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laila [671]
3 years ago
5

4x+3y=20 2x+y=7 How do I solve this? I forgot how to do it :/ also no answer choice

Mathematics
1 answer:
Crank3 years ago
6 0

So for this, I will be using the substitution method. Firstly, subtract both sides in the second equation by 2x: 4x+3y=20\\ y=7-2x

Next, substitute y in the first equation with 7-2x, then solve for x from there:

4x+3(7-2x)=20\\ 4x+21-6x=20\\ -2x+21=20\\ -2x=-1\\ x=\frac{1}{2}

Now that we got x, substitute it into either equation to solve for y:

4*\frac{1}{2}+3y=20\\ 2+3y=20\\ 3y=18\\ y=6\\ \\ 2*\frac{1}{2}+y=7\\ 1+y=7\\ y=6

In short, x = 1/2 and y = 6.

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Evaluate using order of operations.<br> 9(8 – 11) – 3(-5)
yulyashka [42]

Answer:

-12

Step-by-step explanation:

9(8-11)-3(-5)

First do multiplication.

72-99+15

And then, do the rest of the equation from left to right.

-27+15

Answer that question to get:

-12

Hope this helped! :)

8 0
2 years ago
Solve each equation (x+8)(x-2)=-9
Nesterboy [21]
X=1, x=-7 would be the correct answer.
5 0
3 years ago
Read 2 more answers
Ned created a video that was originally 40 minutes
Zanzabum

Answer:

36.8 minutes or 36 minutes 48 seconds

Step-by-step explanation:

8 percent of 40 is 3.2

(.08 times 40)

40 minus 3.2 is 36.8 :)

(.8 times 60 is 48)

3 0
3 years ago
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Evaluate 7-3s for s= -3​
OleMash [197]

Answer:

16

Step-by-step explanation:

Substitute s = - 3 into the expression

7 - 3(- 3) = 7 + 9 = 16

5 0
2 years ago
Find the rate of change of f(x, y, z) = xyz in the direction normal to the surface yx2 + xy2 + yz2 = 3 at (1, 1, 2).
Paladinen [302]

Answer:

Rate of change = 18/√74

Step-by-step explanation:

The rate of change of f at x_o in the direction of the unit vector v is given by: ∇f(x_o) × v

Now, for us to get the direction of the unit vector, since we are told that f(x, y, z) = xyz in the direction normal to the surface yx² + xy² + yz² = 3, we will use; g(x, y, z) = yx² + xy² + yz² = 3 and k =3 to give;

∇g(x,y,z) = (2xy + y², (x² + 2xy + z²), 2yz)

So;

∇g(1, 1, 2) = (2(1 × 1) + 1²) , (1² + 2(1 × 1) + 2²), 2(1 × 2))

This gives;

∇g(1, 1, 2) = (3, 7, 4)

Now,

||∇g(1, 1, 2)|| = √(3² + 7² + 4²)

||∇g(1, 1, 2)|| = √74

Normal vector would be given by the formula;

v = [∇g(1, 1, 2)]/[||∇g(1, 1, 2)||]

Thus;

v = (3, 7, 4)/√74

Let's not forget that our ∇f(1, 1, 2) = (1, 1, 2)

Thus, rate of change is given by;

∇f(1, 1, 2) × v = (1, 1, 2) × (3, 7, 4)/√74

This gives;

Rate of change = [(1 × 3) + (1 × 7) + (2 × 4)]/√74 = 18/√74

7 0
3 years ago
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