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Vika [28.1K]
2 years ago
13

4. Use the substitution method to determine the solution to this system of equations.

Mathematics
1 answer:
N76 [4]2 years ago
3 0

Answer:

No solution

Step-by-step explanation:

6X - 3Y = -9--------------(1)

- 2 X +Y= 5---------------(2)

from equation two,

Y = 5+2X------------------(3)

substitute equation (3) into equation (1)

6X-3(5+2X)= -9

opening bracket

6X-15-6X= -9

6X- 6X = -9+15

0 = 6

<h2>therefore the answer is no solution</h2>

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In the isosceles trapezoid ABCD, find the value of x.
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Answer:

15

Step-by-step explanation:

3x+15=60

3x=45

x=15

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3 years ago
Which is the most accurate measurement of 1 pound? (Remember, there are 16 ounces in a pound.)
Maslowich

Answer:

15 ounces is the  most accurate measurement of 1 pound .

Option (C) is correct .

Step-by-step explanation:

As given

The most accurate measurement of 1 pound .

As there are  16 ounces in a pound .

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1 pound = 16 ounce

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As option given in the question 15 ounces is the only option value which near about to the 16 ounce .

Therefore 15 ounces is the  most accurate measurement of 1 pound .

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4 0
3 years ago
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A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the prob
UkoKoshka [18]

Answer:

The probability that 8 mice are​ required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates​ mice, one at a​ time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are​ required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

P(X=r)=^nC_r p^rq^{n-r}

Where, p is the probability of success p=\frac{2}{7}

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n is total number of trials n=8

r=3

Substitute the values,

P(X=3)=^8C_3 (\frac{2}{7})^3 (\frac{5}{7})^{8-3}

P(X=3)=\frac{8!}{3!5!}\times \frac{8}{343}\times (\frac{5}{7})^{5}

P(X=3)=\frac{8\times 7\times 6}{3\times 2\times 1}\times \frac{8}{343}\times \frac{3125}{16807}

P(X=3)=0.2428

Therefore, the probability that 8 mice are​ required is 0.2428.

5 0
4 years ago
Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2).
FromTheMoon [43]

f(x) = 3x - 1

Step-by-step explanation:

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5 0
3 years ago
Evaluate the expression (x^2-2x)(3x^2+4x-7)
Troyanec [42]

Answer: 3x^4-2x^3- 15x^2+14x

Step-by-step explanation:

You should just multiply the two values together.

7 0
3 years ago
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