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3 years ago

Solving two-step inequalities is much like solving two-step equations. Use

Mathematics

1 answer:

svlad2 [7]3 years ago

7 0

Answer:

1) x>-3.76 2) x<45

Step-by-step explanation:

1) 5x+8.5>-10.3

Isolate the variable

Combine like terms/ subtract 8.5 from both sides

5x>-18.8

Divide by sides by 5

Remember, if we were dividing or multiplying by a negative number, we would switch the inequality sign, but here we do not.

2) 2x-10<80

Isolate the variable

Combine like terms/ add 10 to both sides

2x<90

Divide both sides by 2

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Divide: 1213 ÷ 9 = A)

kolezko [41]

It’s A

1213 divided by 9 is equal to 134.777778

So it is 134 R7

But if it’s rounded to the nearest then it is C.

4 0

3 years ago

"The definition of absolute value is: how far a number is from its opposite". What's the error put into words.

Yanka [14]

Answer:

correst sentence would be absolute value is how far number is from 0

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3 years ago

You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building

nordsb [41]

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

$h=\sqrt{x^2+y^2}$

The rate of change for the distance between you and the elevator is given by:

$\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}$

$-16=\frac{dh}{dy}*\frac{dy}{dt}$

$\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\$

Applying the chain rule:

$u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}$

Therefore, at x=300 and y = 500, dy/dt is:

$-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s$

The elevator is descending at 18.66 ft/s.

7 0

3 years ago

Please Help!! what value of b makes the trinomial below a perfect square?

Anna [14]

Remember, you take 1/2 of b and square it to get c

c=100
(b/2)^2=c
(b/2)^2=100
sqrt oth sides
b/2=+/-10
times both sides by 2
b=+/-20
it is 20 or -20

answe ris B
yo is right

4 0

3 years ago

Maria rotated the triangle 90 degrees clockwise about the origin. What is the new triangle?

padilas [110]

Answer:

A’B’C’

Step-by-step explanation:

Well if triangle ABC is rotated 90 degrees clockwise around the origin it will turn right to create triangle A’B’C’.

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3 years ago