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2 years ago

If a(x + 1) + b(x − 1) − 2 = 0 for all real x, then a =

Mathematics

1 answer:

jek_recluse [69]2 years ago

7 0

Answer:

D) 1

Step-by-step explanation:

using the distributive property we have ax+a+bx-b-2=0. because the equation is true for all real x, ax=-bx. this means a-b-2=0 and a=-b. a-b-2=0 becomes a=b+2. then we substitute a for -b and get -b=b+2 which becomes 2b=-2 so b=-1. since a=-b, a=1

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A rectangular yoga mat has a perimeter of 179 inches. The width of the mat is eight less than half the length. Find the width, i

lianna [129]

Answer:

The width is $24.5in$

Step-by-step explanation:

The perimeter of the rectangular yoga mat can be found using the formula;

$P=2l+2w$ .

$\Rightarrow 179=2l+2w...(1)$ .

It was given that the width of the mat is eight less than half the length.

$w=\frac{1}{2}l-8...(2)$

We put equation (2) into equation (1) to get;

$179=2l+2(\frac{1}{2}l-8)$ .

$\Rightarrow 179=2l+l-16$ .

$\Rightarrow 179+16=2l+l$ .

$\Rightarrow 3l=195$

Divide both sides by 3;

$l=65$

We put $l=65$ into equation 2 to get;

$w=\frac{1}{2}\times65-8$

$w=32.5-8$

$w=24.5in$

4 0

2 years ago

Ik the answer but can you explain how <br> Giving brainliest

natka813 [3]

Answer:

4/5 * 3/7

To multiply the fractions, multiply the numerators and denominators separately

4*3/5*7

multiply the numbers

12/5*7

multiply the numbers

12/35

hope that helps

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

1/3 cube root 27 <=w

Rainbow [258]

3³ = 27

∛27 = 3

1/3 of 3 = 1

x $\geq$ 1

5 0

3 years ago

Read 2 more answers

Amanda is shopping for clothing at a

Stels [109]

First you need to set up your equation.

If you read the question it states one equation IS THE SAME AMOUNT of another equation so here it is:

3x+7= 2x+18

You want to find out x in both equations so I’ll help step by step

1. Subtract 2x from both sides

This leaves you with x+7=18

2. Then subtract 7 on both sides

This leaves you with x=11

So x equals 11 for equations.

You can check by plugging in 11 in x. If you get 40 on both sides....

CONGRATS!! You did it

I hope this helped. Have a great day!

7 0

3 years ago

Please help me with this ASP

Mumz [18]

Answer:

the first one

Step-by-step explanation:

6 0

2 years ago