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KIM [24]
2 years ago
13

A newly opened juice shop earned a profit of $2,400 in the first month. For the remaining months of the year, the expected profi

t is modeled by the function J(t) = 2.5t + 1,250, where t is the number of months after the first month the shop opened.
Create a function, P(t), that describes the total profit earned for the entire year.
P (t) =
Mathematics
1 answer:
atroni [7]2 years ago
4 0

First month's profit of the company = $2,400.

After the first month, the profit is modeled by the function

J(t) = 2.5t + 1,250, t is the number of months after the first month the shop opened.

Now, P(t) describes the total profit earned by the company.

So, P(t) = (Profit earned from first month) + (Profit earned from remaining 11 months of the year)

= 2400 + (2.5t + 1250)

<u><em>= 2.5t + 3650</em></u>

Hence, total profit earned for the year = 2.5t + 3650.

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HELPPPPP MEEEEEE Which one is not a solution to y = 3x - 5? A. (0, –5) B. (– 1, – 2) C. (5/3, 0) D. (2, 1)
nignag [31]

Answer:

Step-by-step explanation:

Let's examine the individual things

A. x=0 --> y=3.0-5=-5 True

B. x=-1 --> y=3.(-1)-5=-8 False

C. x=5/3 -->y=3(5/3)-5=0 True

D. x=2 --> y=3.2-5=1 True

Answer is B.

You don't understand, you can ask me :)

7 0
2 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
grigory [225]
<h2>Answer:</h2>

The answer is x = 2.

<h2>Step-by-step explanation:</h2>

<u><em>* Scroll to the bottom for an explanation in list format</em></u><em> :)</em>

In this problem, our goal is to solve for x in order to identify said variable's value. To do this, we must isolate the variable x on one side, whilst the other side contains solely the value of x. The rules that we will be using for this problem are '<em>Line of Equality</em>' and '<em>PEMDAS</em>.' Line of Equality is a rule that states that what you do to one side of an inequality/equation, you must to do the other as well. PEMDAS is a mathematical acronym used as a tell-tale of sorts for order of operations - often OoO for inequalities such as this one. In PEMDAS, P stands for Parenthesis, E stands for Exponents, M stands for Multiplication, D stands for Division, A stands for Addition, and S stands for Subtraction. You use each letter in order of the spelling, with the exception that you do Multiplication and Division by whichever comes first in the equation; the same goes for Addition and Subtraction. However, when solving this inequality, we won't have to focus on the complications of P, E, or M at all.

The (original) inequality this problem gives us is 14 + 3x = 2 + 9x. Our first step is to choose which side we will isolate x to, leaving the other one to be its value. I would personally recommend isolate whichever x value is greater, but either way works. This time around, I chose to isolate 9x.

Since I've decided to isolate x on the right side (2 + 9x), that means I have to eliminate any other x values on either side of the inequality. The only other x value is 3x. Due to + 3x being adding a positive 3x, we have to counteract it by eliminating it and changing its value to 0. In this case, we can counteract + 3x by subtracting 3x (aka - 3x). Remember, the <em>Line of Equality</em> rule means we have to do the same to either side; if we subtract 3x on one side, we also have to do so on the other. 14 + 3x - 3x = 2 + 9x - 3x. +3x - 3x = 0, or 0x. 9x - 3x = 6x. After combining like terms, the new inequality is 14 = 2 + 6x.

Now, I have to eliminate any numerical values, or regular numbers (which, in this case, would be numbers without a variable attached to them), on the right side, since that is the side I want to isolate x on. The only numerical value on the right side of my inequality is 2. This 2, or + 2, can be counteracted by subtracting 2, or - 2. Our rule causes us to subtract 2 from both sides. 14 - 2 = 2 - 2 + 6x. 14 - 2 = 12. 2 - 2 = 0. After combining like terms, the new inequality is 12 = 6x.

Now, I have to simplify x and make it singular. 1x and x are the same thing, so I must make 6x into x. 6x is the same thing as 6 * x. Therefore, since 6 * x is multiplication, I have to do the opposite to get the desired result. I should divide 6x by 6 to get 6. Due to the <em>Line of Equality</em>, I also have to divide 12 by 6. 12 ÷ 6 = 6x ÷ 6. 12 ÷ 6 = 2. 6x ÷ 6 = x. After combining like terms, the new inequality is 2 = x.

Lastly, mainly for a bonus step, we should flip the places of 2 and x. This is because, similarly to most problems, this question places x on the left side of the inequality. The 2 and x in 2 = x must switch places in order to properly finish this problem. Since this inequality uses an equal sign, the symbol will remain as an = when the inequality is flipped. However, it should be noted that when using symbols such as greater than (>) or less than (<), the sign will flip with the rest of the inequality. = is a symmetrical sign, which is why it will remain the same; it is the same equivalent symbol even when flipped. After we flip the inequality, the new equation becomes x = 2. Therefore, our answer is x = 2.

<h3>For those that want a list format of the procedure for this inequality's solving - here you go: </h3>

* <u>Remember the '</u><u><em>Line of Equality</em></u><u>' Rule: What you do on one side, on the other do the same.</u>

14 + 3x = 2 + 9x

<em>Subtract 3x from both sides.</em>

14 + 3x - 3x = 2 + 9x - 3x

14 = 2 + 6x

<em>Subtract 2 from both sides.</em>

14 - 2 = (+)2 - 2 + 6x

12 = 6x

<em>Divide both sides by 6.</em>

12 ÷ 6 = 6x ÷ 6

2 = x

<em>Flip the inequality. (The sign remains the same since it's the equal sign.)</em>

x = 2

Therefore, our answer is x = 2.

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Answer: 700 Hamburgers

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Step-by-step explanation:

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2 years ago
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C has a negative answer. hope this helps
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