-11x-7y=-56 slope intercept

Pls work out and give detail. Use the slope formula to determine the slope of each line.

kolbaska11 [484]

Answer:

$m=0$

Step-by-step explanation:

Given

See attachment

Required

Determine the slope of the line

From the attachment, we have the following points

$(x_1,y_1) = (-4,1)$

and

$(x_2,y_2) = (3,1)$

The slope m is then calculated using:

$m = \frac{y_2- y_1}{x_2 - x_1}$

Substitute values for the x's and y's

$m = \frac{1-1}{3 - (-4)}$

$m = \frac{1-1}{3 +4}$

$m = \frac{0}{7}$

$m=0$

Hence, the slope is 0

7 0

3 years ago

Your employer pays 75% of your health insurance premium. If the annual premium is $2530, and you are paid weekly, how much is de

MAVERICK [17]

** Calculation is based on 52 weeks per year.

$\smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile \smile$

$\boxed {Annual \ Premium \ = \$2530}$

Your employer is paying 75% of the Premium:
$\boxed {75\% \ of \ \$2530 \ = \ 0.75 \times 2530\ = \ \$1897.50}$

Amount you need to pay:
$\boxed { \$2530 - \$1897.50 = \$632.50}$

Amount needed to be deducted weekly from paycheck:
$\boxed{ \$632.50 \div \ 52 = \$12.16}$

$\Bigg( \boxed{ \boxed {Ans: \$12.16 }} \Bigg)$

5 0

4 years ago

Read 2 more answers

An expression 20x + 35y What is the greatest common factor

jekas [21]

Answer:

5

Step-by-step explanation:

$20x = 2 \times 2 \times 5 \times x\\ 35y = 5 \times 7 \times y$

GCF = 5

8 0

3 years ago

What is the simplified value of 5x to the power of 3 over 10x squared

andrey2020 [161]

5x^3/10x^2
*Simplify 5/10 to 1/2
*simplify the exponent so that x^1 is on top
1x/2
FINAL ANSWER:
x/2

4 0

3 years ago

A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.

tatyana61 [14]

Answer:

(a) $g(n)=0.05\cdot 2^n$

(b) $g^{-1}(n)=\log_{2}20g(n)$

(c)43 times

Step-by-step explanation:

Part A

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

$g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n$

Part B

$g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)$

Part C

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

$g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43$

You must fold the paper 43 times to make the folded paper have a thickness that is the same as the distance from the earth to the moon.

3 0

3 years ago