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abruzzese [7]
3 years ago
15

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

Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0

Answer:

44

Step-by-step explanation:

f(x) = -7x + 5x^2 + 10

f(-2) = -7(-2) + 5(-2)^2 + 10

= 14 + 20 + 10

= 44

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The drama club is selling tickets for a play. The profit, y, is
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Answer:

80 tickets

Step-by-step explanation:

Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of  tickets, x, that need to be sold for the drama club to break  even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;

y = x^2 – 40x – 3,200,

0 = x^2 – 40x – 3,200,

x^2 – 40x – 3,200 = 0

x^2 – 80x  + 40x – 3,200 = 0

x(x-80)+40(x-80) = 0

(x+40)(x-80) = 0

x = -40 and x = 80

x cannot be negative

Hence the total number of  tickets, x, that need to be sold for the drama club to break  even is 80 tickets

8 0
2 years ago
Find last year’s salary if this year’s salary is $48,200 after a 3% pay raise ?
viktelen [127]

Answer:

49646

Step-by-step explanation:

6 0
3 years ago
city workers are paving a street that is 1 1/2 miles long. if they repave 1/4 mile per day, how long will it take to repave the
Pie
The question is to find out how many times 1/4 is equal to 1 1/2
First lets convert the total:
1 1/2 = 2/2 + 1/2 = 3/2
now we need to find out a number that multiplied by 1/4 gives 3/2, that is an equation:
(1/4)x = 3/2
and solving for x:
x = (3/2)*4
x = 12/2
x = 6
therefore they will take 6 days to repave the whole street
7 0
2 years ago
Find the area of the shape shown<br> below.
Allisa [31]

Answer:

The area of the figure is 28 units².

Step-by-step explanation:

Find the area of the full rectangle, ignoring the triangle.

a = lw \\ a = 4 \times 8 = 32

Then, find the area of the triangle:

a =  \frac{bh}{2}  \\ a =  \frac{2 \times 4}{2}  \\ a = 4

Finally, subtract:

32 - 4 = 28

7 0
2 years ago
Gia is painting her wall. 1 liter of paint can cover 10 square meters. She has a rectangular wall that
garik1379 [7]
5*4 equals 20 so her wall is 20 square meters
Given that one litre can cover 10 square meters, she needs 2 litres of paint to cover the wall
7 0
3 years ago
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