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
marissa [1.9K]
3 years ago
5

Write the quadratic equation whose roots are -3 and 2 , and whose leading coefficient is 5

Mathematics
1 answer:
KiRa [710]3 years ago
5 0

Step-by-step explanation:

Since, roots are - 3 & 2

Therefore, (x + 3) & (x - 2) would be factors.

Leading coefficient is 5

Hence, required quadratic equation is:

5(x + 3)(x - 2) = 0 \\   \therefore \:  5( {x}^{2}  - 2x + 3x - 6)  = 0\\  \therefore \:  5( {x}^{2}  + x - 6)  = 0\\ \therefore \: 5 {x}^{2}  + 5x - 30  = 0\:  \\ is \: the \: required \:   quadratic \: equation.

You might be interested in
janelle has $75. She buys jeans that are discounted 30% and then uses an in-store coupon for $10 off the discounted price. After
kicyunya [14]

If you want to the know the total price of the jeans, with discount coupon and sales tax then it's $15.76

$75 x 0.30 = $22.50

$22.50 - $10 = $12.50

$12.50 + $3.26 = $15.76

7 0
3 years ago
Solve <br> -15-2g+6g=1+6g
katrin [286]
<span>-15-2g+6g=1+6g
Combine like terms
-2g=16
Divide by -2 on both sides
g=-8</span>
7 0
3 years ago
Read 2 more answers
Can anyone help me with this Midterm Advanced Algebra problem. (DONT ANSWER IF YOUR NOT SURE)
tigry1 [53]

Answer:

y = -1/2x + 13/2

Step-by-step explanation:

The slope of a line that is perpendicular to a line will be a negative reciprocal. When you rewrite 2x-7=8 into slope-intercept form, you get y=2x-8. The negative reciprocal of the slope 2x is -1/2x. There is only one option with this slope. If you're still not sure then you can use a graphing calculator to check this. An online one would be desmos

3 0
2 years ago
Favorite Book Types
Zinaida [17]

Answer:

39

Step-by-step explanation:

10+18+14+16+3=61

100-61=39

6 0
3 years ago
Answer these 12 questions
frutty [35]

Answer:

Step-by-step explanation:

1) 7x - 14 =  2x + 11    {Add 14 to both sides}

  7x - 14 +14 = 2x + 11  +14

7x  = 2x + 25

7x - 2x = 2x + 25 - 2x

5x = 25           {Divide both sides by 5}

5x/5 = 25/5

x = 5

 

2) 6x + 5 = 3x + 14

6x = 3x + 14 - 5

6x = 3x + 9

6x - 3x = 9

3x = 9

x = 9/3

x = 3

3) 12x + 5 = 4x +37

12x = 4x + 37 - 5

12x = 4x + 32

12x - 4x = 32

8x = 32

x = 32/8

x = 4

4) 3x + 8 = 2x + 21

3x  = 2x + 21 - 8

3x = 2x + 13

3x - 2x = 13

x = 13

5)  5x + 3 = x + 11

5x = x + 11 -3

5x = x + 8

5x - x = 8

4x = 8

x= 8/4

x = 2

6 0
2 years ago
Other questions:
  • A farmer saw some chickens and pigs in a field. he counted 30 heads and 84 legs. determine exactly how many chickens and pigs he
    12·1 answer
  • Sam needs at least 78 credits to get his college degree. At the end of his third year, Sam has a total of 52 credits. Which ineq
    5·1 answer
  • How many significant figures will there be in the answer to the following
    6·1 answer
  • 5. We can perform the logical operations on strings of bits by considering each pair of corresponding bits separately (called bi
    5·1 answer
  • Sam was asked to place the numbers shown below in order from least to greatest.
    6·1 answer
  • Write an equation for the description.
    5·2 answers
  • Which of the following operations is true regarding relative frequency distributions? Multiple choice question. No two classes c
    14·1 answer
  • Is 1.2 greater or less than 1.35
    10·1 answer
  • Ashley had a doll collection consisting of 43 dolls. As she got older she ended up selling some. She only kept her
    10·1 answer
  • Incentives for Saving: Tutorial
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!