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
Sladkaya [172]
3 years ago
14

Given the functions: g(n) = 3n - 5 f(n) = n2 + 50 Find: (g+f)(8)

Mathematics
1 answer:
puteri [66]3 years ago
7 0

Answer:

(g + f)(8) =133

Step-by-step explanation:

Given

g(n) = 3n - 5

f(n) = n^2 + 50

Required

(g + f)(8)

This is calculated as:

(g + f)(n) =g(n) + f(n)

So, we have:

(g + f)(n) =3n - 5 + n^2  +50

Substitute 8 for n

(g + f)(8) =3*8 - 5 + 8^2  +50

(g + f)(8) =24 - 5 + 64  +50

(g + f)(8) =133

You might be interested in
Which ordered pair is a solution to the system of linear equations Y= -7x+2 and y=9x-1
evablogger [386]

\left\{\begin{array}{ccc}y=-7x+2\\y=9x-1\end{array}\right\Rightarrow 9x-1=-7x+2\\\\9x-1=-7x+2\ \ \ |+1\\9x=-7x+3\ \ \ |+7x\\16x=3\ \ \ \ |:16\\x=\dfrac{3}{16}\\\\\text{substitute the value of x to the second equation}\\\\y=9\cdot\dfrac{3}{16}-1\\\\y=\dfrac{27}{16}-\dfrac{16}{16}\\\\y=\dfrac{11}{16}\\\\\text{The solution is}\ \left(\dfrac{3}{16};\ \dfrac{11}{16}\right)

3 0
4 years ago
Marco is 8 years younger than his brother Paolo. If their product of their ages is 105, how old is Marco? plz help
Nina [5.8K]

Answer:

Marco's age is 7 years old

Step-by-step explanation:

Let

x ----> Marco's age

y ----> Paolo's age

we know that

x=y-8 ----> y=x+8 ----> equation A

xy=105 ----> equation B

substitute equation A in equation B

x(x+8)=105

x^2+8x-105=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+8x-105=0

so

a=1\\b=8\\c=-105

substitute in the formula

x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(-105)}} {2(1)}

x=\frac{-8(+/-)\sqrt{484}} {2}

x=\frac{-8(+/-)22} {2}

x=\frac{-8(+)22} {2}=7

x=\frac{-8(-)22} {2}=-15

Remember that the solution cannot be a negative number

so

The solution is x=7

therefore

Marco's age is 7 years old

4 0
4 years ago
(05.08)Solve for x: 7 over 8 minus 1 over x equals 3 over 4.
NemiM [27]

If you are asking 7/8 - 1/x= 3/4,

first put 3/4 to 6/8 to make it easier.

Move the 7/8 over to the right. You will get 1/x=-1/8.

Simplify, it is x=-8.

Check=7/8 - 1/8=6/8

It checks out.

8 0
3 years ago
Read 2 more answers
Find the perimeter of a rectangle of which length is 5 more than the width
Leokris [45]

Answer:

<em>the</em><em> </em><em>perim</em><em>eter</em><em>=</em><em> </em><em>1</em><em>0</em><em>+</em><em>4</em><em>W</em><em>.</em>

<em>where</em><em> </em><em>W</em><em>=</em><em> </em><em>the</em><em> </em><em>wid</em><em>th</em><em>.</em>

Step-by-step explanation:

mathematically, perimeter (p)= 2L +2W

where L= length.and W=width

<em>from</em><em> </em><em>the</em><em> </em><em>exp</em><em>ression</em><em> </em><em>;</em><em>length is 5 more than the width</em>

<em>it</em><em> </em><em>is</em><em> </em><em>wri</em><em>tten</em><em> </em><em>as</em><em> </em>L = 5+W

<em>sub</em><em>stitute</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>formu</em><em>la</em><em> </em>

P= 2(5+W)+2W

P=10+2W+2W

P=10+4W as the perimeter of the rectangle.

8 0
3 years ago
Read 2 more answers
Jennifer is saving money to buy a bike. The bike costs $258. She has $125 saved, and each week she adds $19 to her savings.
makvit [3.9K]

Answer:

7 weeks

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Write 27/64 in the simplest form
    8·2 answers
  • Which of the following numbers is irrational?
    9·2 answers
  • Name two intersecting line segments that are not perpendicular.
    13·1 answer
  • .4 ÷ 28.08 Dividing Decimals , Divide to the nearest Tenth??<br> I Will Give You 10 Points
    13·1 answer
  • Which property of equality would you use in the first step of solving this equation 2x-6=12
    14·2 answers
  • If a cylinder has a volume of 1884 cubic centimeters and a height of six cm, explain how to find the radius of the
    15·1 answer
  • If mZOKL = 80°, then what is mZHKJ?<br> С<br> E<br> А4<br> N<br> H<br> K<br> M
    9·1 answer
  • What value of c makes the equation true? 34 = 6 + 4c
    11·2 answers
  • Correct answer will get brainliest!! A rectangular prism has dimensions of 8 cm by 9 cm by 10 cm. What is its volume?
    15·2 answers
  • What’s 1 + 1 + 1 + 1 x 0 x 1 x 1 x 1 + 1 + z + 33 + π + 8 + π?<br><br> will give ALL my points
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!