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lubasha [3.4K]
3 years ago
15

2. Let f(x) = 2x² + 2. Find each of the following: a. f(-3) b. f(6) c. f(-1) d. f(4)

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
7 0

Answer:  The answers are in the steps please look carefully.

Step-by-step explanation:

To solve for each value input the value into the function and solve to find f(x)

A. f(-3) = 2(-3)^2 + 2

   f(-3)  = 2(9) + 2

    f(-3) = 18 + 2  

    f(-3) = 20

B.      f(6) = 2(6)^2 + 2

        f(6) = 2(36) + 2

        f(6) = 72+ 2

        f(6) = 74

C.      f(-1) = 2(-1)^2 + 2

        f(-1) = 2(1)  + 2

        f(-1)=  2 + 2

        f(-1) = 4

D.     f(4) = 2(4)^2 + 2

       f(4) = 2(16)  + 2

       f(4) = 32 + 2

       f(4) = 34

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2. A book with a green sticker costs $2 less than half the price of a
Damm [24]

For this case we can propose an equation that will allow us to find the price of one of the books knowing the price of the other.

x: Let the variable that represents the price of the book with a green sticker

y: Let the variable that represents the price of the book with a yellow sticker

According to the statement we have:

x = \frac {y} {2} -2\\

y=2(x+2)

Finally, we can substitute the price of one of the books and clear the value of the other as the case may be.

Answer:

x = \frac {y} {2} -2

8 0
3 years ago
Mr. Williams can grade 50 essays in 7 hours. His assistant, Mr. Wilfred, can do the same job in 14 hours. His other assistant, M
Elza [17]

Answer:

13.44 or 13 11/25 hours

Step-by-step explanation:

First use this format: number of essays/hours

- they are asking if all three work together, how many hours would it take, so this means addition:

50/7 + 50/14 + 25/6 = 200/x

Second, solve:

- least common multiple: 42

300/42 + 150/42 + 175/6 = 200/x

625/42 = 200/x

- cross-multiply

625x = 8,400

x = 336/25 = 13 11/25 = 13.44 (any one of these answers would work)

5 0
3 years ago
Pls help me fast and give me the steps pls<br> 1+7p-40=80
valentinak56 [21]

Answer:

17

Step-by-step explanation:

1+7p-40=80

-39+7p=80 Move constant to the right

7p=80+39 add the numbers

7p=119 divide both sides by 7

4 0
3 years ago
Read 2 more answers
Quadrilateral PAID is a rectangle whose diagonals have the endpoints P(-3, -2)I(4, -7) and A(4, -2)D(-3, -7). Find the diagonals
BARSIC [14]

Answer:

(0.5,-4.5)

Step-by-step explanation:

The given rectangle has diagonals have the endpoints P(-3, -2) ,I(4, -7) and A(4, -2) ,D(-3, -7)

The diagonals of the rectangle bisect each other so we use the midpoint formula to find their point of intersection.

The midpoint formula is;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We use any pair of endpoints of the diagonals to find the point of intersection.

Using A(4, -2) ,D(-3, -7)

(\frac{4+-3}{2},\frac{-2+-7}{2})

(\frac{1}{2},\frac{-9}{2})

or

(0.5,-4.5)

7 0
4 years ago
Kinda need help with 9,10,11 ...
Rasek [7]
...just write the angles that are congruent...And it says this is middle school,but this is elementary school problems...
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3 years ago
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