1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leni [432]
3 years ago
12

CAN SOMEONE HELP PLZZZZ ALGEBRA

Mathematics
2 answers:
alekssr [168]3 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]3 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!

You might be interested in
If a1 = 9 and and an-1 - 5 then find the value of a6.
SCORPION-xisa [38]

Answer:

a1 = 6 and an = an-1 - 5

a2 = a2-1 - 5 = a1 - 5 = 1

a3 = a3-1 - 5 = a2 - 5 = -4, etc

Step-by-step explanation:

8 0
2 years ago
In geometry, you will learn that supplementary angles add up to 180 degrees. Therefore, if two angles have exterior rays that li
Ipatiy [6.2K]
50 I hope this helps!
8 0
3 years ago
Anne is painting her house light blue. To make the color she wants, she must add 3 cans of white paint to every 2 cans of blue p
GuDViN [60]

Answer:

9 cans of white paint

Step-by-step explanation:

To solve this you can set up a ratio.

The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.

\frac{3}{2}  = \frac{?}{6}

We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.

6 0
3 years ago
A spinner has 10 10 ​equal-sized sections. Six Six of the sections are purple purple. a. What is the probability that the spinne
borishaifa [10]

Answer:

P(Spinner lands on purple section) = 0.6 = 60%

Step-by-step explanation:

We are given the following in the question:

Number of sections = 10

Number of purple sections = 6

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

a) probability that the spinner will land on purple purple

P(purple) =

=\dfrac{6}{10} = 0.6

0.6 is the probability that the spinner will land on purple purple.

b) Interpretation of probability

0.6\times 100\% = 60\%

There is a 60% chance that the spinner will land on purple color.

7 0
2 years ago
If seven x multiple by 3 is 63, what is x?
mezya [45]

Answer:

63 divided by 3 is 21 so x=21

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • I need help can somebody help
    13·1 answer
  • How do I solve this step by step?
    12·1 answer
  • Determine when the cost of the two services will be the same amount, and what the price will be.
    10·1 answer
  • If the mix ratio for a certain chemical is 1:6 when it is mixed with water (chemical:water), how much water would be mixed with
    13·1 answer
  • | 12) 5124.<br><br><br><br> What is 12 divided by 5124
    9·2 answers
  • Bernard is training for a race . He performs the same exercise routine every day. In a 7 day week does Bernard spend more time w
    10·1 answer
  • Find the general form, Ax2+Ay2+Dx+Ey+F=0, by identifying the coefficients A,D,E,&amp;F center:(0,1); r=1 (x-0)2+(y-1)2=1 x2+y2-2
    9·2 answers
  • John has 48 square centimeter tiles he wants to use to
    13·2 answers
  • Enrique says that when you know the diameter of a circle you can find the radius. how can find the radius. How can he find the l
    7·1 answer
  • A shipping box in the shape of a rectangular prism has the dimension shown.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!