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3 years ago

How can i write the slope-intercept form of this equation, y=-5/2(x-2)?

Mathematics

1 answer:

serg [7]3 years ago

6 0

Answer:

y= -5/2+5

Step-by-step explanation:

Slope intercept form y=mx+b

y= -5/2(x-2)

y= -5/2x+10/2

y=-5/2x+5

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A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

$0.25q+0.50h+1.00d=74$

$\displaystyle{h=\frac{3}{5}d+1}$

$q=4(d+h)$

Then, substitute q in the first equation with the expression from the third equation:

$0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74$

Next, substitute h in that equation with the expression from the second equation:

$\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}$

$2d+0.9d+1.5=74\\2.9d+1.5=74$

Solve for d, the number of one-dollar coins:

$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for d in the second equation to find h, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for d and 16 for h in the third equation to find q, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{16=\frac{3}{5}(25)+1}$

$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

$q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}$

6 0

3 years ago

Which decimal is equivalent to 8.617 with a bar over 17?

Ksenya-84 [330]

8.617 is the answer.

3 0

4 years ago

Read 2 more answers

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

You’ve seen two methods for finding the area of ΔABC—using coordinate algebra (by hand) and using geometry software. How are the

Phantasy [73]

AnsweYou’ve seen two methods for finding the area of ΔABC—using coordinate algebra (by hand) and using geometry software. How are the two methods similar? How are they different? Why might coordinate algebra be important in making and using geometry software?

Step-by-step explanation:

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2 years ago

Can any one help me with this problem

Feliz [49]

Answer:

im so sorry but i havent learned this yet sorry

Step-by-step explanation:

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4 years ago