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Katen [24]
3 years ago
15

Solve each system by the addition method.

Mathematics
1 answer:
bagirrra123 [75]3 years ago
6 0

Answer:

(x, y) = (2, -1.5)

Step-by-step explanation:

x + 2y = -1

5x - 4y = 16

<=>

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

5x - 4y = 16

<=>

2x + 4y = -2

5x - 4y = 16

<=>

7x = 14

<=>

x = 2

(*)x + 2y = -1

=> 2 + 2y = -1

=> 2y = -3

=> y = -1.5

=> (x, y) = (2, -1.5)

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Answer:

Yes

Step-by-step explanation:

A function cannot have the same x values but can have the same y values. Because all of the x-values are different, this table represents a function.

If this has helped please mark as brainliest

8 0
3 years ago
What is the volume of the base of a pyramid is 18 square yards. The height of the pyramid is 5 feet tall if its base is a square
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Use the equation for volume of a pyramid (base x width x height)
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What is the interval of increase and decrease of f(x)= (x-4)^2 -1
nevsk [136]

Answer:

(−∞,4)

Step-by-step explanation:

Explanation:

To determine the interval that f(x) is increasing.

increasing when f'(x)>0f'(x)=−2(x−4)← using chain rule

solve −2(x−4)>0

⇒−2x+8>0

⇒x<4

interval is (−∞,4)

graph{-(x-4)^2-3 [-8.89, 8.89, -4.445, 4.44]}

3 0
3 years ago
You are using a sturdy building material to design a water fountain basin for a park in the city. The bottom and sides of the ba
Luden [163]

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7 0
2 years ago
A small radio transmitter broadcasts in a 53 mile radius. If you drive along a straight line from a city 70 miles north of the t
son4ous [18]

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)  

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

4 0
3 years ago
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