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
nekit [7.7K]
3 years ago
9

What are the roots of the function y = 4x2 + 2x – 30? To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x

– 30.
Factor out the GCF of .
Next, factor the trinomial completely. The equation becomes .
Use the zero product property and set each factor equal to zero and solve. The roots of the function are .
Mathematics
2 answers:
nasty-shy [4]3 years ago
8 0
4x² + 2x - 30 = 0
<span>
factor out the GCF:
</span>2(2x² + x - 15) = 0
<span>
factor the trinomial completely:
2x</span>² + x - 15 = 0
2x² + 6x - 5x - 15 = 0
2x(x + 3) - 5(x + 3) = 0
(2x - 5)(x + 3) = 0

<span>use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0     or     x + 3 = 0
2x = 5                   x = -3
x = 2.5

</span><span>The roots of the function are x=-3,  x=2.5</span>
umka2103 [35]3 years ago
3 0

Factor out the GCF of "2."  Next factor the trinomial completely. The equation becomes "0=2(2x-5)(x+3)." Use the zero product property and set each factor equal to zero and solve. The roots of the function are "-3 and 5/2."

Hope this helps!


-Charlie

You might be interested in
What is the exponential notation of 100
Andreyy89
The answer is 1x10^2 or just simply 10^2.
5 0
3 years ago
Maggie earns money from working at the pet store and answering phones. She earns $10 each hour she works at the pet store and $0
kicyunya [14]
I set up an equation and solved for the hours

3 0
3 years ago
Help- ASAP please (25 points)
Alina [70]

Answer:

(t^2 -4) (t^2 +4)

(t-2)(t+2)(t^2+4)

Step-by-step explanation:

t^4 - 16

We can write this as the difference of squares

We know the dfference of squares is

(a^2 - b^2) = (a-b) (a+b)

( t^2 ^2 - 4^2) = (t^2 -4) (t^2 +4)

We can write t^2 -4 as the difference of squares

t^2 -4 = t^2 -2^2 = (t-2)(t+2)

Replacing this in

( t^2 ^2 - 4^2) = (t^2 -4) (t^2 +4) =  (t-2)(t+2)(t^2+4)

8 0
4 years ago
Read 2 more answers
In the X Y -plane, Line crosses the Y - axis at the point (0,3) and passes through the point ( 4,5). Which of the following is a
nikitadnepr [17]

Answer: y = 1/2x + 3

Step-by-step explanation:

Use the equation y=mx +b

Find the slope (m) of the line by finding the difference in y over the difference in x. Or "rise over run".

The y-intercept (b) is 3 (when x is zero, it is y).

4 0
3 years ago
If EG=50,and point F is 2/5 of the way between E and G
TEA [102]
2/5 of 50 is 20. 50-20=30. Making FG=30

7 0
3 years ago
Other questions:
  • How much egg she has
    15·1 answer
  • If A=B, where on the number line will A appear ?
    6·1 answer
  • -6x + 2y = 16<br> -4x + y = 9<br><br> Can someone show me how to solve the system?
    13·1 answer
  • Let z=6-7i and z^2=a+bi. What are the values of a and b ?
    13·1 answer
  • How do you solve 7=s-9
    12·1 answer
  • There are 6 male ducks and 2 female ducks in a small group. What is the equivalent ratio of males to females?
    11·1 answer
  • A football team consists of 20 each freshmen and sophomores, 15 juniors and 10 seniors. Four players are selected at random to s
    13·1 answer
  • Find DC, given that line AD is the angle bisector of
    13·1 answer
  • Can anyone plz help me plz:
    8·1 answer
  • Consider figures 1 through 4 on the coordinate plane.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!