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lorasvet [3.4K]
2 years ago
6

If fx()=8-10x and g(x)=5x+4, what is the value of (fg)(-2)

Mathematics
1 answer:
lyudmila [28]2 years ago
7 0

So, we are looking for F of G of 2. So, we need to work backwards and find G(x) first.


g(-2)=5(-2)+4\\g(-2)=-6

So we know that g(-2) = -6, now we take thatt -6 and plug in into f(x)

f(g(-2))=f(-6)\\f(-6)=8-10(-6)\\f(-6)=8+60\\f(-6)=68


68 is the answer

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Which of the following is the solution to the equation x + 6.8 = 53.5?
gregori [183]
X+6.8=53.5
x=53.5-6.8
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5 0
3 years ago
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Maria grandmother has 1/6 pound of silver coins she divides the coins evenly by weight among her 4 grandchildren what fraction o
Alja [10]
1/6÷4/1
do reciprocal
1/6×1/4

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6×4=24

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8 0
3 years ago
Suppose a farm has pens for raising insects. A pen is shaped as a rectangle that measures x meters wide and 2x meters long and h
Ludmilka [50]

Answer:

1.2 meters.

Step-by-step explanation:

Length of pen = 2x meters

width of pen = x meters

shape of pen is  rectangular

we know that area of rectangle is given by length * width

Thus, area of the pen is x*2x = 2x^2

It is also given that area of pen is 2.8 square meters.

Equating numerical value of area  with area in terms of x, we have

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5 0
3 years ago
Given that u =< 2,12 >, and z =< -7,5 >
swat32

Using the dot product:

For any vector x, we have

||x|| = √(x • x)

This means that

||w|| = √(w • w)

… = √((u + z) • (u + z))

… = √((u • u) + (u • z) + (z • u) + (z • z))

… = √(||u||² + 2 (u • z) + ||z||²)

We have

u = ⟨2, 12⟩   ⇒   ||u|| = √(2² + 12²) = 2√37

z = ⟨-7, 5⟩   ⇒   ||z|| = √((-7)² + 5²) = √74

u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46

and so

||w|| = √((2√37)² + 2•46 + (√74)²)

… = √(4•37 + 2•46 + 74)

… = √314 ≈ 17.720

Alternatively, without mentioning the dot product,

w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩

and so

||w|| = √((-5)² + 17²) = √314 ≈ 17.720

7 0
2 years ago
.............I need help thnx
kari74 [83]

The answer is A

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3 0
3 years ago
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