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
Grace [21]
3 years ago
10

Consider the functions f(x) = 8x + 16 and g(x) = x^2 + 2x + 5.

Mathematics
1 answer:
motikmotik3 years ago
7 0

Answer:

x =8

Step-by-step explanation:

To answer this question you must find the point at which g(x)\geq f(x)

So, we have:

x^2 + 2x + 5 \geq 8x + 16

x^2 + 2x -8x + 5 -16\geq0\\\\x^2 -6x -11\geq 0

To solve the quadratic function we use the quadratic formula

±

\frac{-b \± \sqrt{b^2- 4ac}}{2a}

Where:

a = 1\\b =-6\\c = -11

Then:

\frac{-(-6) \± \sqrt{(-6)^2- 4(1)(-11)}}{2(1)}\\\\x = 7.47\\x = -1.472

The line cuts the parabola by 2 points, x = -1.472 and x = 7.47.

You can verify that between x = -1.472 and x = 7.47. the line is greater than the parabola, but from x = 7.47, the parabola is always greater than the graph of the line.

Therefore the point sought is:

x = 7.47≈ 8

You might be interested in
Yolanda wants to pour 91.48 grams of salt into a container so far she has poured 72.2 grams how much more salt should Yolanda po
NeTakaya

Answer:

19.28

Step-by-step explanation:

91.48 minus 72.2

5 0
3 years ago
Read 2 more answers
HELPPP QUICK PLS I WOULD GIVE YOU THE BRAINIEST PLSSS HELPP MEEE BEFORE I HAVE A BREAKDOWN PLS What is the midpoint of a line se
Alisiya [41]

Answer:

(5.5, 12.5) OR (11/2, 25/2)

I would put in the decimal value as the answer, but of you like then you can add the fraction as an answer.

Step-by-step explanation:

We are given the endpoints (-4, 15) and (22, 3) to find the midpoint. In order to find the midpoint, we will use its formula.

Midpoint formula :- (x1 + x2 / 2, y1 + y2 / 2)

(x1 + x2 / 2, y1 + y2 / 2)

(<u>-4 + 15</u> / 2, <u>22 + 3</u> / 2)

(11 / 2, 25 / 2) ---> (5.5, 12.5) Midpoint

Hope I answered your question. Stay safe, happy, and healthy, thank you :) !!

7 0
3 years ago
Graded Assignment
san4es73 [151]

Answer:

1.) Amount of potting soil purchased last week.

2) 2p + 4 = 28

3.) 12 lbs

Step-by-step explanation:

1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.

2.)

Let amount of potting soil bought last week = p

Amount bought this week = 2p + 4

Since amount bought this week = 28

Hence, we have ;

28 = 2p + 4

28 - 4 = 2p

24 = 2p

p = 24 / 2

p = 12

8 0
3 years ago
If you make $450 a month but 15% is held out of each paycheck for Social Security and taxes how much do bring home?
aksik [14]

To solve this question make an equation

450 x 0.15 = X

0.15 = the percentage taken out of the paycheck

67.5 = Social Security Taxes

450 - 67.5

= $382.5

Or the easier way if you want it straight away

450 x 0.85 = $382.5

0.85 = percentage taken home

3 0
3 years ago
There are (2^2)^4 x 2^0 cows in a meadow. What is the total number of cows in the meadow?
Reika [66]
(2^2)^4 x 2^0 =
4^4 x 2^0 =
256 x 1 =
256
4 0
3 years ago
Other questions:
  • Nathan read 1/6 of a book the first week he had it. the shaded portion of the model below shows the fraction of the book nathan
    8·2 answers
  • Follow the steps to solve for the variable in this two-step equation:
    12·2 answers
  • I need a help Whith Economic
    13·2 answers
  • 5,256 divide 52 and show your work
    6·1 answer
  • Number of whole numbers between 45 and 69 is _________ .<br> (a) 31 (b) 23 (c) 25 (d) 28
    12·2 answers
  • 25624 divided by 2/3
    14·1 answer
  • BRAINLIEST IF correct
    9·2 answers
  • 1)<br> Which expression is equivalent to x^8 - 256?
    6·1 answer
  • Please help figure this out with the correct words
    11·1 answer
  • Find the average of this set of numbers.2, 5, 6, 14, 83
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!