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3 years ago

URGENT HELP PLZ

Mathematics

1 answer:

Aliun [14]3 years ago

8 0

Answer:

y = 1/3x + 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Find slope m

m = (2 - 3)/(-6 - -3)

m = -1/(-6 + 3)

m = -1/-3

m = 1/3

y = 1/3x + b

Step 2: Find y-intercept b (plug in coordinates)

3 = 1/3(-3) + b

3 = -1 + b

b = 4

Step 3: Rewrite linear equation

y = 1/3x + 4

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Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.

inna [77]

Answer:

The exponential model is $y = 0.07\cdot e^{0.73\cdot x}$ .

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

$y = A\cdot e^{B\cdot x}$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A, B$ - Coefficients.

If we know that $(x_{1}, y_{1}) = (7,12)$ and $(x_{2}, y_{2}) = (8,25)$ , then we get the following system of equations:

$A\cdot e^{7\cdot B} = 12$ (2)

$A\cdot e^{8\cdot B} = 25$ (3)

If we divide (3) by (2), we calculate the value of $B$ :

$e^{B}=\frac{25}{12}$

$B = \ln \frac{25}{12}$

$B \approx 0.734$

And by (2), we determine the value of $A$ :

$A = 12\cdot e^{-7\cdot B}$

$A = 0.0704$

The exponential model is $y = 0.07\cdot e^{0.73\cdot x}$ .

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2 years ago

Work out the area of this quarter circle of radius 8 cm. Give your answer in terms of pie

Bess [88]

16pi

Step-by-step explanation:

pi x r² = ans ÷ 4 = Answer for area

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2 years ago

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gavmur [86]

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Pepsi [2]

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2 years ago

How do you solve this

alekssr [168]

5/(6x-2)=-1/(x+1)
You have to multiply both sides by the denominators so it becomes:
5*(x+1)=-1*(6x-2)
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This applies to the second one as well, if you need any more help, feel free to message me :)

8 0

3 years ago

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