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3 years ago

Create a model to show that 2(2x+3y)=4x+6y

1 answer:

4 0

You would first do 2 multiplied by 2x and that would give you 4x, then you would do 2 multiplied by 3y which would give you 6y, you would put 4x under 2x and put 6y under 3y and bring down your addition symbol

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The following table shows the distance from school as a function time

kykrilka [37]

Answer:

27,0 the distance away from the school

Step-by-step explanation:

Apply the formula for equation of a straight line;

y=mx+c where c is the y intercept , and m is the gradient

From the graph, the slope is negative where speed decreases with increase in time

Find the gradient by applying the formula;

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

Taking y₁=24, y₂=20, x₁=9, x₂=12

Then;

$m=\frac{20-24}{12-9} =\frac{-4}{3}$

write the equation of the function as ;

y=mx+c, c=36( the y-intercept when x=0) hence the equation is;

$y=mx+c\\\\y=\frac{-4}{3}x+36$

To get x-intercept, substitute value of y with 0

$y=mx+c\\\\\\y=-\frac{4}{3} +36\\\\\\0=-\frac{4}{3} x+36\\\\\frac{4}{3}x =36\\\\\\4x=36*3\\\\\\x=108/4=27$

This means that the x-intercept is 27 ,and this means you will require 27 minutes to cover the whole distance to the school.

4 0

4 years ago

Read 2 more answers

A box contains 2 plain pencils and 2 pens. A second box contains 3 color pencils and 5 crayons. One item from each box is chosen

Lapatulllka [165]

Answer:

50% pen first box and 62.5% crayon from second box

Step-by-step explanation:

The first box contains 4 items, 2 of each. This means there are $\frac{2}{4}$ pens. This gives you a $\frac{2}{4}$ chance of picking out a pen. This can be written as 50%.

The second box contains 8 items, 3 color pencils and 5 crayons. This means $\frac{5}{8}$ of the contents are crayons, meaning you have a $\frac{5}{8}$ or 62.5% chance of picking a crayon.

*For working out the percentages, you should convert the fraction to a decimal and then multiply that by 100.

**This content involves fractions, decimals and percentages, as well as basic probability, which you may want to revise. I'm always happy to help!

8 0

3 years ago

Simplify the following polynomial expression.<br><br> (5x-7)(9x^2-4x-8)

mihalych1998 [28]

Your answer will be 70x^2 -138x+56

3 0

3 years ago

The probability that a 28-year-old male in the U.S. will d!e within one year is approximately 0.001395. If an insurance company

Fed [463]

Answer:

Step-by-step explanation:

Expected payment= 0.001395*20000= 27.9

The company could expect to make 135-27.9= 107.1 or 107

7 0

3 years ago

Area of the square 5.4ft and 4ft

belka [17]

Answer:

29.16 and 16

Step-by-step explanation:

A square's sides are always the same as another. So the area of a square with a side as long as 5.4 would be 5.4 squared. That equals to 29.16. The 4ft sided square is 4 squared. That equals to 16.

4 0

3 years ago