find the answer in simplest form 3/7x2/3

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.

To know more about expression click here

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Answer:

x + R

Step-by-step explanation:

Answer:y>0

Step-by-step explanation:

Answer:

0.08

Step-by-step explanation:

i think because 21.84 percent of 0.41 is 0.08 so 0.41 of 0.08 is 21.84 i think its right if not im sorry

Answer:

Step-by-step explanation:

Answer:

34.5

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Triangle: 1/2BH

Square: BH

1. Split up the shapes

2. Use the area formula for square and triangle

Square area: 135

Triangle area: 45

3. Add

Answer:

$33.25

this is your answer because you multiply $4.75 times 7 friends and get a total of $33.25

Answer:

?

Step-by-step explanation:

Answer:

THNX Really needed this

Step-by-step explanation:

BRAINLIEST PLSSSS

Answer:

thanks for the points

Step-by-step explanation:

Answer:

H0: μ ≥ 39

Ha : μ < 39

Step-by-step explanation:

Given:

Specific production hour = 39

Explanation:

The given data is a left tailed test.

So,

The null hypothesis is ;

H0: μ ≥ 39

The alternative hypothesis is ;

Ha : μ < 39

Answer:0x0

Step-by-step explanation: there will have to be a number as its infinite numbers apparently

Answer:

Thought I would show you that my question you commented on was incomplete like I said, thanks for the points though.

Step-by-step explanation:

Answer:

Given the 2 values, height and the base, of these 2 triangles, we can assume that they are similar (meaning they share the same angles) as we have no other information to determine the height of the tree.

Therefore, if these triangles are similar, their corresponding sides are proportional. In other words, PZ/RT = QZ/ST or RT/PZ=ST/QZ

Hence, if we find the ratio of this, we can use it to find the side h

QZ/ST=PZ/RT

48/12=PZ/4

PZ/4=48/12

(PZ/4)3=48/12

PZ(3)/12=48/12

48/3=16

16=PZ.

3Step-by-step explanation:

Answer:

81°

Step-by-step explanation:

So you subtract those two number to find the missing angle and get 81°.

Answer:

Step-by-step explanation:

The solution to this problem is a graph.

Graph y ≥ 12x - 1:  this is a straight solid line with slope 12 and y-intercept -1.  Due to the presence of the  ≥  operator, we must shade (darken) the entire area above this line.  

Next, graph y < 43x – 2 using a dashed line (due to the < operator):  The slope is 43 and the y-intercept is -2.

Determine where the two lines intersect, either from the graph or algebraically.  If algebraically:

equate the two givens:

y = 12x - 1 = y = 43x – 2, which simplifies first to:

12x - 1 = 43x - 2, and second to

1 = 43x - 12x = 31x, which results in x = 1/31.

Substituting 1/31 for x in the first equation, we get:

y = 12(1/31) - 1, or y = 12/31 - 1, or y = 12/31 - 31/31, or y = 19/31

The two graphs intersect at (1/31, 19/31)

Shade (darken) the area beneath (under) the dashed line y < 43x – 2.

The solution is the area that you have darkened twice.

Answer:

y = -5/4 + 5

Step-by-step explanation:

y = mx + b

m is the slope, and b is the y-intercept

The slope is going down so it;s a negative. From one point to the other, it goes down 5 units while going to the right 4 units. So rise/run = -5/4

y-intercept is where the line intercepts on the y-axis, in this case the line goes through 5 on the y-axis, so it's 5

Answer:

C

Step-by-step explanation:

Answer:

y=mx+b

y=1/3x-3.5

i think thats the answer not completely sure tho ik 1/3 is the slope

Step-by-step explanation:

Answer:

Uhm no, let's call CPS. I hope you get out of there soon and have a better life without her. If calling CPS yourself is not an option, tell a friend to do so and explain what's happening.

Answer: 329/100

Step-by-step explanation:

3 29/100 is the answer

Answer:

11

Step-by-step explanation:

22+19=41

41-30=11

22 study physics, 19 study chemistry and 11 study both

Answer:

what is the question?

Step-by-step explanation:

Answer:

its B im pretty sure.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

I would assume the 8-pack to be the answer because:

Step-by-step explanation:

8 ÷ 7.92 = 1.01

12 ÷ 11.64 = 1.03

1.01 < 1.03

Answer:

I believe the better buy is the twelve pack.

Step-by-step explanation:

If you look, 7.92 is closer to 8, which almost makes it 1 dollar per soda, where the 11.64 is farther from twelve. :) i hope this helps you!

Answer:

∠ XWZ is a right angle.

Step-by-step explanation:

See the given diagram.

In triangle WXZ, WY is an altitude.

So, ∠ WYZ = ∠ XYW = 90°

Now, given that ∠ ZWY = ∠ WXY.

Now, from Δ XYW, since, ∠ XYW = 90° so, ∠ WXY + ∠ YWX = 90° ....... (1)

⇒  ∠ ZWY + ∠ YWX =  90° {Since, ∠ ZWY = ∠ WXY}

⇒ ∠ XWZ = 90°

Therefore, the angle XWZ is right angle. (Answer)

Answer:

B. XWZ is a right angle

Step-by-step explanation:

edge 2020 plz vote brainliest