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3 years ago

Find the sum and simplify

Mathematics

1 answer:

statuscvo [17]3 years ago

6 0

Answer:

[ ( 2 x^2 - x - 5 ) ] / [ ( x + 2 ) ( x - 3 ) ]

option c). is correct.

Step-by-step explanation:

( x + 1 ) / ( x + 2 ) + ( x - 1 ) / ( x - 3 )

= > [ ( x + 1 ) ( x - 3 ) + ( x - 1 ) ( x + 2 ) ] / [ ( x + 2 ) ( x - 3 ) ]

= > [ ( x^2 - 3 x + x - 3 + x^2 + 2 x - x - 2 ) ] / [ ( x + 2 ) ( x - 3 ) ]

= > [ ( 2 x^2 - x - 5 ) ] / [ ( x + 2 ) ( x - 3 ) ]

Hence we get required answer!

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How many liters are there in 6 gallons?

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Answer:

6 gallons = 3.785 liters

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6/10=0.60
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Does anyone have the answers for all?

Shkiper50 [21]

Answer and Step-by-step explanation:

1-6

What you can do is plug in 6 and start by doing the first machine first, then the second. If this doesn't work, do the second machine, then the first machine.

The order that works is second machine, then first machine.

Second Machine:

y = $(6)^{2} -6$ = 36 - 6 = 30

Plug into first machine now.

First Machine:

y = $\sqrt{(30) - 5} = \sqrt{25} = 5$

We see that the result is 5.

b. If we were to do the order of second machine, then first machine, we will never get a negative result (or -5 for that matter), due to the fact that you can't algebraically square root a negative number.

However, if we were to do the order of first machine, second machine, we can get a negative number. To get -5, we plug in 6 for x in the first machine, getting an answer of 1. We plug this into the second machine, getting 1^2 - 6, which results in -5.

1-7. The absolute value of a value is the positive version of that value.

a. |54| = 54

b. $-|-7\frac{3}{5}|$ = $-7\frac{3}{5}$

c. |3| - |-1| = 3 - 1 = 2

d. |2.2 - 5.13| = |-2.93| = 2.93

1-8.

| |

| |

| || || || || |

(5 boxes on each side)

| |

| |

| || || || || || |

(6 boxes on each side)

b. The amount of squares on each side of the figure increases by 1.

c. There would be 1 square, because we know that the pattern is there is 2 squares added to the next figure, 1 at each end. If we go back a figure, we take away 2 squares.

1-9.

a. -42 - 17 = -59

b. 8 - (-9) = 8 + 9 = 17

c. 8(-9) = -72

d. -42 ÷ (-7) = 6

e. -2(-3)(-4) = 6(-4) = 24

f. -18 - 7 = -25

g. $(-5)^{2}$ = 25

h. $-5^{2} = -(5)^2 = -(25)$ = -25

i. $\sqrt{49}$ = 7

1-10. x = 2 Plug 2 in for x, then solve.

a. y = 7 - 3(2) = 7 - 6 = 1

b. y = $(2)^2 -1$ = 4 - 1 = 3

c. y = $\frac{18}{2}$ = 9

#teamtrees #PAW (Plant And Water)

I hope this helps!

8 0

3 years ago

What is -3(3y-7)=21-9y

Nina [5.8K]

Answer:

the equation is equivalent, y is any number

Step-by-step explanation:

-3(3y-7) = 21-9y

-9y + 21 = 21 - 9y

-9y = -9y

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any number will satisfy y=y

6 0

4 years ago

I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

Jobisdone [24]

Answer:

$\frac{a(450-8a^2)}{4}$

is the volume in terms of side a

Step-by-step explanation:

Given that you I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per square foot, the material for the roof cost $2 per square foot, and the material for the sides cost $2.50 per square foot; and I spent $450 altogether on material for the shed.

Let a be the side of square and h be the height

Total cost of materials = cost for floor + cost for roof + cost for sides

= area of floor (4) + lateral area (2.50)+roof area (2)

$=4a^2+4ah+4a^2\\=8a^2+4ah = 450$ $h = \frac{450-8a^2}{4a}$

Now coming to volume

Volume = V = lbh = $a^2 h\\= a^2*\frac{450-8a^2}{4a} \\=\frac{a(450-8a^2)}{4}$

7 0

3 years ago