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Answer:

y=x+5

Step-by-step explanation:

y-y1=m(x-x1)

y=-x+2

slope of y=-x+2 is -1, perpendicular slope is 1

y-3.5=1(x-(-1.5))

y-3.5=x+1.5

y=x+5

Answer:

2x - 1

Step-by-step explanation:

Equivalent Algebraic Expressions

One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.

The expression:

1 + 2(x - 1)

Can be modified by applying the following operations:

Multiplying the constant by the contents in parentheses:

1 + 2x - 2

Collecting like terms:

-1 + 2x

Or, equivalently:

2x - 1

Answer:

$22,100

Step-by-step explanation:

20 x 25 = 500

10 x 18 = 180

500 + 180 = 680

680 x 32.50 = 22,100

plz give me brainliest and hope this helps

Answer:

4/9 is the answer

Step-by-step explanation:

you're welcome

Answer:

30

Step-by-step explanation:

The mass of the solid is 600 grams if the unknown solid had a density of 20 g/cm3 and a volume of 30 cm3

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.

It is given that:

It was found that an unknown solid had a density of 20 g/cm3 and a volume of 30 cm3

As we know, from the definition of density:the mass-to-volume ratio

Density = mass/volume

mass = densityxvolume

mass =20x30

mass = 600 grams

Thus, the mass of the solid is 600 grams if the unknown solid had a density of 20 g/cm3 and a volume of 30 cm3

Learn more about the density here:

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Answer: 81

Step-by-step explanation: because you have 133 and 142 so if i was you i would subtract

step 1: 142-133 = 9  

Step 2: 90 - 9 = 81

There that is your answer 81

Answer: [tex]x = -\frac{91}{2}[/tex]

Step-by-step explanation:

If you have any questions, feel free to ask :)

Step 1: Add [tex]2[/tex] to both sides.

[tex]-182 + 2 = 2(1 + 2x)[/tex]

Step 2: Simplify [tex]-182 + 2[/tex] to [tex]-180[/tex].

[tex]-180 = 2(1 + 2x)[/tex]

Step 3: Divide both sides by [tex]2[/tex].

[tex]-\frac{180}{2} = 1 + 2x[/tex]

Step 4: Simplify [tex]\frac{180}{2}[/tex] to [tex]90[/tex].

[tex]-90 = 1 + 2x[/tex]

Step 5: Subtract [tex]1[/tex] from both sides.

[tex]-90 - 1 = 2x[/tex]

Step 6: Simplify [tex]-90 - 1[/tex] to [tex]-91[/tex].

[tex]-91 = 2x[/tex]

Step 7: Divide both sides by [tex]2[/tex].

[tex]-\frac{91}{2} = x[/tex]

Step 8: Switch sides.

[tex]x = -\frac{91}{2}[/tex]

~I hope I helped you :)~

Answer:

D. A slope of 3/2

Step-by-step explanation:

FInd slope with the formula y2-y1/x2-x1

Answer:

wdym

Step-by-step explanation:

Answer:

The value of f(g(-2)) is 12.

Step-by-step explanation:

We'll start by solving g(-2):

[tex]g(-2)\\= (-2)^2 + 2\\= 4 + 2\\= 6[/tex]

Now we can take that value and plug it into function f:

[tex]f(6)\\= \frac{-1}{2}6^2 + 5 * 6\\= -36/2 + 30\\= -18 + 30\\= 12[/tex]

Alternatively, you can work out a new single function that in itself describes f(g())

[tex]f(g(x)) = -\frac{1}{2}g(x)^2 + 5g(x)\\= -\frac{1}{2}(x^2 + 2)^2 + 5(x^2 + 2)\\= -\frac{1}{2}(x^4 + 4x^2 + 4) + 5x^2 + 10\\= -\frac{1}{2}x^4 - 2x^2 - 2 + 5x^2 + 10\\= -\frac{x^4}{2} + 3x^2 + 8[/tex]

and try plugging -2 into the new function

[tex]= - \frac{-2^4}{2} + 3(-2)^2 + 8\\= -16 / 2 + 3 * 4 + 8\\= -8 + 12 + 8\\= 12[/tex]

The value of f(g(-2)) for the given expression will be 12.

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

f(x) = [tex]\frac{-1}{2} x^2[/tex]  + 5x

And,

g(x) = x² + 2

Now,

For, x = -2,

i.e.

g(x) = x² + 2

Now,

Substituting the value of x = -2,

g(-2) = (-2)² + 2

On solving,

We get,

g(-2) =  6

Now,

For, f(g(-2)),

f(x) = [tex]\frac{-1}{2} x^2[/tex]  + 5x

i.e.

Substituting the value of g(-2) =  6,

i.e.

f(g(-2)) = [tex]\frac{-1}{2} (g(-2)^2)[/tex] + 5(g(-2))

i.e.

f(g(-2)) = [tex]\frac{-1}{2} *6^2[/tex]  + 5 * 6

On solving,

We get,

f(g(-2)) = -18 + 30

i.e.

f(g(-2)) = 12

So, the value of f(g(-2)) for the given expression is 12.

Hence, we can say that the value of f(g(-2)) for the given expression will be 12.

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Answer:

i believe the answer that you picked is right ....i think ^^

Answer:

The value is  [tex]P(X > 500 ) = 0.011942[/tex]

Step-by-step explanation:

From the question we are told that

       The mean is  [tex]\mu = 430[/tex]

       The standard deviation is  [tex]\sigma = 120[/tex]

       The sample size is  n  =  15

Generally  the probability that the sample mean is above 500

Gnerally the standard error of mean is mathematically represented as

             [tex]s = \frac{\sigma }{ \sqrt{n} }[/tex]

=>          [tex]s = \frac{ 120 }{ \sqrt{15} }[/tex]

=>           [tex]s = 30.984[/tex]

Generally  the probability that the sample mean is above 500

     [tex]P(X > 500 ) = P( \frac{X - \mu }{\sigma_x} > \frac{500 - 430 }{ 30.984 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

       [tex]P(X > 500 ) = P( Z > 2.259 )[/tex]

=>     [tex]P(X > 500 ) = P( Z > 2.259 )[/tex]

From the z table  the area under the normal curve to the right  corresponding to  2.259  is

          [tex]P( Z > 2.259 ) = 0.011942[/tex]

=>       [tex]P(X > 500 ) = 0.011942[/tex]

Answer:

x=8

Step-by-step explanation:

<3

Answer:

{8,4}     can you mark as brainliest

Answer:

It's the last one

I hoped that helped