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2 years ago

Twice the difference of a number and three is negative two. Find the number

Mathematics

1 answer:

lianna [129]2 years ago

8 0

<h3>Answer:</h3>

$x=2$

<h3>Explanation:</h3>

Represent the sentence mathematically. $2(x-3)=-2$

Distribute. $2x+(2*-3)=2x-6=-2$

Add 6 on both sides. $2x=-2+6=4$

Divide both sides by 2. $x=2$

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The value of y varies jointly with x and z. If y = 7 when z = 196 and x = 2, find the value of y when x = 3 and z = 336. I will

eimsori [14]

Answer:

Step-by-step explanation:

Given that:

y∞ xz

y=kxz. Where k is constant

When z=196 and x= 2 then y= 7

7=(196)(2)k

7=392k

k=1/56

There fore y=(1/56)xz

When x=3 and z =336

y=(1/56)xz

y=(1/56)(336)(3)

y=18

8 0

3 years ago

(3xy^3)^2 (xy)^6 simplify the expression

solong [7]

9x8y12 it a lot of work to do so I don't want to type how to do the problem

5 0

3 years ago

Mario ran 24 miles in 3 hours. what was his average speed in miles per hour

kumpel [21]

Answer:

8 miles per hour (mph)

Step-by-step explanation:

24/3 = 8

Check:

8mph x 3 hours = 24 miles

8 0

2 years ago

Read 2 more answers

Find the missing Side of the triangle

sammy [17]

Answer:

2√15

Step-by-step explanation:

Use the Pythagorean theorem.

2² + x² = 8²

x² + 4 = 64

x² = 60

x² = 4 * 15

x = 2√15

3 0

2 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