4x + 8y = 20<br> -4x + 2y = -30 solve using elimination

it costs $2 to spin the spinner shown below. if you land on an even number, you win $10. if you land on an odd number, you get $

Svetlanka [38]

Answer:

$1

Step-by-step explanation:

because there is more odd numbers then even

4 0

3 years ago

Read 2 more answers

Compute:<br> 3^(log3 16) - 5^(log5 11)

Nataliya [291]

Answer:

I feel bad for you

Step-by-step explanation:

sorry.....

3 0

3 years ago

Troy cut a 100 foot rope into 3 pieces. The first piece is 43 foot long. The second piece is at least 22 feet long, but no great

Inessa05 [86]

Answer:

x=4

Step-by-step explanation:

Let he first piece be x the second be 3x and the very last one be 7x + 2

Add all the pieces together and you ought to get the length of the rope which is 46 ft

So your equation would be

x + 3x + 7x + 2 = 46

11x = 44

x = 44 / 11

x = 4

so the 3 pieces are 4 , 12 and 30ft

4 0

4 years ago

(HURRY! I'M BEING TIMED)Write the partial fraction decomposition of the rational expression.

Aleonysh [2.5K]

Answer:

The partial fraction decomposition is $\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{50}{x + 1}+\frac{-29}{\left(x + 1\right)^{2}}+\frac{-54}{x + 2}$ .

Step-by-step explanation:

Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.

To find the partial fraction decomposition of $\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}$ :

First, the form of the partial fraction decomposition is

$\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{A}{x + 1}+\frac{B}{\left(x + 1\right)^{2}}+\frac{C}{x + 2}$

Write the right-hand side as a single fraction:

$\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{\left(x + 1\right)^{2} C + \left(x + 1\right) \left(x + 2\right) A + \left(x + 2\right) B}{\left(x + 1\right)^{2} \left(x + 2\right)}$

The denominators are equal, so we require the equality of the numerators:

$- 4 x^{2} + 13 x - 12=\left(x + 1\right)^{2} C + \left(x + 1\right) \left(x + 2\right) A + \left(x + 2\right) B$

Expand the right-hand side:

$- 4 x^{2} + 13 x - 12=x^{2} A + x^{2} C + 3 x A + x B + 2 x C + 2 A + 2 B + C$

The coefficients near the like terms should be equal, so the following system is obtained:

$\begin{cases} A + C = -4\\3 A + B + 2 C = 13\\2 A + 2 B + C = -12 \end{cases}$

Solving this system, we get that $A=50, B=-29, C=-54$ .

Therefore,

$\frac{- 4 x^{2} + 13 x - 12}{\left(x + 1\right)^{2} \left(x + 2\right)}=\frac{50}{x + 1}+\frac{-29}{\left(x + 1\right)^{2}}+\frac{-54}{x + 2}$

7 0

3 years ago

Trey Gorman invests $5,000 in a 1-year certificate of deposit that earns interest at an annual rate of 4% compounded monthly. Th

devlian [24]

The amount of interest for $5000 investment that earns 4% per year such that 1$ is $1.040742 a the end of the year will be as follows:
A=P(1+r/100)^n
P=principple
r=rate
n=time
Thus
Amount at the end of the year will be:
A=5000(1+4/100)^1=5200
thus interest earned will be:
5200-5000
=$200

3 0

3 years ago

4x + 8y = 20 -4x + 2y = -30 solve using elimination