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3 years ago

Find the difference

Mathematics

1 answer:

Makovka662 [10]3 years ago

7 0

Answer:

-5n^2 +2n +5

Step-by-step explanation:

( -4n^2 +2n) - (n^2 -5)

Distribute the minus sign

( -4n^2 +2n) - n^2 +5

Combine like terms

-5n^2 +2n +5

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Jessica made plans to weave a rectangular jute rug, but she needs to update the plans to change the dimensions of the rug. The o

loris [4]

Answer:

Length of rug in original design is 36 inches .

Width of rug in original design is 60 inches .

The problem says that the new design has length 3x inches longer and x inches wider than the rug in the original plans .

New length of rug would be 3x inches longer than the original design which is 36 inches .

Thus new length of rug is ( 3x + 36 ) inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is ( x + 60 ) inches .

Area of rectangle is Length * Width

Area of new rug is ( 3x + 36 ) * ( x + 60 )

We distribute the terms using FOIL method .

( 3x + 36 ) *( x + 60 ) = 3x ( x + 60 ) + 36 ( x + 60 )

= 3x² + 3x * 60 + 36 x + 36 * 60

= 3x² + 180 x + 36 x + 2160

Combining like terms , 3x² + 216 x + 2160

Thus the area of the rug with the new dimensions is

( 3x + 36) ( x + 60 ) = 3x² + 216 x + 2160 .

7 0

3 years ago

Read 2 more answers

Which of the following is the correct graph of the solution to the inequality −18 > −5x + 2 ≥ −48?

monitta

Answer:

Option D. A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left

Step-by-step explanation:

we have

$-18 > -5x+2 \geq -48$

Divide the compound inequality into two inequalities

$-5x+2 \geq -48$ -----> inequality A

$-5x \geq -48-2$

$-5x \geq -50$

Multiply by -1 both sides

$5x \leq 50$

Divide by 5 both sides

$x \leq 10$

The solution of inequality A is the interval ----> (-∞,10]

All real numbers less than or equal to 10

$-18 > -5x+2$ -----> inequality B

$-18-2 > -5x$

$-20 > -5x$

Multiply by -1 both sides

$20 < 5x$

Divide by 5 both sides

$4 < x$

Rewrite

$x > 4$

The solution of the inequality B is the interval ----> (4,∞)

All real numbers greater than 4

The solution of the compound inequality is

(-∞,10] ∩ (4,∞)= (4,10]

All real numbers greater than 4 and less than or equal to 10

A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left

8 0

3 years ago

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Can you guys help me out pls

SCORPION-xisa [38]

Answer:The answer is b.

Step-by-step explanation:

“Comps,” or comparable sales, is a term anyone on either side of a real estate transaction should know well. It refers to homes located in the same area and very similar in size, condition and features as the home you are trying to buy or sell.

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3 years ago

PLEASE I NEED THIS DONE BY MIDNIGHT HELP

Readme [11.4K]

Answer:

Khalid’s rate is ___140_ miles per hour. Jesse’s rate is _150___ miles per hour. So, _Jesse’s___ train traveled at a faster speed.

Step-by-step explanation:

The general equation of a straight line is

y = mx + b

for y = 150x

We have the slope as 150

This is 150 miles/hour

This relates to Jesse’s train speed

for Khalid, we have his own speed obtainable from the graph

The speed is simply the slope of the graph

We proceed to select two points from the graph and find the slope

The points are; ((1,140) and (4,560)

Mathematically, the slope will be;

m = (y2-y1)/(x2-x1)

m = (560-140)/(4-1) = 420/3 = 140 miles per hour

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3 years ago

On a coordinate plane, a triangle has points F (3, 4), D (5, negative 3), and E (1, negative 2).

FrozenT [24]

The coordinates of image of vertex D after a reflection across the x-axis is (5, 3).

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3 years ago

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