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Expand these expressions to remove the grouping symbols.

Expand these expressions to remove the grouping symbols.

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Identify direct variation and inverse variation

Full solution

Q. Expand these expressions to remove the grouping symbols.

Expand Expression $1$ : Expression $1$ : $3x + 4)(2x - 5)(\newline$ Use the distributive property to expand: \$3x \times 2x\) + \(3x \times -5\) + \(4 \times 2x\) + \(4 \times -5\).
Calculate Terms: Calculate each term: \(6x^2 - 15x + 8x - 20\).
Combine Like Terms: Combine like terms: \(6x^2 - 7x - 20\).
Expand Expression \(2\): Expression \(2\): \(5(y - 3) - 2(y + 4)\)\(\newline\)Use the distributive property to expand: \(5y - 15 - 2y - 8\).
Combine Like Terms: Combine like terms: \(3y - 23\).

More problems from Identify direct variation and inverse variation

Question

In a direct variation,

y = 6

x = 2

. Write a direct variation equation that shows the relationship between

x

y

\newline

Write your answer as an equation with

y

first, followed by an equals sign.

Posted 2 months ago

Question

y

varies directly with

x

y = 12

x = 6

y

x = 4

\newline

Write and solve a direct variation equation to find the answer.

\newline

y =

Posted 1 month ago

Question

Which equation shows inverse variation?

\newline

\newline

(\frac{x}{36}) = y

\newline

yx = -74

Posted 2 months ago

Question

y

varies inversely with

x

y = 1

x = 4

y

x = 2

\newline

Write and solve an inverse variation equation to find the answer.

\newline

y =

Posted 1 month ago

Question

What is the value of

\frac{x^{2}}{y^{4}}

x=8

y=2

Posted 10 days ago

Question

(x+4)(2 x-a)=0

\newline

In the given equation,

a

is a constant. If the equation has the solutions

x=4

x=-4

, what is the value of

a

Posted 2 months ago

Question

(2 x+5)(-m x+9)=0

\newline

In the given equation,

m

is a constant. If the equation has the solutions

x=-\frac{5}{2}

x=\frac{3}{2}

, what is the value of

m

Posted 2 months ago

Question

(4 x+3)-(5 x-7)=a x+b

\newline

In the given equation,

b

is a constant. What is the value of

b

Posted 1 month ago

Question

y=\frac{29}{8} x-\frac{2}{3}

\newline

The given equation is graphed in the

x y

-plane. What is the slope of the line?

Posted 1 month ago

Question

a t^{2}+\frac{7}{2} t-4=0

\newline

The given equation has solutions at

t=-8

t=1

. What is the value of the constant

a

Posted 1 month ago