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2 years ago

An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.

Mathematics

2 answers:

Ratling [72]2 years ago

6 0

Answer:

To the nearest percentage, percent increase is 33%

Step-by-step explanation:

Mathematically;

Percentage increase = (new - old)/old * 100%

new = 48 hours

old = 36 hours

% increase = (48-36)/36 * 100%

12/36 * 100%

1/3 * 100%

= 33.33%

lara [203]2 years ago

6 0

Answer: 33% increase

Step-by-step explanation:

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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

Which property states that for all real numbers, x, y and z, if x = y and y = z, then x = z ?

Leto [7]

Answer:

The transitive property of equality

Step-by-step explanation:

The transitive property states if a=b and b=c then a=c. If two things are equal and one of those two things is equal to another thing, then they all must be equal.

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3 years ago

Given that

NeX [460]

Answer:

R = 4x + 8y

-8y = 4x - R

-8y = 4(4) - 32

-8y = 16 - 32

-8y = -16

we divide through by -8

so now

y = 2

Hope this will help

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3 years ago

Solve the equation.<br> -6p=48

malfutka [58]

Answer:

p=-8

Step-by-step explanation:

A negative multiplied by a negative is a positive.

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3 years ago

What are the coordinates of the endpoints of the midsegment for DEF that is parallel to DE

Nutka1998 [239]

Answer:

$\left(\dfrac{x_D+x_F}{2},\dfrac{y_D+y_F}{2}\right),$ $\left(\dfrac{x_E+x_F}{2},\dfrac{y_E+y_F}{2}\right).$

Step-by-step explanation:

Let points D, E and F have coordinates $(x_D,y_D),\ (x_E,y_E)$ and $(x_F,y_F).$

1. Midpoint M of segment DF has coordinates

$\left(\dfrac{x_D+x_F}{2},\dfrac{y_D+y_F}{2}\right).$

2. Midpoint N of segment EF has coordinates

$\left(\dfrac{x_E+x_F}{2},\dfrac{y_E+y_F}{2}\right).$

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3 years ago