What are the zeros of this polynomial and state their multiplicity at each y=(x-5)(x+2)^2
1 answer:
Answer:
C.
Step-by-step explanation:
The zeros of a polynomial are the x-intercepts of the function. To find them, we factor the polynomial and set each factor equal to 0.
This polynomial is already factored so set each to 0 and solve for x.
This means x=-2, 5. Each zero or root has a multiplicity - the number of times the factor occurs. This is also known as the exponent of the factor expression.
(x+5) occurs once since it has exponent 1.
occurs twoce since it has exponent 2.
x=5 mult. 1, x=-2 mult. 2
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Answer:
<h2>y = -2x + -3</h2>Step-by-step explanation:
Slope-intercept form is y = mx + b
"m" is the slope, how steep the line is.
"b" is the y-intercept, where to graph hits the y-axis.
Check the scale for this grid. Since there are "1" written on the first box after the middle, <u>one square = one unit</u>.
To find "m", use between the two dotted points on the graph. The first point is always on the left.
<u>"Rise" means how many squares above</u> the first point the second point is.
Since the second point is below the first point, the number is negative.
<u>"Run" means how many squares to the right</u> the second point is.
To find "b", look at where the graph it touching the y-axis.
The y-axis is the vertical line (going from top to bottom).
Count the number of squares from the grid's middle to the graph line.
There are 3 squares.
Since the graph touches below the origin, this is a negative number.
b = -3
In the boxes, you put negative two (-2) and negative three (-3).
* Usually we would simplify the equation to y = -2x - 3.
Answer:
The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.
Step-by-step explanation:
A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.16.
This means that the null hypothesis is:
Testing this hypothesis, means that the alternate hypothesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.16 is tested at the null hypothesis:
This means that
In a sample of 200 graduates, 24 students have a GPA of 3.00 or below.
This means that
Value of the test statistic:
Pvalue:
The pvalue is the probability of finding a sample mean above 0.12, which is 1 subtracted by the pvalue of z = -1.54.
Looking at the z-table, z = -1.54 has a pvalue of 0.0618
1 - 0.0618 = 0.9382
The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.