The function f(x) is a quadratic function and a limited table of values is provided
below. Write the equation of the quadratic polynomial in standard
form.
Answers
Answer:
x^2 - x - 12
Step-by-step explanation:
The quadratic will have the form f(x) = ax^2 + bx + c
Note that when x = 0, y = -12. Thus, we have f(0) = a(0)^2 + b(0) + c = -12, and the function (so far) is f(x) = ax^2 + bx - 12.
Arbitrarily choose two more ordered pairs from the table. I've chosen (-3, 0) and (-4, 8).
For (-3, 0), the quadratic becomes 0 = a(-3)^2 + b(-3) - 12, or:
0 = 9a - 3b, and
For (4, 8), f(4) = 8 = a(4)^2 + b(8), or 8 = 16a + 8b, or 1 = 2a + b, or b = 1 - 2a
Solve 0 = 16a + 4b and b = 1 - 2a for a and b.
Let's use substitution: Substitute b = 1 - 2a into 0 = 9a - 3b or 3a - b = 0:
3a - 1 - 2a = 0, or a = 1.
Since b = 1 - 2a, we get b = 1 - 2(1) = -1
and so a = 1, b = -1 and c = -12
Then the polynomial must be: x^2 - x - 12
Related Questions
When changing 67, 430,000 to scientific notation, how many places is the decimal point moved?
Answers
Answer:
6.743*10^7
Step-by-step explanation:
Given data
The number is 67, 430,000
Let us count from the left the right
counting, we have 7 places to the right before the last digit 6
Hence the number of places is 7
The scientific notation is
=6.743*10^7
What is the length of the hypotenuse of the triangle below?
912
45"
90"
92
n
459
Choice
A.
92
B.
9
C
18
E
812
F.
18 V2
Answers
Answer:
D) 18
Step-by-step explanation:
(9√2)²+(9√2)²=h²
81x2+81x2=h²
162+162=h²
324=h²
√324=h
18=h
It takes 20 minutes to drive from Micah's apartment to his school. Which unit is
best for measuring how far Micah lives from school?
meters
centimeters
millimeters
kilometers
Answers
The best unit for measuring distance of Micah apartment from school is kilometers.
Here,
It takes 20 minutes to drive from Micah's apartment to his school.
We have to find the best unit to measuring the distance between Micah's apartment from school.
What is Units in distance?
The most common units of distance are millimeters, centimeters, meters, and kilometers.
Now,
It drive and takes 20 minutes to reach Micha's school from his apartment.
That's mean distance between Micha's school from his apartment is too long.
Hence, we measure the distance from Micah's apartment to his school
in Kilometers.
Because, Meters, centimeter, millimeter all are smaller than kilometer.
So,
The best unit for measuring distance of Micah lives from school is kilometers.
Learn more the units in distance visit:
https://brainly.com/question/9606366
#SPJ2
what is (4x - 4) + (2x + 2)? (no direct answer.)
Answers
Answer:
6x -2
Step-by-step explanation:
(4x - 4) + (2x + 2)
4x + 2x = 6x
-4 + 2 = 2
6x - 2
Given the following triangle, which Trig function would you use to solve for the missing side length? *
Captionless Image
Sine
Cosine
Tangent
Answers
Answer:
cosine
Step-by-step explanation:
I need to know the answer step by step.
Answers
Answer:
108
Step-by-step explanation:
Since B=3, you need to do 4(3)^2*3
Do 3^2, which is 9,
4*9=36,
36*3=108
4.25 • (–1.25) positive or negative?
Answers
Answer:
Negative
Step-by-step explanation:
Positive times a negative will always be negative
The cost of 5 pounds of bananas is $3.25. What is the constant of proportionality that relates the cost in dollars, y, to the numbers of pounds of bananas, x?
Answers
Answer:
X = Cost of the bananas
Step-by-step explanation:
While y represents the weight (in pounds) of the bananas, x represents the cost of the bananas proportional to the weight.
Answer:
0.65
Step-by-step explanation:
Which statement shows correct reasoning for finding 12+3/8? A Multiply 12 by 8, then divide by 3. B. Multiply 12 by 3, then divide by 8. C. Multiply 3 by 8, then divide by 12 D. Multiply 12 by 1/8, then multiply by 3.
Answers
Answer:
B
Step-by-step explanation:
plz mark the brainliest. if that is adding not multiplying, you will do 3 divide by 8 first and then add 12. I think its a typo and it is multiply so if it is multiply, it is B. plz mark the brainliest
the taxi fare in a city is as follows: for the first kilometre, the fare is rupee 8 and for the subsequent distance it is rupee 5 per km. taking the distance covered as x km and total fare as rupee y, write a linear equation for this information, and draw its graph
Answers
Answer:
The linear equation is Y=5x+8 where x>0
(you can input this into the Desmos graphing calculator to see the graph if you like!)
Step-by-step explanation:
To get the answer is fairly straight forward. If we know that distance covered is x in the equation and we know that a linear equation follows the template Y=mX+b where m is slope and b is the y-intercept. The first step is to fill in what we know. That would look as such Y=_X+_. We can then attempt to fill in the blanks for m and b. Because we know that it is 5 rupees extra per subsequent kilometre we can put 5 as the multiplier for x and there is our m or slope. We now have Y=5x+_. Now for b. B in this case is quite simple as is showing us where the start of the graph is. It is stated that there is a flat fee of 8 rupees, so the total can never be less than 8. Because b is simply where the line intercepts the y axis, and we want it to intercept at 8, we can just put a plus 8. And there you have it Y=5x+8. One important note is that the graph when drawn should be a ray extending from point (0,8). This is because we want to eliminate all of the areas on the plane that would make the fare negative, as we could not have a negative cab fare. This is as simple as plotting the line starting from point (0,8) on the y axis. Happy to help!
Which is the least amount?
[A] 1.20 [B] 0.21 [C] 1.02 [D] 1.020
Answers
The Answer Is:
B (0.21)
Is 5 a factor of 24r + 45?
yes
no
HELP PLSSS
Answers
Answer:no
Step-by-step explanation:
Answer:
sure
Step-by-step explanation:
if a sphere has the same volume as a cube with edge length 5, estimate the radius of the sphere
Answers
Answer:
The radius of the sphere will be:
[tex]r=3.1[/tex] unitsStep-by-step explanation:
Given that a sphere has the same volume as a cube with edge length 5.
[tex]V_c=V_s[/tex]
[tex]\:a^3=\frac{4}{3}\pi r^3[/tex]
[tex]\:r^3=\frac{3\:a^3}{4\pi }[/tex]
[tex]\:\:r=\sqrt[3]{\frac{3\:a^3}{4\pi \:}\:\:}[/tex]
substitute a = 5
[tex]r=\sqrt[3]{\frac{3\:\left(5\right)^3}{4\pi \:\:\:}\:\:}[/tex]
[tex]r=3.1[/tex] units
Therefore, the radius of the sphere will be:
[tex]r=3.1[/tex] unitsWhat value of x makes this equation true?
6x - 3 = 5x - 5
Answers
Answer:
x= - 2
Step-by-step explanation:
Type the missing numbers in this sequence:
31, , , 58, 67, 76
Answers
*twists ankle from jumping* aCK-
Answers
Answer: second sign
Step-by-step explanation:
And what it is you’re saying if either of them are greater, less than or equal to
Since 3/8=0.375 and 1/2=0.5, it leads to 1/2 being greater to 3/8.
giving brainliest to whoever can solve correctly
Answers
Answer:
The answer is 9
Step-by-step explanation:
4/9 = 9/4
Is 5.6742 rational number
Answers
Answer:
YES
Step-by-step explanation:
A sample is taken from all college freshmen. Right-handed students are excluded. What is this an example of?
A. Nonresponse bias
B. Nonselection bias
C. Response bias
D. Selection bias
Answers
Answer:
D
Step-by-step explanation:
Selection Bias because they are selecting people who are not Right handed.
Answer:
Step-by-step explanation:
D.SELECTION BIAS
12x=9y+27 in slope intercept form with work
Answers
Divide the polynomials.
Your answer should be a polynomial.
22
49
x +7
Answers
Answer:
x - 7
Step-by-step explanation:
Given
[tex]\frac{x^2-49}{x+7}[/tex]
x² - 49 is a difference of squares and factors as (x - 7)(x + 7)
= [tex]\frac{(x-7)(x+7)}{x+7}[/tex] ← cancel x + 7 on the numerator/ denominator
= x - 7
Answer:
Formula used: a²-b²=(a-b)(a+b)
[tex] ★\:\:\frac{( {x}^{2} - 49) }{(x + 7)} = \frac{ ({x}^{2} - {7}^{2} ) }{(x + 7)} = \frac{(x - 7)(x + 7)}{(x + 7)} =\boxed{ (x - 7)}[/tex]
(x-7) is the right answer.I WILL MARK BRAINLIEST!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
hope it helps thank you
Help I need somebody help not just anyboddyyayyayaya
Answers
Answer:
12:3/4, 3:3/16, 6:3/8
Step-by-step explanation:
12:3/4
by dividing that by 4, 3:3/16
by multiplying that by 2, 6:3/8
25% of ___ is 7 ??????
Answers
Answer:28
Step-by-step explanation:
This is a missing whole problem so you must divide 7 by 25/100
Or multiply it by it's reciprocal 100/25 or 4/1 x 7 = 28
What is the volume of a rectangular prism with a height of 5 meters and a base with area 19 square meters?
Enter your answer in the box.
Answers
4. THE LOV TEMPERATURES FOR A VEEK IN EDMONTON, ALBERTA ARE -15°C, -1200
-10°C, -12°C, -18°C, -20°C, AND_-25°C. WHAT IS THE MEAN LOV
TEMPERATURE FOR THE WEEK? SHOW YOUR WORK
Answers
Answer:
-16°C
Step-by-step explanation:
The lov temperatures for a week are :
-15°C, -12 , -10°C, -12°C, -18°C, -20°C, and -25°C.
We need to find the mean love temperature for the week.
Total no. of observations = 7
Mean = sum of observations/total no of observations
[tex]M=-\dfrac{15+12+10+12+18+20+25}{7}\\\\M=-16^{\circ} C[/tex]
So, the mean temperature is -16°C.
angle D=(7b+1) angle E=(2b+1) and angle F=(b+8) what is the measure of angle E
Answers
angleD=(7b+1)angle E=(2b+1)and angle F=(b+8)
Answer:
<E = 35
Step-by-step explanation:
7b + 1 + 2b + 1 + b + 8 = 180
combine like terms
7 + 2 + 1 = 10
10b
1 + 1 + 8 = 10
10b + 10 = 180
substract 10 from 180
= 170
10b = 170
170 divided by 10
= 17
now plug in for b for angle E
2 (17) + 1
= 35
HELP ASAPPPPpppppppp
Answers
Answer:
1/12
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
1 x 1 = 1
3 x 4 = 12
5.02 Which equation does the graph below represents?
1. y = -1/2x
2. y = -2x
3. y = 1/2x
4. y = 2x
Answers
Answer:
2. y= -2x
Step-by-step explanation:
When the line is on an exact point like it is on (-4, 8), we can simplify it by going rise/run
Rise is the same as y (8), and your run is x (-4)
When you divide 8/-4, your answer will be -2
Therefore, the answer is y= -2x
Find the radius of a circle in which an inscribed square has a side of 8 inches.
Answers
Answer:
[tex]4\sqrt{2} =5.66[/tex]
Step-by-step explanation:
The square is in the circle, so the diameter is the diagonal line of the square. This divides the square into two right triangles.
Two sides of the right triangle equal 8. This qualifies it as a special right triangle. This triangle has two sides that = x (in this case 8) and the hypotenuse is [tex]x\sqrt{2}[/tex].
Substitute 8 in for x.
[tex]8\sqrt{2}[/tex] is the diameter, so we divide in half to get the radius = [tex]4\sqrt{2}[/tex]