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Ira Lisetskai [31]
3 years ago
14

Please help me with the question.

Mathematics
2 answers:
tiny-mole [99]3 years ago
8 0

Answer:

Step-by-sf(-5)=17

tep explanation:

Let Q(x) be the quotient of \frac{f(x)}{x+5}.

Let R be the remainder. R is a constant real number because we are dividing by a linear factor, x+5.

\frac{f(x)}{x+5}=Q(x)+\frac{R}{x+5}

Multiply both sides by (x+5):

f(x)=Q(x)(x+5)+R

Substitute x=-5:

f(-5)=Q(x)(-5+5)+17  (We were given R=17 since they did say the remainder is 17.)

f(-5)=Q(x)(0)+17

f(-5)=17

Firdavs [7]3 years ago
5 0

Answer:

  f(\boxed{-5})=\boxed{17}

Step-by-step explanation:

The remainder theorem tells you that f(a) is the result of division of f(x) by (x-a).

Here, you have f(x)/(x+5) = 17, so a=-5 and f(-5) = 17.

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3. Two linear functions are shown below. Which function has the greater rate of change? Justify your response LOOK AT PIC! plz h
Rainbow [258]

Answer:

Function B has the greater rate of change

Step-by-step explanation:

Function A has a slope of 1/3

Function B has a slope of 1/2

When comparing slopes, the higher value has the greater rate of change

1/2 > 1/3

7 0
3 years ago
A restaurant menu has five kinds of soups, seven kinds of main courses, six kinds of desserts, and five kinds of drinks. If a cu
ryzh [129]

Answer: 1050

Step-by-step explanation:

Number of combinations of selecting r things out of n = ^nC_r=\dfrac{n!}{r!(n-r)!}

such that ^nC_1=n

Given: A restaurant menu has 5 kinds of soups, 7kinds of main courses, 6 kinds of desserts, and 5 kinds of drinks.

If a customer randomly selects one item from each of these four categories, then by fundamental counting principle , the number of different outcomes are possible = ^5C_1\times \ ^7C_1\times\ ^6C_1\times\ ^5C_1 =5\times7\times6\times5=1050

hence, total number of outcomes = 1050

3 0
2 years ago
Read 2 more answers
6(m-1)=3(3m+5)<br> what does m=
love history [14]

Answer:

m = - 7

Step-by-step explanation:

Given

6(m - 1) = 3(3m + 5) ← distribute parenthesis on both sides

6m - 6 = 9m + 15 ( subtract 9m from both sides )

- 3m - 6 = 15 ( add 6 to both sides )

- 3m = 21 ( divide both sides by - 3 )

m = - 7

8 0
3 years ago
Help please will mark brainliest!
Nat2105 [25]

Answer:

Option B. Cosec θ = –5/3

Option C. Cot θ = 4/3

Option D. Cos θ = –4/5

Step-by-step explanation:

From the question given above, the following data were obtained:

Tan θ = 3/4

θ is in 3rd quadrant

Recall

Tan θ = Opposite / Adjacent

Tan θ = 3/4 = Opposite / Adjacent

Thus,

Opposite = 3

Adjacent = 4

Next, we shall determine the Hypothenus. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus =?

Hypo² = Opp² + Adj²

Hypo² = 3² + 4²

Hypo² = 9 + 16

Hypo² = 25

Take the square root of both side

Hypo = √25

Hypothenus = 5

Recall:

In the 3rd quadant, only Tan is positive.

Therefore,

Hypothenus = –5

Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus = –5

Sine θ = Opposite / Hypothenus

Sine θ = 3/–5

Sine θ = –3/5

Cos θ = Adjacent / Hypothenus

Cos θ = 4/–5

Cos θ = –4/5

Cot θ = 1/ Tan θ

Tan θ = 3/4

Cot θ = 1 ÷ 3/4

Invert

Cot θ = 1 × 4/3

Cot θ = 4/3

Cosec θ = 1/ Sine θ

Sine θ = –3/5

Cosec θ = 1 ÷ –3/5

Invert

Cosec θ = 1 × –5/3

Cosec θ = –5/3

SUMMARY

Sine θ = –3/5

Cos θ = –4/5

Tan θ = 3/4

Cot θ = 4/3

Cosec θ = –5/3

Therefore, option B, C and D gives the correct answer to the question.

5 0
2 years ago
Answer please? 50 pts
Lady_Fox [76]

Answer:

It was a

Step-by-step explanation:

3 0
3 years ago
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