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3 years ago

If f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?

Mathematics

1 answer:

Stels [109]3 years ago

4 0

So (f-g)(x) = 3x2 + x, so when x = 2, the function is 14

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Which of the following point-slope form equations could be produced with the points (4, 5) and (-3, -5)?

NikAS [45]

Answer:

Equation; y = 1 3 / 7x - 5 / 7

Step-by-step explanation:

First consider the slope of this equation we must derive;

Slope Formula = Rise / Run,

y2 - y1 / x2 - x1 ⇒

5 - ( - 5 ) / 4 - ( - 3 ) ⇒

10 / 7 ⇒ Slope : 1 3 / 7

So far we can formulate an equation as such;

y = 1 3 / 7 * x + b, where b ⇒ y - intercept

Given one of the points, substitute into this equation solving for b;

5 = 1 3 / 7 * ( 4 ) + b,

5 = 40 / 7 + b,

b = - 5 / 7

From this we can derive one point - slope from equation to be :

Equation; y = 1 3 / 7x - 5 / 7

3 0

3 years ago

Find the indefinite integral using the substitution x = 10 sin(θ). (Use C for the constant of integration.) 1 (100 − x2)3/2 dx

soldi70 [24.7K]

Answer:

The indefinite integral

= $\frac{1}{100}$ ˣ $\frac{x}{\sqrt{100-x^{2} } }$ ⁺ C

Step-by-step explanation:

x= 10sinθ

dx = 10cosθdθ

the step-to-step explanation is in the attachment

3 0

3 years ago

212.35 into a fraction

Alla [95]

Answer: 212 7/20

Step-by-step explanation: We know that 212 is the whole number. So we need to convert .35 into a fraction in simplest form. Any decimal that has a hundredths place will be divided by 100 to get the fraction. In this case that fraction would be 35/100. And to convert that into simplest form, you need to find the least (or lowest) common denominator which is 5. Then you divide the numerator and denominator by 5 and get 7/20, so your answer is 212 7/20

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3 years ago

when a study is designed so that neither the subjects nor the experimenters know which subjects are in the treatment group and w

Nata [24]

(taken from a source)

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Hope this helped!

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3 years ago

Read 2 more answers

Question 2 of 10 Solve the equation x = gtr for r.

umka2103 [35]

Answer:

see attached.