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Naddika [18.5K]
3 years ago
7

What is the value of k if 2x^3-3x^2+kx-4 is divided by x-3 and gives a remainder of -7?

Mathematics
1 answer:
Alik [6]3 years ago
4 0

By the polynomial remainder theorem, the remainder upon dividing a polynomial p(x) by x-c is the same as the value of p(c).

Here p(x)=2x^3-3x^2+kx-4 and c=3. We have

p(3)=23+3k=-7\implies k=-10

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A restaurant sells 33 bowls of soup every 3 days. At this rate, about how many bowls of soup can the restaurant sell in 7 days?
Verizon [17]

Answer:

77 bowls of soup

Step-by-step explanation:

if you divide 33 bowls by 3 days, you find that they sell 11 bowls of soup per day. multiply 11 by the 7 days to find that they sell 77 bowls of soup.

8 0
2 years ago
2. A(n) _______________ system is a system of equations with an infinite number of solutions.
Anna11 [10]

Answer:

If a system has infinitely many solutions, then the lines overlap at every point. In other words, they're the same exact line! This means that any point on the line is a solution to the system. Thus, the system of equations above has infinitely many solutions.

Step-by-step explanation:

4 0
2 years ago
Write an exponential function in the form y = ab^x that goes through points (0,20) and (2,320).
ExtremeBDS [4]

Answer:

y = 20*4^x

Step-by-step explanation:

to find the value of the constants a and b, we just need to use the points given in the equation and solve the system of equations:

point (0,20): x = 0 and y = 20:

20 = a*b^0 = a*1 = a

a = 20

point (2,320): x = 2 and y = 320

320 = 20 * b^2

b^2 = 16

|b| = 4

b = 4 or b = -4

So we have two exponencial equations that pass through these points:

y = 20*4^x and y = 20*(-4)^x

As the questions asks for just one equation, we can answer y = 20*4^x

8 0
3 years ago
Read 2 more answers
Can ya do the work for 83 divided by 9296, thanks.
Taya2010 [7]

83/9296= 0.008


I hope that's help !

3 0
3 years ago
Read 2 more answers
Rewrite y + 3 = 0 using function notation.
Leni [432]
F(x) basically just substitutes the "y"
so you would bring everything over to one side
y + 3 = 0
subtract 3
y = -3
then 
f(x) = -3

That is B)
3 0
3 years ago
Read 2 more answers
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