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Leni [432]
2 years ago
12

CAN SOMEONE HELP PLZZZZ ALGEBRA

Mathematics
2 answers:
alekssr [168]2 years ago
7 0

Answer:

Step-by-step explanation:

The remainder theorem says that when you put the integer part of the binomial for the value of x in f(x),  you can solve for the remainder.

f(x) = x^3 - 4x + k is divided by (x - 5) means that 5 is put into f(x)

f(5) = x^3 - 4x + k  now put 5 into x on the right

f(5) = 5^3 - 4(5) + k

f(5) = 125 - 20 + k = 91

f(5) = 105 + k = 91

105 + k = 91                Subtract 105 from both sides

k = 91 - 105

k = -14

babunello [35]2 years ago
5 0

Answer: <em>K = 196</em>

Step-by-step explanation:

We are given the equation f(x) = x^{3} -4x+k, and we are also given the fact the the 91 is left when the value of x = -5. We have to find the value of k.

1. The first step is to substitute the x for -5.

2. After substituting the x for -5 in all places, ad<em> =91</em> to make it an equation because we know that 91 will remain. After that, simplify the equation.

<em>-4(-5) becomes 20 because multiplying a negative factor by itself or another negative factor makes the product a positive.</em>

<em />

3. Once finished simplifying, add 105 to both sides of the equation in order to get the variable by itself.

1. f(x) = x^{3} -4x+k

   -5^{3} -4(-5)+k

2. -5x^{3} -4(-5)+k = 91

   -125+20+k=91

    -105+k=91

3.  <u>-105</u> + k =<u> 91</u>

    +105      +105

     k = 196

Hope this helps!

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Match each equation with its solution set.
taurus [48]

Answer:

1- The solution of I2x + 5I = 9 is {-7 , 2}

2- The solution of I2x + 7I + 2 = 11 is {-8 , 1}

3- The solution of I5 - xI = 6 is {-1 , 11}

4- The solution of I6x - 8I + 7 = 5 is ∅

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Step-by-step explanation:

* At first lets explain the meaning of IxI = a

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* The solution of Ix + 3I = 12 is {-15 , 9}

6- ∵ Ix - 3I = -12

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