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yulyashka [42]
3 years ago
13

Zach paid $56.50 including sales tax for a book priced at $45. What was the sales tax rate?

Mathematics
1 answer:
kondaur [170]3 years ago
3 0

Answer:

25.56% or $11.50

Step-by-step explanation:

I took it and put it in a sales tax calc.

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The sum of b and 24 <br>18 less than x <br>an amount of a divided by 3​
telo118 [61]

Answer:

b+24

x-18

a/3

Step-by-step explanation:

3 0
3 years ago
2x^3-x^2+x-2 factorize​
bekas [8.4K]

Answer:

(x-1)(2x^2+x+2)

Step-by-step explanation:

Factorize:

f(x)=2x^3-x^2+x-2

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

\implies f(1)=2(1)^3-1^2+1-2=0

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

\implies  f(x)=(x-1)(ax^2+bx+c)

Expanding the brackets:

\implies  f(x)=ax^3+bx^2+cx-ax^2-bx-c

\implies  f(x)=ax^3+(b-a)x^2+(c-b)x-c

Comparing coefficients with the original polynomial:

\implies ax^3=2x^3 \implies a=2

\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1

\implies -c=-2 \implies c=2

Therefore:

\implies  f(x)=(x-1)(2x^2+x+2)

Cannot be factored any further.

4 0
2 years ago
Read 2 more answers
Pythagorean Theorem to solve for x. If the hypnoses is 10 m, and one leg is 6 m. Find the other leg x
lilavasa [31]

Answer:

The other leg X = 8m

Step-by-step explanation:

As per Pythagorean theorem-

Square of hypotenuse = sum of square of other two sides  of the triangle

Substituting the given values in above equation, we get -

10^2 = 6^2 + X^2\\100 - 36 = X^2\\X^2 = 64\\X = 8m

The other leg X = 8m

8 0
3 years ago
What is the equation of the line that passes through the point (6,−4) and has a slope of -1/6
Luda [366]

Answer:

y + 4 = (-1/6)(x - 6)

Step-by-step explanation:

Apply the point-slope formula here:  y - k = m(x - h) becomes

y + 4 = (-1/6)(x - 6)

6 0
4 years ago
Shelby made 5 quarts of juice for a picnic .She said that she made1 1/4 of juice/Explain Shelby's mistake
Svetach [21]
<span>1 gallon= 4 quarts 

She made 5 quarts of juice, that means that she has 1 gallon (4 quarts) and one quart left over!
which can be written as 1 1/4!
</span>
8 0
3 years ago
Read 2 more answers
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