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
Musya8 [376]
3 years ago
12

Given the quadratic equation: f(x) = x2+4x-21

Mathematics
1 answer:
ryzh [129]3 years ago
6 0

Answer:

x = - 7, x = 3

Step-by-step explanation:

To find the x- intercepts let f(x) = 0 , that is

x² + 4x - 21 = 0

Consider the factors of - 21 which sum to give the coefficient of the x- term (+ 4)

The factors are + 7 and - 3, since

7 × - 3 = - 21 and 7 - 3 = + 4, then

x² + 4x - 21 = 0

(x + 7)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 3 = 0 ⇒ x = 3

You might be interested in
Suppose that S and I are points on the number line.
FrozenT [24]
-5 + 19 = 14

-5 - 19 = -24

14,-24
4 0
2 years ago
Determine the common ratio and find the next three terms of the geometric sequence. 8, -20, 50, ... a. -2.5; -125, 312.5, -781.2
Natali [406]

Answer:

The common ratio is -2.5

The next three terms are;

-125, 312.5 and -781.25

Step-by-step explanation:

Here, firstly we want to determine the common ratio

To

do this, we have to divide the succeeding term by the preceding term

We have this as;

50/-20 = -20/8 = -2.5

Now, to get the next terms,

we multiply the given last term by the common ratio

That will be;

50 * -2.5 = -125

next is to multiply this by the common ratio

That will be;

-125 * -2.5 = 312.5

And lastly, we have

312.5 * -2.5 = -781.25

8 0
2 years ago
When 4(0.5x+2.5y-0.7x-1.3y+4)is simplified, what is the resulting expression?
Wittaler [7]
2x+10y-2.8x-5.2y+16=

-0.8x+4.8y+16

3 0
3 years ago
Read 2 more answers
The function m=30-3r represents the amount m (in dollars) of money you have after renting r video games.
san4es73 [151]
The domain of the equation are all the possible values of the independent variables that would make the equation reasonable, possible or true. In this item, the independent variable is r. This could take a value of 0 up to the point when m is equal to zero.
        m = 30 - 3r = 0
              r = 10

The domain is therefore [0, 10]. 

The range is the value of the dependent variable which would be from 0 to the point when no video game is played. This is, [0, 30]. 

The function is discrete because r and m cannot take every value in the number line. 
5 0
3 years ago
Find the value of X. Show your work.<br><br> Congruent triangle
Stells [14]

Answer:

x = 3

Step-by-step explanation:

exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles

97 + x = 64 + 27

x = 97 - 64 - 27 = 6

5 0
2 years ago
Read 2 more answers
Other questions:
  • Gas costs $3.65 what is estimated cost 14.2 gallons
    10·2 answers
  • I just need help with this
    13·1 answer
  • 2.
    14·1 answer
  • What do I need to do
    9·2 answers
  • 5. A cube has an edge lengths of 5 cm. A rectangular prism has dimensions 1p
    12·1 answer
  • Find f o g and g o f to determine if f and g are inverse functions. If they are not inverses, pick the function that would be th
    15·1 answer
  • The distance between (2,0) and (5, -1) is
    14·1 answer
  • Please answer! It’s not 100 so pleaseeeee <br> Marking Brainliest
    12·2 answers
  • Which of the following statements is true concerning ABC below?
    11·1 answer
  • I NEED HELP ASAP <br> FIND THE VAULE OF H IN THE FOLLOWING FIGURE
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!