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marusya05 [52]
2 years ago
15

Someone please help me with problem #7 !!!

Mathematics
1 answer:
ser-zykov [4K]2 years ago
3 0

Answer: b and d

Step-by-step explanation:

Since the roots are x=2 and x=6, we can write the equation as

f(x)=a(x-2)(x-6)

Substituting in the coordinates of the vertex,

-4=a(4-2)(4-6)\\\\-4=-4a\\\\a=1

So, the equation is f(x)=(x-2)(x-6)

On expanding, we get f(x)=x^2 - 8x+12

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Remember that cents has a decimal when put in an equation.
250(x + 11) + 250x = 4250
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500x + 2750 = 4250
500x = 1500
x = 3 cents (pencils)
x+11 = 14 cents (pens)
4 0
3 years ago
Solve this plsssssss
Naddik [55]

Answer:

On the x-axis, plot to the left at -4.

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4 0
3 years ago
The local bowling team won 13 out of 20 other games that you what percent of the games did the team win
Olin [163]
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5 0
3 years ago
Read 2 more answers
Please solve each of the following by factoring!
Oxana [17]

Answer:

see explanation

Step-by-step explanation:

(a)

x² - 36 = 0 ← is a difference of squares and factors as

(x - 6)(x + 6) = 0

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 6 = 0 ⇒ x = 6

(b)

x² - 5x + 4 = 0

consider the product of the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)

the factors are - 1 and - 4 , since

- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then

(x - 1)(x - 4) = 0 ← in factored form

equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 4 = 0 ⇒ x = 4

(c)

x² - 2x = 3 ( subtract 3 from both sides )

x² - 2x - 3 = 0 ← in standard form

consider the product of the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)

the factors are + 1 and - 3 , since

1 × - 3 = - 3 and 1 - 3 = - 2 , then

(x + 1)(x - 3) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

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(d)

6x² - 11x - 10 = 0

consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 6 × - 10 = - 60 and sum = - 11

the factors are + 4 and - 15

use these factors to split the x- term

6x² + 4x - 15x - 10 = 0 ( factor the first/second and third/fourth terms )

2x(3x + 2) - 5(3x + 2) = 0 ← factor out (3x + 2) from each term

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

equate each factor to zero and solve for x

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

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

6 0
2 years ago
Can i please get some help
STALIN [3.7K]

Answer: number 5 is A number 6 is B

Step-by-step explanation:

8 0
3 years ago
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