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atroni [7]
4 years ago
9

Given the functions below, what is f(x)−g(x) ?

Mathematics
1 answer:
amid [387]4 years ago
5 0

Answer:

f(x)-g(x)=5x^3-17x^2+4 which appears as option A

Step-by-step explanation:

Simply subtract the function's expressions as shown below, and combine like terms to express the final result:

f(x)=7x^3-10x^2-5\\g(x)=2x^3+7x^2-9\\f(x)-g(x)=7x^3-10x^2-5-[2x^3+7x^2-9]\\f(x)-g(x)=7x^3-10x^2-5-2x^3-7x^2+9\\f(x)-g(x)=7x^3-2x^3-10x^2-7x^2-5+9\\f(x)-g(x)=5x^3-17x^2+4

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Liono4ka [1.6K]
Each outlier in a box plot is symbolised by a "dot". So there can be two possible answers since there are two different outliers in each end of the box plot (5 and 73): either C or D. 

The line in the middle of the boxes is equal to the median. If you find the median, you can approximately determine where the middle-line is, and choose whether C or D is is best fit. 
4 0
3 years ago
Find the exact values of the six trigonometric functions of 0
siniylev [52]

Complete question is;

Find the exact values of the six trigonometric functions 0 if the terminal side of 0 in standard position contains the points(-5,-4).

Answer:

Sin θ = -4/√41

Cos θ = -5/√41

tan θ = 4/5

Cosec θ = (√41)/-4

Sec θ = (√41)/-5

Cot θ = 5/4

Step-by-step explanation:

Now, we are given the point (-5, -4)

These are x and y points.

They will form a triangle and we know that from pythagoras theorem;

x² + y² = r²

Where r is the distance between the point and the origin

Thus;

r² = (-5)² + (-4)²

r² = 25 + 16

r = √41

So, y is the opposite side of the triangle while x is the adjacent side with r being the hypotenuse.

Thus, the trigonometric ratios are;

Sin θ = opp/hyp = -4/√41

Cos θ = adj/hyp = -5/√41

tan θ = opp/adj = -4/-5 = 4/5

Cosec θ = 1/Sin θ = 1/(-4/√41) = (√41)/-4

Sec θ = 1/cos θ = 1/(-5/√41) = (√41)/-5

Cot θ = 1/tan θ = 1/(4/5) = 5/4

4 0
3 years ago
hi, I need help on this math problem. I'm working on two step equations but I don't remember how to do these type of problems. t
Mazyrski [523]
The 5’s cancel each other out, so you’re just left with a on that side, meaning -3=a.

4 0
4 years ago
Need steps on how to factor 3x^4 + x^3 + 6x^2 + 2x
ella [17]

Answer:

3x times 3x times 3x times 3x + x^3 + 3x times 2x times 3x times 2x + 2x

or

x^3 + 2x^3 + 3x^6

Step-by-step explanation:

3x^4 + x^3 + 6x^2 + 2x

3x times 3x times 3x times 3x + x^3 + 6x times 6x + 2x

3x times 3x times 3x times 3x + x^3 + 3x times 2x times 3x times 2x + 2x

x^3 + 2x^3 + 3x^6

5 0
3 years ago
Solve the equation. Check your solution. 3v-9v=30
Degger [83]
Solve v by simplifying both sides of the equation, then isolating variable
v= -5
5 0
3 years ago
Read 2 more answers
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