Write the equation for the quadratic function in the graph.
OA) (x) = -1/4(x - 3)(x + 6)
B) h(x) = -1/4(x - 6)(x + 3)
C) h(x) = 1/4(x - 3)(x + 6)
OD) h(x) = 1/4(x - 6)(x + 3)
Answers
Answer:
B) h(x) = -1/4(x - 6)(x + 3)
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
In this question:
Concave down, so [tex]a < 0[/tex], which excludes options c and d.
Roots at x = 6 and x = -3. So
[tex]-\frac{1}{4}(x-6)(x-(-3)) = -\frac{1}{4}(x-6)(x+3)[/tex]
So option B.
Related Questions
The linear function graphed below represents Brenda’s monthly cell phone bill based on the number of hours she uses. What is her hourly rate?
Answers
Answer:
You didn't attach an image, can't exactly help. sorry!
A meteorologist reports that there is a 30% chance the temperature will fall below freezing tomorrow. On any given day, the bus has a 60% chance of being late.
Assuming the bus travels independently of temperature, what is the probability that a passenger would be waiting for a late bus in freezing weather?
Answers
===========================================================
Explanation:
Convert each percentage to decimal form
30% converts to 0.3060% converts to 0.60Then multiply the decimal values
0.30*0.60 = 0.18
That converts to 18%
So there's an 18% chance that both events happen at the same time. In other words, there's an 18% chance of the temperature falling below zero and the bus being late.
Which expression is equivalent to this quotient? 3x^2 -3/x^2+3x/ x+1/ x(x+3)
Answers
It's a bit tedious, but it's just a bunch of factoring and manipulation.
If your house was worth $250,000.00 and you had to pay 2% of that amount to the town for local property tax. How much tax would you have to pay?
Answers
Answer:
5000
Step-by-step explanation:
250,000 x .02 (2%)=5000
If you apply the changes below to the quadratio parent function, f(x) = x2
what is the equation of the new function?
• Shift 1 unit right.
• Vertically stretch by a factor of 5.
• Reflect over the x-axis.
Answers
Answer:
[tex]f(x) = -5(x+1)^2[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x) = x^2[/tex]
Shift 1 unit right.
Shifting a function a units to the right is finding f(x+a). So
To shift one unit right:
[tex](x+1)^2[/tex]
Vertically stretch by a factor of 5.
To vertically stretch by a factor of 5, we multiply the function by 5. So
[tex]5(x+1)^2[/tex]
Reflect over the x-axis.
To reflect over the x-axis we multiply the function by -1. So
[tex]f(x) = -5(x+1)^2[/tex]
How do I calculate the probability of the next win for a team that won 12 out of 20 soccer games?
Answers
Answer:
3/5
Step-by-step explanation:
12/20 = 3/5
Given the sample −4, −10, −16, 8, −12, add one more sample value that will make the mean equal to 3.
Answers
Answer: The value to add to the set is 52
=======================================================
For a moment, ignore the extra value we'll add in later.
The given set of values add to -34.
Let x be the extra value we add in. It adds to the -34 to get -34+x, then we divide by 6 because the set {-4,-10,-16,8,-12,x} has 6 items.
So we get the mean (-34+x)/6
Set this equal to the mean we want (3) and solve for x
(-34+x)/6 = 3
-34+x = 6*3
-34+x = 18
x = 18+34
x = 52
The set {-4,-10,-16,8,-12,x} updates to {-4,-10,-16,8,-12,52} and this set has a mean of 3.
Which graph matches the equation y+3=2(x+3)?
A (0,3) (-3,-3)
B (0,6) (-3,0)
C (0,-3) (-3,-9)
D (3,3) (0,-3)
Answers
Answer:
A (0,3) (-3,-3)
Step-by-step explanation:
A graph will match the equation if both the coordinates points replaced in the equation generate a identity.
When x = -3
[tex]y + 3 = 2(x + 3)[/tex]
[tex]y + 3 = 2(-3 + 3)[/tex]
[tex]y + 3 = 0[/tex]
[tex]y = -3[/tex]
So (-3,-3) is part of the graph.
When x = 0
[tex]y + 3 = 2(x + 3)[/tex]
[tex]y + 3 = 2(0 + 3)[/tex]
[tex]y + 3 = 6[/tex]
[tex]y = 3[/tex]
So (0,3) is part of the solution.
(-3,-3) and (0,3), so option A.
A country's education department reported that in 2015, 70.8% of students enrolled in college or a trade school within 12 months of graduating high school. In 2017, a random sample of 154 individuals who graduated from high school 12 months prior was selected. From this sample, 94 students were found to be enrolled in college or a trade school. Complete parts a through c. a. Construct a 90% confidence interval to estimate the actual proportion of students enrolled in college or a trade school within 12 months of graduating from high school in 2017. and an upper limit of The confidence interval has a lower limit of (Round to three decimal places as needed.) ما
Answers
Answer:
The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In 2017, a random sample of 154 individuals who graduated from high school 12 months prior was selected. From this sample, 94 students were found to be enrolled in college or a trade school.
This means that [tex]n = 154, \pi = \frac{94}{154} = 0.6104[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 - 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.546[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 + 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.675[/tex]
The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.
suppose the linear regression line y= 3.009x - 77.131 predicts a pizza parlors profits based on the number of pizza sold if x represents the number of pizza sold, and y represents the pizza par;ors profits in dolloars about how much can the pizza parlor expect in profits if it sells 275 pizzas
Answers
Answer:
$750 dollars
Step-by-step explanation:
Y = 3.009(275) - 77.131
Y = 827.475-77.131
Y = 750.344
the place value of 4 in 56437 is:
Answers
Answer:
thousands
Step-by-step explanation:
56437
tents hundreds thousands
What expression is not equivalent to 2/3 *4.
Answers
Answer:
Step-by-step explanation:
Any expression that says (2 * 4)/3 is correct, even though there is a shift in the brackets. That means that A, B, C are all the same thing, and all are correct.
Only D is lying.
2*(1/3) = 2/3
4*(1/3) = 4/3 Now we have to add them
2/3 + 4/3 = 6/3 = 2
To show what the real answer is, try A
2*4/3
8/3 is the actual answer.
What steps do i have to take to get the proven
Answers
Answer:
I can't really see I wish I can help
I'LL GIVE YOU BRAINLEST IF YOU GET IT RIGHT AND EXPLAIN
I work at a restaurant and earn tips each night.On a busy Saturday night,I predict that i will earn $200 in tips for the night.When i get hom and i count up my total tips,I realize that the percent error is less than 10%.Select all of the following that could represent the amount I earned in tips?
$160
$180
$200
$220
$240
Answers
Ok.
You predicted that your tip will be $200.
You realised that you were wrong by less than 10%.
So,
10% of $200
= (10/100) × $200
= $20
So, your actual tip can be less or more by less than $20.
$160 (less than $200 by $40, so error = 20%)
$180 (less than $200 by $20, so error = 10%)
$200 (equal to $200, so error = 0%)
$220 (more than $200 by $20, so error = 10%)
$240 (more than $200 by $40, so error = 20%)
So, your possible actual tips can be:
$200 (equal to $200, so error = 0%)
Hope it helps!!!Have a great day. ^_^what is the domain of the function in this table?
Answers
Answer:
there is no table appearing so unfortunately no one can answer this for you. sorry!!
Find the future value for a $100,000 investment for 12 years at a compounded continuously at 2.1%?
Answers
Answer:
128659.6037
Step-by-step explanation:
contiously compounding interest formula:
PV(e^(i*t))
100000e^(.021*12)=128659.6037
solve the system of equations by graphing
2x+y=8
x+3y=9
Answers
9514 1404 393
Answer:
(x, y) = (3, 2)
Step-by-step explanation:
The attached graph shows the solution.
(x, y) = (3, 2)
A rectangular piece of plywood 7.00 ft by 10.00 ft is cut from one comer to an opposite comer. What are the angles between the edges of the resulting pieces? Include
all resulting angles
The angle(s) is/are degrees
(Round to the nearest tenth as needed. Use a comma to separate answers as needed. Do not include the degree symbol in your answer. Type each answer only
once.)
Answers
Answer:
Step-by-step explanation:
let one angle=a°
second angle=(90-a)°
tan a=7/10=0.7
a=tan^{-1}(0.7)≈35.0°
other angle=90-35=55.0°
David and Peter had $90 and $200 respectively. They were each given an equal amount of money. Then Peter had twice as much money as David. How much money did each boy receive?
Answers
You earned $24 mowing lawns, which is 3/4 of the amount your
friend made washing cars. Write and solve an equation to find the
amount of money c your friend made for washing cars.
Answers
A bowl has the shape of a hemisphere whose diameter is 14 centimeters. If this bowl is filled with water, how many cubic centimeters will it take to fill the bowl
Answers
Answer:
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
Step-by-step explanation:
Given;
diameter of the hemisphere, d = 14 cm
radius of the hemisphere, r = d/2 = 14/2 = 7 cm
The volume of the hemisphere is calculated as;
[tex]V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7} \times (7 \ cm)^3\\\\V = 718.67 \ cm^3[/tex]
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
Find the exact value of the following.
Find -xy, for x = -75.9 and y = 2.6.
-xy =
Answers
Answer:
197.34
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
x = -75.9
y = 2.6
-xy
Step 2: Evaluate
Substitute in variables: -(-75.9)(2.6)Multiply: (75.9)(2.6)Multiply: 197.34What is the reference angle for 289°?
Answers
Answer:
71º
Step-by-step explanation:
360 - 289 = 71º
How much simple interest is due on a loan of $120
for two years if the annual rate of interest is 5.5%
?*
Answers
Answer:
$133.2
Step-by-step explanation:
[tex]\frac{120*2*5.5}{100\\}[/tex]=13.2
13.2+120
133.2
The simple interest of$13.2 is due on loan of $120 for two years with the annual rate of 5.5%.
What is simple interest?simple interest is the interest amount for a particular principal amount of money at some rate of interest.
Simple interest formulaS.I = (P × R × T)/100
Where,
S.I is simple interest
P is the Principal amount
R is the interest rate
T is time in years
According to the given question.
We have
Principal, P = $120
Interest rate, R = 5.5%
And time, T = 2 years
Therefore, the simple interest for two years for the amount $120 is given by
[tex]S.I = \frac{(120)(5.5)(2)}{100}[/tex]
⇒ [tex]S.I = \frac{1320}{100}[/tex]
⇒ S.I = $13.2
Hence, the simple interest of$13.2 is due on loan of $120 for two years with the annual rate of 5.5%.
Find out more information about simple interest here:
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Find the radius of the circle whose equation is (x - 2)2 + (y - 4)2 = 9.
Answers
Hope this help!!!
Have a great day!!!
Please can someone answer quickly
Answers
PLEASE HELP MEEE
–h = 14
Answers
Answer:
Step-by-step explanation:
We know that h must be a negative number. In this case, h is equal to -14.
If the price of ice cream changes by 30 percent and the quantity demanded changes by 75 percent, what is the absolute value of demand elasticity?
Answers
I need the surface area and volume
Answers
Answer:
this is a cylinder and it volume is =2pie r²h
What is the value of log27 165
Answers
The solution of the logarithmic function log₂₇165 found using logarithmic properties is :
(1 + log ₃55)/3.
What is a logarithmic function?
The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. The usage of logarithmic functions makes it simple to determine some of the non-integral exponent values. The common logarithmic function, which has a base of 10, is identified by the symbols log₁₀ or log.
We are asked to solve the following logarithmic function.
log₂₇165
Here the base of the log is 27.
According to logarithmic properties, we can write the above functions as:
log₂₇165 = log 165 / log 27
If we are dividing the numerator and denominator by log 3, then the new base will become 3.
(log 165 / log 3) / (log 27/log3) = log ₃165 / log₃ 27
Now we can solve as follows,
log ₃165 / log₃ 27 = log ₃(3*55) / log₃ (3³) = [log ₃(3)+log ₃(55)] / 3log₃3
= (1 + log ₃55)/3
Therefore the solution of the logarithmic function log₂₇165 is
(1 + log ₃55)/3.
To learn more about logarithmic functions, follow the link.
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