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AlexFokin [52]
3 years ago
10

Select the correct answer from the drop down menu

Mathematics
1 answer:
Liula [17]3 years ago
8 0

( \frac{f}{g} )(4) =  \frac{f(4)}{g(4)}  =  \frac{ {4}^{2} + 2 \times 4 - 3 }{ {4}^{2}  - 9}  =  \\  =  \frac{16 + 8 - 3}{16 - 9}  =  \frac{21}{7}

(f + g)(4) = f(4) + g(4) = 21 + 7 = 28

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Which is the equation of the linear model?
Zielflug [23.3K]
The answer is B. y =  0.75 + 2.25. because i've done this assement.

3 0
3 years ago
One month Ravi rented4 movies and8video games for a total of $57 The next month he rented2 movies and3 video games for a total o
e-lub [12.9K]

SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

\begin{gathered} \text{Month 1: }4m+8v=57 \\ \text{Month 2: }2m+3v=23 \end{gathered}

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

\begin{gathered} 4m+8v=57----(1) \\ 2m+3v=23----(2) \\ \text{ multiply equation 1 by 2 and equation 2 by }4 \\ 8m+16v=114----(3) \\ 8m+12v=92----(4) \\ \text{subtract equation (4) from equation (3)} \\ 4v=22 \\ v=\frac{22}{4}=5.5 \\ \text{Substitute 5.5 for v in equation 1 to get the value of m} \\ 4m+8v=57 \\ 4m+8(5.5)=57 \\ 4m+44=57 \\ 4m=57-44=13 \\ m=\frac{13}{4}=3.25 \\ m=\text{\$}3.25,v=\text{\$}5.50 \end{gathered}

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

8 0
1 year ago
A restaurant has 5 pizza toppings to choose from. How many different 2-topping pizzas are possible?
horsena [70]
10


Because if you do 5•2 you get 10

More in depth explanation:

Though there are 25 possible configurations the question asks for two different toppings together. It also asks for unique combinations. So AB and BA are the same combination in this context. The only unique possibilities are

AB
AC
AD
AE
BC
BD
BE
CD
CE
DE

It is easy to simplify this into 5•2 for this situation. And if the question asked for three toppings you would do 5•3.

However if the question asked for the configurations for two toppings then you would do 5•5 and if it asked for the configurations of 3 toppings you would do 5•5•5
5 0
3 years ago
ABCD is a rectangle. Rectangle A B C D is shown. All angles are right angles. The length of A D is 5 and the length of D C is 12
sashaice [31]

Answer: 13

Step-by-step explanation:

I used Pythagorean theorem to solve this problem. As DC and AD is 12 and 5, you would do 12²+5²= c². 12²= 144 and 5²= 25. 144+25= 169. It doesn't end there. Do the square root of 169 ---> √169=13.

3 0
3 years ago
Decrease 40 pounds by 15% =
Lady_Fox [76]
15% of 40 is 6 
Hope this helps :D
7 0
3 years ago
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