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
On a road map the distance between two cities is 2.5 in the map scale is 1 inch equals 30 miles what is the actual distance betw
Elenna [48]

Answer:

98

Step-by-step explanation:

duh

8 0
3 years ago
Pls helppppp! I'll give brainliest :))<br><br> 1/3y+6-2/3y
Vitek1552 [10]

Answer: 5.66666666667

Step-by-step explanation: Thanks and have a Savage day.

5 0
3 years ago
A student of the author earned grades of 92, 83, 77, 84, and 82 on herfive regular tests. She earned grades of 88 on the final e
goblinko [34]

The class is weighted as follows:

60% Regular Tests

10% Final Exam

15% Project

15% Homework

The total weighted points possible for the class are as follows:

(100+100+100+100+100)*.6 + 100*.1 + 100*.15 + 100*.15 = 340

To calculate her individual final weighted grade we plug in her scores for each category and complete the following computation:

(92+83+77+84+82)*.6 + 88*.1 + 95*.15 + 77*.15 = 285.4

So her weighted grade percent would be 285.4/340 = 83.9% which is a B.

8 0
3 years ago
Two trains begin in Milford and end in Pinkerton, which is 300 miles away. Train A leaves Milford at 10:00 a.M. And travels at a
cluponka [151]

Answer:

B. Train B  

Step-by-step explanation:

We are told that Milford and Pinkerton is 300 miles away.

Train A leaves Milford at 10:00 am. There are 3 hours between 10:00 am to 1:00 pm. So let us find distance traveled by train A in 3 hours.

\text{Distance}=\text{Speed*Time}  

\text{Distance traveled by train A}=90\frac{\text{ miles}}{\text{ hour}}\times 3\text{ hours}

\text{Distance traveled by train A}=90\times 3{\text{ miles}

\text{Distance traveled by train A}=270{\text{ miles}

Since train A will cover 270 miles in 3 hours and distance between Milford and Pinkerton is 300 miles, therefore, train A will not arrive Pinkerton before 1:00 pm.

Since there are 5 hours between 8:00 am to 1:00 pm, so let us find distance traveled by train B in 5 hours.

\text{Distance traveled by train B}=70\frac{\text{ miles}}{\text{ hour}}\times 5\text{ hours}

\text{Distance traveled by train B}=70\times 5 \text{ miles}

\text{Distance traveled by train B}=350\text{ miles}  

Since train B will cover 350 miles in 5 hours, therefore, train B will arrive Pinkerton before 1:00 pm and option B is the correct choice.

5 0
3 years ago
Please help me on this
laiz [17]

Answer:

34

Step-by-step explanation:

Angles 3 and 7 are corresponding angles. When the lines defining the base of the corresponding angles are parallel (as in this case where a is parallel to b), then the angles are equal.

That's the heavy duty definition. It just means that corresponding angles in parallel lines are equal.

So if <3 = 34 degrees, then <7 = 34 degrees.

7 0
3 years ago
Other questions:
  • A circle is centered at C(0,0)The point M(0,sqrt{3}) is on the circle. Where does the point N(-5,-3) lie?
    10·1 answer
  • Simplify;<br> 26 ⋅ 26^8<br><br> Please also explain how you got the answer.
    7·1 answer
  • How long is each wire?
    10·1 answer
  • Simplest form of (36^)1/3
    10·1 answer
  • What is the product of -1 2/3 and (-5 1/4) as a mixed number and in simplest form please :)
    11·1 answer
  • Estimate a 10% tip on a bill of $143.17 by first rounding the bill amount to the nearest ten dollars.
    7·2 answers
  • 4 is the square root of which number ?
    9·1 answer
  • Point R is located at (3, 2) and point S is located at (8, 15) .
    8·1 answer
  • if one jar of jalapeños cost $2, how much will 7 jars cost? can somone help me do this step by step?!:)))
    14·2 answers
  • What is the approximate area in square feet of the stained glass<br>​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!