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
insens350 [35]
3 years ago
11

Jackie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

Mathematics
2 answers:
aev [14]3 years ago
5 0
They will not intersect.
vovikov84 [41]3 years ago
5 0

Answer:

No, they will not intersect

Step-by-step explanation:

We are given a expression of the function f(x) as:

f(x)=\dfrac{1}{2}x^2+1

and the table of values for g(x) is given as:

x g(x)


1 −1


2 −2


3 −3

i.e. the function is given as:

g(x)=-x

Also we can find the equation of g(x) by the slope intercept form i.e. y=mx+c

Here y=g(x)

When x=1 y=-1

this means -1=m+c-----(1)

And when x=2 y=-2

-2=2m+c------(2)

On solving the above two equations i.e. eqn(1) and (2) by method of elimination we have:

m=-1 and c=0

Hence y=g(x)=-x

From the graph of f(x) and g(x) we could clearly see that the graph of two functions do not intersect at any point in the coordinate plane.

Hence, last option is correct.

No, they will not intersect


You might be interested in
First, and correct answer gets brainliest, also worth 50 points
pishuonlain [190]

One angle be x

  • other is 2x-6

ATQ

\\ \sf\longmapsto x+2x-6=90

\\ \sf\longmapsto 3x-6=90

\\ \sf\longmapsto 3x=96

\\ \sf\longmapsto x=32

\\ \sf\longmapsto 2x-6=2(32)-6=58°

4 0
2 years ago
Read 2 more answers
Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must ha
Alina [70]
<h3>The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000</h3>

<em><u>Solution:</u></em>

<em><u>The expression to Michael earnings is:</u></em>

b + (c \times s)

Where,

b is the base salary, which is $ 900 in this sum

c is the commission rate

Given that commission rate is 5%

s is the sales

Michael must have to earn at least $2500 in a month

Here, at least means, "greater than or equal to" 2500

The inequality is framed as:

base salary + 5 % on sales \geq 2500

900 + \frac{5}{100} \times s \geq 2500\\\\\ 900 + 0.05s\geq 2500

Solve the inequality

0.05s\geq 2500-900\\\\0.05s \geq  1600\\\\Divide\ both\ sides\ by\ 0.05\\\\s\geq 32000

Thus, minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

8 0
3 years ago
The discriminant of the equation x^2 - 4x + 4 = 0 shows there will be solution(s).
Alex787 [66]

Answer:

one real

Answer: 1

Step-by-step explanation:

Givens

a = 1

b = -4

c = 4

Discriminate

Discriminate = sqrt(b^2 - 4*a*c)

Discriminate  = sqrt(  (-4)^2 - 4 * (1)(4) )

Discriminate = sqrt ( 16 - 16)

Discriminate = sqrt(0)

Discriminate = 0

That means the 1 real root is -  b / 2a = 4/(2*1) = - -2 = 2

3 0
2 years ago
The cost to repair linda's car is $500, including parts and labor. the cost of parts is $140. if the cost of labor is $40 per ho
Mkey [24]
500=140+40h
minus 140 both sides
360=40h
divide y 40
9=h
9 hours
5 0
2 years ago
I need help ASAP only answer if you can explain your answer
cupoosta [38]
Line FE because the radius is from one point of the circumference of the circle to the center of the circle and that is the only option
7 0
3 years ago
Other questions:
  • A company offers its employees the choice of two contracts. The first contract gives an initial salary of 15000/year rising it b
    9·2 answers
  • HELP ME THANKS ;) for number 1 through 11 QUICKLY
    7·1 answer
  • What is the answer to 8×(11+2)
    7·2 answers
  • Maekyala's Room is 65m by 3m by 3m.How many cubic meter of air will her room hold?
    10·1 answer
  • If the vertex H of a triangle is at (- 2, 2) , what are the coordinates of H in the dilation of the triangle when the origin is
    9·1 answer
  • A notebook costs £1.40, a pen costs 37p , a pencil costs 24p and a sharpener costs 77p.
    8·2 answers
  • PLEASE BE RIGHT AND SOLVE
    9·2 answers
  • Means and SDs. For each part, compare distributions (1) and (2) based on their means and standard deviations. You do not need to
    13·1 answer
  • 2. Find the product using any property 4x7649x25.<br><br>​
    12·1 answer
  • How many solutions are there to the equation below? 17 x - 8 = 3x + 16<br>maqth ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!