after 1 year on the job M got a raise from $10.50 to $11.13 per our. What was the percent increase of her hourly wage

PLEASE HELP! I will give you the brainiest and A LOT of points!

Alja [10]

Answer:The solution is in the attached file

Step-by-step explanation:

7 0

3 years ago

Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers

lukranit [14]

Answer:

(x + 2)^2 - 11.

Step-by-step explanation:

f(x) = x^2 + 4x - 7

Now x^2 + 4x = (x + 2)^2 - 4 so we have:

f(x) = (x + 2)^2 - 4 - 7

f(x) = (x + 2)^2 - 11.

4 0

3 years ago

What is the SLOPE of a line PERPENDICULAR to the Given equation<br> y = 1/3x + 1

elixir [45]

Answer:

slope for perpendicular line is -3

Step-by-step explanation:

just flip the reciprocal for the slope and change the positive/negative sign

5 0

3 years ago

A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down t

frosja888 [35]

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y

since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

$\mathbf{L = 3x - 2( \dfrac{1000000}{x})}$

$\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}$

$\mathbf{ x^2= \dfrac{2000000}{3} }$

$\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }$

$\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}$

Now, if we replace the value with equation (1), then y will be:

$\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\ \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}$

$\mathbf{x =500\sqrt{6}}$

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

$\mathbf{L = 3( \dfrac{1000 \sqrt{6}}{3}) + 2(500 \sqrt{6})}$

$\mathbf{L =1000 \sqrt{6} + 1000 \sqrt{6}}$

$\mathbf{L =2000 \sqrt{6} }$

$\mathbf{L \simeq 4899 \ ft}$

Learn more about the area of a rectangle here:

brainly.com/question/25292087

6 0

2 years ago

The ratio of square H’s length to square I’s length is 3 : 5. If the length of square H is 18 meters, what is the perimeter of s

aleksandr82 [10.1K]

B. 54 meters

first you want to set up your ratios and cross multiply to figure out the number to square l's ratio. which would be 10.8.

then use formula for perimeter
2(l)+2(w)=9
2(10.8)+2(18)=53.6-rounded =54<span />

6 0

3 years ago