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vichka [17]
3 years ago
7

Convert 192 cups to gallons. Enter your answers in the boxes. There are cups in 1 gallon. Therefore, 192 cups is equal to gallon

s.
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

The answer is 12 because there are 16 cups in 1 gallon. 192/16 is 12! Hope this helps! :)

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Simplify each expression using the order of operations. Then, match the expression (term) on the left with its solution (definit
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Complete factorization f(x)=x^4-x^3-5x^2-x-6
Marianna [84]

The solution to the above  factorization problem is given as f′(x)=4x³−3x²−10x−1. See steps below.

<h3>What are the steps to the above answer?</h3>

Step 1 - Take the derivative of both sides

f′(x)=d/dx​​(x^4−x^3−5x^2−x−6)

Step 2 - Use differentiation rule d/dx​(f(x)±g(x))=d/dx​(f(x))±d/dx​(g(x))

f′(x)=d/dx​​(x4)−d/dx​​(x^3)−d/dx​​(5x^2)−d/dx​​(x)−d/dx​​(6)

f′(x)=4x^3−d/dx​​(x3)−d/dx​​(5x^2)−d/dx​​(x)−d/dx​​(6)

f′(x)=4x^3−3x2−d/dx​​(5x^2)−d/dx​​(x)−d/dx​​(6)

f′(x)=4x^3−3x^2−10x−d/dx​​(x)−d/dx​​(6)

f′(x)=4x^3−3x^2−10x−1−dxd​(6)

f′(x)=4x^3−3x^2−10x−1−0

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5 0
2 years ago
Could an average person lift the weight of​ $100 in​ dimes?
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Yes. it would be only about 5 pounds
6 0
3 years ago
Read 2 more answers
Concider the functions: f(x)= (2/3)x and g(x)=(2/3)x-3+2. Which statement is true regarding the vertical and horizontal translat
ioda

The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.

<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>

For a given function f(x), we can write a vertical translation of n units as:

g(x) = f(x) + n

  • If n < 0, the translation is downwards.
  • if n > 0, the translation is upwards.

And a horizontal translation of n units as:

g(x) = f(x + n).

  • if n > 0, the translation is to the left.
  • if n < 0, the translation is to the right.

Here we have:

f(x) = (2/3)*x

g(x) = (2/3)*(x - 3) + 2

By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.

So the correct option is B.

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4 0
2 years ago
HELP PLEASEE!!! I just need help with the 2 boxes
Soloha48 [4]

Answer:

y= x - 300

y = -246 -- Her equivalent weight on earth

Step-by-step explanation:

Given

The attached table

Required

Fill in the gaps

(a) The equation

First, we calculate the slope (m)

m = \frac{y_2  - y_1}{x_2 - x_1}

From the table, we can say that:

(x_1,y_1) = (0,-300)

(x_2,y_2) = (300,0)

So, we have:

m = \frac{0  -(-300)}{300 - 0}

m = \frac{0 +300}{300}

m = \frac{300}{300}

m = 1

The equation is then calculated using:

y - y_1 = m(x - x_1)

This gives:

y - (-300) = 1(x - 0)

y +300 = 1(x)

y +300 = x

y= x - 300

(b) When x = 54

Substitute 54 for x in y= x - 300

y = 54 - 300

y = -246

3 0
3 years ago
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