Answer:
I am pretty sure it's −2.7710843373
If #peaches = x and #plums = y we can write the following equations:
x+y=15
0.89x + 0.39y = 8.85
and x and y are whole numbers.
converting the first to x=15-y and plugging it into the second, you get
0.89(15-y) + 0.39y = 8.85 =>
13.35 - 0.89y + 0.39y = 8.85 =>
4.5 = 0.5y =>
y = 9
so x = 15-9 = 6
She bought 9 plums and 6 peaches.
The <em>exponential</em> function y = 290 · 0.31ˣ reports a decay as its <em>growth</em> rate is less than 1 and greater than 0. Its <em>percentage</em> rate of decrease is equal to 69 %.
<h3>How to determine the behavior of an exponential function</h3>
<em>Exponential</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. The <em>simplest</em> form of <em>exponential</em> functions is shown below:
y = a · bˣ (1)
Where:
- a - Initial value
- b - Growth rate
- x - Independent variable.
- y - Dependent variable.
Please notice that this kind of <em>exponential</em> function reports a <em>growth</em> for b > 1 and <em>decay</em> for b < 1 and b > 0. According to the statement we have the function y = 290 · 0.31ˣ, then we conclude that the exponential function given reports a <em>decay</em>.
The <em>percentage</em> rate of decrease is determined by the following formula:
100 × (1-0.31) = 100 × 0.69 = 69 %
The <em>percentage</em> rate of decrease related to the <em>exponential</em> function is 69 %.
To learn more on exponential functions: brainly.com/question/11487261
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Answer:
The range stays the same.
The domain stays the same.
Step-by-step explanation:
The function 
is an exponential function, where <em>a</em> is the coefficient, <em>b</em> is the base and <em>x</em> is the exponent.
The domain for this kind of functions is: All real numbers.
And the range is: (0,∞); this happen because the exponential functions are always positive when <em>a</em>>0.
Therefore, if the value of <em>a</em> is increased by 2, the domains will stay the same and the range will stay the same: (0,∞). The coefficient does not change the domain or the range if it keeps the same sign.
Subtract 7, so the answer is x <= 3, or C.
