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AVprozaik [17]
2 years ago
12

For all values of x,

Mathematics
1 answer:
Nana76 [90]2 years ago
6 0

Answer:

For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)

(f o g)(x) = f(g(x))

= 2 (g(x)) + 3

= 2( -x 2 + 1 ) + 3

= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)

Step-by-step explanation:

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Adam sold 40% of the 70 chocolate bars he has to sell for his school fundraiser. How many does Adam still have to sell? Provide
Karolina [17]

Answer:

C

Step-by-step explanation:

Given that he has sold 40% then he still has to sell (100 - 40)% = 60%

60% of 70

= \frac{60}{100} × 70 = 0.6 × 70 = 42 → C

8 0
3 years ago
What is the area of a triangle whose vertices are G(−1, 2), H(5, 2) and K(8, −3)
bogdanovich [222]

the area is 15

steps:

a=1/2bh

a=1/2(5)(6)

a=1/2(30)

a=15

5 0
3 years ago
A 15 ounce alloy containing 30% gold was mixed with an alloy containing 5% gold to get an alloy containing 20% gold. How many ou
Studentka2010 [4]

Answer:

4.5 % alloy

Step-by-step explanation:

Let x = amt of 30% alloy

The resulting total is to be 25 oz, therefore:

(25-x) = amt of 5% alloy:

A typical mixture equation:

.30x + .05(25-x) = .20(25)

.30x + 1.25 - .05x = 5 .30x - .05x = 5 - 1.25

.25x = 3.75

x = 3.75%2F.25

x = 15 oz of 30% alloy required

then

25-15 = 10 oz of 5% alloy:

Check solution

.30(15) + .05(10) = .20(25)

4.5 + .5 = 5

4 0
3 years ago
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3 0
3 years ago
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