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3 years ago

Which answer is an equation in point-slope form for the given point and slope?

Mathematics

1 answer:

Butoxors [25]3 years ago

5 0

Answer:

Step-by-step explanation:

Point-slope equation for line of slope m that passes through (x₀,y₀):

y-y₀ = m(x-x₀)

In your case, m=5 and (x₀,y₀)=(1,9):

y-9 = 5(x-1)

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Will give brainlist if correct!

Sveta_85 [38]

Answer:

A y=5

Step-by-step explanation:

5 0

3 years ago

If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)

Luba_88 [7]

Answer:

Diverge

Step-by-step explanation:

(a)

1st year: $1000 * 1.08^1 = \$1080$

2nd year: $1000 * 1.08^2 = \$1166.4$

3rd year: $1000 * 1.08^3 = \$1259.71$

4th year: $1000 * 1.08^4 = \$1360.49$

5th year: $1000 * 1.08^5 = \$1469.33$

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

$(1000*1.08^n)^{'} = 1000ln(n)*1.08^n$

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

$(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n$

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

5 0

3 years ago

46+ 2/7w<br> w= -1/2<br> You don't need to show your work

Tomtit [17]

46.1428 or -46(3/14)

3 0

3 years ago

If f(x)= x^3-2x+6, find f(-2)

Marina CMI [18]

--8+4+6=2 Hope it helps :-)

5 0

3 years ago

David has a bag of coins. The bag contains 7 dimes, 2 nickels, and 6 pennies. He will randomly select 2 coins from the bag one a

luda_lava [24]

Answer:

7/15 for dime

6/15 for pennies

Step-by-step explanation:

7/15 because 7+2+6=15 and there are 7 dimes so 7/15.

6/15 because there are 15 coins and there are 6 pennies so 6/15.

15 is the total so 7 and 6 have to go over it.

5 0

3 years ago