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3 years ago

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Dahasolnce [82]3 years ago

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Answer:

a unit rate is a rate with one in the denominator

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Solve 25+10*(12-x)=5*(2x-7)

lions [1.4K]

<span>Simplifying 25 + 10(12 + -1x) = 5(2x + -7)
25 + (12 * 10 + -1x * 10) = 5(2x + -7)
25 + (120 + -10x) = 5(2x + -7)

Combine like terms: 25 + 120 = 145 145 + -10x = 5(2x + -7)

Reorder the terms:
145 + -10x = 5(-7 + 2x)
145 + -10x = (-7 * 5 + 2x * 5)
145 + -10x = (-35 + 10x)
Solving 145 + -10x = -35 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
145 + -10x + -10x = -35 + 10x + -10x
Combine like terms: -10x + -10x = -20x 145 + -20x = -35 + 10x + -10x

Combine like terms: 10x + -10x = 0 145 + -20x = -35 + 0 145 + -20x = -35
Add '-145' to each side of the equation. 145 + -145 + -20x = -35 + -145

Combine like terms: 145 + -145 = 0 0 + -20x = -35 + -145 -20x = -35 + -145

Combine like terms: -35 + -145 = -180 -20x = -180
Divide each side by '-20'.
x = 9
Simplifying x = 9.
Hope this helps you ! =')</span>

4 0

3 years ago

50 POINTS PLEASE HELP

omeli [17]

Answer:

the third one

Step-by-step explanation:

3 0

3 years ago

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Sam created a porch that was part wooden and part concrete, as shown in the figure below.

KonstantinChe [14]

Im pretty sure its a

4 0

4 years ago

Kyle wants to put fencing around his rectangular shaped yard. The length is 12.5 feet and the width is 8.4 feet. How much fencin

Kay [80]

Answer:

20.9

Step-by-step explanation:

The length and width would be 20.9 if you add then divide the formula give its different sometimes

3 0

3 years ago

Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of this function:

Maslowich

Answer:

Part 1) The vertex is the point (1,-9)

Part 2) The equation of the axis of symmetry is x=1

Part 3) The y-intercept is the point (0,-8)

Part 4) The x-intercepts are (-2,0) and (4,0)

Part 5) The graph in the attached figure

Step-by-step explanation:

we have

$h(x)=(x-1)^2-9$

This is a vertical parabola open upward

The vertex represent a minimum

Part 1) Find the vertex

The quadratic equation is written in vertex form

$y=a(x-h)^2+k$

where

(h,k) is the vertex of the parabola

so

The vertex is the point (1,-9)

Part 2) Find the axis of symmetry

The equation of the axis of symmetry of a vertical parabola is equal the the x-coordinate of the vertex

so

The equation of the axis of symmetry is

$x=1$

Part 3) Find the y-intercept

we know that

The y-intercept is the value of the function when the value of x is equal to zero

so

For x=0

$h(x)=(0-1)^2-9$

$h(0)=-8$

therefore

The y-intercept is the point (0,-8)

Part 4) Find the x-intercepts

we know that

The x-intercepts are the values of x when the value of the function is equal to zero

so

For h(x)=0

$(x-1)^2-9=0$

solve for x

$(x-1)^2=9$

square root both sides

$x-1=\pm3$

$x=1\pm3$

$x=1+3=4\\x=1-3=-2$

therefore

The x-intercepts are (-2,0) and (4,0)

Part 5) Plot the graph of the quadratic function

Plot the following points to graph the function

vertex (1,-9)

axis of symmetry x=1

y-intercept (0,-8)

x-intercepts (-2,0) and (4,0)

The graph in the attached figure

4 0

4 years ago

Read 2 more answers