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Kazeer [188]
2 years ago
6

Solve this system of equations using elimination with multiplication

Mathematics
1 answer:
romanna [79]2 years ago
5 0

Answer:

Step-by-step explanation:

3x - 4y = -11

x - 2y = -5

Compare the coefficients of the variables.

The coefficients of the x terms, 3 and 1, are multiples of each other.

The coefficients of the y terms, -4 and -2, are also multiples of each other.

That makes it easy to eliminate either variable.

I'll eliminate the y variables. Multiply the second equation by -2, then add it to the first equation:

₋-2x + 4y = 10

 3x - 4y = -11

--------------------

 x + 0y = -1 ,  so x = -1.

Substitute -1 for x in either equation and solve for y:

3(-1) - 4y = -11

y = 2

(x,y) = (-1, 2)

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Use the graph of f to estimate the local maximum and local minimum.
Tpy6a [65]

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

A, B and C are the points based at the heights and valleys of the given curve.

y-coordinates of these points always decide, whether the point is a local maxima or local minima.

y-coordinate of A → -4

y-coordinate of B → 0

y-coordinate of C → -4

Ends of the curve are moving towards infinity, so the absolute maximum is not defined.

Local minimum → -4

Local maximum → 0

Therefore, point representing local maximum is B(0, 0).

Points representing local minimum are A(-2, -4) and C(2, -4).

Option (4) will be the correct option.

4 0
3 years ago
I need more brainliest I will answer your questions if need. 25 points
mrs_skeptik [129]

Answer:

Why is the energy that results from a roller coaster's position at the top of a hill referred to as potential energy?

Step-by-step explanation:

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5 0
2 years ago
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natta225 [31]

Answer:

y = 14

Step-by-step explanation:

∠BCF and ∠EFH are same side interior angles and are supplementary, hence

5x - 66 +2x + 50 = 180

7x - 16 = 180 ( add 16 to both sides )

7x = 196 ( divide both sides by 7 )

x = 28

∠BCF = 5x - 66 = (5 × 28) - 66 = 140 - 66 = 74

∠ACD = ∠BCF ( vertical angles ), hence

9y - 52 = 74 ( add 52 to both sides )

9y = 126 ( divide both sides by 9 )

y = 14

6 0
3 years ago
Given <img src="https://tex.z-dn.net/?f=f%28x%29%20%3Dx%5E2%20-6x%2B8%20and%20g%28x%29%20%3Dx-2" id="TexFormula1" title="f(x) =x
Eva8 [605]

For this case we have the following functions:

f (x) = x ^ 2-6x + 8\\g (x) = x-2

We must subtract the functions:

f (x) -g (x) = x ^ 2-6x + 8- (x-2)\\f (x) -g (x) = x ^ 2-6x + 8-x + 2\\f (x) -g (x) = x ^ 2-7x + 10

We build a table of values for x = 0,1,2,3.

x = 0, f (x) -g (x) = 0 ^ 2-7 (0) + 10 = 10\\x = 1, f (x) -g (x) = 1 ^ 2-7 (1) + 10 = 1-7 + 10 = 4\\x = 2, f (x) -g (x) = 2 ^ 2-7 (2) + 10 = 4-14 + 10 = 0\\x = 3, f (x) -g (x) = 3 ^ 2-7 (3) + 10 = 9-21 + 10 = -2

Answer:

f (x) -g (x) = x ^ 2-7x + 10

8 0
3 years ago
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mote1985 [20]
Decimal- 1.2083…
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