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andre [41]
3 years ago
12

which equation, written in standard form correctly represents this scenario and indicates what the variables represent?

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0

The answer is the third option.

The explanation is shown below:

1. You must keep on mind the information given in the exercise:

- She bough 3 pounds of coffee.

- She bought 2 pounds of chocolate.

- She spent a total of $24.

2. Therefore, you can call the price per pound of coffee x and the price per pound of chocolate y.

3. When you multiply 3 pounds by the price per pound of coffee, you obtain the amount of money she spent for 3 pounds. When you multiply 2 pounds by the price per pound of chocolate, you obtain the amount of money she spent for 2 pounds. If you add both amounts, you obtain the total spent, which was $24.

4. Therefore, you can express this as following:

3x+2y=24

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Let f(x)= x^2-4x-c. Find a nonzero value of c such that f(c)=c.​
Dimas [21]

Answer:

The nonzero value of c will be:

  • c = 6

Step-by-step explanation:

Given the function

f\left(x\right)=\:x^2-4x-c

f\left(c\right)=\:c^2-4c-c

as

f(c) = c

so

c=\:c^2-4c-c

switching the sides

c^2-4c-c=c

subtract c from both sides

c^2-4c-c-c=c-c

c^2-6c=0

c\left(c-6\right)=0

Using the zero factor principle

\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

c=0\quad \mathrm{or}\quad \:c-6=0

so, the solutions to the quadratic equations are:

c=0,\:c=6

Therefore, a nonzero value of c will be:

  • c = 6
5 0
3 years ago
(-14x+14)1/2+14x use distributive property <br> Help please
brilliants [131]

1/2(-14x + 14) + 14x

<em><u>Distributive property.</u></em>

-7x + 7 + 14x

<em><u>Combine like terms.</u></em>

7x + 7 (This is the simplified answer.)

7 0
3 years ago
The following table shows how the average constituency changes for two regional governing boards, joshua and salinas, when a new
AVprozaik [17]

The relative unfairness of an apportionment that gives a new board member to joshua rather than to salinas will be

<h3>How to calculate the values?</h3>

The relative unfairness of an apportionment that gives a new board member to joshua rather than to salinas will be:

= (1520 - 1232)/1232

= 288/1232

= 0.234

The relative unfairness of an apportionment that gives a new board member to salinas rather than to Joshua will be:

= (1448 - 1333)/1333

= 115/1333

= 0.086

The regional governing board that should receive the new board member is Salinas.

Learn more about tables on:

brainly.com/question/3632175

#SPJ1

5 0
2 years ago
Find the slop of the line​
Goshia [24]

Answer:

5/4 is your slope.

Step-by-step explanation:

5-0= 5

4-0= 4

slope is chang in y over change in x. Your first point is (0,0) and you second is (4,5).

6 0
3 years ago
A club sold $555 worth of
anastassius [24]

Answer:

111

Step-by-step explanation:

$555 ÷ $5 = 111

sorry I'm not good at explaining

6 0
3 years ago
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