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2 years ago

If f(x) = x 2 + 1, find f(a + 1). a 2+ 2 a + 2 a 2 + 2 a 2+ a + 1

Mathematics

1 answer:

goblinko [34]2 years ago

5 0

2a+3

Step-by-step explanation:

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Find the derivative of <br> y = 1/ (3x^3) with steps

Ganezh [65]

Answer:

$- 9 {x}^{ - 4}$

Step-by-step explanation:

$y = \frac{1}{ {3x}^{3} } = {3x}^{ - 3}$

$y = < - 3 \times 3 > {x}^{ - 3 - 1} \\ = - 9 {x}^{ - 4}$

6 0

2 years ago

Ethan bikes 13 more miles than thomas. The sum of Thomas's mileage and twice Ethan's mileage =83

stiv31 [10]

83-13 = 70
70/2 = 35

Thomas’s mileage is 35 miles

6 0

2 years ago

An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes m

inessss [21]

Answer:

$\mathbf{ 0.6 \times 0.5 = 0.3 }$

Step-by-step explanation:

Let M denote the event that the stock makes money and D denote the event that the stock pays dividends.

It is given that $P(M) = 0.6$

Observe that the two events M and D are not independent because if the stock doesn't make money then it will not pay dividends. Therefore the event $D | M^{c}$ (D given M does not occur) is a null event, i.e

$P(D|M^{c}) = 0$

It is also given that,

$P(D|M) = 0.5$

Recall that : $P(D|M) = \frac{P(D \cap M)}{P(M)}$

Here, we are required to find $P(D \cap M)$

$P(D \cap M) =P(D|M) \times P(M)= 0.5 \times 0.6 = 0.3$

7 0

2 years ago

Which is an equation of a line that has a slope of -1/3 and passes through the point (-5, 2)?

kramer

Answer:

y= -⅓x +⅓

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

This form is also known as the point-slope form.

Since the slope is given to be -⅓, m= -⅓.

y= -⅓x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -5, y=2,

2= -⅓(-5) +c

$2 = \frac{5}{3} + c \\ c = 2 - \frac{5}{3} \\ c = \frac{1}{3}$

Thus, the equation of the line is y= -⅓x +⅓.

7 0

3 years ago

An octagon has a perimeter of 28 units. What is the perimeter of the image of the octagon after the translation (x,y) → (x-7,y+

kow [346]

Answer:

https://www.caverna.k12.ky.us/userfiles/110/Classes/7142//userfiles/110/my%20files/study%20guide%20answer%20key%20(1).pdf?id=4059

Step-by-step explanation:

copy and past this pdf

6 0

2 years ago