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3 years ago

solve this system of linear equations. separate the x- and y-values with a comma. -12x = -75 - 11y -5x = -89 - 11y

Mathematics

1 answer:

iragen [17]3 years ago

8 0

Answer:

x = -2 , y= -9

Step-by-step explanation:

Solve the following system:

{-12 x = -11 y - 75 | (equation 1)

{-5 x = -11 y - 89 | (equation 2)

Express the system in standard form:

{-(12 x) + 11 y = -75 | (equation 1)

{-(5 x) + 11 y = -89 | (equation 2)

Subtract 5/12 × (equation 1) from equation 2:

{-(12 x) + 11 y = -75 | (equation 1)

{0 x+(77 y)/12 = (-231)/4 | (equation 2)

Multiply equation 2 by 12/77:

{-(12 x) + 11 y = -75 | (equation 1)

{0 x+y = -9 | (equation 2)

Subtract 11 × (equation 2) from equation 1:

{-(12 x)+0 y = 24 | (equation 1)

{0 x+y = -9 | (equation 2)

Divide equation 1 by -12:

{x+0 y = -2 | (equation 1)

{0 x+y = -9 | (equation 2)

Collect results:

Answer: {x = -2 , y= -9

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Answer:

$Area = 51.68yd^2$

Step-by-step explanation:

Given

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$a = 2.5yd$ --- base sides

Required

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The surface area is calculated as:

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So, we have:

$Area = 2.5^2 + 2*2.5\sqrt{\frac{2.5^2}{4} + 9^2}$

$Area = 6.25 + 5\sqrt{\frac{6.25}{4} + 81}$

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3 years ago

What does point A represent on the graph?

RSB [31]

Answer:

d. Jordan needs 1 and one-half cups of diced chicken for 3 salads

Step-by-step explanation:

cups of chicken are shown on the y axis, number of salads is shown on the x axes. For 3 salads you need 1.5 cups of chicken.

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3 years ago

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Use the method from the Example to approximate the solution to the equations below to two decimal places.

STALIN [3.7K]

Answer:

x = 3.85

Step-by-step explanation:

Given equation:

6ˣ = 1,000

now,

on taking log both sides, we get

⇒ log(6ˣ) = log(1,000)

⇒ log(6ˣ) = log(10³)

now we know the property of log function that

log(aᵇ) = b × log(a)

thus, applying the above property, we get

⇒ x × log(6) = 3log(10)

⇒ x × log(2×3) = 3log(10)

now,

we have another property of log function as":

log(A) = log(A) + log(B)

therefore,

x × [log(2) + log(3)] = 3log(10)

also,

log(10) = 1

log(2) = 0.3010

log(3) = 0.4771

Thus,

⇒ x × [0.3010 + 0.4771 ] = 3 × 1

⇒ x × 0.7781 = 3

⇒ x = 3.85

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3 years ago

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anastassius [24]

Answer:

y = -2x + 7.

Step-by-step explanation:

The slope is (5-7)/1-0 = -2 ,

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So the function is -2x + c where c is some constant.

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7 = -2(0) + c

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3 years ago

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Margarita [4]

Answer:

Part 1) Intervals of the domain where the graph is above the x-axis (f(x) > 0)

Part 2) location on graph where input is zero (y-intercept)

Part 3) location on graph where output is zero (x-intercept)

Part 4) Intervals of the domain where the graph is below the x-axis (f(x) < 0)

Step-by-step explanation:

<u><em>Verify each case</em></u>

Part 1) we have

Intervals of the domain where the graph is above the x-axis

we know that

If the graph is above the x-axis, then the value of f(x) is positive

therefore

f(x) > 0

Part 2) we have

location on graph where input is zero

Let

x ---> the independent variable or input value

f(x) ---> the dependent variable or output value

we know that

The y-intercept is the value of f(x) (output value) when the value of x (input value) is zero

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y-intercept

Part 3) we have

location on graph where output is zero

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x ---> the independent variable or input value

f(x) ---> the dependent variable or output value

we know that

The x-intercept is the value of x (input value) when the value of the function f(x) (output value) is zero

therefore

x-intercept

Part 4) we have

Intervals of the domain where the graph is below the x-axis

we know that

If the graph is below the x-axis, then the value of f(x) is negative

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