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3 years ago

A(y+1)=b solve for y

Mathematics

2 answers:

Vlad [161]3 years ago

5 0

Answer:

divide both sides by a

(y+1)=b/a

open the brackets

y+1=b/a

minus 1

y=(b/a)-1

Tema [17]3 years ago

3 0

Answer:

$y = \frac{b - a}{a}$

Step-by-step explanation:

ay+a=b

ay=b-a

$y = \frac{b - a}{a}$

or simply b/a -1

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Estimate a 15% tip on a dinner bill of $49.35 by first rounding the bill amount to the nearest ten dollars.

inysia [295]

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Answer:

$7.50

Step-by-step explanation:

Rounded to the nearest $10, the $49.35 bill becomes $50.

We can find 10% of that amount by moving the decimal point to the left. 10% of $50 is $5.00.

Then 5% of $50 is half of 10%, so is $5/2 = $2.50.

The estimated tip of 15% is the sum of 10% and 5% of the bill, so is ...

15%($50) = 10%($50) +5%($50) = $5.00 +2.50 = $7.50

The estimated 15% tip is $7.50.

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3 years ago

Which steps will generate an expression equivalent to 20(x + 17)?

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Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Least common denominator?

Over [174]

Answer:

$\large\boxed{(s-2)(s+2)(s-3)=(s^2-4)(s-3)=s^3-3s^2-4s+12}$

Step-by-step explanation:

$s^2-4=s^2-2^2=(s-2)(s+2)\\\\\text{used}\ a^2-b^2=(a-b)(a+b)\\\\s^2-5s+6=s^2-2s-3s+6=s(s-2)-3(s-2)=(s-2)(s-3)\\\\\text{Therefore}\ LCD(s^2-4,\ s^2-5s+6)=(s-2)(s+2)(s-3)$

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3 years ago

Help! <br> Which expression is equivalent? <br> On edge

Ira Lisetskai [31]

Answer: Choice B

$x^{1/8}y^{8}$

======================================================

Explanation:

The two rules we use are

$(a*b)^c = a^c*b^c$

$(a^b)^c = a^{b*c}$

When applying the first rule to the expression your teacher gave you, we can say that:

$\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}$

Then applying the second rule lets us say

$\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}$

Therefore,

$\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}$

-------------

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

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To factor out the coefficient of a variable you divide it by the sum.

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