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2 years ago

The vertical asymptote of the function f(x) = 3 log(x + 3)

1 answer:

4 0

A function has a vertical asymptote where it is not defined, and the logarithm is defined only if its argument is strictly positive: it has a vertical asymptote if its argument is zero, and is not defined if its argument is negative.

So, you have a vertical asymptote where

$x+3=0 \iff x=-3$

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Find the total value of the investment after the time given

Annette [7]

Answer:mm

13)30187.802

14)1837.565

15)1446.336

16)74008

17)33297.293

18)34972.978

19)13817.6

20)155.589

Step-by-step explanation:

13)18000*1.09to the power of 6

14)1500*1.07³

15)1240*1.08²

16)55000*1.16²

17)28600*1.079²

18)21000*1.136to the power of 4

19)12700*1.088

20)130*1.094²

4 0

2 years ago

James estimated the total cost of groceries to be $50. The actual cost of the groceries is $65. What is the percent error? Round

Yuki888 [10]

The percentage error is 23%

Explanation:

The estimated total cost of the groceries = $50

The actual cost of the groceries = $65

To find the error value, we need to subtract the value of actual cost and total cost of the groceries.

Thus,

error value = actual cost - total cost

error value $= 65-50=15$

Hence, error value = $15

The formula to determine the percent error is given by

$Percent error $=\left(\frac{\text { error value}}{\text {actual value}}\right) \times 100$$

Substituting the values in the formula, we get,

$\begin{aligned} \text { Percent error } &=\left(\frac{15}{65}\right) \times 100 \\ &=0.231 \times 100 \\ &=23.1 \end{aligned}$

Rounding off the value, we have, 23%

Thus, the percentage error is 23%

6 0

3 years ago

On a coordinate plane, a line goes through (0, 4) and (2, 0). The first equation from the previous system of equations is graphe

Verizon [17]

Answer:

{3,-2}

Step-by-step explanation:

ITS CORRECT

7 0

3 years ago

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An equation that represents the path of a diver jumping off a diving board is y = –7x2 + 5x + 16. Graph this function from the p

ANTONII [103]

Answer:

See explanation

Step-by-step explanation:

An equation that represents the path of a diver jumping off a diving board is

$y = -7x^2 + 5x + 16.$

The diver jumped to the water when x = 0.

Then

$y=-7\cdot 0^2+5\cdot 0+16=16$

The jumper reached the water when y = 0, then

$-7x^2+5x+16=0\\ \\D=5^2-4\cdot (-7)\cdot 16=25+448=473\\ \\x_{1,2}=\dfrac{-5\pm\sqrt{473}}{-14}$

So, point where the jumper reached the water is

$\left(\dfrac{5+\sqrt{473}}{14},0\right)\approx (1.93,0)$

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3 years ago

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Norma-Jean [14]

Answer:

whh3u2ofefnfek

Step-by-step explanation:

7 0

2 years ago

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