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notka56 [123]
3 years ago
5

Using the graph below, identify 2 solutions to the inequality y<-3/2x+2

Mathematics
1 answer:
lora16 [44]3 years ago
3 0
Any point in that shaded area  is a solution
(0,0) is a solution
(-1,-1) is a solution
(-3,3) is a solution
etc
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Work out size of angle x
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Step-by-step explanation:

Comment

You are given values for the adjacent side of <x and the hypotenuse of a right triangle. This defines the Cosine of an angle

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Cos(x) = a/c the way you have labeled it.

Givens

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Exponential growth/decay problem 1
RUDIKE [14]

Answer:

a) growth

b) $500

c) 6% = 0.06

d) f(x)=500(1.06)^x

e) $595.51

Step-by-step explanation:

<u />

<u>Part (a)</u>

Exponential GROWTH, since interest is applied to the account each year.

<u>Part (b)</u>

Initial amount = $500

<u>Part (c)</u>

Growth factor = 6% = 0.06 (in decimal form)

<u>Part (d)</u>

General form of exponential growth function:

f(x)=a(1+r)^x

where:

  • a = initial amount
  • r = rate of growth (in decimal form)
  • x = time (in years)

Given:

  • a = 500
  • r = 0.06

\implies f(x)=500(1+0.06)^x

\implies f(x)=500(1.06)^x

<u>Part (e)</u>

when x = 3

\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}

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2 years ago
What is the slope of the line that passes through the line<br> containing (-6, 1) and (4, 8)?
diamong [38]
The slope is m=7/10


I hope it helps :)
6 0
3 years ago
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