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
Grace [21]
2 years ago
8

Write the quadratic equation where the roots are -1/3 and 5

Mathematics
1 answer:
STALIN [3.7K]2 years ago
7 0

Answer:

f(x) = 3x² - 14x - 5

Step-by-step explanation:

multiply the factors: (x + 1/3)(x - 5)

x² - 5x + 1/3x - 5/3

x² -14/3x - 5/3

multiply by 3 to eliminate fractions:

3x² - 14x - 5

You might be interested in
Please explain your answer step by step thankyou
MaRussiya [10]
65
40
75


Mark brainliest please
3 0
2 years ago
There are 207 students in the 9 classes at East Amwell Elementary School. At this rate, how many students are in 6 classes?
hoa [83]
Divide 9 into 207 then times that number by 6. You should get 138 :)x
3 0
3 years ago
Read 2 more answers
The photo is attached
aleksley [76]

D

using the double - angle identity

cos (2A) = cos² A - sin² A = 2cos² A - 1 = 1 - 2sin² A

the right side = 1 - 2sin² (112.5° ) with A = 22.5°

hence 2A = 2 × 22.5° = 45°

thus cos 45° = 1 - 2sin² ( 22.5°)


7 0
3 years ago
Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = x^2 - x + 1 text( on ) [1,8]; M = 21 c =
DanielleElmas [232]

Answer:

c = 5

Step-by-step explanation:

Given

f(c) = M

f(x) = x^2 - x + 1

Interval: [1,8]

M = 21

Required

Find c using Intermediate Value theorem

First, check if the value of M is within the given range:

f(x) = x^2 - x + 1

f(1) = 1^2 - 1 + 1

f(1) = 1

f(x) = 8^2 - 8 + 1

f(x) = 57

1 \le M \le 57

1 \le 21 \le 57

M is within range.

Solving further:

We have:

f(c) = f(x) = M

f(x) = 21

Substitute 21 for f(x) in f(x) = x^2 - x + 1

21 = x^2 - x + 1

Express as quadratic function

x^2 - x + 1 - 21  = 0

x^2 - x - 20  = 0

Expand

x^2 + 4x - 5x - 20

x(x+4)-5(x+4)=0

(x - 5)(x+4) = 0

x - 5 = 0 or x + 4= 0

x = 5 or x = -4

The value of x = -4 is outside the Interval: [1,8]

So:

x = 5

f(c) = f(x) = M

f(c) = f(5) = 21

By comparison:

c = 5

4 0
3 years ago
Which phrase describes the algebraic expression Three-fourths x + 2? three-fourths of a number plus two the quotient of four-thi
Lelechka [254]

Answer:

A

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Express the area of a rectangle as a function of the width w if the width of the rectangle is twice its length
    12·1 answer
  • In the triangle below x=? Round to the nearest tenth. Please help!
    13·1 answer
  • Round to the nearest hundredth 12.062
    9·2 answers
  • Solve for x.<br> x = log24
    15·1 answer
  • Cindy bought 20 stamps. This is 5 times the number of postcards that Yoshi bought. How many postcards did Yoshi buy
    9·2 answers
  • Solve y = x2 +7 for x.<br> O A. x= y-7<br> O B. X= tvy +7<br> O c. x=y+7<br> O D. X = +Vy-7
    6·1 answer
  • Factor completely x3 + 4x2 + 8x + 32. (x + 4)(x2 + 8) (x − 4)(x2 − 8) (x − 4)(x2 + 8) (x + 4)(x2 − 8)
    14·2 answers
  • What is the value of | -5 | - (-5)?
    5·1 answer
  • Pls help me will make you brainliest k no file too
    6·1 answer
  • What is the classification of AABC with vertices A(0, 0), B(4, 3), and C(4, -3) by
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!