1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lorico [155]
3 years ago
7

The functions q and r are defined as follows.

Mathematics
1 answer:
irinina [24]3 years ago
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
You might be interested in
What is the average of 66 and 149.
Minchanka [31]
66 + 149 = 215
215/2 = 107.5
107.5 is the average.
5 0
3 years ago
Read 2 more answers
The temperature at sunset was -3°F
Softa [21]
-3-10+4 is the answer
3 0
3 years ago
Read 2 more answers
The area of a rectangular piece of cardboard is represented by
Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

A = wl

w(2w + 3) = 9

From this, we get that:

l = 2w + 3, A = 9

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

w(2w+3) = 9

2w^2 + 3w - 9 = 0

Thus a quadratic equation with a = 2, b = 3, c = -9

Then

\Delta = 3^2 - 4(2)(-9) = 81

w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5

w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0
2 years ago
Write an expression so that when u divided 1/4 by a number the answer will be larger
Viktor [21]
20x1/4=5
Think thats what you mean
4 0
2 years ago
Determine whether the function ƒ(x) = x4(x2 − 1) is even, odd or neither.
Scrat [10]
F(x) = x4(x2 - 1)
f(-x) = (-x)4((-x)2 - 1)
f(-x) = x4(x2 - 1)
from above explanation it is clear that the function is even.
7 0
3 years ago
Other questions:
  • How many permutations are there of the letters in the word 'PLANTS', if all the letters are used without repetition?
    8·1 answer
  • When determining the quotient of two numbers written in scientific notation,______the base numbers and______the exponents of the
    13·1 answer
  • Express the ratio 45 seconds to 30 minutes as a fraction in simplest form.
    14·2 answers
  • The triangle shown below has an area of 40 units”.<br> Find the missing side.
    10·1 answer
  • 1597/89 done in long division
    13·1 answer
  • Laplace Transform of t ^{2}sin(2t)? ...?
    11·1 answer
  • I WILL GIVE BRAINLIEST TO CORRECT ANSWER
    7·2 answers
  • You decided to go to the mall and find a sweatshirt that cost $25.80 on sale for 35% off. How much will you SAVE by buying the s
    6·1 answer
  • Which statement is true? 1, A strong association implies a positive correlation. 2, A Positive correlation implies a strong asso
    12·1 answer
  • WHATS THE ANSWER TO THIS OH MY
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!