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kondaur [170]
4 years ago
5

Use a graphing tool to solve the system.

Mathematics
2 answers:
aksik [14]4 years ago
5 0

Answer: C. ( 0. 5, -3. 5)

Step-by-step explanation:

3x - 8y = 29 ---------(1)

3x + y = -2 ------------(2)

subtract (2) from equation (1)

-9y = 31

Divide bothside by -9

-9y / -9 = 31/ -9

y = -3. 4

substituting y= -3. 4 in equation (2)

3x + y = -2

3x + (-3. 4) = -2

3x - 3. 4 = -2

add 3. 4 to bothside of the equation

3x - 3. 4 + 3. 4 = -2 + 3. 4

3x = 1. 4

Divide bothside by 3

3x / 3 = 1. 4 / 3

x = 0. 5

AleksAgata [21]4 years ago
3 0
Y=-3x-2
3x-8(-3x-2)=29
3x+24x+16=29
27x=12
x=4/9
y=-4/3-2
y=-3 1/3
The closest approximation algebraically is (.5,-3.5) <span />
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3 years ago
Please answer correctly <br> will mark brainlest 1hour to complete
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Identify an equation in point-slope form for the line perpendicular to
Alchen [17]

Answer:

y - 9 = \frac{1}{2}(x +3)

Step-by-step explanation:

Given

Function; y = -2x + 8

Required

Find an equation perpendicular to the given function if it passes through (-3,9)

First, we need to determine the slope of:  y = -2x + 8

The slope intercept of an equation is in form;

y = mx + b

<em>Where m represent the slope</em>

Comparing  y = m_1x + b to y = -2x + 8;

We'll have that

m_1 = -2

Going from there; we need to calculate the slope of the parallel line

The condition for parallel line is;

m_1 * m_2 = -1

Substitute m_1 = -2

(-2) * m_2 = -1

Divide both sides by -2

m_2 =\frac{ -1}{-2}

m_2 =\frac{1}{2}

The point slope form of a line is;

y - y_1 = m_2(x - x_1)

Where (x_1,y_1) = (-3,9) and m_2 =\frac{1}{2}

y - y_1 = m_2(x - x_1)becomes

y - 9 = \frac{1}{2}(x - (-3))

Open the inner bracket

y - 9 = \frac{1}{2}(x +3)

<em>Hence, the point slope form of the perpendicular line is: </em>

<em />y - 9 = \frac{1}{2}(x +3)<em />

3 0
4 years ago
Suppose that $12,724 is invested at an interest rate of 6.1% per year, compounded continuously. Find the exponential function th
olchik [2.2K]

Answer:

Exponential Function: A= P* e ^ {0.061t}

Balance after

t=1 $ 13,524.32

t=2 $ 14,374.99

t=5 $ 17,261.69

t=10 $ 23,417.64

Step-by-step explanation:

Formula used to find amount in the account after time t, given the interest rate is compounded continuously

A= Pe^r^t

where: P= principal amount or amount invested

r= interest rate

t= time

A= amount after time t

in our question we are given:

P=$12,724

r= 6.1% or 0.061

A= 12724 * e ^ (^0^.^0^6^1^)^t

The above equation is exponential function that describes the amount in the account after time t in years

Now, for t = 1

A= 12724 * e ^ {0.061 * 1}

A= $ 13,524.32

t=2

A= 12724 * e ^ {0.061 * 2}

A= $ 14,374.99

t= 5

A= 12724 * e ^ {0.061 * 5}

A= $ 17,261.69

t=10

A= 12724 * e ^ {0.061 * 10}

A= $ 23,417.64

7 0
4 years ago
What is the answer to 5 - a0 = 14
nikklg [1K]

Answer:

There are no solutions.

Step-by-step explanation:

cuz they ain't all real numbers

im wrong

5 0
3 years ago
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