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VikaD [51]
3 years ago
14

A group of people played a trivia game.

Mathematics
1 answer:
damaskus [11]3 years ago
4 0
9
7,7,8,8,9,9,9,10,10
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Please help!!!!
Yakvenalex [24]

Answer:

  D.  X-7

Step-by-step explanation:

The table tells you that when x=7, g(x) = 0. In order for g(7) to be zero, at least one factor must be zero when x=7. The only factor on the list that is zero when x=7 is (x-7).

6 0
3 years ago
How would you solve these 2 maths problems?
sweet-ann [11.9K]

Answer:

see explanation

Step-by-step explanation:

(9)

Expand and simplify right side and compare coefficients of like terms on left side.

(x - 2)(x² + ax + b) + c

= x³ + ax² + bx - 2x² - 2ax - 2b + c

= x³ + x²(a - 2) + x(b - 2a) - 2b + c

compare with

x³ + 2x² - 3x + 4

x² terms

a - 2 = 2 ( add 2 to both sides )

a = 4

x terms

b - 2a = - 3 ← substitute a = 4

b - 8 = - 3 ( add 8 to both sides )

b = 5

constant terms

- 2b + c = 4 ← substitute b = 5

- 10 + c = 4 ( add 10 to both sides )

c = 14

Thus a = 4, b = 5 and c = 14

-------------------------------------------------

(10)

Since both functions cross the x- axis at - 2 then (- 2, 0) satisfies both, that is

f(- 2) = (-2)^{4} + a(- 2)³ + b(- 2)² + 36(- 2) + 144 = 0, that is

- 16 - 8a + 4b - 72 + 144 = 0

- 8a + 4b + 56 = 0

- 8a + 4b = - 56 → (1)

and

g(- 2) = (-2)^{4} + (a + 3)(- 2)³ - 23(- 2)² + (b + 10)(- 2) + 40 = 0, that is

- 16 - 8(a + 3) - 92 - 2(b + 10) + 40 = 0

- 16 - 8a - 24 - 92 - 2b - 20 + 40 = 0

- 8a - 2b - 112 = 0

- 8a - 2b = 112 → (2)

Subtract (1) from (2) term by term

- 6b = 168 ( divide both sides by - 6 )

b = - 28

Substitute b = - 28 into (2)

- 8a + 56 = 112 ( subtract 56 from both sides )

- 8a = 56 ( divide both sides by - 8 )

a = - 7

Thus a = - 7 and b = - 28

5 0
3 years ago
Which statement describes the behavior of the function f(x)=3x/4-x?
Oksana_A [137]

Answer:

The  graph approaches –3 as x approaches infinity. Option a is correct.

Step-by-step explanation:

The given function is

f(x)=\frac{3x}{4-x}

We have to find value of function as x approaches infinity. Take limit both sides as x approaches to infinity.

\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{4-x}

Taking x common from the denominator.

\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{x(\frac{4}{x}-1)}

Cancel out common factor x.

\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3}{\frac{4}{x}-1}

Apply limits.

\lim_{x\rightarrow \infty}f(x)=\frac{3}{\frac{4}{\infty}-1}

\lim_{x\rightarrow \infty}f(x)=\frac{3}{0-1}

\lim_{x\rightarrow \infty}f(x)=-3

Therefore the  graph approaches –3 as x approaches infinity.

7 0
3 years ago
Read 2 more answers
Is 2750 a reasonable answer for 917 times 33
hodyreva [135]
No because 917 times 33 is 30261
6 0
3 years ago
The vertex from of the equation of a parabola is y = (x - 3)2 + 36 what is tge standard form of the equation
Misha Larkins [42]
Multiply it out and collect terms.
  y = (x - 3)² + 36
  y = (x² -6x +9) +36
  y = x² -6x +45
6 0
2 years ago
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