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3 years ago

Subtract and simplify Show work (-5y^2-9y-4)-(-2y^2-y+8)

Mathematics

1 answer:

katrin2010 [14]3 years ago

3 0

Answer:

-3y^2-8y-12

Step-by-step explanation:

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The tuition costs, c, for a local community college are modeled by c(h) = 250 200h, where h represents the number of credit hour

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The number of credit hours a student have to take for the two tuition costs to be equal is 2.5 hours. Option A

<h3>Equation</h3>

local community college;

c(h) = 250 + 200h

local state University;

s(h) = 300 + 180h

Where,

number of credit hours taken = h

To have equal tuition in both schools,

equate both function

250 + 200h = 300 + 180h

200h - 180h = 300 - 250

20h = 50

h = 50/20

h = 2.5 hours.

The number of credit hours a student have to take for the two tuition costs to be equal is 2.5 hours.

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2 years ago

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3 years ago

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Mr. Anson bought 3 student tickets that each cost the same amount and an adult ticket that cost $12. In all, Mr. Anson spent mor

pav-90 [236]

Answer:

the student ticket costs $ 8

Step-by-step explanation:

Suppose the student tickets cost "x"

then $36= 3x+12(1)

36-12=3x

24=3x

x=24/3= $8

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4 years ago

Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 32 ft long. She wants to leave a uniform strip of floor aroun

Rainbow [258]

Answer:

The rug should be 15 ft wide and 28 ft long.

Step-by-step explanation:

I have attached a figure that represents the situation.

The the rug is $l$ by $h$ , the width of the strip of floor is $w$ .

We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that

$l*h=420$ <em>(this says the area of the rug must be 420 square feet)</em>

From the figure we see that

$l= 32-2w$

$h=19-2w$

Therefore,

$l*h=420\\\\(32-2w)(19-2w)=420$

We expand this equation and get:

$4w^2-102w+608=420\\\\4w^2-102w+188=0$

using the quadratic equation we get two solutions:

$w=2\\w=23.5$

since the second solution, namely $w=23.5$ , is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take $w=2$ to be our solution.

Now we find the dimensions of the rug:

$l=32-2(2)=28\\\\h=19-2(2)=15$

The rug is 15 ft wide and 28 ft long.

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4 years ago

Jori has 2 gallons of distilled water and uses 7/6 gallon in a science experiment. What fraction of a gallon does she have left?

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

6/6 = 1 gallon

12/6 = 2 gallons

12/6 - 7/6 = 5/6

5/6 should be the answer

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3 years ago