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3 years ago

13

Anita’s vegetable garden is 21 square feet larger than Fred’s vegetable garden. Anita and Fred decide to pool their money togeth

er and buy the same kind of fencing for their gardens. If they need 84 square feet of fencing what is the size of each garden.

1 answer:

ziro4ka [17]3 years ago

5 0

Answer:

anita --> 52.5 square feet

fred --> 31.5 square feet

Step-by-step explanation:

84 - 21 = 63

63/2 = 31.5

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21. Randy owns a computer store. In 1990, he sold 150 monitors. In 2000, he sold 900

lutik1710 [3]

Answer:

$y=75x+150$

Step-by-step explanation:

Let $y$ represent the number of monitors sold.

Given:

$x$ is the number of years since 1990.

So, for the year 1990, $x=0$ .

For the year 2000, 10 years passed. So, $x=10$ .

Now, monitors sold in 1990 are 150. So, at $x=0,y=150$

Monitors sold in 2000 are 900. So, at $x=10,y=900$

Thus, the two points are $(0,150)$ and $(10,900)$ .

The slope of a line with points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

For the points $(0,150)$ and $(10,900)$ , the slope is given as:

Slope, $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\ m=\frac{900-150}{10-0}\\ m=75$

Now, the y-intercept is the point where $x=0$ . So, the point $(0,150)$ has $x$ value as 0.

So, the y-intercept is 150.

Equation of a line in slope-intercept form is given as:

$y=mx+b$

Where, $m$ is the slope and $b$ is the y intercept.

Here, $m=75$ and $b=150$ .

Therefore, the equation that represents the above data is given as:

$y=75x+150$

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The difference of 2 and the product of 3and k

allsm [11]

2-3k because the difference between something means it is subtraction and the product of 3 and k would just be 3k since you don't know what k is.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Vikki [24]

Answer:

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Step-by-step explanation:

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3 years ago

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Lapatulllka [165]

Answer:

f[g(4)] = 4

Step-by-step explanation:

Given table:

$\begin{array}{| c | c | c | c | c | c |}\cline{1-6} x & -6 & -4 & 1 & 3 & 4\\\cline{1-6} f(x) & 4 & -1 & -6 & 1 & 3 \\\cline{1-6} g(x) & 1 & 4 & 3 & -4 & -6 \\\cline{1-6}\end{array}$

f[g(4)] is a composite function.

When calculating <u>composite functions</u>, always work from inside the brackets out.

Begin with g(4): g(4) is the value of function g(x) when x = 4.

From inspection of the given table, g(4) = -6

Therefore, f[g(4)] = f(-6)

f(-6) is the value of function f(x) when x = -6.

From inspection of the given table, f(-6) = 4

Therefore, f[g(4)] = 4

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2 years ago

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