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3 years ago

Name the remainder for the quotient and describe or show how you found the remainder.

Mathematics

1 answer:

WARRIOR [948]3 years ago

7 0

Answer:

remainder = 0

Step-by-step explanation:

Using the remainder theorem

If f(x) is divided by (x - h) then the remainder is f(h)

Here f(x) = x³ - x² - 17x - 15 and h = 5 , thus

f(5) = 5³ - 5² - 17(5) - 15 = 125 - 25 - 85 - 15 = 0 ← remainder

Since remainder is zero then (x - 5) is a factor of f(x)

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Find (f ∘ g)(-6) when f(x) = 9x + 2 and g(x) = -9x2 - 2x + 1.

Salsk061 [2.6K]

Given that the two functions are $f(x)=9x+2$ and $g(x)=-9x^2-2x+1$

We need to determine the value of $(f \circ g)(-6)$

The value of $(f \circ g)(x)$ :

The value of $(f \circ g)(x)$ can be determined using the formula,

$(f \circ g)(x)=f[g(x)]$

Substituting $g(x)=-9x^2-2x+1$ in the above formula, we get;

$(f \circ g)(x)=f[-9x^2-2x+1]$

Now, substituting $x=-9 x^{2}-2 x+1$ in the function $f(x)=9x+2$ , we get;

$(f \circ g)(x)=9(-9x^2-2x+1)+2$

$(f \circ g)(x)=-81x^2-18x+9+2$

$(f \circ g)(x)=-81x^2-18x+11$

Thus, the value of $(f \circ g)(x)$ is $(f \circ g)(x)=-81x^2-18x+11$

The value of $(f \circ g)(-6)$ :

The value of $(f \circ g)(-6)$ can be determined by substituting x = -6 in the function $(f \circ g)(x)=-81x^2-18x+11$

Thus, we have;

$(f \circ g)(-6)=-81(-6)^2-18(-6)+11$

$(f \circ g)(-6)=-81(36)-18(-6)+11$

$(f \circ g)(-6)=-2916+108+11$

$(f \circ g)(-6)=-2797$

Thus, the value of $(f \circ g)(-6)$ is -2797

Hence, Option B is the correct answer.

8 0

4 years ago

Help me understand this and what is right!!!!! Brainliest.

Alborosie

Answer:

the first one

Step-by-step explanation:

Think of it this way. If it needs to be greater than -11, that means there is some kind of restraint. that would be in this situation, its under a square root. if you plug in -11, it should equal 0, so it has to be x+11 under square root. The second one wouldn't work since that would make it square root of -22 and thats imaginary, same thing with all the others, when you plug in -11, the last 3 would come negative. the first one is the only one that cancels the negative and gives you 0

5 0

3 years ago

Read 2 more answers

In the cafeteria, 70 milk cartons were put out for breakfast. After breakfast, there were 60 milk cartons

aev [14]

Answer:

1. The ratio of milk cartons taken to total milk cartons,

70 - 10 = 60 were taken

73/100 is the ratio of milk cartons taken to total milk cartons

2. The ratio of milk cartons remaining to milk cartons taken

10 / 60 is the ratio of milk cartons remaining to milk cartons take

4 0