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olga55 [171]
2 years ago
12

Find the x-coordinate of the solution for the system of equations using the technique of SUBSTITUTION only.

Mathematics
1 answer:
nadezda [96]2 years ago
6 0

Answer:3

Step-by-step explanation:

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Y=6x-11<br> -2x-3y=-7 gnjjj
KiRa [710]

Answer:

x=2 y=1

Step-by-step explanation:

Solve the equations by substituting y=6x-11 into -2x-3y=-7.

-2x-3(6x-11)=-7

-2x-18x+33=-7

-20x+33=-7

-20x=-7-33

-20x=-40

x=2

To find y, substitute this value into the equation and solve for y.

y=6(2)-11

y=12-11

y=1

7 0
3 years ago
If the marginal propensity to consume is 0.9, what is the maximum amount that the equilibrium gross domestic product could chang
Katen [24]

Answer: There is change of $0.9 billion in government expenditures.

Step-by-step explanation:

Since we know that

Marginal propensity to consume tells that the rate at which there is change in consumption due to change in income.

According to our situation, MPC is the change in amount of gross domestic product due to change in government expenditure.

So, it becomes,

MPC=\dfrac{\text{Change in gross domestic product}}{\text{Change in government expenditure}}\\\\0.9=\dfrac{x}{1}\\\\x=0.9

Hence, there is change of $0.9 billion in government expenditures.

7 0
3 years ago
24) sin x = 1/3<br> Find cos x.
liq [111]

Answer:

\frac{2\sqrt{2} }{3}

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

\sqrt{9-1}=\sqrt{8}=2\sqrt{2}

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

\frac{2\sqrt{2} }{3}

6 0
3 years ago
Read 2 more answers
What's the domain (-2,6),(-5,-11),(3,7),(-5,0)
kodGreya [7K]

The domain is all the x values (range is y values). Remember to put the x values in numerical order.

So: Domain = {-5, -5, -2, 3}.

3 0
3 years ago
Read 2 more answers
Suppose f(x)= 4x/3+5 and g(x) = x/3 +1. solve for x when f(x)=g(x)
yuradex [85]
\bf \begin{cases}&#10;f(x)=\cfrac{4x}{3}+5\\\\&#10;g(x)=\cfrac{x}{3}+1&#10;\end{cases}\qquad f(x)=g(x)\implies \cfrac{4x}{3}+5=\cfrac{x}{3}+1

solve for "x" then
4 0
3 years ago
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