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koban [17]
3 years ago
8

an exterminator must treat the perimeter of a house for insects if the house is 90 feet long and 30 feet wide what is the total

footage treated
Mathematics
1 answer:
Andru [333]3 years ago
6 0
240 feet. hope this helped 
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Find the constant of proportionality k. Then write an equation for the relationship between x and y
ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}

Answer:

(a) k = 5

(b) y = 5x

Step-by-step explanation:

Given

\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

(x_1,y_1) = (2,10)

(x_2,y_2) = (6,30)

The constant of proportionality k is:

k = \frac{y_2 - y_1}{x_2 - x_1}

k = \frac{30-10}{6-2}

k = \frac{20}{4}

k = 5

Solving (b): The equation

In (a), we have:

(x_1,y_1) = (2,10)

k can also be expressed as:

k = \frac{y- y_1}{x- x_1}

Substitute values for x1, y1 and k

5 = \frac{y- 10}{x- 2}

Cross multiply:

y - 10 = 5(x - 2)

Open bracket

y - 10 = 5x - 10

Add 10 to both sides

y - 10 +10= 5x - 10+10

y = 5x

6 0
3 years ago
Let f(x)=e^x and G(x)=x+6. What are the domain and range of g(f(x))?
Lena [83]

Answer:

Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively

Step-by-step explanation:

We have the functions, f(x) = eˣ and g(x) = x+6

So, their composition will be g(f(x)).

Then, g(f(x)) = g(eˣ) = eˣ+6

Thus, g(f(x)) = eˣ+6.

Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.

Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.

Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.

3 0
3 years ago
Please Help With All
xeze [42]
4. B
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8 0
3 years ago
Dan and Dave can work together to paint a house in 4 days. Dan works twice as fast as Dave. How long would it take each of them
SSSSS [86.1K]

Answer:

Dan=6 days Dave=12 days

Step-by-step explanation:

1/2x + 1/x = 1/4

multiply each by 8x bc 4 * 2x = 8x

4 + 8 = 2x

12 = 2x

6 = x

8 0
3 years ago
On a shopping trip kellen spent $3 on a bus ticket $9 on a book and $5 after the trip . How much money did he start with
BaLLatris [955]

He would have $17 9+3=12 12+5=17


4 0
3 years ago
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