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4 years ago

The functions q and r are defined as follows.

1 answer:

5 0

<span>q(x)=2x-1
r(x)=-2x^2+2
Find the value of
q(r(−3))=

First find r(-3)
</span>r(x)=-2x^2+2
put x= -3
r(-3)= -2(-3)^2+2
r(-3)=-18+2= -16

now q(x)=<span>2x-1
Put x=r(-3)
g(r(-3))=2(-16)-1
=-32-1= -33
</span>g(r(-3))= -33

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Select the action you would use to solve x - 4 = 16. Then select the property

Phoenix [80]

Answer:O C

Step-by-step explanation:

X - 4 = 16

X. = 16 - 4

X. = 12

7 0

3 years ago

An investment of $100 comma 000 was made by a business club. The investment was split into three parts and lasted for one year.

Artist 52 [7]

Answer:

$54000 was invested at 8% interest
$36000 was invested at 6% interest
$10000 was invested at 9% interest

Step-by-step explanation:

Total Investment = $100,000

The investment was split into three parts (say x, y and z)

x+y+z=100000

Simple Interest = Principal X Rate/100 X Time

The first part of the investment earned 8% interest

Interest on the first part = 0.08x

The second part of the investment earned 6% interest

Interest on the second part = 0.06y

The third part of the investment earned 9% interest

Interest on the third part = 0.09z

Total interest from the investments = $ 7380.

Therefore:

0.08x+0.06y+0.09z=7380

The interest from the first investment was 2 times the interest from the second.

0.08x=2 X 0.06y

0.08x=0.12y

Substituting we have:

0.12y+0.06y+0.09z=7380

0.18y+0.09z=7380

From 0.08x=0.12y

x=1.5y

Substituting x=1.5y into x+y+z=100000

1.5y+y+z=100000

2.5y+z=100000

z=100000-2.5y

Substituting z=100000-2.5y into 0.18y+0.09z=7380

0.18y+0.09(100000-2.5y)=7380

0.18y+9000-0.225y=7380

-0.045y=-1620

Divide both sides by -0.045

y=36000

Recall: x=1.5y

x=1.5 X 36000

x =54000

x+y+z=100000

54000+36000+z=100000

z=100000-(54000+36000)

z=10,000

Therefore:

$54000 was invested at 8% interest
$36000 was invested at 6% interest
$10000 was invested at 9% interest

3 0

3 years ago

Randall wants to mix 50 lb of nuts worth $2 per lb with some nuts worth $7 per lb to make a mixture worth $6 per lb. How many po

defon

A = nuts of $2/lb

B = nuts of $7/lb

let's say we'll mix "x" lbs of B to get a mixture with A of "y" lbs, therefore

$\bf \begin{array}{lcccl} &\stackrel{lbs}{quantity}&\stackrel{\textit{cost}}{per~lb}&\stackrel{\textit{cost}}{total}\\ \cline{2-4}&\\ A~ nuts&50&2&100\\ B~nuts&x&7&7x\\ \cline{2-4}&\\ mixture&y&6&6y \end{array} \\\\\\ \begin{cases} 50+x=\boxed{y}\\ 100+7x=6y \end{cases}\qquad \qquad \implies 100+7x=6\left( \boxed{50+x} \right) \\\\\\ 100+7x=300+6x\implies \blacktriangleright x=200 \blacktriangleleft$

3 0

3 years ago

Apr 22, 12:47:51PM

trapecia [35]

Your straight line is east-west

7 0

3 years ago

Emily begin piano practice at 3:25 she finished at 5:00 how long did she practice

S_A_V [24]

Answer: 1 hour 35 minutes

assuming both times were p.m. or a.m. and not one of each

Step-by-step explanation:

60 minutes in an hour.

3 hours 25 minutes = 205 minutes

5 hours = 300 minutes

300-205 = 95 minutes

95 minutes = 1 hour (60 minutes) and 35 minutes

3 0

3 years ago