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2 years ago

What’s the linear equation in slope intercept form to (-3,7) and (6,-8)?

1 answer:

3 0

Y= -5/3x + 2

To find slope:
-8-7 / 6 - (-3) = -5/3

Plug in x and y from one of the points to the equation to find b

7 = -5/3 (-3) + b

B = 2

Put it all together:

y = -5/3x + 2

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Blue Ray's computer sales totaled $59,500 last month. She receives a commission rate of 15% on all sales. What commission did sh

LenaWriter [7]

Answer: $8,925

Step-by-step explanation:

Convert 15% to decimals. You can do this by dividing by 100.

$\frac{15}{100}=0.15$

Now, take the total amount of the sales and multiply it by this decimal.

$59,500*0.15=8925$

5 0

3 years ago

Can you help me with a question? What is the equation of the blue line?

Artist 52 [7]

Answer:

y = -x - 1

Step-by-step explanation:

y = mx + b

<u>slope (m):</u> Since the line is going downhill, the slope will be negative

slope = rise / run

slope = 1 / 1

slope = 1

m = -1

<u>y - intercept (b):</u> this when x = 0, the line is crossing the vertical line (y-axis)

b = -1

so y = mx + b is

b = -1, m = -1

y = (-1)x + (-1)

3 0

2 years ago

Read 2 more answers

Eli invested $ 330 $330 in an account in the year 1999, and the value has been growing exponentially at a constant rate. The val

Cloud [144]

Answer:

The value of the account in the year 2009 will be $682.

Step-by-step explanation:

The acount's balance, in t years after 1999, can be modeled by the following equation.

$A(t) = Pe^{rt}$

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

$330 in an account in the year 1999

This means that $P = 330$

$590 in the year 2007

2007 is 8 years after 1999, so P(8) = 590.

We use this to find r.

$A(t) = Pe^{rt}$

$590 = 330e^{8r}$

$e^{8r} = \frac{590}{330}$

$e^{8r} = 1.79$

Applying ln to both sides:

$\ln{e^{8r}} = \ln{1.79}$

$8r = \ln{1.79}$

$r = \frac{\ln{1.79}}{8}$

$r = 0.0726$

Determine the value of the account, to the nearest dollar, in the year 2009.

2009 is 10 years after 1999, so this is A(10).

$A(t) = 330e^{0.0726t}$

$A(10) = 330e^{0.0726*10} = 682$

The value of the account in the year 2009 will be $682.

4 0

3 years ago

Simplify 36x^4 42x^7

Alja [10]

The first step to simplify this equation is to multiply the numbers
1512 $x^{4}$ × $x^{7}$
next,, youll multiply the terms with the same base by adding their exponents
1512 $x^{4+7}$
finally,, youll add the numbers together
1512 $x^{11}$
since you cant simplify any further,, the correct answer to your question is 1512 $x^{11}$
let me know if you have any further questions
:)

4 0

3 years ago

A bag of balloons contains 4 red balloons, 12 green balloons, 14 yellow balloons, and 7 orange balloons. What is the probability

Ostrovityanka [42]

There are 37 balloons total and there are 7 orange balloons. Therefore, the probability is 7/37.

5 0

3 years ago