picking a white shirt is 8 in 14, or 8/14.

<u>WITHOUT REPLACING:</u> This means that you take one without putting it back. (There will be one less).

6/14 × 5/13 = 30/182.

30/182 = 15/91.

8 0
3 years ago
Please provide the working outs as well as the answer. Many thanks
lana [24]
\dfrac{3w-5}{2}=w-3\ \ \ |multiply\ both\ sides\ by\ 2\\\\\not2^1\cdot\dfrac{3w-5}{\not2_1}=2\cdot w-2\cdot3\\\\3w-5=2w-6\ \ \ |add\ 5\ to\ both\ sides\\\\3w-5+5=2w-6+5\\\\3w=2w-1\ \ \ \ |subtract\ 2w\ from\ both\ sides\\\\3w-2w=2w-2w-1\\\\\boxed{w=-1}

4 0
3 years ago
The speed of light is about 1.86 x 10^5 miles per second. About how many far does light travel in 68 seconds?
Mkey [24]

Answer:

12,667,203 miles

Step-by-step explanation:

3 0
2 years ago
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