For the quadratic function f(x) = x2 + 8x + 12 in standard form, find the following key features:
vertex
y-intercept
Roots x =
and x =
Axis of Symmetry x =
Answer:
vertex:(−4,−4)
y-intercept:(0,12)
roots x=−2
and x= -6
AOS:-4
Step-by-step explanation:
1/4 Marks
5/17 Marks
Given that f(x) = x2
x2 – 3
9
a) Find f(3)
b) Find f(x)
c) Find f'(11)
Answer:
a)13
b)F(x)=1/f(x) = 2/ x^2-3
c) 1/59
Write 1 3/8 as an improper fraction.
Answer:
[tex] \frac{11}{8} [/tex]
Step-by-step explanation:
[tex] \frac{1 \times 8 + 3}{8} [/tex]
Answer:
11/8
Step-by-step explanation:
What is the value of this expression? 42−{(7+14)÷7}×4
A. 6
B. 28
C.30
D. 156
Answer:
42−{(7+14)÷7}×4
42 - {21 ÷ 7} x 4
42 - 3 x 4
42 - 12
30
Step-by-step explanation:
WRITE AN EQUETION TO REPREDENT ECH ONE
Answer:
2x=3
W+1.3=2.7
3y=5.1
z+1/3=1/2
Step-by-step explanation:
You just add up all on the left to equate that on the right
2x=3
W+1.3=2.7
3y=5.1
z+1/3=1/2
In case you have to solve:
x=3/2
W=2.4
y=1.7
z=1/6
The parking garage has 9 rows with 10 parking space in each row . There are 8 empty space . How many space are filled.
Answer:
82 .
Step-by-step explanation:
9x 10 = 90 then 90-8 = 82 that how many spaces are filled .
1.7. Examine parallelogram ABCD below.
B
5x+12
с
9y - 2
7y+4
A
8x - 6
D
Determine which of the following values are correct. Select all that apply.
A. y=1
B. x = 2
C. y=3
D. X = 6
E. AD = 42
F. AB = 25
Answer:
So.
The correct is (C, D, E and F)
And (A and B) isn't correct
Step-by-step explanation:
I hope that is useful for you :)
Helppp pleaseee
McLeod Industries offers employees a pension plan where the retiree will get 2% of
the average of the final four year salaries times the number of years they were
employed. If their final four year salaries were $92,400, $95,200, $98,100, and
$101,000 respectively, and the employee's yearly pension is $54,138, how many
years were they employed by McLeod Industries?
A. 25 years
B. 28 years
C. 30 years
D. 33 years
Oil prices are projected to increase by 100% by next June. A quart of oil currently costs $2.45. What is the projected cost of a gallon of oil next June? Round your answer to the nearest hundredth.
Answer:
4.9
Step-by-step explanation:
100% of 2.45 is 2.45.
We add 2.45 + 2.45 which is 4.9.
Can I get brainliest?
Answer:
19.60
Step-by-step explanation:
Write an algebraic expression for the word expression 9 less than the sum of x and 5
Answer:
X + 5 - 9
Step-by-step explanation:
Is your expression.
Determine the equation for the line that passes through the point (-5,3 ) with a slope of -2/3
Answer:
y=-2/3x-1/3
Step-by-step explanation:
Plug in the point (-5,3)
3=-2/3(-5)+k
3=3.3333+k
k (y-intercept)=-0.33333, or -1/3
Exercise 3.62. A little boy plays outside in the yard. On his own he would come back inside at a random time uniformly distributed on the interval [0, 1]. (Let us take the units to be hours.) However, if the boy is not back inside in 45 minutes his mother brings him in. Let X be the time when the boy comes back inside (a) Find the cumulative distribution function F of X (b) Find the mean E(X) (c) Find the variance Var(X) Hint. You should see something analogous in Examples 3.20 and 3.38.
a) The cumulative distribution function F of X is: F(x) = P(X ≤ x) = 1
b) The mean E(X) is: E(X) = 0.5 hours.
c) The variance Var(X) is: the variance of X is approximately 0.0833 hours².
To find the cumulative distribution function (CDF) of X, we need to consider two cases: when the boy comes back inside before 45 minutes and when the boy is brought inside by his mother after 45 minutes.
(a) Cumulative Distribution Function (CDF) F of X:
For 0 ≤ x < 0.75 (when the boy comes back inside before 45 minutes):
Since the boy comes back inside uniformly distributed on the interval [0, 1], the CDF is simply the probability that the boy comes back inside before time x.
The probability of the boy coming back inside before x is equal to x, as it is a uniform distribution.
F(x) = P(X ≤ x) = x
For 0.75 ≤ x ≤ 1 (when the mother brings the boy inside after 45 minutes):
If the boy is not back inside at 45 minutes (0.75 hours), his mother brings him inside.
Therefore, the probability of the boy coming back inside before x in this case is 1.
F(x) = P(X ≤ x) = 1
(b) Mean (Expected Value) E(X):
The expected value of X, denoted by E(X), is the average time the boy spends outside before coming back inside.
For a uniform distribution on the interval [0, 1], the expected value is the midpoint of the interval.
Therefore, E(X) = (1 + 0) / 2 = 0.5 hours.
(c) Variance Var(X):
The variance of X, denoted by Var(X), measures the spread or variability of the random variable X around its mean.
For a uniform distribution on the interval [0, 1], the variance is given by:
Var(X) = (1² - 0²) / 12 = 1 / 12 ≈ 0.0833 hours²
So, the variance of X is approximately 0.0833 hours².
To learn more on probability click:
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Determine whether the following sequence is geometric. If so, find the common ratio.
1, -5, 25, - 125, ...
Geometric sequence
-5 each term is multiplied by -5
will mark brainlest Coby needs to know the area and perimeter of his farm property. The length of his property is 1/9 mile and the width is 3/8 mile. What is the area? and What is the perimeter?
Answer for Area :
1/24
Answer for Perimeter :
35/36
Step-by-step explanation:
To find the area it's l x w so you multipy 1/9 and 3/8 = 1/24
To find the perimeter you add all the sides together so you add 1/9 + 1/9 + 3/8 + 3/8 = 35/36
I hope this helped you!! :> Have a great rest of your day!
Answer: area 1/24 perimeter 35/36
Step-by-step explanation:
What is the solution to 4x+63 ≤ 18?
Answer:
[tex] - \frac{45}{4} [/tex]
PLEASE HELP DUE IN 15 MINUTES WILL GIVE BRAINLIEST!
4m = 12x + 40
8x + 8x + 12x + 40 + 4m = 360
28x + 40 + 12x + 40 = 360
x = 7
m = 12(7) + 40 = 124
3y=54 what is y in the equation
Answer:
y=18
Step-by-step explanation:
54 divided by 3 = 18
Hope this helps :)
(Brainliest?)
Answer:
18
Step-by-step explanation:
Divide each side by 3
54/3 = 18
What slope is being shown in the equation:
y-9=-3(x+6)
Plz help me
A.6x3+2 3/4=20 3/4 cm3
B.6x3x2 3/4= 49 1/2 cm3
C.6+3+2 3/4=11 3/4 cm3
D.3x2 3/4= 8 1/4
Answer:
The answer to this would be B.
Step-by-step explanation:
When finding the volume of a three-dimensional object you want to use the formula, (Length) x (Height) x (Width) = (Volume)
In this case, 6 cm is your height
3 cm is your length,
and 2 3/4 cm is your width.
When you plug in those numbers, the only equation that matches is B. 6x3x2 3/4.
Hope this helped!
What is 14 2/7 x 4 3/10=
Answer:
430/ 7
Step-by-step explanation:
yess this is the correct answer
The daily rainfall experienced by Soaking City has been recorded on 9 randomly selected days throughout the year. This process has been repeated for every possible combination of 9 days in a year. The standard error of the mean has been calculated and is equal to 0.39 inches. If the rainfall was recorded on 36 (instead of 9) randomly selected days throughout the year, the standard error of the mean would be equal to:____.
a. 0.078 inches.
b. 0.248 inches.
c. 0.045 inches.
d. 3.429 inches.
If the rainfall was recorded on 36 (instead of 9) randomly selected days throughout the year, the standard error of the mean would be equal to 0.195 inches.
The standard error measures the variability or uncertainty in an estimate or statistic based on a sample. It is often denoted as SE or SE(θ), where θ represents a population parameter of interest.
Given that
the standard error of the mean, SE = 0.39 (when sample size,n = 9).
Let s be the standard deviation around the mean, then
Since SE = [tex]\dfrac{s}{\sqrt n}[/tex]
In this sample,
0.39 = [tex]\dfrac{s}{\sqrt9}[/tex]
s = 0.39 × 3
s = 1.17.
If the sample size is increased from 9 to 36,
SE = [tex]\dfrac{1.17}{\sqrt36}[/tex]
SE = [tex]\frac{1.17}{6}[/tex]
SE = 0.195 inches.
Thus, the standard error of the mean changes from 0.39 inches to 0.195 inches.
Learn more about Standard Error here:
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Please sombody actually help me im stuck on this.
Answer:
A=6
B=19
C=55
D=119
E=70
Answer:
Blank A = 6
Blank B = 19
Blank C = 55
Blank D = 119
Blank E = 70
Notice that the rule for each animal involves counting the number of chirps in different time intervals. For the Brookdale cricket you count the number of chirps in 15 seconds and for the katydid you count the number of chirps in 20 seconds. If c is the number of chirps per minute, what is the expression for the number of chirps for i) The Brookdale cricket in 15 seconds
how do I solve this
Answer:
f(x) = 2x^3 - 6x^2 - 20x + 48
Step-by-step explanation:
A polynomial with zeros a, b, c, etc., is the product of (x - a)(x - b)(x - c)...
f(x) = (x + 3)(x - 2)(x - 4)
f(x) = (x^2 + x - 6)(x - 4)
f(x) = x^3 - 4x^2 + x^2 - 4x - 6x + 24
f(x) = x^3 - 3x^2 - 10x + 24
This polynomial function has the zeros listed in the problem.
Now we need to make sure it includes the point (6, 144).
f(x) = (x + 3)(x - 2)(x - 4)
f(6) = (6 + 3)(6 - 2)(6 - 4)
f(6) = 9 * 4 * 2
f(6) = 72
The polynomial function has point (6, 72). We want it to include the point (6, 144). We multiply the function by 2.
f(x) = 2(x^3 - 3x^2 - 10x + 24)
f(x) = 2x^3 - 6x^2 - 20x + 48
Answer this correctly I’ll give brainalist + 10 points
Answer:
50
Step-by-step explanation:
please brainalist
Answer:
x= 60
Step-by-step explanation:
brr 180 degrees total, divided by 3x would be 60
so X=60
Matthew plots an integer on a number line that has an absolute value of 119. Gabrielle plots a different integer on the same number line that also has an absolute value of 119. Which two integers could Matthew and Gabrielle have plotted?
0 and 119
0 and –119
119 and –119
119 and 238
Answer: 119 and -119
Step-by-step explanation: The absolute value of a number is its distance from 0.
Answer:
119 and -119
Step-by-step explanation:
the value of a positive number inside the absolute values, signs doesn't change the value but if a negative number is put inside the absolute values, the signs change to be positive.
Hope that helps :)
Scores on the GRE.
A college senior who took the Graduate Record Examination exam scored 560 on the Verbal Reasoning section and 740 on the Quantitative Reasoning section. The mean score for Verbal Reasoning section was 460 with a standard deviation of 132, and the mean score for the Quantitative Reasoning was 452 with a standard deviation of 140. Suppose that both distributions are nearly normal. Round calculated answers to 4 decimal places unless directed otherwise.
(a) Write down the short-hand for these two normal distributions
(b) What is her Z score on the Verbal Reasoning section? On the Quantitative Reasoning section? Draw a standard normal distribution curve and mark these two Z scores.
(c) What do these Z scores tell you?
(d) Relative to others, which section did she do better on?
(e) Find her percentile scores for the two exams.
(f) What percent of the test takers did better than her on the Verbal Reasoning section? On the Quantitative Reasoning section?
Answer:
Kindly check explanation
Step-by-step explanation:
Verbal:
Score, x = 560
Mean, m = 460
Standard deviation, s = 132
Quantitative :
Score, x = 740
Mean, m = 452
Standard deviation, s = 140
a)
Verbal :
X ~ N(460, 132)
Quantitative :
X ~ N(452, 140)
(b)
What is her Z score on the Verbal Reasoning section? On the Quantitative Reasoning section? Draw a standard normal distribution curve and mark these two Z scores.
Zscore = (x - m) / s
Verbal :
Zscore = (560 - 460) / 132 = 0.758
Quantitative :
Zscore = (740 - 452) /140 = 2.057
(c.)
He has a higher standardized score in the quantitative than the verbal score.
(d.)
The Zscore shows that he performed better in the quantitative reasoning than verbal.
(e) Find her percentile scores for the two exams.
(f) What percent of the test takers did better than her on the Verbal Reasoning section? On the Quantitative Reasoning section?
Verbal :
Score greater than 560
P(x > 560) :
Z = (560 - 460) / 132 = 0.758
P(Z > 0.758) = 0.22423 = 22.4%
Quantitative :
Score greater than 740
P(x > 740) :
Z = (740 - 452) / 140 = 2.057
P(Z > 0.758) = 0.0198 = 1.98%
A catfish pond contains 2,200 gallons of water. The pond can hold no more than 3,000 gallons. It is being filled at a rate of 125 gallons per hour. (PLS INCLUDE ALL STEPS)
1) Write an inequality that will represent how many hours, h, it will take to fill the pond.
2)How many whole hours will it take to fill but not overfill the pond?
Answer:
I am not sure honestly, but I think you should
Step-by-step explanation:
add 2,200 and 3,000 then see your answer, and divide it by 125. I'm sorry if this doesn't help......
What is the coefficient of 20x?
Answer:
20
Step-by-step explanation:
A coefficient is the number that is attached to the variable.
In this case, the number attached to the variable is 20.
Therefore, the coefficient is 20
hope this helps :)
pls someone answer this...
Answer:
p=10
Step-by-step explanation:
3p+10+5p=90
8p+10=90
8p=80
p=10
Answer:
p = 5
Step-by-step explanation:
Th angles are complimentary, meaning that they equal 90° if put together. This mean that you can set them equal to eachother.
3p + 10 = 5p
Subtract 3p from both sides.
10 = 2p
Divide both sides by 2.
p = 5
You can check you work by plugging in 5 for p.
3(5) + 10 = 5(5)
15 + 10 = 25
25 = 25
Therefore, p = 5.
Sorry if I'm wrong, but I hoped this helped. Have a great day/night!