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
xz_007 [3.2K]
3 years ago
14

Please help me figure out this problem

Mathematics
1 answer:
tiny-mole [99]3 years ago
5 0

Answer:

f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=x\\\\g(f(x))=g\left(-\dfrac{5}{3}x-7\right)=x

Step-by-step explanation:

Fill in the given expressions and simplify.

f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=-\dfrac{5}{3}\left(-\dfrac{3x+21}{5}\right)-7\\\\=\left(-\dfrac{5}{3}\right)\left(-\dfrac{3x}{5}\right)-\left(\dfrac{5}{3}\right)\left(-\dfrac{21}{5}\right)-7\\\\=\dfrac{15x}{15}+\dfrac{5\cdot 21}{3\cdot 5}-7=x+7-7=x

Going the other way, we have ...

g(f(x))=\displaystyle -\frac{3\left(-\frac{5}{3}x-7\right)+21}{5}=-\frac{-5x-21+21}{5}=x

You might be interested in
Help its lateee and i suck at this
s2008m [1.1K]

Answer:

1.  Identify the problem: Packaging boxes use too much material and create waste

2. What are the equations for the volume and surface area of a cube and rectangular prism?

Volume of a cube: Vcube = L x L x L = L3

Surface area of a cube: SAcube = 6 x (L x L) = 6L2

Volume of a rectangular prism: VRP = L x W x H = LWH

Surface area of a rectangular prism: SARP = 2 x (L x W) + 2 x (L x H) + 2 x (W x H) = 2(LW + LH + WH)

3. What is the difference in surface area of the packages below? (Note that they have the same volume.)

SAcube = 6L2

= 6 (20 cm)2

= 2,400 cm2

SARP = 2(LW + LH + WH) = 2 (20cm x 10cm + 20cm x 40cm + 10cm x 40cm) = 2,800 cm2

SARP – SAcube = 2,800 cm2

– 2,400cm2

= 400 cm

Step-by-step explanation:

everything in bold is the answer

Can I please get the Brainlist

3 0
3 years ago
the width of a rectangle is 4 less than half the length. if l represents the length, wich equation could be used to find the wid
torisob [31]
w=\dfrac{1}{2}l-4
7 0
3 years ago
THIS IS MY LAST QUESTION I HAVE TO DO, PLEASE HELP ME!
dimulka [17.4K]
The answer to the problem is 6,-6
8 0
2 years ago
F(t) = t-1<br> g(t)= t^3 + 4t<br> Find (f -g)(t)
Annette [7]

Answer:

Step-by-step explanation:

t - 1 - t^3 - 4t

-t^3 - 3t

5 0
3 years ago
In the given figure, O is centre of the circle. Find the value of x and y? ​
Effectus [21]

Answer:

The value of x = 13cm and y = 12cm.

Step-by-step explanation:

P is the exterior point to the circle with centre O

Radius = 5cm

Length of the tangent = 12 cm

Distance between the point and centre of the circle = x cm

We know that

The angle between the radius of the circle and the tangent at the point of contact is 90°

By Pythagoras Theorem

Hypotenuse² = Side²+Side²

⇛x² = 12²+5²

⇛x² = 144+25

⇛x² = 169

⇛x² = 13²

<h3>⇛x = 13 cm</h3>

We know that

The lengths of tangents drawn from the exterior point to the circle are equal.

<h3>y = 12 cm</h3>

<u>Answer</u><u>:</u> The value of x=13cm and y = 12cm.

<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> in the given figure, O and O' are centre of two circles and the circles intersect each other at points B and c. If AOCD is a straight line and /_ AOB =110, find...

brainly.com/question/957506?referrer

4 0
2 years ago
Other questions:
  • Can you help me with this question
    13·1 answer
  • Express the area of the entire rectangle.<br> Your answer should be a polynomial in standard form.
    12·1 answer
  • 1) five of ten people earn $0, four earn $100, and one loses $100. what is the expected payoff? what is the variance of the payo
    13·1 answer
  • 5. y = 2x + 6<br> 2x - y=2
    10·1 answer
  • A triangle has side lengths of 5a+3 5 a + 3 inches and 2a+3 2 a + 3 inches. If the perimeter of the triangle is 9a+12 9 a + 12 i
    12·1 answer
  • Q. 2 (a) The speed in ms-1 of an object after t seconds is given by the equation
    5·1 answer
  • Maria threw a party for the promotion she received. The party costs $20 for two people. If she invited 17 guests, what would the
    6·1 answer
  • Math Exit Slip: Value-Mart is having a back -to - school sale on pencils. A pack of of 20 sells for $7.97, whereas a 12-pack cos
    13·1 answer
  • Using the diagram, which of the following choices represent alternate exterior angles
    10·1 answer
  • What is a slope, what does it mean?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!