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3 years ago

What is the ordered pair for -4x+7=2y-3

Mathematics

2 answers:

matrenka [14]3 years ago

6 0

Add 3 to both sides to isolate the variables

Nonamiya [84]3 years ago

5 0

Answer:

(0,5) (1,3)(2,1)

Step-by-step explanation:

slope is -2

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One bucket of gravel has a mass of 7.05 KG. What is the mass of 20 buckets of gravel in kilograms?

schepotkina [342]

Answer:

D: 141 KG

Step-by-step explanation:

7.05 x 20 = 141

Just multiply the mass of the object by however many objects there are if they all weigh the same.

3 0

3 years ago

Divide. Round to the nearest tenth. <br> .16 ÷ .03220

grigory [225]

Answer: Rounded to the nearest tenth is 5

4.96894409 is the exact answer

7 0

3 years ago

Find the quotient for 63÷8 showing work

Nastasia [14]

63/8 is 7.875, or 7 remainder 7.

5 0

3 years ago

This is a question on my partial fractions homework, but no matter what I try I can't figure it out..

Ierofanga [76]

$\dfrac{x^2+x+1}{(x+1)^2(x+2)}=\dfrac{a_1x+a_0}{(x+1)^2}+\dfrac b{x+2}$
$\implies\dfrac{x^2+x+1}{(x+1)^2(x+2)}=\dfrac{(a_1x+a_0)(x+2)+b(x+1)^2}{(x+1)^2(x+2)}$
$\implies x^2+x+1=(a_1+b)x^2+(2a_1+a_0+2b)x+(2a_0+b)$
$\implies\begin{cases}a_1+b=1\\2a_1+a_0+2b=1\\2a_0+b=1\end{cases}\implies a_1=-2,a_0=-1,b=3$

So you have

$\displaystyle\int_0^2\frac{x^2+x+1}{(x+1)^2(x+2)}\,\mathrm dx=-2\int_0^2\frac x{(x+1)^2}\,\mathrm dx-\int_0^2\frac{\mathrm dx}{(x+1)^2}+3\int_0^2\frac{\mathrm dx}{x+2}$
$=\displaystyle-2\int_1^3\dfrac{x-1}{x^2}\,\mathrm dx-\int_0^2\frac{\mathrm dx}{(x+1)^2}+3\int_0^2\frac{\mathrm dx}{x+2}$

where in the first integral we substitute $x\mapsto x+1$ .

$=\displaystyle-2\int_1^3\left(\frac1x-\frac1{x^2}\right)\,\mathrm dx-\frac1{1+x}\bigg|_{x=0}^{x=2}+3\ln|x+2|\bigg|_{x=0}^{x=2}$
$=-2\left(\ln|x|+\dfrac1x\right)\bigg|_{x=1}^{x=3}-\dfrac23+3(\ln4-\ln2)$
$=-2\left(\ln3+\dfrac13-1\right)-\dfrac23+3\ln2$
$=\dfrac23+\ln\dfrac89$

4 0

3 years ago

Shelly has a certain amount of money. If she spent 12 dollars of it. She has 1/5 left of it. How much did shelly have originally

Lena [83]

Answer:

$14.40

Step-by-step explanation:

She spent 12 dollars and has 1/5 left.

This means $12 is 4/5 of her original money.

$12=4/5 of the original money

$12+ $[12•(4/5)]=4/5+ (1/5)

$12+$[2.4]=5/5

$14.4=5/5 of the original money

She originally had $14.40

3 0

3 years ago