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ira [324]
3 years ago
10

What are the solutions of the following system

Mathematics
2 answers:
noname [10]3 years ago
6 0

Answer:

<h2>(-6, 312), (6, 312)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}10x^2-y=48\\2y=16x^2+48&\text{subtracy}\ 16x^2\ \text{from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}10x^2-y=48\\-16x^2+2y=48&\text{divide both sides by 2}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x^2-y=48\\-8x^2+y=24\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x^2=72\qquad\text{divide both sides by 2}\\.\qquad x^2=36\to x=\pm\sqrt{36}\\.\qquad x=\pm6\\\\\text{Put the values of}\ x\ \text{to the second equation}

2y=16(\pm6)^2+48\\\\2y=16(36)+48\\2y=576+48\\2y=624\qquad\text{divide both sides by 2}\\y=312

Ostrovityanka [42]3 years ago
4 0

Answer:

c i think

Step-by-step explanation:

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A car starts on a trip and travels at an average speed of 50 miles per hour. Two hours later, a second car starts on the same tr
umka21 [38]

The distance traveled by first car is 50t + 100.

The distance traveled by second car is 70t.

The distance between the two cars after time, t is d = 100 - 20t.

The ratio of the distance traveled by the cars is (70t) / (50t + 100).

<h3>Distance traveled by each vehicle is calculated as follows;</h3>

The distance traveled by each vehicle at the given time is calculated as follows;

<h3>Distance traveled by first car</h3>

D₁ = speed x time

D₁ = 50(t + 2)

D₁ = 50t + 100

<h3>Distance traveled by the second car</h3>

D₂ = 70t

<h3>Distance between the two cars after time, t</h3>

d = D₁ - D₂

d = (50t + 100) - 70t

d = 100 - 20t

<h3>Ratio of the distance traveled by the cars</h3>

D₂/D₁ = (70t) / (50t + 100)

Learn more about distance traveled by a vehicle here: brainly.com/question/6504879

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7 0
1 year ago
Enter a range if values for x.
Blizzard [7]

Answer:

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3 0
2 years ago
Hi. I need some help on 15 and 16! Thank you!
Alenkinab [10]

Answer:

MN = 34, x = 7

Step-by-step explanation:

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7 0
3 years ago
In a survey of market, it is found that 143 persons use white toothpaste and 135 use red toothpaste. If 70 of them use both the
denpristay [2]

Answer:

let W and R represent white toothpaste and red toothpaste represently

n(W)=143

n(R)=135

n(WnR)=70

n( WuR)=?

Now,

n(WuR)=n(W)+n(R)_n(WnR)

=143+135_70

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that's all don't forget to write therefore.

6 0
3 years ago
Solve 2 more please?
murzikaleks [220]

11.

(87+91+86+x)/4=90.

x=96.

13.

50×y > 130.

the lowest number could be 3, because 50×2=120, which is less than 130.

8 0
3 years ago
Read 2 more answers
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