Answer:
1) 5
2) (3 , 24)
Step-by-step explanation:
Question 1
f(x) x= 1 2 * 5¹ = 10
f(x) x= 2 2 * 5² = 50
f(x) x= 3 2 * 5³ = 250
multiplicative rate of change = 50/10 = 5
check: 250/50 = 5
Question 2
f(x) = 2 * 4ˣ
(3 , 24) f(3) = 2 * 4³ = 2 * 64 = 128 ≠ 24
Answer:
15.59 feet
Step-by-step explanation:
We need to find BC and CD
First find BC
We can use the Pythagorean theorem
AB^2 + BC^2 = AC^2
11^2 + BC^2 = 13^2
121 + BC^2 =169
Subtract 121 from each side
121-121+BC^2 = 169-121
BC^2 = 48
Take the square of each side
sqrt(BC^2 ) = sqrt( 48)
BC = 6.92820323
then we need to find CD
We can use the Pythagorean theorem
CD^2 + DE^2 = CE^2
CD^2 + 5^2 = 10^2
CD^2 + 25 =100
Subtract 25 from each side
CD^2 + 25-25 =100-25
CD^2 = 75
Take the square of each side
sqrt(CD^2 ) = sqrt( 75)
BC = 8.660254038
BD = BC +CD
= 6.92820323 + 8.660254038
15.58845727
A )
3 j + 5 p = 7.60
j + 2 p = 2.90
B )
j = 2.90 - 2 p
3 ( 2.90 - 2 p ) + 5 p = 7.60
8.70 - 6 p + 5 p = 7.60
p = $1.10
j = 2.90 - 2.20
j<span> = $0.70</span>
C )
The bill for 1 glass of orange juice and 1 pancake special would be:
0.70 + 1.10 = $1.80
Answer:
tan T = 3/4
tan U = 4/3
Step-by-step explanation:
The tangent ratio is opposite / adjacent. The ratio will vary for each angle since the perspective of each angle will be different. For example Angle T has an adjacent side of 4 while Angle U has an adjacent side of 3. The tangent ratios for Angles U and T are listed below:
tan T = 3/4
tan U = 4/3
Answer:
-4,-1
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