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LUCKY_DIMON [66]
3 years ago
8

Classify the system of equations and identify the number of solutions.

Mathematics
1 answer:
mestny [16]3 years ago
6 0

Answer:

x = all real numbers

Step-by-step explanation:

first you need to solve the first equation to figure out what y is.

4x - y = 2

<em>add y to both sides of the equation</em>

4x = 2 + y

s<em>ubtract 2 from both sides of the equation</em>

4x - 2 = y

now that you know what y is, you can substitute it in the next equation.

3y = 12x - 6

3(4x - 2) = 12x - 6

<em>open the parenthesis </em>

12x - 6 = 12x - 6

<em>subtract 12x from both sides of the equation</em>

-6 = -6

regardless of what x is, -6 will always equal -6.

so, the answer is all real numbers.

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Plese help me thank you!
lilavasa [31]

Answer:

y=2x

Step-by-step explanation:

Every y value is double the x value on top.

y=6:
6 = 3 × ?

? = 2

y=10:

10 = 5 × ?

? = 2

And so on....

So the equation that represents this data is :

y=2x

8 0
2 years ago
A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years. With all else equal, what is th
irga5000 [103]

Answer:

The future value of this initial investment after the six year period is $2611.6552

Step-by-step explanation:

Consider the provided information.

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.

Future value of an investment: FV=P(1+r)^n

Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.

9% compounded semiannually for 6 years.

Therefore, the value of r is: r=\frac{0.09}{2}=0.045

Number of periods are: 2 × 6 = 12

Now substitute the respective values in the above formula.

FV=1540(1+0.045)^{12}

FV=1540(1.045)^{12}

FV=1540(1.69588)

FV=2611.6552

Hence, the future value of this initial investment after the six year period is $2611.6552

6 0
3 years ago
Supply function: 2p-q-63 and the demand function: (p+30)(q+25)=2584. What is the market equilibrium point?
KATRIN_1 [288]
Equilibrium is point where supply = demand

Solve with substitution.

From supply equation ---> q = 2p - 63

Sub into demand equation ---> (p+30)(2p-63+25) = 2584

Solve for p:
2p^2 +22p - 1140 = 2584
p^2 + 11p -1862 = 0
(p+49)(p-38) = 0
p = 38

Sub back into supply equation to find q
q = 2(38) - 63
q = 13

Answer: Equilibrium is 13 units sold at price of $38.
6 0
3 years ago
Gambler is deciding whether or not to take a bet. she must pay $40 to take the bet, but if she wins, she willprofit$225.theproba
Vesnalui [34]
Expected value of the bet is
the sum of the products of value of outcome and its probability,
less the amount paid to place the bet.

Outcomes value probability
win            225    1/4
lose               0    3/4
cost of bet = 40

So expected value of bet
E[X]=225*(1/4)+0*(3/4)-40
=56.25-40
=16.25

This means that in the long run, gambler will win, since the expected value is positive.  (does NOT mean she will win in the next bet!)
3 0
3 years ago
What is the height of the pennant? Recall the formula
ANTONII [103]

Answer:

I think it is 30 inches

Step-by-step explanation:

4 0
2 years ago
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