True or False?<br> If, |al = |b|, then either a = b or a =

The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of

Slav-nsk [51]

The given equation is 125+37.52x=y, where y is the total amount of dollars and x is the number of weeks

This equation can be re-write as y=37.52x+125

Yes, this equation is in slope-intercept form y=mx+c having a slope, m=37.52 and the intercept, c=125.

Now, check the units,

In equation y=mx+c, units of all the three terms, i.e y, mx and c, are same.

As given that unit of y is dollar, so the unit of c is dollar and unit of $mx$ is also dollar.

As the unit of $mx$ is dollar, so the unit of m is dollar/unit of x.

As given that the unit of x is week, so the unit of m is dollar/week.

Therefore, the y-intercept, c= 125 dollars, and m=37.52 dollar/week.

The unit of the slope is dollars/week, so, the slope of the equation represents the rate of change of money in the wallet per week.

From the graph of the equation, y-intercept, c=125 dollars, is the value of y at x=0 which is the initial amount of money in the wallet.

4 0

3 years ago

PLEASE HELP ME!! IM CURRENTLY DOING A DIAGNOSTIC AND HAVE ONLY 15 MINS LEFT !!!!! A toilet paper roll has a diameter of 8x and a

drek231 [11]

Answer:

284/3 πx³

Step-by-step explanation:

Volume of a cylinder is expressed as shown:

V = πr²h

r is the radius of the cylinder

r = diameter/2

r = 8x/2

r = 4x

Height of the cylinder = 6x

Volume of the roll with out the hole

V = π(4x)²(6x)

V = 16x²π(6x)

V = 96πx³

The hole in the middle will be a solid sphere with diameter 2x (radius will be x)

Volume of the hole = 4/3πr³

Volume if the hole = 4/3πx³

Volume of the toilet paper roll = volume of the roll without a hole - volume of the hole

= 96πx³ - 4/3πx³

= (96-4/3)πx³

= 284/3 πx³

8 0

3 years ago

What is the completely factored form of x^2 – 16xy + 64y^2?

zhenek [66]

X² - 16xy + 64y²
= x² - 2*8xy + (8y)²
= (x - 8y)²

6 0

3 years ago

Are the following (correct , incorrect , linear , nonlinear ) 7n, n+(n+1)+(n+2) , 3n”2 squared “ , 2n+8, n(3 squared) div 2

Maslowich

<h3>Answers:</h3>

A) Correct. Linear.
B) Correct. Linear.
C) Incorrect. Nonlinear.
D) Incorrect. Linear.
E) Correct. Nonlinear.

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Explanation:

A)

The product of a number n and 7 is the same as n*7 or 7*n or 7n

The number next to the variable implies multiplication, so we don't have to write the asterisk or multiplication symbol.

This expression is linear because the exponent is 1. Think of 7n as 7n^1

Or you could graph it out and you would get a straight line.

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B)

n = first number

n+1 = number right after number n

n+2 = number right after n+1

This shows we have 3 consecutive numbers

The sum of this leads to 3n+3 which is linear.

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C)

Tina needs to square 3n to get (3n)^2. So she forgot to square the 3

(3n)^2 is equivalent to 9n^2

Both of which are nonlinear. They graph out a curved parabola which isn't a straight line. The exponent being larger than 1 is another indication of a nonlinear expression.

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D)

The sum of a number and 8 can be represented by n+8 where n is the unknown number. Then sticking "twice" out front means we double all of n+8. So we double it to get 2(n+8) which is equivalent to 2n+16

Tina mistakenly only doubled the n and not the 8

2(n+8) and 2n+16 are both linear. It might help to think of it like y = 2x+16 and to graph that out to get a straight line.

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E) Tina is correct here in dividing n^3 over 2

This is nonlinear since the exponent is larger than 1. It graphs out a curved cubic, rather than a straight line.

8 0

1 year ago

Write seventeen thousand and one hundred six thousand in standard form

Zigmanuir [339]

17000.106 is how you write the number above in standard form

6 0

3 years ago

True or False? If, |al = |b|, then either a = b or a = - b