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
12

Use the function f(x) = -3x^2+13x+3 to find x when f(x) = -7

Mathematics
2 answers:
Bond [772]3 years ago
7 0

Answer: - 235

<u>Step-by-step explanation:</u>

f(x) = -3x² + 13x + 3

f(-7) = -3(-7)² + 13(-7) + 3

      = -3(49) - 91 + 3

      = -147 - 88

      = -235  

Bess [88]3 years ago
4 0

Answer:

x = 5 or x = - \frac{2}{3}

Step-by-step explanation:

given f(x) = - 7, then

- 3x² + 13x + 3 = - 7 ( add 7 to both sides )

- 3x² + 13x + 10 = 0 ← in standard form

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term

product = - 3 × 10 = - 30 and sum = + 13

The factors are + 15 and - 2

Use these factors to split the middle term

- 3x² + 15x - 2x + 10 = 0 ( factor by grouping the 1/2 and 3/4 terms )

- 3x(x - 5 ) - 2(x - 5 ) = 0 ( factor out (x - 5 ) )

(x - 5)(- 3x - 2) = 0

equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

- 3x - 2 = 0 ⇒ - 3x = 2 ⇒ x = - \frac{2}{3}



You might be interested in
The ratio of boys to girl at the dance was 9 to 5.how many girls were at the dance if there were 85 girls ar the dance
liq [111]

Answer:

153

Step-by-step explanation:

ans.

5x=85

x =85÷5

=17

9x=17x9

=153

6 0
3 years ago
i need help with my homework plssssss stella drank 2/3 of her water on monday and on tuesday she drank 3/7 how much alltogether
mel-nik [20]

Answer:

1  2/21

Step-by-step explanation:

2/3 + 3/7

14/21+ 9/21= 23/21

5 0
3 years ago
Simplify the following expression: 9 – 3x + (-6x) + 4
natima [27]

Answer:

-9x + 13

Step-by-step explanation:

9 -3x +(-6x) +4

you will add -3x+(-6x), then add 9+4

-3x+(-6x) = -9x   (a negative pus and negative = a negative

9 +4 = 13

-9x + 13

8 0
2 years ago
I need help with my quiz please help this is consuming me
Strike441 [17]

Answer:

30.62 ft^2

8 0
3 years ago
There were 75 roasted turkeys at Ally's Eats. Bob's Goods had 4/5 as many roasted turkeys as Ally's Eats. If Ally's Eats had 5/6
Vilka [71]

Answer:

Step-by-step explanation:

Roasted turkey in Ally's Eats = 75

Roasted turkey in Bob's goods  = 4 / 5 x  Ally's Eats

= (4 / 5) x 75

= 60

Roasted turkey in Charlotte's Market = N ( let )

Given

5/6  N  = 75

N = 6 / 5 x 75

= 90

Roasted turkey in Charlotte's Market  = 90 .

8 0
3 years ago
Other questions:
  • What is log15 2^3 rewritten using the power property?
    12·2 answers
  • 3÷5 long division steps​
    6·1 answer
  • HELP!!!!!14. 4e2x – 3 = 12 solve for x leave explination will mark brainliest
    7·1 answer
  • A park district has 25 elm trees and 20 oak trees to be planted. They are separating the trees for different areas. They want ea
    9·2 answers
  • Some friends decide to go to the aquarium together.Each person pays $7.50 to get in.They spend a total of $40 for the shark exhi
    10·1 answer
  • The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?
    15·2 answers
  • A typical human stomach can hold up to 4 cups of food. Write an inequality to represent how many cups of food a stomach can hold
    11·1 answer
  • Classify the triangle by its angles.<br> 75°, 75°, 30°<br> Acute<br> Right<br> Obtuse
    7·2 answers
  • Please help me, i need to finish
    12·1 answer
  • What theorem shows ACE = BCD
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!