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
Alex787 [66]
3 years ago
8

The function g(x) = x2 - 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis?

Mathematics
1 answer:
Anettt [7]3 years ago
5 0

Answer:

(4, 0) and (6, 0)

Step-by-step explanation:

The function that we have is:

g(x)=x^2-10x+24

This is the function of a <u>parabola.</u>

to find the points where the function crosses the x-axis, we need to find the values of x for which g(x) (which is the value of the y-axis) is equal to zero.

so we need g(x)=0 for the function to be crossing the x-axis.

Thus our equation becomes:

x^2-10x+24=0

and we can solve this equation with the quadratic formula or by factoring.

I will sove by factoring:

To factor this type of equations we need to find 2 number that satisfy the following:

  • when multiplied result in +24 (the independent number of the equation)
  • and when added or substracted result in -10 (the coefficient of the x in the equation)

In this case those 2 number are: -6 and -4 because:

(-6)(-4)=+24

-6 - 4 = -10

Thus we arrange our factored equation as follows:

from x^2-10x+24=0 through factoring we get:

(x-6)(x-4)=0

and because of the <u>zero factor property</u> (if two things when multiplied result in zero one of them or both must be zero), thus our x values are:

x-6=0\\x=6\\

and

x-4=0\\x=4

thus, our points are those with and y coordinate of 0 and an x coordinate of 6 and 4:

(4,0) and (6,0)

You might be interested in
The sum of two numbers is 128. Their difference is 114. Find the numbers
gregori [183]

Answer:

14?

Step-by-step explanation:

8 0
3 years ago
Find the value of f(–3) and g(3) if f(x) = –6x + 3 and g(x) = 3x + 21x–3.
ryzh [129]

Answer:

f(-3) = 21

g(3) = 69

Step-by-step explanation:

We have been given the following functions;

f(x) = –6x + 3

g(x) = 3x + 21x–3.

To find f(-3) , we simply substitute x = -3 in the function of f(x);

f(-3) = -6(-3) + 3

      = 21

To find g(3) , substitute x = 3 in the function of g(x);

g(3) = 3(3) +21(3) - 3

      = 69

3 0
3 years ago
I need help help me please and no links please or I will report you
quester [9]

Answer:

Length: 11 meters

Width: 8 meters

Step-by-step explanation:

11 + 11 + 8 + 8 = 38

8 + 8 = 16

16 - 11 = 5

3 0
2 years ago
Parker ran 800 meters, 6 kilometers,and 4,000 centimeters. How many meters did he run all together?
Vesna [10]
The correct answer is 6,840 meters. Hope this helps! ;)
6 0
3 years ago
Read 2 more answers
The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial velocity of 80 feet per sec
SVEN [57.7K]

Answer:

f(2) = f(3) = 102 ft

Step-by-step explanation:

The height f at t = 2 seconds is given by:

f(t) = -16t^2 + 80t + 6\\f(2) = -16*2^2 + 80*2 + 6\\f(2)=-64+160+6\\f(2)=102\ ft

The height f at t = 3 seconds is given by:

f(t) = -16t^2 + 80t + 6\\f(3) = -16*3^2 + 80*3 + 6\\f(3)=-144+240+6\\f(3)=102\ ft

For both t =2 and t =3, the expression results in a height of 102 ft, therefore f(2) = f(3) = 102 ft.

4 0
3 years ago
Other questions:
  • What is the value of x?<br> Please helpp
    6·1 answer
  • Can somebody please help me with this?
    9·1 answer
  • Jan received -22 points on her exam. She got 11 questions wrong out of 50 questions. How much was Jan penalized for eat wrong an
    9·1 answer
  • A rectangular floor is 9 yards long and 3 yards wide. What is the area in square feet!
    14·2 answers
  • If Colorado Springs, Colorado, has 1.4 times more days of sunshine than Boston, Massachusetts, how many days of sunshine does ea
    14·1 answer
  • Function notation<br> Given f(x) = 5x - 3, find f(-2).<br> Choose:<br> A-13<br> B-7<br> C-5<br> D0
    14·2 answers
  • Simplify -(n + 2) + 3(n – 2)
    7·1 answer
  • What is 5 + 6 I need a lot of help with this
    8·2 answers
  • 40 is a rational number.
    9·2 answers
  • What is the measure of EACH exterior angles t<br>of the polygon shown?​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!