Answer:
Zeros are x = 1.5, -2.5
Step-by-step explanation:
Given function is,
F(x) = 4x² + 4x - 15
= 4(x² + x - 3.75) [Since, intercept form of a quadratic equation is the factored form of the function]
F(x) = 4(x² + 2.5x - 1.5x - 3.75)
= 4[x(x + 2.5) - 1.5(x + 2.5)]
= 4(x - 1.5)(x + 2.5)
For 'x' intercepts,
f(x) = 0
4(x - 1.5)(x + 2.5) = 0
x = 1.5, -2.5
Therefore, zeros of the given function are x = 1.5, -2.5.
Answer:
Explained below.
Step-by-step explanation:
A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.
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The parameter of interest is the average body temperature of all healthy adults, <em>μ</em> = 98.6°F.
While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.
A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.
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The statistic is the average body temperature of 100 randoly selected healthy adults,
.
Terms that have the same variable part are called like terms. Like terms can be added or subtracted to form a single term.
1.
16x - 4x = -48
First, combine the like terms 16x and -4x.
12x = -48
Now divide both sides by 12.
x = -4
2.
7m - 5 - 13m = 25
First, combine the like terms 7m and -13m.
-6m - 5 = 25
Now add 5 to both sides.
-6m = 30
Divide both sides by -6.
m = -5
3.
12.25 = 0.5q + 3.75
Subtract 3.75 from both sides.
8.5 = 0.5q
Multiply both sides by 2.
17 = q
q = 17
4.
2(2x - 4) + x = 7
Distribute the 2.
4x - 8 + x = 7
Combine 4x and x.
5x - 8 = 7
Add 8 to both sides.
5x = 15
Divide both sides by 5.
x = 3
5.
8 = 3(3x + 8) - x
Distribute the 3.
8 = 9x + 24 - x
Combine 9x and -x.
8 = 8x + 24
Subtract 24 from both sides.
-16 = 8x
Divide both sides by 8.
-2 = x
x = -2
You start with 100%, add 80% for the increase and you get 180%, take away 40% for the decrease and you get 140%
