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Solve for $y$ . $\newline$ $(y + 4)(y - 1) = 0$ $\newline$ Write your answers as integers or as proper or improper fractions in simplest form. $\newline$ $y =$ _ or $y =$ _

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Solve a quadratic equation using the zero product property

Full solution

Q. Solve for

y

.

\newline

(y + 4)(y - 1) = 0

\newline

Write your answers as integers or as proper or improper fractions in simplest form.

\newline

y =

_____ or

y =

_____

Apply Zero Product Property: Apply the zero product property to the equation $(y + 4)(y - 1) = 0$ . According to this property, if the product of two factors is zero, then at least one of the factors must be zero. $\newline$ Set each factor equal to zero separately. $\newline$ $y + 4 = 0$ or $y - 1 = 0$
Solve for $y + 4$ : Solve the first equation $y + 4 = 0$ for $y$ . $\newline$ Subtract $4$ from both sides of the equation to isolate $y$ . $\newline$ $y = -4$
Solve for $y - 1$ : Solve the second equation $y − 1 = 0$ for $y$ . Add $1$ to both sides of the equation to isolate $y$ . $y = 1$

More problems from Solve a quadratic equation using the zero product property

Question

Solve by completing the square.

\newline

m^2 - 10m - 29 = 0

\newline

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

\newline

`m` = ____ or `m` = _____

Posted 8 months ago

Question

g(x)

g(x)

is the translation

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f(x)=x^2

\newline

Write your answer in the form

a(x–h)^2+k

a

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\newline

g(x)=

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Question

What is the range of this quadratic function?

\newline

y = x^2 - 4x + 4

\newline

\newline

\left\{y \mid y \geq 2\right\}

\newline

\left\{y \mid y \leq 0\right\}

\newline

\left\{y \mid y \geq 0\right\}

\newline

\text{all real numbers}

Posted 5 months ago

Question

Write the equation of the parabola that passes through the points

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. Write your answer in the form

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a

p

q

are integers, decimals, or simplified fractions.

\newline

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\newline

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Question

h

\newline

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\newline

\newline

Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

\newline

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\newline

Posted 5 months ago

Question

Write a quadratic function with zeros

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\newline

Write your answer using the variable

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\newline

f(x) = \_\_\_\_\_

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Question

Find the equation of the axis of symmetry for the parabola

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\newline

Simplify any numbers and write them as proper fractions, improper fractions, or integers.

\newline

\underline{\hspace{3cm}}

Posted 4 months ago

Question

g(x)

g(x)

is the translation

8

f(x) = x^2

\newline

Write your answer in the form

a(x – h)^2 + k

a

h

k

\newline

g(x) =

\newline

Posted 4 months ago

Question

x

\newline

x^2 = 1

\newline

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

\newline

Posted 5 months ago

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Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant