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user100 [1]
3 years ago
6

If f(x) = -7x + 5x2 + 10, what does f(-2) equal?

Mathematics
1 answer:
aksik [14]3 years ago
7 0

Answer:

f(-2) = 44

Step-by-step explanation:

Hello there! Lets get started solving this function!

For a function, whenever we see f(x) = ... , the function is simply asking the value of the equation at x! So, if replace f(x) with f(-2), we simply substitute x with -2 in the equation! Lets get started!

f(x) = -7x + 5x^{2} + 10\\f(-2) = -7(-2) + 5(-2)^{2} + 10\\f(-2) = 14 + 20 + 10\\f(-2) = 44\\

First, we can write the original function. Next, we substitute in -2 for x. Then, we find our final terms. Finally, we are given that f(-2) = 44.

Hope this helps! Remember, math is fun!

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(15, 31) is rotated 90 ° counterclockwise which coordinates gives me
dezoksy [38]

Answer:

(-31,15)

Step-by-step explanation:

Rotating 90 degrees clockwise is very simple:

(a,b) 90 degrees= (-b,a)

Very simple.

Just switch sides and add negative to the first term.

4 0
3 years ago
Use compatible numbers to estimate the quotient.<br> 486/6
Sladkaya [172]
The answer is 81. You just have to do the division in the traditional way.

8 0
4 years ago
1-73.
cricket20 [7]

36inch - 2 feet

72inch - 4 feet

144inch - 8 feet

18 X 2 = 36

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18 x 4 = 72

1 x 4 = 4

18 x 8 = 144

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8 0
3 years ago
a company owns two dealerships, both of which sell cars and trucks. the first dealership sells a total of 164 cars and trucks. t
OLEGan [10]

Answer:

294 cars.

Step-by-step explanation:

Let x be the number of cars and y be the number of trucks.

We have been given that the first dealership sells a total of 164 cars and trucks. We can represent this information as:

x+y=164...(1)

The second dealership sells twice as many cars and half as many trucks as the first dealership. So the number of cars sold by 2nd dealership will be 2x and number of trucks sold by 2nd dealership will be y/2.

Further, the 2nd dealership sold a total of 229 cars and trucks. We can represent this information as:

2x+\frac{y}{2}=229...(2)

We can see that total number of cars sold on two dealerships will be x+2x=3x.

We will use substitution method to solve for x. From equation (1) we will get,

y=164-x

Substituting this value in equation (2) we will get,

2x+\frac{164-x}{2}=229

Now let us have a common denominator.

\frac{4x}{2}+\frac{164-x}{2}=229

\frac{4x+164-x}{2}=229

Upon multiplying both sides of our equation by 2 we will get,

2\times \frac{4x+164-x}{2}=2\times 229

4x+164-x=458

4x+164-164-x=458-164

4x-x=458-164

3x=294

Therefore, the total number of cars sold by two dealerships is 294.

7 0
3 years ago
The public library has to move 42,000 books to its new location. The movers can pack an average of 45 books in every box. The tr
Anni [7]

Answer:

<h2> 934boxes</h2><h2> 4 trips</h2>

Step-by-step explanation:

Given the total number of books 42,000

Ok, firstly let us calculate the number of boxes required, given that a box can contain 45 books

number of boxes= 42,000/45  

number of boxes=933.3 boxes

approximately 934boxes

Also, given that the truck can carry online 250 boxes in one trip

then it must make 934/250= 3.7 trips

approximately the truck will make 4 trips to carry all the boxes

7 0
4 years ago
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