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Alexeev081 [22]
3 years ago
10

3x+4y=12 and 2x-y=8. Which ordered pair is a solution to the system of equations?

Mathematics
1 answer:
Lyrx [107]3 years ago
3 0

Answer:

Step-by-step explanation:

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Can I get an assist...
DerKrebs [107]

Answer:

4; y-5=2(x+3)

Step-by-step explanation:

Question 1: 8y-18=14

8y=32

y=4

Question 2: y-5=2(x-(-3)

y-5=2(x+3)

3 0
3 years ago
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Combine like terms. What is a simpler form of the expression? <br><br> -3(-4y + 3) + 7y
Yakvenalex [24]
19y-9 is a simpler form of this expression. You can use distributive property to get rigid the brackets (multiply -3 by -4y and 3) , then your expression looks like 12y-9+7y. You then combine like terms to get 19y-9.
3 0
3 years ago
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2. Harry just deposited $1500 into a savings account giving 6% interest compounded quarterly.a) How much will be in the account
Studentka2010 [4]

The formula for compound interest is:

\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{where,} \\ A=\text{ Final amount} \\ r=\text{ Interest rate} \\ n=\text{ Number of times interest applied per period} \\ t=\text{ Number of time period elapsed} \\ P=\text{ Intial principal balance} \end{gathered}

Given data:

\begin{gathered} P=\text{ \$1500} \\ r=6\text{ \%}=0.06 \\ n=4\text{ times (compounded quarterly)} \end{gathered}

a. After ten years, that is t = 10 years, the amount in the account will be

\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times10} \\ A=\text{ }1500(1+0.015)^{40} \\ A=\text{ }1500(1.015)^{40} \\ A=\text{ \$2721.03} \end{gathered}

b. After twenty years, that is t = 20 years, the amount in the account will be:

\begin{gathered} A=1500(1+\frac{0.06}{4})^{4\times20} \\ A=1500(1.015)^{4\times20} \\ A=1500(1.015)^{80} \\ A=\text{ \$}4935.99 \end{gathered}

c. The time it takes for Harry's initial account value to double will be:

\begin{gathered} A=2\text{ x initial value = 2 }\times\text{ \$1500 = \$3000} \\ 3000=1500(1.015)^{4t} \\ (1.015)^{4t}=\frac{3000}{1500} \\ (1.015)^{4t}=2 \\ \text{ Find the logarithm of both sides} \\ \ln (1.015)^{4t}=\ln 2 \\ 4t=\frac{\ln 2}{\ln 1.015} \\ 4t=46.56 \\ t=\frac{46.56}{4}=11.64 \end{gathered}

Therefore, the time it takes Harry's initial account to double is approximately 11 years

8 0
1 year ago
Find the point on the graph of y=x^2 where the tangent line has slope m= - 1/3
babunello [35]

Here the graph y=x²

Taking the 1st derivative here of the y it will be

y1 = 2x

m=-1/3

That is m=2x

so x=-1/6

so y=(-1/6)²=1/36

So the coordinate of point will be=(-1/6 , 1/36)

8 0
3 years ago
Four students are playing a math game at home. One of the math
BigorU [14]

Kayla wrote an equation.
William wrote an inequality.
They both have solutions.
Kayla's solution is  x=4 .
William's solution is   x > -2.5 .

Brandon and Alice wrote expressions. 
Those are just numbers, that depend on the value of 'x'.

7 0
3 years ago
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