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3 years ago

5

Q4 Q2.) Solve the exponential equation. Express the solution set in terms of natural logarithms. Then use a calculator to obtain

a decimal approximation, correct to two decimal places, for the solution.

1 answer:

Rainbow [258]3 years ago

7 0

Hello there!

See picture below...

Let me know if you have anymore questions. As always, it is my pleasure to help students like you!

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The graph of F(x), shown below, has the same shape as the graph of G(x) = 3x2, but it is shifted down 4 units. What is its equat

navik [9.2K]

Shifting down 4 means you are taking away 4.
F(x) = g(x) - 4 = 3x^2 - 4

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4 years ago

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Find the difference quotient f(x)=2x^2+5x

expeople1 [14]

Step-by-step explanation:

<u>Step 1: Find the difference quotient</u>

<u /> $f(x+h) = 2(x+h)^2 + 5(x+h)$

$f(x+h) = 2(x^2+2xh+h^2)+5x+5h$

$f(x+h) = 2x^2+4xh+2h^2+5x + 5h$

$f(x) = 2x^2 + 5x$

<em>Plug it into the formula</em>

<u>Difference Quotient:</u> $\frac{f(x+h)-f(x)}{h}$

$\frac{2x^2+4xh+2h^2+5x+5h - (2x^2+5x)}{h}$

$\frac{2x^2 - 2x^2 + 4xh + 2h^2 + 5x - 5x + 5h}{h}$

$\frac{2h^2+4xh+5h}{h}$

<em>Pull out an h</em>

<em /> $\frac{h(2h+4x+5)}{h}$

$2h+4x+5$

Answer: $2h+4x+5$

6 0

3 years ago

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A garden snail moves 1/6 foot in 1/3 hour. Find the speed of the snail in feet per hour

Arisa [49]

(1/6 ft)/ (1/3 hour)= 1/2 ft/hour

The final answer is 1/2 ft/hour~

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4 years ago

Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the mathema

yan [13]

In this item, it can be seen that from an expression of,
(4 + 5i) + (-3 + 7i)
Aiko transformed the equation by factoring out the i's from the expression and wrote it as,
(4 + 5)i + (-3 + 7)i
Now this is wrong because i there is not a variable but a notation that 5 and 7 are imaginary numbers. In fact, she cannot factor out the i's because it is not present in both -3 and 4. The answer therefore to this item is the last sentence, "Aiko incorrectly used the distributive property by combining ..."

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3 years ago

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Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts

Evgesh-ka [11]

Amount of walnuts= $\frac{3}{4} kg$

Amount of almonds= $\frac{1}{2} kg$

Amount of pecans= $\frac{1}{4} kg$

Total amount= $\frac{3}{4}+\frac{1}{2}+\frac{1}{4}$

LCM is 4 so sum is = $\frac{3+2+1}{4}=\frac{6}{4}$ = $\frac{3}{2}$

As given, Carmela divides the mixed nuts into 3/10 kilogram bags so number of bags will be:

$\frac{\frac{3}{2}}{\frac{3}{10}}$

= $\frac{3}{2}\times\frac{10}{3}$ = 5

Hence, answer is 5 bags.

5 0

4 years ago