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
myrzilka [38]
2 years ago
15

Find k. ..................​

Mathematics
2 answers:
Nonamiya [84]2 years ago
6 0

Answer:

k = -10

Explanation:

f(x) = 4x³ - 3kx² + 44x - 30

The divisor is:

  • (x - 2)

Set divisor to zero:

  • (x - 2) = 0
  • x = 2

Insert this into equation.

⇒ 4(2)³ - 3k(2)² + 44(2) - 30 = 210

⇒ 32 - 12k + 88 - 30 = 210

⇒ -12k + 90 = 210

⇒ -12k = 210 - 90

⇒ -12k = 120

⇒ k = 120/-12

⇒ k = -10

Llana [10]2 years ago
4 0

<u>Answer:</u>

k = -10

<u>Step-by-step explanation:</u>

From the remainder theorem, we know that the remainder, 210, is equal to f(2).

∵ f(2) = 210 ,

⇒  4(2)^3 - 3 k(2)^2+44(2) - 30 = 210

⇒  32 -12k + 88 - 30 = 210

⇒  90 - 12k = 210

⇒  -12k = 120

⇒  k = -10

You might be interested in
The width of a rectangle is 12 inches more than the length. The perimeter is 76 inches. Find the width and the length.
stira [4]

Answer:

The length of the rectangle is 13 inches and its width (13 + 12) is 25 inches.

Step-by-step explanation:

You have to consider the formula of the perimeter = 2·length + 2·width.

If we call "x" to the length ⇒ width = x + 12 .

Perimeter = 2x + 2·(x + 12) ⇒ Perimeter = 2x + 2x + 24

⇒Perimeter = 4x + 24. ⇒ 76 = 4x + 24 ⇒ 76 - 24 = 4x ⇒52 = 4x

⇒ 52/4 = x ⇒ x = 13.

So, the length of the rectangle is 13 inches and its width (13 + 12) is 25 inches.

3 0
3 years ago
What is the area of a shape with points a 5 -8 b 11, -8 c 11,0 d 6,-3 e 4,-3
Dmitriy789 [7]

Answer:

Area of the given figure is 51.5 square units.

Step-by-step explanation:

Area of rectangle OCBH = Length × width

                                         = 11 × 8

                                         = 88 square units

Area of trapezoid OGEF = \frac{1}{2}(b_1+b_2)\times h

                                         = \frac{1}{2}(\text{GE+OF)}\times (\text{OG})

                                         = \frac{1}{2}(3+6)\times 4

                                         = 18 units²

Area of trapezoid GCDE = \frac{1}{2}(\text{GC+DE)}\times (\text{GE})

                                         = \frac{1}{2}(7+2)\times 3

                                         = 13.5 units²

Area of triangle AFH = \frac{1}{2}(\text{Base})\times (\text{Height})

                                  = \frac{1}{2}(5)(2)

                                  = 5 units²

Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)

                                           = 88 - (18 + 13.5 + 5)

                                           = 88 - 36.5

                                           = 51.5 units²

Therefore, area of the given polygon is 51.5 units²

3 0
3 years ago
IHELP if 1 out of 5 animals are cats then how many cats are there in an ecosystem of 200 animals???​
mote1985 [20]
There are 40 cats in the ecosystem.

You set 1/5 equal to x/200. Then you cross multiply the fractions to get 5x=200. You divide both terms by 5 to get x, which equals 40.

3 0
3 years ago
Hi everyone! I have a question!
Tju [1.3M]

Answer:

7π

Step-by-step explanation:

SO first find the area of the whole circle

which has a radius of 3

a=πr^2

So 3^2=9

9π

Now the two circles which are the same in area due to having the same radius

so if you plug in the 1 for radius the answer would just be π or 1π

now multiply that by 2 becuase there are 2 identical circles

π*2=2π

Now subtract

9π-2π=7π

3 0
3 years ago
Read 2 more answers
What is the constant of proportionality in the equation y=3I
cupoosta [38]

Answer:

31

Step-by-step explanation:

y=kx

8 0
3 years ago
Other questions:
  • You buy 12 tickets and the total is $120. a student ticket is $9 and an adult ticket is $12. how many student tickets did you bu
    11·1 answer
  • If az = 8 and an = -3an-1 then find the value of a4.​
    6·1 answer
  • Write the polynomial −11x^3 − 2 − 9x^5 − 4x^2 − 6x^4 − 14x in standard form. Then give the leading coefficient. HELP ASAP! 
    6·2 answers
  • If there are 3.5 boxes of Lettie in the coole, and there is four bags in a box how many is left over
    6·1 answer
  • a plant was 46 centimeters tall after a month are grown 7% taller how tall was the plant after a month
    5·1 answer
  • Simplify the following expression 11^7/11^4
    9·1 answer
  • How is the graph of the parent function, y = StartRoot x EndRoot transformed to produce the graph of y = StartRoot negative 2 x
    12·2 answers
  • Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
    6·1 answer
  • -72.5 rational or irrational
    14·1 answer
  • 2. If A and B are square matrices of the same order, then (A + B) (A - B) is equal to (a) A²– B² (b) A– BA – AB - B² (c) A² - B²
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!