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3 years ago

If f(x) = 4x + 3(x – 7), what is f(2x)? Simplify your answer.

Mathematics

1 answer:

Hitman42 [59]3 years ago

4 0

Answer: -7 is the answer

Step-by-step explanation:

4(2)+3(2-7)

2-7 is -5

-5 times 3 is -15

4 times 2 is 8

-15+8=-7

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Brainiest if correct or first<br> 3.75 as a mixed number

Sergio039 [100]

Answer:

It would be 3 75/100 as a mixed number. In lowest terms, it would be 3 3/4.

Hope this helps. :)

8 0

3 years ago

At a specific point on a highway, vehicles arrive according to a Poisson process. Vehicles are counted in 12 second intervals, a

morpeh [17]

Answer: a) 4.6798, and b) 19.8%.

Step-by-step explanation:

Since we have given that

P(n) = $\dfrac{15}{120}=0.125$

As we know the poisson process, we get that

$P(n)=\dfrac{(\lambda t)^n\times e^{-\lambda t}}{n!}\\\\P(n=0)=0.125=\dfrac{(\lambda \times 14)^0\times e^{-14\lambda}}{0!}\\\\0.125=e^{-14\lambda}\\\\\ln 0.125=-14\lambda\\\\-2.079=-14\lambda\\\\\lambda=\dfrac{2.079}{14}\\\\0.1485=\lambda$

So, for exactly one car would be

P(n=1) is given by

$=\dfrac{(0.1485\times 14)^1\times e^{-0.1485\times 14}}{1!}\\\\=0.2599$

Hence, our required probability is 0.2599.

a. Approximate the number of these intervals in which exactly one car arrives

Number of these intervals in which exactly one car arrives is given by

$0.2599\times 18=4.6798$

We will find the traffic flow q such that

$P(0)=e^{\frac{-qt}{3600}}\\\\0.125=e^{\frac{-18q}{3600}}\\\\0.125=e^{-0.005q}\\\\\ln 0.125=-0.005q\\\\-2.079=-0.005q\\\\q=\dfrac{-2.079}{-0.005}=415.88\ veh/hr$

b. Estimate the percentage of time headways that will be 14 seconds or greater.

so, it becomes,

$P(h\geq 14)=e^{\frac{-qt}{3600}}\\\\P(h\geq 14)=e^{\frac{-415.88\times 14}{3600}}\\\\P(h\geq 14)=0.198\\\\P(h\geq 14)=19.8\%$

Hence, a) 4.6798, and b) 19.8%.

7 0

3 years ago

Triangle m is similar to triangle n. Triangle m has two angles with measures of 32°and 93°. Which two angles measures could be i

inysia [295]

Given that triangle m and n are similar, then the implication is the ratio of the corresponding sides are the same and the corresponding angles are equal. This implies that if the two angles of triangle m measure 32° and 93°, then the possible size for the two angles in triangle n will be 32° and 93°.

6 0

3 years ago

Determine if the following system of equations has no solutions, infinitely many

Lesechka [4]

Step-by-step explanation:

5x+6=1

5x=1-6

5x=-5

x=-1 in -5x-8y=2

-5(-1)-8y=2

5-8y=2

-8y =2-5

-8y=-3

7 0

3 years ago

Suppose you deposited $100 in a savings account 3 years ago. The simple interest rate is 3.2 %. The interest that you earned in

astraxan [27]

It's not compounded interest, you just get $3.20 every year.
$100 * 0.032 = $3.20
$3.20 * 3 years = $9.60

7 0

3 years ago