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07.04.2021

X^2 + 9x + 14 I need help !

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24.06.2023, solved by verified expert

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x² + 9x + 14 can be factored as (x+2)(x+7)

Step-by-step explanation:

The general form is ax² + bx + c. If a=1, then you can start looking for two numbers that multiplied give c and added give b.

14 = 2*7

and

9 = 2+7

hence the easy factorization

(x+2)(x+7)

Keep in mind that it only works if a=1.

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Faq

Mathematics

HELP URGENTLY: Which equation defines a function with a zero at 7? A. y=x^2+7x+10 B. y=x^2+9x+14 C. y=x^2-9x+14 D. y=x^2-7x+10

Step-by-step answer

P Answered by PhD

option C

Step-by-step explanation:

the solutions to function x^2 -9x +14 are (x-7) and (x-2)

through the zero product property

(x-7)=0

x=7

and

(x-2)=0

x=2

Mathematics

HELP URGENTLY: Which equation defines a function with a zero at 7? A. y=x^2+7x+10 B. y=x^2+9x+14 C. y=x^2-9x+14 D. y=x^2-7x+10

Step-by-step answer

P Answered by PhD

option C

Step-by-step explanation:

the solutions to function x^2 -9x +14 are (x-7) and (x-2)

through the zero product property

(x-7)=0

x=7

and

(x-2)=0

x=2

Mathematics

Identify the roots of the equation x^2 = 9x − 14 by factoring. x = 2 or x = 7 x = −2 or x = 7 x = 2 or x = −7 x = −2 or x = −7

Step-by-step answer

P Answered by PhD

x = 7, x = 2

Step-by-step explanation:

Given

x² = 9x - 14 ( subtract 9x - 14 from both sides )

x² - 9x + 14 = 0 ← in standard form

(x - 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and splve for x

x - 7 = 0 ⇒ x = 7

x - 2 = 0 ⇒ x = 2

Mathematics

Identify the roots of the equation x^2 = 9x − 14 by factoring. x = 2 or x = 7 x = −2 or x = 7 x = 2 or x = −7 x = −2 or x = −7

Step-by-step answer

P Answered by PhD

x = 7, x = 2

Step-by-step explanation:

Given

x² = 9x - 14 ( subtract 9x - 14 from both sides )

x² - 9x + 14 = 0 ← in standard form

(x - 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and splve for x

x - 7 = 0 ⇒ x = 7

x - 2 = 0 ⇒ x = 2

Mathematics

Algebra 1, sem. 2; show work! a rectangular flower bed is enlarged so that its area increases by 14 m². the enlarged flower bed is a rectangle and its area is x^2+9x+14 m². which expressions represent the dimensions of the flower bed before the increase? *i already know the answer is x & x+9, i need to know why*

Step-by-step answer

P Answered by PhD

1

The enlarged flower bed is a rectangle and its area is x^2+9x+14 m²

So before its enlargement by 14 m², the area of the rectangle = x^2+9x

As you know, the area of rectangle is equal length times width

so area = x^2+9x

factors:

x^2+9x = x (x + 9)

So the dimensions are x and (x + 9)

Hope it helps.

Mathematics

Algebra 1, sem. 2; show work! a rectangular flower bed is enlarged so that its area increases by 14 m². the enlarged flower bed is a rectangle and its area is x^2+9x+14 m². which expressions represent the dimensions of the flower bed before the increase? *i already know the answer is x & x+9, i need to know why*

Step-by-step answer

P Answered by PhD

1

The enlarged flower bed is a rectangle and its area is x^2+9x+14 m²

So before its enlargement by 14 m², the area of the rectangle = x^2+9x

As you know, the area of rectangle is equal length times width

so area = x^2+9x

factors:

x^2+9x = x (x + 9)

So the dimensions are x and (x + 9)

Hope it helps.

Mathematics

Rewrite the function by completing the square. f(x)= x^{2} -9 x +14f(x)=x 2 −9x+14

Step-by-step answer

P Answered by PhD

5

$f(x)=(x-4.5)^{2}-6.25$ or $f(x)=(1/4)(2x-9)^{2}-6.25$

Step-by-step explanation:

we have

$f(x)=x^{2}-9x+14$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-14=x^{2}-9x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-14+4.5^{2}=x^{2}-9x+4.5^{2}$

$f(x)+6.25=x^{2}-9x+4.5^{2}$

Rewrite as perfect squares

$f(x)+6.25=(x-4.5)^{2}$

$f(x)=(x-4.5)^{2}-6.25$

$f(x)=(1/4)(2x-9)^{2}-6.25$

Mathematics

Ivanna is solving a quadratic equation. she wants to find value of x by taking the square root of both sides of the equation. which equation allows her to do this? a. x^2 + 14x + 49 = 16b. x^2 – 12x – 36 = 47c. x^2 + 49x + 14 = 42d. x^2 + 4x – 21 = 25

Step-by-step answer

P Answered by Master

17

I believe it's A. That's the only one that has a proper square root on both sides.

Mathematics

Rewrite the function by completing the square. f(x)= x^{2} -9 x +14f(x)=x 2 −9x+14

Step-by-step answer

P Answered by PhD

5

$f(x)=(x-4.5)^{2}-6.25$ or $f(x)=(1/4)(2x-9)^{2}-6.25$

Step-by-step explanation:

we have

$f(x)=x^{2}-9x+14$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-14=x^{2}-9x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-14+4.5^{2}=x^{2}-9x+4.5^{2}$

$f(x)+6.25=x^{2}-9x+4.5^{2}$

Rewrite as perfect squares

$f(x)+6.25=(x-4.5)^{2}$

$f(x)=(x-4.5)^{2}-6.25$

$f(x)=(1/4)(2x-9)^{2}-6.25$

Mathematics

Ivanna is solving a quadratic equation. she wants to find value of x by taking the square root of both sides of the equation. which equation allows her to do this? a. x^2 + 14x + 49 = 16b. x^2 – 12x – 36 = 47c. x^2 + 49x + 14 = 42d. x^2 + 4x – 21 = 25

Step-by-step answer

P Answered by Specialist

17

I believe it's A. That's the only one that has a proper square root on both sides.

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