The graph y = 1/2x^2 - x - 4 is shown below. State the coordinate of the zero(s):
Answers
Answer:
Zeros → (-2, 0) and (4, 0)
Step-by-step explanation:
Equation of the graph has been given as,
y = [tex]\frac{1}{2}x^{2} -x-4[/tex]
For zeros of the function,
y = 0
Therefore, [tex]\frac{1}{2}x^{2} -x-4=0[/tex]
By solving the equation algebraically,
x² - 2x - 8 = 0
x² - 4x + 2x - 8 = 0
x(x - 4) + 2(x - 4) = 0
(x + 2)(x - 4) = 0
x = -2, 4
Therefore, coordinates of the zeros will be (-2, 0) and (4, 0).
Let's confirm the zeros (x-intercepts) from the graph attached,
Coordinates of the x-intercepts are,
(-2, 0) and (4, 0)
Related Questions
What is the answer to this question?
Answers
Answer:
the answer is the top right option
Step-by-step explanation:
Which number is the opposite of -3? Starting at -3, how many steps does it take to get to the opposite of -3? What does this number of steps represent?
Answers
Answer: 3 is the oppos ire of -3 and it takes 6 steps to get to it
Step-by-step explanation:
Answer:
"Which number is the opposite of -3?": The number that is opposite of (-3) is 3
"Starting at -3, how many steps does it take to get to the opposite of -3?": It takes 6 steps to get to the opposite of -3.
" What does this number of steps represent?": This number represents the distance between -3 and 3.
Step-by-step explanation:
Write equation of a line in point slope form that passes through (3,8) and has a slope of
5?
Answers
Answer:
y = 5x - 7
Step-by-step explanation:
(3 , 8) ; slope(m) = 5
Equation of the line: y - y₁ = m( x- x₁)
y - 8 = 5(x - 3)
y -8 = 5x - 5*3
y-8 = 5x - 15
y = 5x - 15 +8
y = 5x - 7
Jimmy bought a sandwich. The price is $5 when he got the receipt he needed to pay 6% taxes, and he left a 10% tip how much did he spend?
Answers
Answer:
$5.8
Step-by-step explanation:
0.3 + 0.5 + 5 = 5.8
2.S.3 In a behavioral study of the fruitfly Drosophila melanogaster, a biologist measured, for individual flies, the total time spent preening during a 6-minute observation period. The following are the preening times (sec) for 20 flies:54 34 24 10 16 52 76 33 31 46 24 18 26 57 32 25 48 22 48 29 19 (a) Determine the mode (s). (b) Calculate the range. (c) Construct a dotplot of the data
Answers
Answer:
Step-by-step explanation:
The raw data given can be properly expressed by a frequency table. The frequency table formed from the data given is attached to this answer.
From the frequency table,
(a) The modes of the data are 24 and 48. Thus, the data is said to be bimodal.
(b) Range = height value - least value
= 76 - 10
= 66
Range = 66
(c) A dot plot is a pictorial graph of the plot of the given data. The plot of the given data is attached to this answer.
summer babysitting. She decided
to put this money in a bank that
earns a 5% simple interest rate.
How many years will it take to
double her initial deposit?
A) 10 years
B) 12 years
C) 15 years
D) 18 years
E) 20 years
Answers
Answer: B.12 years
Step-by-step explanation:
HELP ME PLEASE I REALLY NEED HELP!!!!
Answers
Answer:
x = 5
Step-by-step explanation:
[tex]\frac{x}{2x - 3} = \frac{10}{14}[/tex] --> Triangle Proportionality Theorem
10(2x - 3) = 14(x) --> Cross Multiplying
20x - 30 = 14x --> Distributing 10 and 14 to the parentheses
20x -30 - 14x + 30 = 14x - 14x + 30 --> Subtracting 14x and adding 30 on both sides
6x = 30 --> Simplifying
6x/6 = 30/6 --> Dividing 6 on both sides
x = 5 --> Simplifying
Hope this helped!
By the way, I'm not so sure you understand the concept of "Triangle Proportionality Theorem" since you asked a similar one before that. So I'll post an image that I found on the internet that explains it. :D
At a dog park,there are12 golden retrievers and 20 poodles.what are the ratio of retrievers to poodles?
Answers
Answer:
[tex]12:20[/tex]
Step-by-step explanation:
The random variable X has mean 12 and standard deviation 3. The random variable W is defined as W = 7+2X. What are the mean and standard deviation of W?
A. The mean is 24, and the standard deviation is 6.
B. The mean is 24, and the standard deviation is 13.
C. The mean is 31, and the standard deviation is 3.
D. The mean is 31, and the standard deviation is 6.
E. The mean is 31, and the standard deviation is 13.
Answers
Answer:
Mean=X=12
SD=3
W=7+2X
Mean(W)=7+2Mean(X)
Mean(W)=7+2(12)
=7+24=31
SD(W)=2SD(X)
SD(W)=2(3)=6
Ans: D
The value of the square root of 14 is between which two integers?
Answers
3x3=9
4x4=16
14 is between 9 and 16.
A marathon runner's time was 2% longer Tuesday than Monday. How much time did he log on Tuesday when compared to Monday.
A. y= 1.02x
B. y=(1 - 0.2)x
C. y= 1.2x
D. y= 0.02x
Answers
Answer:
B.
Step-by-step explanation:
I just guesses
A hiker walks at a speed of 3 2/5 kilometers per hour. How many kilometers will the hiker walk-in:
3/4 hour?
Pls, give the answer in fraction form.
Answers
Answer:
2.55 km or 2 11/20 km or 51/20 km
What are your answer choices?
need help 8y+3y+9x+4y-5x
Answers
Answer:
4x+15y
Step-by-step explanation:
If you want it simplified
Natalia cut a pie into eighths. She ate 3/4 of the whole pie. What fraction of the pie
did she eat?
Answers
because you would multiply both number by 2.
4X + 11 < -21 graph represents
Answers
Answer:
The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3
Answer: x=-8. (graph with open circle going left from -8 for khan academy)
Step-by-step explanation: -21-11<-32
4x>-32
x<-8
86
Work out the size of angle x.
47°
Answers
Answer:
133 degrees
Step-by-step explanation:
The angle 47 degrees is on a straight line, and the angles on a straight line add up to 180 degrees.
So, to find the angle parallel to 47 degrees, subtract 47 degrees from 180 degrees
180 - 47 = 133 degrees
Now, the relationship between the angle that is 133 degrees and the angle of x is that they are corresponding angles.
And corresponding anglea are the same.
Thereforw, x = 133 degrees
hope this helps :)
The price of a pair of shoes increases from $55 to $72. What is the percent increase to the nearest percent?
The percent increase is
%.
Answers
(17/55) x 100
= 1700/55
= 30.90909...
= 30.9% (3sf)
Answer: 55, 720
This is the answer. No doubt about it
What is 2 1/3 ÷ 1 1/2??
Answers
Answer:
2 1/3 / 1 1/2 = 1.55555556
Step-by-step explanation:
Answer:
1.555555556
Step-by-step explanation:
because its the answer dude
Which of the following statements is correct? Group of answer choices For day-to-day business data analysis, most firms rely on a large staff of expert statisticians. A statistical test result that is significant also has practical importance. A parameter is a measure that is calculated from a sample. Statistics is the science of believability.
Answers
Answer:
Step-by-step explanation:
From the answer choices available the answer that is correct is that for day-to-day business data analysis, most firms rely on a large staff of expert statisticians. This is because on a daily basis firms receive large sets of data from all of their business movements, therefore a large staff of highly experienced individuals is needed in order to handle and document all of these numbers carefully so that no mistakes are made. The smallest mistake in the firm's financial accounts can lead to a very costly loss for the company.
Help please asap thx
Answers
Answer:
2 and a half, but it wants it as a mixed fraction which would be 5/2
Step-by-step explanation:
i hope this helped :)
Answer:
5/2.................
List all the factor pairs for 48. make a table to help and add the table.
Answers
Answer:
The factor pairs of the number 48 are: 1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8
Step-by-step explanation:
:) 2x+6y=23
2x+6y= 14
Answers
Answer:
No solution
Step-by-step explanation:
One-third of Olivia’s age, increased by 12, is equal to twice her age, decreased by 3. How old is Olivia?
Answers
Answer:
the answer is 9
Step-by-step explanation:
a square dance set requires 4 couples 8 dancers with each couple standing on one side of a square. There are 250 people at a square dance. What is the greatest number of sets possible at the dance?
Answers
Given:
1 set requires 4 couples 8 dancers.
Total number of people at a square dance = 250.
To find:
The greatest number of sets possible at the dance.
Solution:
We have,
Total people = 250
1 set = 8 people.
[tex]\text{Number of possible sets}=\dfrac{\text{Total people}}{\text{People required for 1 set}}[/tex]
[tex]\text{Number of possible sets}=\dfrac{250}{8}[/tex]
[tex]\text{Number of possible sets}=31.25[/tex]
Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.
[tex]\text{Number of possible sets}\approx 31[/tex]
Therefore, the number of possible sets at the dance is 31.
eden purchased a home for $156,200. The home appreciates about 4.5% each year. what is the value of the home after 17 years?
Answers
Answer:
590,088
Step-by-step explanation:
So you divide 156,200 by 4.5 then once you have that times it bye the 17 years I think
4(3+c)+c=c+4 ???????????????????????????
Answers
Answer: = - 2
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
4(3+4) so you do multiplication because there is a parenthesis and you do the 4 multiply the number that is inside the parenthesis so 4x3 + 4x4 you do that and then multiply it then we will have 12+16 and we add that we get 28 and that’s the answer I hope it helps you
Need help ASAP... 10 points!!
Answers
Answer:
I'm 89.73% sure that the answer is 90 degrees
Step-by-step explanation:
because you are on a right angle
look at Michael expression. Why do you add 6+4 first
Answers
Answer:
probably cuz its in parentheses but there's no picture
Step-by-step explanation:
an area of a rectangle city park is 1556 square miles the width of the park is 3/7 miles what is the length in miles of the park
Answers
Answer:
457
Step-by-step explanation:
value of 1556
explanion
2) If the bill is $100 and the tax rate is 10%, then the sales tax is how much
money? *
$ 20.00
$ 25.00
$ 10.00
$ 5.00
3) If the bill is $45.12 and the tax rate is 13%, then the sales tax is how much
Answers
3). 5.86? I’m not sure if this is correct.
