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3 years ago

11

Please solve this by solving systems by elimination6x+3y=-187x+7y=0

1 answer:

gavmur [86]3 years ago

7 0

Answer:

Step-by-step explanation:

6x + 3y = -18

Taking 3 common from left side

so, 3(2x+y) = -18

2x+y = -18/3

2x+y = -6 (equation 1)

and, 7x + 7y = 0

Taking 7 as commom from left side

7(x + y) = 0

x + y = 0/7

x + y = 0 (equation 2)

now , by using elimination method

subtracting equation2 from equation1

2x + y - (x + y)= -6 - 0

2x + y - x - y = -6

x = -6

so, x = -6

substituting value of x in equation 1

2(-6) + y = -6

-12 + y = -6

y = -6 +12

y = 6

hence, the value of x = -6

and value of y = 6

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

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2 years ago

Help. Only two questions.

anastassius [24]

6; because they are an equal distance apart

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