The correct statements regarding the exponential function
- The function is positive on its entire domain.
- The domain is x ≥ 0 to represent the number of years after the bedroom furniture was purchased.
- The y-intercept (0, 1000) represents the initial cost of the bedroom furniture.
<h3>What is an exponential function?</h3>
An exponential function is modeled by:
In which:
For this problem, we have that when x = 0, y = 1000, hence the y-intercept is of (0,a) = (0,1000), and:
When x = 2, y = 722.5, hence we use it to find b, as follows:
1000b² = 722.5
b² = 0.7225
b = sqrt(0.7225)
b = 0.85.
Hence the equation is:
The <u>asymptote is at y = 0</u>, hence the function is positive in the entire domain, and the and the domain is x ≥ 0 to represent the number of years after the bedroom furniture was purchased, as in these problems time is non-negative.
More can be learned about exponential functions at brainly.com/question/25537936
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Step-by-step explanation:
Hey there!
The equation of a st.line passing through points (4,5) and (7,3) is;
<u>Put</u><u> </u><u>all values</u><u>. </u>
<u></u>
<u>Simplify</u><u> </u><u>it</u><u>. </u>
<u></u>
<u></u>
<u></u>
<u></u>
<u>Therefore the</u><u>required</u><u> </u><u>equation</u><u> </u><u>is</u><u> </u><u>2</u><u>x</u><u>+</u><u>3</u><u>y-23</u><u>=</u><u>0</u><u>.</u>
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
2x -43
Step-by-step explanation:
Distribute 2 to into the parenthesis: 2 * x and 2 * -6
2x + -12 - 31
Combine like-terms: -12 + - 31 = -43
2x -43
IF you need the equation completely simplified, I bEliVe you would be able to divide by 2 to get it: x - 21.5
Answer:
<h2>
234</h2><h2>
</h2>
Step-by-step explanation:
surface area = 2( LW + LH + WH)
where L = Length = 9
W = Width = 2
H = Height = 9
<u>plugin values into the formula:</u>
surface area = 2 ( LW + LH + WH)
= 2 ( 9*2 + 9*9 + 2*9 )
= 2 ( 18 + 81 + 18 )
= 2 (117)
= 234
Answer:
6 units
(Use the distance formula and plug in everything)