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
Damm [24]
4 years ago
10

Write the quadratic equation whose roots are 3 and -1, and whose leading coefficient is 5.

Mathematics
1 answer:
Assoli18 [71]4 years ago
6 0

Answer:

5x² - 10x - 15 = 0

Step-by-step explanation:

Given that the roots are x = 3 and x = - 1, then the factors are

(x - 3) and (x + 1) and the quadratic is the product of the factors, that is

f(x) = a(x - 3)(x + 1) ← a is a multiplier

Here a = 5, thus

f(x) = 5(x - 3)(x + 1) ← expand factors using FOIL

     = 5(x² - 2x - 3) ← distribute parenthesis by 5

     = 5x² - 10x - 15

Thus equation is

5x² - 10x - 15 = 0

You might be interested in
What is 82% as a decimal
Alik [6]
82% to decimal is 0.82
7 0
3 years ago
Read 2 more answers
Is 9.63 < or > than 1.82? And how do you tell
lana66690 [7]

Answer:

The answer is > because 9.63 is greater than 1.82

Step-by-step explanation:

9.63 is a larger number than 1.82

7 0
4 years ago
Solve the simultaneous equation 5x+3y=23 2x+4y=12
uranmaximum [27]

() = Fraction

Answer:

1. x= −(3 /5 y)+ (23 /5)

2. x=−2y+6

Step-by-step explanation:

Let's solve for x.

5x+3y=23

Step 1: Add -3y to both sides.

5x+3y+−3y=23+−3y

5x=−3y+23

Step 2: Divide both sides by 5.

5x /5 = −((3y+23) /5)

x= −(3 /5 y)+ (23 /5)

------------------------------------------------

Let's solve for x.

2x+4y=12

Step 1: Add -4y to both sides.

2x+4y+−4y=12+−4y

2x=−4y+12

Step 2: Divide both sides by 2.

(2x /2 )= −((4y+12) /2)

x=−2y+6

Hope it helped!

5 0
3 years ago
A company that relies on Internet-based advertising linked to key age demographics wants to understand the relationship between
MA_775_DIABLO [31]

Answer:

a)D. Since the company wants to predict revenue from advertising expenditure, the explanatory variable is advertising expenditure.

b)B. Since the company wants to predict revenue from advertising expenditure, the response variable is revenue

c)C. Since advertising expenditure is the explanatory variable, it should be plotted on the x-axis.

Step-by-step explanation:

a) The explanatory  variable is the independent variable (the difference between explanatory an indepent is that independent means that it doesn´t depend of any variable at all and in the explanatory  variable we are not 100% sure)

In this case, the  company wants to know if the money they spend in advertising  is related to the company's revenue. So , in this case the  explanatory variablle is the money they spend in advetirsing  while the dependent variable is the revenue ( that will increase or decrease depending on the money spent)

b) The response variable ist he dependent variable so like it was explained in a) is  revenue.

c) In a cartesian graphic on the x axis we always draw the independent variable, so in this case we will draw the money spent in advertising.

7 0
3 years ago
137 has a half line of approximately 30 years. How much of a 40 g sample would be left after 90 years??
AnnZ [28]
How much of a 40 g sample would be left after 90 years
5 0
3 years ago
Other questions:
  • Write an algebraic expression for the following
    10·2 answers
  • How to get cubit root of 500
    5·2 answers
  • Augustine has a normal 12 month calendar on his desk. If he chooses
    7·2 answers
  • Use the Distributive Property to determine which of the following statements is equivalent to 3(4-2).
    15·1 answer
  • F(n) = 41 – 5n<br> Complete the recursive formula of f(n).<br> f(1) =<br> f(n) = f(n − 1)+
    5·1 answer
  • Suppose you deposit $1,348 at an interest rate of 2.5% per year for 18 months. Find the simple interest. Then find the total of
    7·2 answers
  • Jack wrote this solution to solve for x.<br><br> Which statement is true?
    5·2 answers
  • 4k + 12 = 52<br> using algbra
    12·1 answer
  • Whats the mean of 1 0 1 3 2 7
    12·1 answer
  • Which is the best approximation for the solution of the system of equations?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!