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Ainat [17]
3 years ago
15

Can someone please help me in this question.

Mathematics
1 answer:
mestny [16]3 years ago
6 0

Answer:

a) 2^{3}

b) 2^{5}

c) 2^{8}

d) \frac{5}{2^{3} }

e) 2^{4} + 2^{3}

Step-by-step explanation:

a) 8 = 2 x 2 x 2

b) 32 = 2 x 2 x 2 x 2 x 2

c) 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

d) 5 x 2^3 / 64 = 5 x 8 / 64

                        = 40/64

                        = 5/8

                        = \frac{5}{2^{3} }

e) 16 - (-2)^3 = 16 - (-8)

                    = 16 + 8

                    = 2^{4} + 2^{3}

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lys-0071 [83]

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have 3x - 2y = 6       <em>subtract 3x from both sides</em>

-2y = -3x + 6      <em>divide both sides by -2</em>

y = 3/2 x - 3

slope: m = 3/2

y-intercept: b = -3

x-intercept for y = 0. Substitute:

3/2 x - 3 = 0      <em>add 3 to both sides</em>

3/2 x = 3       <em>multiply both sides by 2/3</em>

x = 2

<h3>Answer:</h3><h3>slope = 3/2</h3><h3>y-intercept = -3</h3><h3>x-intercept = 2</h3>

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y = 3/2 x - 3 it's the same function like first function.

8 0
3 years ago
Two cyclists , A and B , are going on a bike ride and are meeting at an orchard . They left home at the same time . Functions A
vova2212 [387]

Answer:

Cyclist A lives farther from the Orchard

Step-by-step explanation:

Given

A(x) =48.5 -21x

B(x) =42 -16.8x

Required:

Who lives farther from the Orchard.

To do this, we simply calculate the y intercept.

This represents the total distance traveled to get to the Orchard

To calculate y intercept, we set x = 0

So:

A(x) =48.5 -21x

A(0) = 48.5-21*0 =48.5-0 =48.5

B(x) =42 -16.8x

B(0) = 42 - 16.8*0 =42-0 =42

From the above computation:

A(0) > B(0) \to 48.5 > 42

Hence;

Cyclist A lives farther from the Orchard

5 0
2 years ago
Javier is buying fencing to surround his garden. If his garden has a perimeter of 30 yards, and fencing costs $6.00 a yard, how
shusha [124]

$180

Step-by-step explanation:

30 x 6 = 180

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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