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Doss [256]
3 years ago
11

Use the function below to find f(4). f(x)= 1/3•4^x

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

Answer:

f(4) = 85 1/3 or 85.333...

Step-by-step explanation:

To find f(4), you must substitute 4 in place of x whenever x appears:

f(x) = \frac{1}{3} * 4^{x}

f(4) = \frac{1}{3} * 4^{4}

Next, simplify the exponent:

f(4) = \frac{1}{3} * 256

Finally, multiply:

f(4) = 85 1/3 or 85.333...

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We need a flower garden with a perimeter of 18 feet and an area of 18 square feet.what is the Length and width
tia_tia [17]

Answer:

length is 6feet and width is 3 feet

Step-by-step explanation:

Area of the garden = LW

Perimeter of the garden = 2(L+W)

L is the length

W is the width

Given

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Perimeter = 18feet

Substitute

18 = LW ... 1

18 = 2(L+W)

9 = L+W .... 2

From 2;

L = 9-W

Substitute into 1

18 = (9-W)W

18 = 9W-W²

W²-9W+18 = 0

W²-6W-3W+18 = 0

W(W-6)-3(W-6) = 0

W-3 = 0

W = 3 feet

Since L = 9-W

L = 9-3

L = 6feet

Hence the length is 6feet and width is 3 feet

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3 years ago
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Number line for-5 c &lt;-30 the sign also has a line under it
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Examine the diagram and information to answer the question. Square ABCD has vertices at A(−2,1), B(2,7), C(8,3), and D(4,−3). Ho
BigorU [14]

Answer:

Option (1)

Step-by-step explanation:

Coordinates of the vertices are A(-2, 1), B(2, 7), C(8, 3) and D(4, -3)

Since ABCD is a square,

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Formula to calculate the distance between two points (x_1,y_1) and (x_2,y_2) is,

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Therefore, distance between two points A(-2, 1) and B(2, 7) will be,

AB = \sqrt{(2+2)^2+(7-1)^2}

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AB = \sqrt{52}

AB = 2\sqrt{13}

Now area of  square ABCD = 4 × 2\sqrt{13}

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Therefore, option (1) will be the answer.

7 0
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