0.6667 converted into a fraction in simplest form

Evaluate and Solve for the variable<br> -2 = y + 5

AysviL [449]

Answer:

y = -7

Step-by-step explanation:

Minus the five from both sides

7 0

3 years ago

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Benny gets a job at a law firm with a salary of $70,000 per year after the first year his salary increases to 73,000 over the ne

Ierofanga [76]

Answer:

b(t) = 70,000 + 3000t . . . . . salary after t years; t∈{0,1,2,3,4,5,6}

Step-by-step explanation:

We can let b(t) represent Benny's salary function with t being the number of completed years at the law firm, an integer. The function's domain includes only the first 6 years at the firm.

Since Benny gets the same raise each year, The function is linear. Its "y-intercept" is Benny's initial salary, and the rate of change is Benny's annual increase:

b(t) = 70,000 + 3,000t . . . . salary in dollars after t years with the firm

6 0

3 years ago

F(x) = | 3x+1 | find the vertex of value function

PilotLPTM [1.2K]

Answer:

The vertex is the point $(-\frac{1}{3},0)$

Step-by-step explanation:

we know that

The general form of an absolute value equation is

$y=a\left|x-h\right|+k$

The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables h, and k, tell us how far the graph shifts horizontally and vertically

The vertex is the point (h,k)

we have

$f(x)=\left|3x+1\right|$

Rewrite the expression (3x+1)

$(3x+1)=\frac{3}{3} (3x+1)=3(x+\frac{1}{3})$

substitute

$f(x)=\left|3(x+\frac{1}{3})\right|$

$f(x)=3\left|(x+\frac{1}{3})\right|$

$a=3\\h=-\frac{1}{3}\\k=0$

therefore

The vertex is the point $(-\frac{1}{3},0)$

see the attached figure to better understand the problem

4 0

4 years ago

A vehicle was purchased for $64,000 when exponential depreciation is appeals at the rate of 18% per year, how much will the vehi

Lera25 [3.4K]

How am I supposed to know that

3 0

3 years ago

Taylor and Nora go to the movie theater and purchase refreshments for their friends. Taylor spends a total of $69.00 on 6 drinks

fgiga [73]

Answer:

The system if equation that can be used to derive this are

6x + 4y = 69 AND

12x + y = 96

The price of a drink is $7.5

Step-by-step explanation:

The question here says that Taylor and Nora went to the movie theater and purchase refreshments for their friends. Taylor spends a total of $69.00 on 6 drinks and 4 bags of popcorn Nora spends a total of $96.00 on 12 drinks and bag of popcorn.And we are now told to write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations,we should determine and state the price of a drink, to the nearest cent .

Now, Let's assume that the price of a drink is "X" and that of a bag of popcorn to be Y

The first person made a purchase which led to the equation

6x + 4y = 69______ equation 1

And the second person also made a purchase that lead to the equation

12x + y = 96_____ equation 2

We make y the subject of the formula in equation 2 and apply it in 1

Y = 96 - 12x

Now apply the above in equation 1

6x + 4y = 69

6x + 4(96 - 12x)= 69

6x + 384 - 48x = 69

42x = 384 - 69

X = 315/42

X = 7.5

Substitute x= 7.5 in equation 2

12x + y = 96

12(7.5) + y = 96

90 + y = 96

Y = 6

Therefore, the price of a drink is $7.5

4 0

3 years ago

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