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xenn [34]
3 years ago
9

DUE AT 9PM! HELP

Mathematics
1 answer:
djyliett [7]3 years ago
7 0

Answer:

$480,000

Step-by-step explanation:

Each 1,000 sq ft costs $120,000

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For funcitons f(x)=2x+3 and g(x)=-3x-2, please find (f∘g)(-1)
ratelena [41]

Answer:

\displaystyle (f\circ g)(-1) = 5

Step-by-step explanation:

We are given the two functions:
\displaystyle f(x) = 2x + 3\text{ and } g(x) = -3x - 2

And we want to find:
\displaystyle (f\circ g)(-1)

Recall that this is equivalent to:
\displaystyle (f\circ g)(-1) = f(g(-1))

Hence, find g(-1):
\displaystyle \begin{aligned} g(x) & = -3x - 2\\ \\ g(-1) & = -3(-1) - 2\\ \\ & = (3) - 2 \\ \\ & = 1 \end{aligned}

Substitute:
\displaystyle f(g(-1)) = f(1)

Find f(1):

\displaystyle \begin{aligned} f(x) & =  2x+ 3 \\ \\ f(1) & = 2(1) + 3 \\ \\ & = 5\end{aligned}

In conclusion:
\displaystyle (f\circ g)(-1) = 5

5 0
3 years ago
The line perpendicular to y= (-3/2)x -4 and goes through (1,4)
Paladinen [302]

Answer <u>(assuming it is allowed to be in point-slope format)</u>:

y-4 = \frac{2}{3}(x-1)

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, y = -\frac{3}{2} x-4. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since -\frac{3}{2} is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be \frac{2}{3}.  

2) Now, use the point-slope formula, y-y_1 = m (x-x_1) to write the new equation with the given information. Substitute m, x_1, and y_1 for real values.

The m represents the slope, so substitute \frac{2}{3} in its place. The x_1 and y_1 represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for x_1 and 4 for y_1. This gives the following equation and answer:

y-4 = \frac{2}{3}(x-1)

3 0
3 years ago
jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week.
I am Lyosha [343]

Answer:

f=17\\p=9\\

Step-by-step explanation:

Let

f= Full-time\\p=Part-time

Full time rates-$275, Part-time rates-$140

The problem can be expressed as:

f+p=26...eqtn1\\275f+140p=5935....eqtn2\\

Express eqtn1 in terms of f,f=26-p

Substitute f value in eqtn 2.

=>275(26-p)+140p=5935\\7150-275p+140p=5935\\1215=135p\\p=9\\f=26-9=17\\

Therefore,  jeds has 17 fulltime and 9 parttime employees.

8 0
3 years ago
The expression 96^2 - 95^2 is a difference of two squares. How can you use the factors (96 - 95)(96 +95) to make it easier to si
crimeas [40]
The first factor simplifies to 1 and the second factor simplifies to 191, which are very easy to evaluate. Hence,

96^2 - 95^2 = (96-95)(96+95)
= (1)(191)
= 191

the answer is 191 :)
8 0
3 years ago
Read 2 more answers
Maria and Tran each have a pet hamster. They have a maze for the
Gnoma [55]

Answer:

Tran's hamster is faster as it took his hamster 19 seconds which is 4 seconds faster than Maria's hamster. I know this because the data shows Maria's hamster took 19 second and Tran's took 15 seconds to run through the maze hence Maria's hamster was slower and Tran's won. You can  use the calculation 19-15=4 so the difference is 4.

6 0
4 years ago
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