Answer:
This is a fourth-degree polynomial
X-intercepts are - 5, -5, 3, and -3
The Y-intercept is 225
Step-by-step explanation:
Since it's already in the factored form you can find the zeros by separating each binomial and solving for x
x
2
−
25
=
0
x
2
=
25
x
=
±
5
x
2
−
9
=
0
x
2
=
9
x
=
±
3
so
x
=
±
5
,
±
3
To find the y-intercept and the degree of the polynomial we need to convert the factored form into standard form
f
(
x
)
=
(
x
2
−
25
)
(
x
2
−
9
)
f
(
x
)
=
x
4
−
9
x
2
−
25
x
2
+
225
f
(
x
)
=
x
4
−
34
x
2
+
225
The degree of a polynomial is just the leading coefficients power which is 4 in this equation
In order to find the y-intercept we just need to allow
x
=
0
because that is when any equation will cross the y-axis
f
(
x
)
=
0
4
−
34
(
0
)
2
+
225
f
(
x
)
=
225
Answer:
n=2
Step-by-step explanation:
1/2(6n-30)=3/4(4-8n)
3n-15=3-6n
9n=18
n=2
Nathan has an infection and he needs to be treated with penicillin
But there’s a 75% probability of him being allergic to penicillin
And to test if the skin reacts to penicillin, the test is 98% accuracy
So even if he has the allergy the test is only 98% accurate of identifying the allergy
Therefore we are asked to find the probability of both these events happening
Event 1 and event 2 both should happen then. When the ‘and’ function is used in probabilities then the probabilities of both events happening should be multiplied
Therefore probability that Nathan has the allergy and test predicts it is
= 75% x 98% = 0.735
The answer is D. 0.735
The required boxplot isn't attached, an hypothetical solution is given which could be applied to solve your actual task.
Answer:
Kindly check explanation
Step-by-step explanation:
From the attached picture, the median and upper quartile value of the boxplot are :
The median of a dataset plotted on a box and whisker plot can be obtained directly from the plot as the point where a vertical line splits the box. The line inside the box gives the median of the data. The Q3 value which is the upper quartile is depicted on the box and whisker plot as the endpoint of the box. The endpoint of the box gives the upper quartile value for the dataset.
In the attached boxplot , the median = 29
The upper quartile = 38
In this item, we are given with the equation f(x) = 5 - x where f(x) is the amount of money left, 5 is the amount as stated in the gift card and 1 is the cost per music download.
The number of songs purchased and the amount left are listed below.
number of songs: amount of money left
0 : 5
1 : 4
2 : 3
3 : 2
4 : 1
5 : 0
