3x² + 9x - 54 :(3)
x² + 3x - 18
(x-3)*(x+6)
The slope of the line connecting two points (<em>a</em>, <em>b</em>) and (<em>c</em>, <em>d</em>) is
(<em>d</em> - <em>b</em>) / (<em>c</em> - <em>a</em>)
i.e. the change in the <em>y</em>-coordinate divided by the change in the <em>x</em>-coordinate. For a function <em>y</em> = <em>f(x)</em>, this slope is the slope of the secant line connecting the two points (<em>a</em>, <em>f(a)</em> ) and (<em>c</em>, <em>f(c)</em> ), and has a value of
(<em>f(c)</em> - <em>f(a)</em> ) / (<em>c</em> - <em>a</em>)
Here, we have
<em>f(x)</em> = <em>x</em> ²
so that
<em>f</em> (1) = 1² = 1
<em>f</em> (1.01) = 1.01² = 1.0201
Then the slope of the secant line is
(1.0201 - 1) / (1.01 - 1) = 0.0201 / 0.01 = 2.01
Answer:
125%
Step-by-step explanation:
so you are increasing by $10, and $10 is 25% of $40, so the percent change is 125%
Using translation concepts, it is found that the equation that represents the graph of g(x) is:
![g(x) = \sqrt[3]{x + 2}](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) is a shift left of 2 units of f(x), hence:
More can be learned about translation concepts at brainly.com/question/4521517
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The probability of both children receiving a tablet is 15%.
We have given that
Age of Children P(Tablet) P(Laptop)
Less than 10 0.3 0.02
10-17 0.5 0.4
<h3>What is the probability?</h3>
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Probability of both children receiving a tablet is
0.3*0.5 = 0.15 = 15%
Therefore, the probability of both children receiving a tablet is 15%
Therefore option b is correct.
To learn more about the probability visit:
brainly.com/question/24756209
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