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Yakvenalex [24]
2 years ago
10

Solve the system and round to the nearest hundredth. Enter the

Mathematics
2 answers:
hram777 [196]2 years ago
6 0

Answer:

Step-by-step explanation:

xy = 300

x + y = 50                       Solve for y

y = 50 - x                        substitute into xy = 300

x(50 - x) = 300               Remove the brackets.

50x - x^2 = 300             Bring the left to the right.

0 = x^2 - 50x + 300

This is a quadratic. It will have 2 solutions.

a=1

b = - 50

c = 300

Put these into the quadratic equation.

It turns out that x has two values -- both plus

x1 = 42.03

x2 = 6.97

x1 + y1 = 50

42.03 + y = 50

y = 50 - 42.03

y = 7,97

(42.03 , 7.97)

====================

x2 + y2 = 50

6.97 + y2 = 50

y2 = 50 - 6.97

y2 = 43.03

(6.97 , 43.03)

tatuchka [14]2 years ago
4 0

Answer:

x ≈ 6.97, y ≈ 43.03; x ≈ 43.03, y ≈ 6.97

Step-by-step explanation:

System: x + y = 50, xy = 300

Alter 1st equation: y = 50 - x

Substitute: x(50 - x) = 300

Distribute: -x² + 50x = 300

Subtract: -x² + 50x - 300 = 0

Quadratic formula: x = (-50 ± √(2500 - 4 * -1 * -300))/(-2)

Simplify: x = (-50 ± √1300)/-2

Distribute: x = 25 ± (10√13)/-2

Simplify: x = 25 - 5√13 --> x ≈ 6.97, x = 25 + 5√13 --> x ≈ 43.03

Substitute: 6.97 + y = 50 --> y ≈ 43.03, 43.04 + y = 50 --> y ≈ 6.97

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8 0
2 years ago
Can anybody help me please I'm stuck with this question.
tekilochka [14]

Answer: 18 units

Step-by-step explanation:since its is a horizontal line x2 - x1

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line 2:

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line 3:

since this is a horizontal line x2 - x1

7 - 4 = 3

line 4:

for this we need to use the distance formula which allows us to find the distance making a third point to form a right angle triangle

point 1: (1,3)

point 2: (4,7)

point 3 (new point) : (4,3)

now we can apply the pythogorean thereum (C squared = B squared + A squared) with the following lines.

line 1: (1,3) - (4,7)

line 2: (1,3) - (4,3)

line 3: (4,3) - (4,7)

line 1 squared = line2 squared + line 3 squared

calculate length of line 2 and 3

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line 1 squared = 3 squared + 4 squared

line 1 squared = 9 + 16

line 1 squared = 25

root both sides

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8 0
3 years ago
Jenna can paint the shed in 2 hours. Juan can paint it in 1.5 hours. • Jenna says is they work together the job will take 1/2+1/
Harlamova29_29 [7]

Answer:

There is a formula for this:

[Worker 1 Time * Worker 2 Time] / [Worker 1 Time + Worker 2 Time]

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Similar:<br> Similarity Statement:<br> Scale Factor:<br> Please help, NO LINKS
nalin [4]

Answer:

No similarity and no scale factor (I could be wrong)

Step-by-step explanation:

Don't worry, no links :)

You would see if they are similar if they have similar sides. so if there is an equal ratio, to both, they are similar. Sometimes they may not look similar until you rotate them. So for the following, you can see that if E were on the bottom, it would look like the triangle with N and M on the bottom you can ensure this to look at the ratios of each side. To find the scale factor, it depends on which way you are going. are you going from GEF to MNL or MNL to GEF? To me, it doesn't look like there is a scale factor, but I could be wrong.

8 0
3 years ago
In a hypothesis test, if the computed P-value is greater than a specified level of significance, then we__________.
Verizon [17]

Answer:

We fail to reject the null hypothesis.

Step-by-step explanation:

In a hypothesis test, if the computed p-value is grater than a specified level of significance, then we fail to reject the null hypothesis. The p-value can be computed as the probability of getting a value equal or greater (in absolute value) than the observed value using the test statistic, this implies that if the p-value is greater than a specified level of significance, then the observed value does not fall inside the rejection region. Therefore we fail to reject the null hypothesis.

8 0
3 years ago
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