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mihalych1998 [28]
3 years ago
10

I need help with this question...

Mathematics
1 answer:
romanna [79]3 years ago
8 0

Answer:

57 inches

Step-by-step explanation:

It rained 5*6.5+7*3.5=32.5+34.5=57 inches in the past 12 days

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How long will it take Greg to earn $500.00 round to the nearest hour
Mrrafil [7]

Answer:

56 hours

Step-by-step explanation:

we know that  

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

Let

x -----> the number of hours

y ----> the amount earned in dollars

This problem represent a proportional relationship between the variable x and the variable y

Find the value of the constant of proportionality k

k=y/x

For (3,27) ----> k=27/3=9\ \$/h

For (9,81) ----> k=81/9=9\ \$/h

For (21,189) ----> k=189/21=9\ \$/h

The constant of proportionality k is 9

The linear equation is

y=9x

For y=$500

substitute in the equation and solve for x

500=9x

Divide by 9 both sides

x=56\ hours

5 0
2 years ago
F(x) = 3x + 1<br> f(2)=?
ANEK [815]

Answer: 7

Step-by-step explanation:

f(x) 3x+1

f(2) = 3(2) +1

f(2) = 6+1

     = 7

7 0
3 years ago
F(x)= x-2/ x-4
hodyreva [135]

Answer:

The discontinuity is x = 4

There no holes

The equation of the vertical asymptote is x = 4

The x intercept is 2

The equation of the horizontal asymptote is y = 1

Step-by-step explanation:

* Lets explain the problem

∵ f(x)=\frac{x-2}{x-4}

- To find the point of discontinuity put the denominator = 0 and find

 the value of x

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

* The discontinuity is x = 4

- A hole occurs when a number is both a zero of the numerator

 and denominator

∵ The numerator is x - 2

∵ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

∵ There is no common number makes the numerator and denominator

   equal to 0

∴ There no holes

- Vertical asymptotes are vertical lines which correspond to the zeroes  

  of the denominator of the function

∵ The zero of the denominator is x = 4

∴ The equation of the vertical asymptote is x = 4

- x- intercept is the values of x which make f(x) = 0, means the

 intersection points between the graph and the x-axis

∵ f(x) = 0

∴ \frac{x-2}{x-4}=0 ⇒ by using cross multiplication

∴ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

* The x intercept is 2

- If the highest power of the numerator = the highest power of the

 denominator, then the equation of the horizontal asymptote is

 y = The leading coeff. of numerator/leading coeff. of denominator

∵ The numerator is x - 2

∵ The denominator is x - 4

∵ The leading coefficient of the numerator is 1

∵ The leading coefficient of the denominator is 1

∴ y = 1/1 = 1

* The equation of the horizontal asymptote is y = 1

6 0
3 years ago
The length of a rectangle is x feet. Its width is (x-7) feet. Draw and label a rectangle to represent this situation. Then write
a_sh-v [17]

Answer:

Perimeter of rectangle:

(4x - 14)\text{ feet}            

Step-by-step explanation:

We are given the following in the question:

Length of rectangle:

x\text{ feet}

Width of rectangle:

(x-7)\text{ feet}

Perimeter of rectangle:

2\times \text{(Length + Width)}

Expressions to calculate perimeter

1. ~2((x) + (x - 7))\text{ feet}\\2.~2(2x-7)\text{ feet}\\3.~ 4x-14\text{ feet}

The attached image shows the image of the rectangle.

3 0
3 years ago
Please help me with this!!!
guajiro [1.7K]

Answer: 41

Step-by-step explanation:

9*(-2)*(-2) - 4*(-2) - 3 = 9*4 + 8 - 3 = 36 + 5 = 41

3 0
3 years ago
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