All categories

2 years ago

Given the function f (x) = x² + 8x + 7, what are the zeros of f?

Mathematics

1 answer:

lutik1710 [3]2 years ago

4 0

Answer:

x = - 7, x = - 1

Step-by-step explanation:

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

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = + 7 and 7 + 1 = + 8 , then

x² + 8x + 7 = 0

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

You might be interested in

About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many would you expect to have a personal compu

Aleks04 [339]

This can be solved using a ratio. The ratio is: 13/20=x/60 this would then become 20x= 780 divide both sides by 20 and you get x=39. the answer is 39

5 0

3 years ago

Read 2 more answers

What is the equation of a circle with its center at (10,−4) and a radius of 2?

Dmitrij [34]

Equation of circle
(x-h)^2 + (y-k)^2 = r^2
=> (x-10)^2 + (y+4)^2 = 4 is the answer

7 0

3 years ago

Three times a number n plus 16

HACTEHA [7]

Answer:

3n+16

Step-by-step explanation:

three times: (3) a number n +16

(3)n+16 or 3xn+16

3n+16

4 0

3 years ago

An 85% chance that a flight on Broadway Airlines is on time out of a total of 600 flights. How many are expected to arrive on ti

Slav-nsk [51]

600 * 0.85 (the way to work out 85% of something) = 510 flights on time

8 0

3 years ago

There are (42)3 ⋅ 40 horses on a stud farm. What is the total number of horses on the farm?

Doss [256]

Answer:

5040

Step-by-step explanation:

When a number is in the Parenthesis that means you multiply. First you do 42*3 The answer would be 126. Since there is another Multiplication sign you just plug in your quotient (answer) into the problem. Now the equation is 126*40. 126*40=5040

6 0

3 years ago