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Inga [223]
3 years ago
5

Solve the following systems of 3-variable linear equations.​

Mathematics
1 answer:
Dima020 [189]3 years ago
3 0

Answer:

.

Step-by-step explanation:

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Aiko types at a rate of 70 words per minute. After typing at the same rate for 3 minutes, he had typed a total of 210 words. Thi
Eddi Din [679]

Answer:

Not sure if this is correct but it should be y=210x-140

Step-by-step explanation:

8 0
3 years ago
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a volley ball player servers the ball. The ball follows a path given by the equation y=-0.01x^2+0.5x+3 where x and y are measure
dolphi86 [110]

Answer:

(a)

Distance from player should be 13.82 feet or 36.2 feet

(b)

The ball will go over the net

Step-by-step explanation:

we are given

The ball follows a path given by the equation

y=-0.01x^2+0.5x+3

where

x and y are measured in feet and the origin is on the court directly below where the player hits the ball

(a)

net height is 8 ft

so, we can set y=8

and then we can solve for x

8=-0.01x^2+0.5x+3

8\cdot \:100=-0.01x^2\cdot \:100+0.5x\cdot \:100+3\cdot \:100

800=-x^2+50x+300

-x^2+50x-500=0

x^2-50x+500=0

we can use quadratic formula

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-500\right)}}{2\left(-1\right)}

x=5\left(5-\sqrt{5}\right),\:x=5\left(5+\sqrt{5}\right)

x=13.82,x=36.2

So, distance from player should be 13.82 feet or 36.2 feet

(b)

we can plug x=30 and check whether y=8 ft

y=-0.01(30)^2+0.5(30)+3

y=9ft

we know that

height of net is 8 ft

so, the ball will go over the net


5 0
3 years ago
The width of a rectangle is 5 centimeters less than the length . The area of the rectangle is 36 centimeters.find the length?
Iteru [2.4K]

Answer:

9 centimeters

Step-by-step explanation:

Let the width be represented by l - 5, where l is the length.

Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor

A = lw

36 = l(l - 5)

36 = l² - 5l

0 = l² - 5l - 36

Factor:

(l - 9)(l + 4)

Set equal to zero and solve for both solutions:

(l - 9)(l + 4) = 0

l - 9 = 0

l = 9

l + 4 = 0

l = -4

The length cannot be negative, so the answer has to be 9.

The length is 9 centimeters

7 0
2 years ago
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Dustin only has 11 Poké balls. To collect more, he went to a few Poké stops and now has 33 Poké balls.
Rainbow [258]

Answer:

he gained 22 poke balls

Step-by-step explanation:

hope this help you

4 0
3 years ago
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Write the first four terms of the sequence defined by each of the following recursive formulas.
Dafna11 [192]

Answer:

First equation : 3, 0, -3, -6

Second equation : 2, 2.5, 3, 3.5

Step-by-step explanation:

What the first equation is basically saying is subtract 3 each time.

What the second equation is basically saying is add 0.5 each time.

Then we just add/subtract to find the first four terms.

3 0
3 years ago
Read 2 more answers
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