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3 years ago

Four times a number +3 is the same as 5+ the number

Mathematics

2 answers:

solmaris [256]3 years ago

6 0

Four times a number +3 is the same as 5+ the number

Now writing in numerical form

4x + 3 = 5 + x

yarga [219]3 years ago

4 0

x=2/3

4x+3=5+x

4(2/3)+3=5+2/3

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Write an equivalent expression of 16x - 24

telo118 [61]

Answer:

2x-3

Step-by-step explanation:

16/8=2

24/8=3

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3 years ago

In 3 seconds an ostrich can run 63 meters. How fast can it run in 5 seconds.

Sati [7]

What u can do is do 3/63=5/x. so u have to get x all by itself.

3/63=5/x
cross multiply
63×5 and 3×x
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ANSWER:105

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3 years ago

A store sells grass seed in small bags and large bags. The small bags have 7 pounds of seed for $27.93 and the large bags have 2

Arada [10]

Answer:

The 20 pound bag is a better by for only $66.98

Step-by-step explanation:

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hope this makes sense;)

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3 years ago

Mrs.Jacinto asked carpenter to construct a rectangular bulletin board for her classroom. She told the Carpenter that the board's

Misha Larkins [42]

Answer:

6 ft by 3 ft

Step-by-step explanation:

3 0

3 years ago

The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati

Alecsey [184]

Answer:

The function is $P(x) = \frac{1}{2} e^{-x^2} +0.016$

Step-by-step explanation:

From the question we are told that

The rate of growth is $P'(x) = xe^{x} - x^2$

The total profit is $P(2) =$ $25,000

The time taken to make the profit is $x = 2 \ years$

From the question

$P'(x) = xe^{-x^2}$ is the rate of growth

Now here x represent the time taken

Now the total profit is mathematically represented as

$P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,$

So using substitution method

We have that

$u = - x^2$

$du = 2xdx$

$p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du$

$p(x) = {\frac{1}{2} [ e^{-u}} +c ]$

$p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c$ recall $u = - x^2$ and let $\frac{1}{2} c = Z$

At x = 2 years

$P(x) =$ $25,000

Since the profit rate is in million

$P(x) =$ $25,000 = $\frac{25000}{1000000} =$ $0.025 millon dollars

$0.025 = {\frac{1}{2} e^{-2^2}} + Z$

=> $Z = 0.025 - {\frac{1}{2} e^{-2^2}}$

$Z = 0.016$

So the profit function becomes

$P(x) = \frac{1}{2} e^{-x^2} +0.016$

5 0

3 years ago