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Naya [18.7K]
3 years ago
11

F(x) = x2 – 3x + 5 g(x) = V22 – 2x Calculate g (f (1)).​

Mathematics
1 answer:
erik [133]3 years ago
3 0

Step-by-step explanation:

So first of all we plug in 1 into f(x) and the result of that into g(x).

f(1)=(1)^2-3(1)+5

=1-3+5

=3

g(3)=(3)(22)-2(3)

=66-6

=60

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The length of a rectangle is 6 meters shorter than its
rewona [7]

Answer:

Width = 14m

Step-by-step explanation:

width = w

length = w - 6

area: w(w-6) = 112

w^2 - 6w = 112

14 x 14 = 196

6 x 14 = 84

196 - 84 = 112

6 0
2 years ago
If (1/4)^(x+y) = 256 and log₄(x-y) = 3, what are the exact values of x and y
andrew-mc [135]

Answer:

x = 30 and y = -34

Step-by-step explanation:

Given the following functions

(1/4)^(x+y) = 256... 1

log₄(x-y) = 3.... 2

From equation 2;

x-y = 4³

x-y = 64

x = 64 + y ... 3

Substitutw 3 into 1

From 1:

(1/4)^(x+y) = 256

(1/4)^(64+y+y) = 256

(1/4)^(64+2y) = 256

Take log₄ of both sides

64+2y log₄ (1/4) = log₄256

-(64+2y) = 4log₄4

-(64+2y) = 4

64+2y = -4

2y = -4 - 64

2y = -68

y = -34

Since

x = 64 + y .

x = 64 - 34

x = 30

Hence x = 30 and y = -34

6 0
3 years ago
1. How many ways are there to make an octagon with 19 different sticks when order DOESN’T matter?
mart [117]

Answer:

1. 19C8 = 75582

2. 19P8= 3047466240

Step-by-step explanation:

First, find the number of ways to get 8 sticks from 19. At first, you have 19 choices, then 18, then 17, all the way to 12. Giving you 19*18*17*...*13*12, or 19!/11!.

Combination:

When order doesn't matter, you have to divide 19!/11! by the number of ways to order 8 sides, or 19!/11!/8!=19C8=75582

Permutation:

When order doesn't matter, you don't have to divide 19!/11! by the number of ways to order 8 sides, since you count each of these, and 19!/11!=19P8=3047466240.

6 0
3 years ago
A building casts a shadow 168 meters long. At the same time, a pole 5 meters high casts a shadow 20 meters long . What is the he
yawa3891 [41]

Answer:

42

Step-by-step explanation:

The height of the pole is 4 times shorter than the length of the shadow 20÷5=4

The height of the building must be 4 times shorter than its shadow length 168÷4=42

3 0
3 years ago
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irinina [24]

Answer: I need help too to that

Step-by-step explanation:

6 0
2 years ago
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