Graph the equation y=-x^2+12x-32y on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Answers
The vertex of the quadratic function y = - x² + 12 · x - 32 is located at point (0, - 20) and the roots of the abovementioned are points (4, 0) and (8, 0), respectively.
How to graph a quadratic function
By fundamental algebra theorem we need at least three no coplanar different points to graph quadratic functions. First, we determine 5 different points, then we pass the curve through the five points and finally we identify the roots and the vertex.
If we know that (- 16, - 480), (- 12, - 320), (- 8, - 192), (- 4, - 96), (0, - 32), then the graph of the quadratic function is shown in the image.
The vertex of the quadratic function y = - x² + 12 · x - 32 is located at point (0, - 20) and the roots of the abovementioned are points (4, 0) and (8, 0), respectively.
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Related Questions
Three letters are randomly chosen from PROBABILITY. What is the probability that at least one of the letters is B?
Answers
Answer:
2/11
Step-by-step explanation:
thats the probability
Answer:
2/11
Step-by-step explanation:
What is the domain of the relation?
✔ -4<=x<=6
What is the range of the relation?
✔ -4<=y<=4
Is the relation a function?
✔ yes
here are all the answers
Answers
Answer:
thx for ur help
Solve the quadratic equation and give both solutions.
14x^2 − 29x − 15 = 0
Answers
Answer:
Step-by-step explanation:
[tex]x_{1,\:2}=\frac{-\left(-29\right)\pm \sqrt{\left(-29\right)^2-4\cdot \:14\left(-15\right)}}{2\cdot \:14}[/tex] so [tex]x=\frac{5}{2}[/tex] [tex]x=-\frac{3}{7}[/tex]
Convert 144 pounds to kilograms. Use 1 kg = 2.2 Ib. Round your answer to the nearest tenth. kg
Answers
Answer:
Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :
144/2.2
=65.45
=70 kg
Q(9,10) R(-5,2) S(-8,-2) T(-1,2)
Answers
Answer:
its perpendicular
Step-by-step explanation:
Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for
each hour that he spends in the water. How much did Josh spend if he was on the river
for 4 hours?
Answers
Answer:
Whats a kayak?
Step-by-step explanation:
Find the quotient of 60:5
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
60:5 = 60/5. 60/5=12
anybody understand this ? please help me .
Answers
Answer:its a or b
Step-by-step explanatio
Answer:
The answer is (2)
Step-by-step explanation:
We know that to the distance between two numbers on a number line, we subtract the smaller number from the larger number. For instance, the difference between [tex]5[/tex] and [tex]3[/tex] is simply [tex]5-3[/tex], which is [tex]2[/tex]. With that being said, variables such as [tex]p[/tex] or [tex]q[/tex] differ from a question to another. Sometimes, the [tex]p[/tex] is larger, but sometimes the [tex]q[/tex] is. If we don’t know which one is which, we can subtract them in any order and take the absolute value of that result. If the result of subtraction is positive, great! The absolute value of that is still positive ([tex]5-3=2\\|5-3|=2[/tex]) If it’s not, now it is! (e.g., [tex]|3-5|=2[/tex]! Therefore, the answer is (2) [tex]|p-q|[/tex].
The length of a rectangle is (2x+3) and the width is x-5. If the perimeter is 44cm what is the length of the rectangle?
Answers
Perimeter = 2x length + 2x width.
2(2x+3) + 2(x-5) = 44
Simplify:
4x + 6 +2x -10 = 44
Combine like terms:
6x -4 = 44
Add 4 to both sides:
6x = 48
Divide both sides by 6:
X = 8
Now replace x with 8 in the equation for length:
2x + 3 = 2(8) +3 = 16 + 3 = 19 cm
Length = 19 cm
What is the measure of CAD
Answers
Answer:
CAD = 128
Step-by-step explanation:
Find the area of the shape shown below
Answers
Answer:
18 MARK AS BRAINLIEST OR ELSE!!!!
Step-by-step explanation:
area = 1/2h(sum of bases)
area = 1/2x3(3+9)
area = 1/2 of 36
area = 18
Use the distributive property to remove the parentheses.
9(6-v)
Answers
Answer:
[tex]54-9v[/tex]
Step-by-step explanation:
To remove the parentheses by using the distributive law, we need to multiply [tex]9[/tex] to each term within the parentheses.
[tex]9(6-v) = 9(6) +9(-v)[/tex]
[tex]=54-9v[/tex]
Hope this helps :)
How long will it take an investment to double in value if the interest rate is 6% compounded continuously
Answers
Answer:
11.55 years
Step-by-step explanation:
Formula to calculate the final value when the money is compounded continuously is,
Final value = [tex]\text{(Present value)}.e^{rt}[/tex]
Here 'r' = rate of interest
t = duration for the investment
Let the money invested = $x
We have to find the duration in which the present value gets doubled.
Final value = $2x
Rate of interest = 6% per year ≈ 0.06
By substituting these values in the formula,
[tex]2x=x.e^{0.06t}[/tex]
[tex]2=e^{0.06t}[/tex]
ln(2) = [tex]\text{ln}e^{0.06t}[/tex]
0.693147 = 0.06t
t = 11.55 years
Therefore, invested amount will be doubled in 11.55 years.
If start fraction 1 over 3 end fraction is equivalent to 33start fraction 1 over 3 end fraction%, what percent is equivalent to two-thirds? A. 33two-thirds% B. 150% C. 66two-thirds% D. 65%
Answers
Answer:
The answer is C 66%
Step-by-step explanation:
what is 32 divided by 97
Answers
Answer:
0.32989690721
Step-by-step explanation:
Answer:
rounded to the nearest hundred: 0.33
Step-by-step explanation:
hope this helps :3
Rip king Von pop smoke quando rondo timmie and yea
Points and brainlest help me out on my question !!
Answers
Answer:
RIP to all those kings!!
Step-by-step explanation:
Rasheed wants to buy two new video games that cost $28.50 each. He earns money for them by mowing lawns in his neighborhood, and his earnings are shown in the table below. Rasheed’s Earnings Week Amount Earned 1 $7.50 2 $4.85 3 $12.25 4 $9.00 5 $8.15 How much more does Rasheed need to earn before he can buy the video games? $3.85 $13.25 $15.25 $17.00
Answers
Answer:c
Step-by-step explanation:
I just toke the quiz
Answer:
c
Step-by-step explanation:
Graph a line with a slope of 4 that contains the point (3,0).
Answers
Hi there!
Recall that slope-intercept form is:
y = mx + b
Where m = slope
In this instance, we are given a slope of 4, therefore:
y = 4x + b
Substitute in the x and y coordinates of the point given:
0 = 4(3) + b
0 = 12 + b
Subtract 12 from both sides:
-12 = b
Therefore, the equation would be:
y = 4x - 12
Graph the equation by finding x and y values or using a calculator:
x = 0, y = 4(0) - 12 = 12 (0, 12)
x = 1, y = 4(1) - 12 = -8 (1, -8)
x = 2, y = 4(2) - 12 = -4 (2, -4)
x = 3, y = 4(3) - 12 = 0 (3, 0)
And so forth:
To graph a line passing through a point (3, 0) and slope 4, we will find the equation of the line first.
Since, equation of a line passing through a point (h, k) and slope 'm' is given by,
y - k = m(x - h)
Therefore, equation of a line passing through (3, 0) and slope 4 will be,
y - 0 = 4(x - 3)
y = 4x - 12
For y-intercept put x = 0 in the equation,
y = 4(0) - 12
y = -12
For x-intercept put y = 0 in the equation,
0 = 4x - 12
x = 3
Therefore, line will intersect x-axis at (3, 0) and y-axis at (0, -12).
By joining these points we can find the graph of the line passing through (3, 0) and having slope = 4.
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Teresa plans to attend college in 3 years. She will need $13,600 for the first-year cost. Her uncle gave her a special gift of $10,000 to use toward the cost. How much must Teresa save each month to have enough for the first-year cost?
Answers
Answer:
100$ per month
Step-by-step explanation:
The school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft
Dimensions: 2 1/4 and 3 3/16
Using the dimensions indicated on the drawing, what is the total area of the new room?
Answers
Answer:
the total are is 459
Step-by-step explanation:
3 3/16 divided by 1/8 = 25 1/2 or 25.5
2 1/4 divided by 1/8 = 18
so 18 x 25.5 = 459
hope this helps
The total area of the new room is 459.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
WE are given that school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft
Dimensions: 2 1/4 and 3 3/16
Therefore,
3 3/16 divided by 1/8 = 51/2 or 25.5
2 1/4 divided by 1/8 = 18
Thus we have the area
= 18 x 25.5
Area = 459
The total area of the new room is 459.
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What is the area of the rectangle?
60 units2
66 units2
70 units2
74 units2
Answers
Find the Surface Area:
Of the picture below
6cm
3 cm
3 cm
2 cm
Answers
Answer:
72 cm^2 OR 72 sq cm.
Step-by-step explanation:
6 x 5 = 30
10 x 3 = 30
2 x 6 = 12
30 + 30 + 12 = 72
Sorry, i don't exactly know how to explain it without drawing it. But i assure you it is correct.
It is known that 10% of the UNIVERSITY students own their own car. If a random sample of 10 students is taken, what is the probability that at most 2 have their own vehicle?
Answers
Probability of students having their own vehicle
= 2/10
= 1/5
There are 60 students in a classroom, 50% of the students are
boys. 30% of the boys and 60% of the girls want to buy the
new textbook. How many students want to buy the new
textbooks?
___ students
Answers
Answer:
28
Step-by-step explanation:
If 50% of students are boys that means there are 30 boys and 30 girls. Then if 30% of boys are 10 and 60% of girls are 18. You add 18+10 and that gives you 28.
Michelle works in the mall and her hours increase during busy shopping times of the year. Michelle has a plan to
save $45 each week for 7 weeks, and then increase that amount by $30 for the next 8 weeks during the busy time,
then go back to $45 per week. If Michelle's plan is to save $1185, how many weeks total will she need to save?
Show your work
12
II
Answers
Answer:
The total number of weeks Michelle needs to save is 29.
Step-by-step explanation:
Michelle plans to save $1185 in a number of weeks to determine later.
In the first 7 weeks, she will save $45 each week for a total of
$45 * 7 = $315
In the next 8 weeks, she will save $30 each week for a total of:
$30 * 8 = $240
During these 15 weeks, she has saved
$315 + $240 = $555
She still has a remaining $1185 - $555 = $630 to save.
Those $630 will be saved in a number of weeks at $45 per week, thus the number of weeks is:
$630 / $45 = 14 weeks
Total weeks = 15 + 14 = 29
The total number of weeks Michelle needs to save is 29.
Solve -3(5x-9) please
Answers
Answer:
12
Step-by-step explanation:
Which values, in order, will complete the table
Answers
Answer:
A or -1/2, -rad2/2, -rad3/2
Step-by-step explanation:
Right on edge
Answer:
A
Step-by-step explanation:
correct on edge 202222222
Can anyone help me find parallel segments in this diagram ? It doesn’t matter if it’s just a few or 2
Answers
Answer:
A-F parallel to B-D
B-A parallel to D-F
B-F parallel to C-E
Step-by-step explanation:
Line segment A-F is parallel to B-D
Line segment B-A is parallel to D-F
Line segment B-F is parallel to C-E
Select the correct answer. Leeann works 20 hours per week and makes $15 per hour. What is her yearly pay? A. $10,100 B. $12,500 C. $15,600 D. $18,200
Answers
Answer:C
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer would be C, It would be 300$ an hour and then you multiply that by the amount of weeks you get the number in C.
What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)
Answers
The required value of θ for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.
What are trigonometric functions?The basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.
The given equation is,
cos(θ)=sin(θ/3-10) (1)
To find the value of θ,
Change the whole equation into one trigonometric function,
Since, cos(θ)=sin(90-θ)
Substitute this value in equation (1)
sin(90-θ)=sin(θ/3-10)
⇒90-θ=θ/3-10
⇒4θ/3=80
⇒θ=60
The value of θ is 60°.
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