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3 years ago

Please help asap 25 pts

Mathematics

2 answers:

avanturin [10]3 years ago

4 0

$2-3(x+4)=8\qquad|\text{use distributive property}\\\\2+(-3)(x)+(-3)(4)=8\\\\2-3x-12=8\\\\-3x+(2-12)=8\\\\-3x-10=8\qquad|\text{add 10 to both sides}\\\\-3x=18\qquad|\text{divide both sides by (-3)}\\\\\boxed{x=-6}}\to\boxed{a.}$

anygoal [31]3 years ago

4 0

All you have to do is simplify the equation, then isolate x to find its value:

2 - 3 ( x + 4 ) = 8

- 3 ( x + 4 ) + 2 = 8

- ( 3x + 12 ) = 2 = 8

-3x - 12 + 2 = 8

-3x - 10 = 8

-3x = 18

x = $\frac{18}{-3}$

x = -6

The answer is A= -6

Hope that helps!

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If cot ø= 1.5, find tan ø.

postnew [5]

Tan(ø) is 2/3
Cot is the inverse of Tan.
1.5 is technically 3/2
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4 years ago

What is the following product

Genrish500 [490]

For this case we must find the product of the following expression:

$\sqrt [3] {5} * \sqrt {2}$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

We rewrite the expression using the lowest common index of 6, then:

$5 ^ {\frac {1} {3}} * 2 ^ {\frac {1} {2}} =$

We rewrite the terms in an equivalent way:

$5 ^ {\frac {2} {6}} * 2 ^ {\frac {3} {6}} =$

We rewrite the expression using the property mentioned:

$\sqrt [6] {5 ^ 2} * \sqrt [6] {2 ^ 3} =$

We combine using the product rule for radicals:

$\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}$

So:

$\sqrt [6] {5 ^ 2 * 2 ^ 3} =\\\sqrt [6] {25 * 8} =\\\sqrt[6]{200}$

ANswer:

Option b

4 0

3 years ago

The amount dispensed by a soft-drink dispensing machine has a normal distribution with mean μ and standard deviation 0.191 ounce

nirvana33 [79]

Answer:

The value of mean is $\mu = 15.64$

Step-by-step explanation:

The normal distribution of the soft-drink dispensing machine can be stated statistically like

$X$ ~ $N (\mu ,0.191^2)$

The standard form representation is

$P(X$

Now we need to obtain $\mu$ in such a way that

$P(X>16) = 0.01$

In standard form

Since

$P(Z>16 -\frac{\mu}{0.191} ) = 0.03$

This means

$P(Z$

Now looking at the z-table for probability of 0.99 we obtain 1.88

i.e

$16 - \frac{\mu}{0.191} = 1.88$

Making $\mu\ the \ subject$

$16 - \mu = 1.88 *0.191$

$\mu = 16 -(1.88*0.191)$

$=15.64$

8 0

3 years ago

What is the image of -1 - 5 after a dilation by a scale factor of 5 centered at the origin

amm1812

the Given data

*The given point is (-1, -5)

*The given scale factor is 5

The image of -1 - 5 after dilation by a scale factor of 5 centered at the origin is given as

$(-1,-5)=(-1\times5,-5\times5)=(-5,-25)$

Thus, the image after dilation by a scale factor of 5 centered at origin is (-5, -25)

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2 years ago

11 sq root 45-4 sq root 5

Karo-lina-s [1.5K]

First evaluate the sq root of 45.
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The factors of 45 are 3 x 3 x 5.

Notice that there is a 3 x 3. That means you can get the 3 out of the square root and multiply with the number outside of the square root.

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Subtracting and Adding square roots is the same thing as subtracting and Adding variables. If they have the same variable you can +/-. So if they have the same square root, then can +/-.

Answer: 29 square root 5

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4 years ago

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