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
nlexa [21]
4 years ago
12

What is the factor of y = 4x2 +2x -30

Mathematics
1 answer:
Korolek [52]4 years ago
5 0
<span>What are the factors of y=4x^2 + 2x - 30?

First, divide 2 out of this expression.  y = 2(2x^2 + x - 30)

One way to factor this would be to find the roots using the quadratic formula:

Since a=2, b=1 and c= -15, 
        -1 plus or minus sqrt(1^2-4(2)(-15)
x = -------------------------------------------------
                           4
         -1 plus or minus sqrt(121)         -1 plus or minus 11
    = -------------------------------------- = ----------------------------
                        4                                            4

One such solution is -12/4, or -3.  The corresponding factor is (x+3), and the other is 5/2, leading to the factor (2x-5).

Therefore, </span><span>4x^2 + 2x - 30 = y = 2(2x-5)(x+3).</span>
You might be interested in
Hi I need some help...<br> -6y + 17 = 3y -10
prisoha [69]

Answer:

y=3

Step-by-step explanation:

Solve by subtracting

-6y + 17 = 3y -10\\-6y=3y-27\\-9y=-27\\

Divide.

-9y=-27\\y=-27/-9\\y=3

5 0
3 years ago
Solve for v<br><br> 3v+9-8v= -31<br> Simplify your answer as much as possible.
balandron [24]
Let's solve your equation step-by-step.
<span><span><span><span>3v</span>+9</span>−<span>8v</span></span>=<span>−31
</span></span>Step 1: Simplify both sides of the equation.
<span><span><span>−<span>5v</span></span>+9</span>=<span>−31
</span></span>Step 2: Subtract 9 from both sides.
<span><span><span><span>−<span>5v</span></span>+9</span>−9</span>=<span><span>−31</span>−9</span></span><span><span>−<span>5v</span></span>=<span>−40
</span></span>Step 3: Divide both sides by -5.
<span><span><span>−<span>5v</span></span><span>−5</span></span>=<span><span>−40</span><span>−5
</span></span></span><span>v=<span>8</span></span>
6 0
3 years ago
What is the slope of the line that passes through the pair of points? (5,2) and (7,8) the answers are 2/3,-2/3,3/2 or -3/2
Mice21 [21]
Answer:  The slope is:  "3" ; which does not appear among the                                   answer choices given.
______________________________________________

The slope, "m" is calculated as follows:
___________________________________
Given two coordinates on a line; 

m = (y₂ − y₁) / (x₂ − x₁) ;
__________________________________________

We are given the following 2 (TWO) coordinates:
__________________________________________
 1)  (5,2) ; which is:  (x₁ ,y₁) ;  so x₁ = 5 ; y₁ = 2 ; AND:
 
 2)  (7,8);  which is:  (x₂ ,y₂) ;  so x₂ = 7; y₂ = 8 ;
_____________________________________________
So;  m = (y₂ − y₁) / (x₂ − x₁) = (8−2) /.(7−5) = 6/2 = 3 .

m = 3.  The slope is: 3 ; which does not appear among the answer choices given.
______________________________________________
Alternately,
______________________________________________
We are given the following 2 (TWO) coordinates:
__________________________________________
 1)  (7,8) ; which is:  (x₁ ,y₁) ;  so x₁ = 7 ; y₁ = 8 ; AND:
 
 2)  (5,2);  which is:  (x₂ ,y₂) ;  so x₂ = 5; y₂ = 2 ;
______________________________________________
So;  m = (y₂ − y₁) / (x₂ − x₁) = (2−8) / (5−7) = -6/-2 = 3 .

m = 3.  The slope is 3 ; which does not appear among the answer choices given.
________________________________________________
6 0
3 years ago
How to write 40+5\10
Ede4ka [16]

Answer:

4 tens + 5 tenths

Step-by-step explanation:

40+5\10= 40+1/2=40.5

8 0
3 years ago
A shark weighs 405 kg and 68 grams a second shark weighs 324 kg and 75 g how much more does the first shark weigh in grams than
mariarad [96]

For this case we have to by definition:

1 kg equals 1000 grams

Shark 1:

405 kg and 68 grams

405 kg * \frac {1000 g} {1kg} = 405,000 grams

Thus, shark 1 weighs 405,068 grams.

Shark 2:

324 kg and 75 grams

324 kg * \frac {1000 g} {1 kg} = 324,000 grams

Thus, shark 2 weighs 324,075 grams.

Subtracting we have:

405.068 grams-324.075 grams = 80.993 grams

Thus, shark 1 weighs 80,993 grams more than the second.

Answer:

Shark 1 weighs 80,993 grams more than the second.

8 0
3 years ago
Other questions:
  • Roberta is on a hiking trip. On the first day, she starts hiking at an elevation of 223.3 feet. By the end of the first day, her
    10·1 answer
  • Write the standard equation of the circle with center (-3, 5) and a diameter of 18.
    5·1 answer
  • Express as simply as possible with a rational denominator. 1/root13
    13·1 answer
  • What is the standard form equation of 4x+7¥=11
    6·1 answer
  • What is P()<br> im so confused<br> what is P(12)<br> and how does it = to 1/30
    15·1 answer
  • Write The decimal as a percent .065
    11·2 answers
  • Julia bought name tags for a party. Each name tag is 3 3/4 in. wide and 2 1/3 in. high.
    7·2 answers
  • Solve the following equation, if possible, and determine if there is one solution, no solution, or infinitely many solutions.
    13·1 answer
  • A plane is a ____ figure
    13·2 answers
  • In each of the following problems, graph the line with the given slope m and y-intercept b.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!