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3 years ago

Find an equation in slope-intercept form for the line containing the following points.

Mathematics

1 answer:

mr_godi [17]3 years ago

3 0

Answer:

y=-x-2

Step-by-step explanation:

slope-intercept form is y = mx+b

slope is change in y over change in x, which is -5-(-3)/(3-1) = -1

y = -x+b

plugging in a point, like (1,-3), we have -3 = -1+b. b = -3+1 = -2

y = -x-2

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Find the gradient, picture below

hoa [83]

Answer:

$\frac{dy}{dx} = \frac{13}{8}$

Step-by-step explanation:

$y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } }$

When x = 4,

$\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8}$

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3 years ago

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Franklin puts apples and pears into boxes for the costumers at the local food bank. he puts the same number of apples or pears i

Zielflug [23.3K]

Answer:

Step-by-step explanation:

To solve this problem, find the greatest common factor of the numbers representing the numbers of apples and pears respectively.

Each box will contain 3 pears and 4 apples.

And total number of fruits in each box will be 7 fruits.

It's given in the question,

Blake has 64 apples and 48 pears with him.

He has to put equal numbers of each fruit in a box.

To find the greatest number of fruits he can put in a box we will find the greatest common factor (GCF) of the given numbers first.

Therefore, greatest common factor of these numbers = =

GCF of these numbers tells about the number of boxes that can be prepared.

Now the number of pears that can be put in each box =

And the number of apples in each box =

Therefore, each box will contain 3 pears and 4 apples.

And total number of fruits in each box = 3 + 4 = 7 fruits.

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3 years ago

Help me with my math

mihalych1998 [28]

The answer is: 153.93 inches

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Write a multiple of 4 that is greater than 30 but less than 100

exis [7]

10 x 4= 40

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3 years ago

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A baker needs 8 cups of flour for a sheet cake recipe. He has 4 cups of flour in a canister and buys 5 cups

aliya0001 [1]

The answer is 1.
He already had 4 and bought 5 more. 4+5=9
but he only needs 8 so you’ll then subtract 8 from 9 which leaves you with 1 cup

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3 years ago

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