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
rusak2 [61]
2 years ago
12

Explain relationship between the factors of a quadratic expression, the roots of the related quadratic equation, and the x-inter

cepts if the graph of the related function
Mathematics
1 answer:
Zinaida [17]2 years ago
3 0

Step-by-step explanation:

So, let's use x2 - 3x - 28 as an example.

 

It's factors are (x - 7)(x + 4).

 

The roots are the x-values that make our expression equal 0. In order for x2 - 3x - 28 to equal 0, either of our factors need to equal 0, since 0 times anything is 0.

 

x2 - 3x - 28 = 0

(x - 7)(x + 4) = 0

 

x - 7 = 0

x = 7

(7 - 7)(7 + 4) = 0(11) = 0

 

x + 4 = 0

x = -4

(-4 - 7)(-4 + 4) = -11(0) = 0

 

That gives us two points on our graph, (7,0) and (-4,0). Where are those? On the x-axis! Thus, there are our x-intercepts.

 

By the way, for the future, along the x-axis, y = 0, so if you are asked for the x-intercepts (or roots), set y = 0 and solve for x.

 

Along the y-axis, x = 0, so if you are asked for the y-intercepts, set x = 0 and solve for y.

 

y = 02 - 3(0) - 28

y = -28

 

So, the y-intercept(s) of our same equation is y = -28, or (0,-28).

 

Boom.

You might be interested in
What does circumference mean?
Korvikt [17]
Answer: Distance around a circle
are you in college?
8 0
2 years ago
If the length of the base of a triangle is 7 m and the area of this triangle is 56 square meters, what is the length of the heig
lys-0071 [83]

Answer:

treatment iijiijiuej325ufffufuvufuuuuuuuuuuuuuu

4 0
2 years ago
Read 2 more answers
In a flower garden, there are 4 tulips for every 9 daisies. If there are 24 tulips, how many daisies are there?
Paul [167]

Answer:

54 daisies

Step-by-step explanation:

4 tulips : 9 daisies

24 tulips : ?

(24 × 9) ÷ 4 = 54 daises

3 0
3 years ago
Simplify the expression given below.<br><br> x+2/ 4x^{2} +5x+1 *4x+1/2x-4[/tex]
VashaNatasha [74]

Answer:

pls write understandably

7 0
3 years ago
Which three pairs of measurements are possible side lengths for the triangle?
wlad13 [49]

Answer:

Options (1), (5), and (6)

Step-by-step explanation:

See attached image

4 0
2 years ago
Other questions:
  • at what value of x does the graph of the following function f(x) have a vertical asymptote F(x)=1/x+2
    5·2 answers
  • 15 is 9 more than j translate one step equations and solve
    7·1 answer
  • Answers to fill in this table?????
    13·1 answer
  • How many pennies are in a tower with a height of 0 cm
    11·1 answer
  • If p(x) = x2 – 1 and q(x) = 5(x-1) which expression is equivalent to (p – q)(x)?
    13·2 answers
  • The cost of 24 bottles of water cost $6. Which expression shows how to find the cost 10 bottles of water.
    6·1 answer
  • What is the area of the triangle below (in square units)?<br> 2 mm<br> 14 mm
    8·1 answer
  • I WILL GIVE BRAINLIEST IF SOMEONE GET THIS.......
    14·1 answer
  • Could someone please tell me the answer of this.<br> Thanks .
    14·2 answers
  • 8. Eight more than the number of children is 24.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!