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dlinn [17]
3 years ago
9

At the salad bar, the grocery store charges $5.99 for each half pound you buy. Which variable is dependent?

Mathematics
1 answer:
son4ous [18]3 years ago
7 0

Answer:

See below.

Step-by-step explanation:

cost = function of the number of half pounds you buy

Let n = number of half pounds you buy.

Let c = cost.

The cost function is

c = 5.99n

n is the independent variable. The number of half pounds you buy is any number you choose. Once you have a fixed number for n, then c depends on that number.

c is the dependent variable.

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1) Solve the following equations : a)x/5 + 10 =15 b) 25x + 26 = 101
julia-pushkina [17]

Answer:

1a) 25, 1b) 3, 2a) 14, 2b) 4

Step-by-step explanation:

1a)

x/5 + 10 = 15

Subtract 10 from both sides:

x/5 = 15 - 10

x/5 = 5

Multiply both sides by 5:

x = 5 * 5

x = 25

1b)

25x + 26 = 101

Subtract 26 from both sides:

25x = 101 - 26

25x = 75

Divide both sides by 25:

x = 75/25

x = 3

2a)

Four less than a number is 10.

Let's call the number x. This means:

x - 4 = 10

Now add 4 to both sides:

x = 10 + 4

x = 14

2b)

The product of three and a number equals 12.

Let's call the number x. This means:

3 * x = 12

Now divide both sides by 3:

x = 12/3

x = 4

4 0
3 years ago
Consider the line y=-4x+5.
Eddi Din [679]

Answer: y=-4x-13

Step-by-step explanation:

To find the parallel line, we know that the slope must stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST be the same. All we have to do is to find the y-intercept by plugging in the given point.

-5=-4(-2)+b           [multiply]

-5=8+b                  [subtract both sides by 8]

b=-13

Now, we know that the equation is y=-4x-13.

6 0
3 years ago
If one is subtracted from seven times a certain number,
prohojiy [21]

Answer:

The number is 8

Step-by-step explanation:

5 0
3 years ago
3x2 + 5x - 7 = 0 is a quadratic equation.<br> True<br> False
meriva

Answer:

True

Step-by-step explanation:

Quadratic equations have the highest degree on x as 2. The given equation has 3x^2, meaning that it is quadratic.

8 0
3 years ago
Find the equation of a line that passes through (-2,4) and (1,-2)
Basile [38]

\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-2)}}}\implies \cfrac{-6}{1+2}\implies \cfrac{-6}{3}\implies -2

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-2}[x-\stackrel{x_1}{(-2)}]\implies y-4=-2(x+2) \\\\\\ y-4=-2x-4\implies y = -2x

8 0
3 years ago
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