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iogann1982 [59]
3 years ago
6

A set of weights includes a 5 lb barbell and 4 pairs of weight plates. Each pair of

Mathematics
1 answer:
Zina [86]3 years ago
5 0

Answer:

The answer to this question would be B:

Based on the question, since the weight of the weight plates are 20 lbs, this would be represented by the 20x in the function. As well, the 5 lb barbell would be represented by the 5 in the function. The range of the function is determined by the amount of weight plates are added. So if I added one weight plate the equation would equal, f(x) = 20(1) + 5 = 25. This continues on the more and more weight plates you add.

Hope this reached you well :)

Step-by-step explanation:

20 = weight of the weight plates

x = amount of weight plates.

5 = weight of the barbell

f(x) = 20(0) + 5 = 5

f(x) = 20(1) + 5 = 25

f(x) = 20(2) + 5 = 45

f(x) = 20(3) + 5 = 65

f(x) = 20(4) + 5 = 85

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Simplify <br><img src="https://tex.z-dn.net/?f=%20%20%5Csqrt%7B%20-%20180%7D%20" id="TexFormula1" title=" \sqrt{ - 180} " alt="
QveST [7]

Answer: (6\sqrt{5})i

This is the same as saying 6i\sqrt{5}

====================================================

Work Shown:

\sqrt{-180} = \sqrt{-1*36*5}\\\\\sqrt{-180} = \sqrt{-1}*\sqrt{36}*\sqrt{5}\\\\\sqrt{-180} = i*6*\sqrt{5}\\\\\sqrt{-180} = 6i\sqrt{5}\\\\\sqrt{-180} = (6\sqrt{5})i\\\\

where i = \sqrt{-1}

As the steps show above, the idea is to factor the radicand into smaller pieces where one of those pieces is the largest perfect square possible. In this case, 36 is the largest factor of 180 that's a perfect square. Then I used the rule \sqrt{A*B} = \sqrt{A}*\sqrt{B} to break up the root.

The parenthesis used at the very end is to help separate the 6\sqrt{5} from the i term. The "i" is not under the square root.

4 0
3 years ago
Write the coordinate of the intercept
Basile [38]

Answer:

m = 2/3

y-intercept: 2

Explanation:

First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.

This equation should be in the form: Ax + By = C (Standard form)

y = -Ax/B + C/B : y = mx + b (Slope intercept form)

2(6y - 4x) = 24 → 12y - 8x = 24

→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>

<u>8</u>x <u>- 12</u>y = <u>-24</u>

| | |

A B C

Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.

8x - 12y = -24

-8x -8x

(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)

-12y = -8x - 24

×-1 ×-1 ×-1

(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)

12y = 8x + 24

(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)

8 0
2 years ago
A carpenter used 9 1/2 ft of cedar for every 7 2/3 ft of redwood for a construction project. If the carpenter uses 4 3/4 ft of c
german

We can make a proportion to represent the woods used. On the top  is cedar, and on the bottom is the redwood. On the left is what was used the first time, on the right is the current problem.

Before making the proportion, let's do a preliminary step and write all the fractions as improper fractions. We do this because we can't directly multiply or divide mixed numbers, but we can with fractions.

9\frac{1}{2} =  \frac{2 * 9 + 1}{2} =\frac{19}{2}  <-- Multiply denominator times whole number and add the leftover fraction.

7\frac{2}{3} =  \frac{3 * 7 + 2}{3} =\frac{23}{3}  

4\frac{3}{4} =  \frac{4 * 4 + 3}{4} =\frac{19}{4}  

Now we set up the proportion. We solve it by cross multiplying.

\frac{Cedar}{Redwood} =\frac{Cedar}{Redwood}

\frac{19/2}{23/3} =\frac{19/4}{R}

\frac{19}{2} R = \frac{23}{3} *\frac{19}{4}

It may seem right to simplify the right side, but let's leave it alone. We divide both sides by 19/2.

R = (\frac{23}{3} *\frac{19}{4} ) / \frac{19}{2}

Dividing by a fraction means multiplying by its reciprocal. Thus,

R = \frac{23}{3} *\frac{19}{4} *  \frac{2}{19}

Here's where not simplifying really pays off. We can simplify NOW and the terms go away more easily. The 19s go away and simplify to 1, and the 2 and 4 simplify to 1 and 2.  All this happens by dividing out common numbers.

R = \frac{23}{3} *\frac{1}{2} *  \frac{1}{1}

Now we multiply all the tops and all the bottoms.

R = 23 * 1 * 1 / 3 * 2 * 1

R = 23 / 6

While R is 23/6, we need to make it a mixed number. The way we made mixed numbers as improper fractions happens here, except in reverse.

23 ÷ 6 = 3 with a remainder of 5, as 3 × 6 + 5 = 23. Thus, \frac{23}{6} = 3\frac{5}{6}.


As a result, 3\frac{5}{6} feet of redwood is needed.

8 0
3 years ago
What is the formula for a triangular pyramid?
AlladinOne [14]
Hello Takeover, I believe the formula for a triangle prism is  V= 1/2 a c h
3 0
3 years ago
Mary has 32 she bought 3 comic books that cost 4 each then she and her friend mowed a neighbor yard and earned 18
kifflom [539]

Answer:

38

Step-by-step explanation:

32 minus 3x4 which is 12

and you get 20

add 18

and you get 38

3 0
3 years ago
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