Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
here are the answers given
\/
f(x) = −one eighth (x − 2)2 − 2
f(x) = one sixteenth (x − 2)2 + 2
f(x) = one eighth (x − 2)2 − 2
f(x) = −one sixteenth (x + 2)2 − 2
Answer:
f(x)=1/16(x-2)^2+2
Step-by-step explanation:
The Equation can be written like this:
f(x) = 1/(4p)(x -h)^2 +(k-p)
where (h, k) is the focus, and p is half the distance between focus and directrix. Here, (h, k) = (2, 6) and p=(6-(-2))/2 = 4. So the equation is ...
f(x) = 1/16(x -2)^2 +2
The box plot shows the number of years during which 16 schools have participated in a marching band competition: A box plot is titled Years of Participation and labeled Years. Number line from 0 to 10 with primary markings and labels at 0, 5, and 10. The box extends from 3 to 7 on the number line. There is a vertical line at 5. The whiskers end at 1 and 10. At least how many schools have participated for 3 to 7 years? (4 points) 3 schools 5 schools 7 schools 8 schools
the answer to the problem is 4
Answer:
4
Step-by-step explanation:
please help!
Try to solve the equation below.
2x^2+18=10
Explain why this equation has no real number solutions.
Answer:
Step-by-step explanation:
The discriminant of this equation, i.e, D=\(b^{2}-4ac\) is less than 0:
D= 0-(4*2*18) --> which is clearly negative
When D is less than 0, the equation has no real number solutions.
Therefore, \(2x^{2}+18=0\) has no real roots
Answer:
Step-by-step explanation:
0 has no roots so thats one, and im just trying to complete a challenge so sorry if im wrong :( but make other person brainliest they did good job :)
Please help! Thank you!
Answer:
525
Step-by-step explanation:
If it's just asking to find the average of heads then times it by 20 then just do 32+28+21+24 to get 105 and divide it by 4 to get 26.25 then times it by 20 since this is the average of 50 throws and it's asking for the average of 1,000 throws which is 525
The base of a triangular prism is a right triangle with a base of 20 feet and a height of 120 inches. The height of the prism is 5 feet.
What is the volume of the prism, in cubic feet?
Enter your answer as a number, like this: 42
Do not enter units.
HELPPPP PLEASEEEEE
Answer:
The volume in Cubic feet is 60 cft.
Step-by-step explanation:
we have to divide 20 by 120. 120 ÷ 20 = 60. Even though 5 is divisible by 60, we won't be doing that. 60 cft. is the answer.
Hope this helps!
Answer:
it is 500 cubic feet, when it is a triangle or triangular prism we divide it in half since its half a square, 120 inches=10 feet. 10ftx20x1/2=100. 100x5=500
please help I dont know how to do this.
Answer: The expression would be 2b+7
Step-by-step explanation:
b will be the number of blue beads for the bracelet.
The number of red beads will be represented as b + 7.
Determine the expression for the total number of beads.
Then we can written it as,
= b + (b +7)
= 2b + 7.
(ANSWER ASAP 60 POINTS)
One coral reef is located 18 feet below sea level. Another is located 29 feet below sea level. What is the difference in the depths of the two reefs?
−47 feet
−11 feet
11 feet
47 feet
Answer: The answer is 11 feet.
please help me i will give brainliest to first person to anwser.
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
Pls solve and show all work needed
Answer:
45 inches
Step-by-step explanation:
The perimeter of the picture before scaling is:
P = L+W+L+W
P = 4+5+4+5
P = 18
Multiply the perimeter by the scale factor.
P = 18 * 2.5
P =45
The sum of two numbers is 35. The difference of these two numbers is 17. Find the two numbers.
Answer:
x + y = 35
17 + y + y = 35
17 + 2y = 35
2y = 18
y = 9
x + y = 35
x + 9 = 35
X = 26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
Sum = 26 + 9 = 35
Allison had 18 postage stamps she gave 2/9 of the stamps to her mother and used 1/2 of the remaining stamps to send letters to her friends in Canada how many stamps are left
Plumber 1 charges $50 per hour plus a flat fee of $20.
Plumber 2 charges $60 an hour with no additional fee.
Complete the table and write a system of equations to represent the costs, where h is the number of hours and c is the total cost.
Answer:
H: 0, 1, 2, 3, 4, 5
plumber 1: 20, 70, 110, 160, 210, 260
plumber 2: 0, 60, 120, 180, 240, 300
plumber 1: C = 50h + 20
plumber 2: C = 60h
(4 3/10 −2 7/15 ) * 20 ( 4 3/10 and 2 7/15 are fractions)
Answer:
110/3 or 36 2/3
Step-by-step explanation:
4 3/10-2 7/15=11/6
11/6•20=110/3
Answer:
110/3 or 36 2/3
Step-by-step explanation:
Evaluate the parenthesis first which is 11/6. Multiply that by 20 to get 110/3 or 36 2/3
If a widget factory as a fixed operating cost of $2,500 per day plus a cost of $1.50 per widget produced. If a widget sells fro $5.00, what is the least number of widgets that must be sold per day to make a profit?
Answer:
At least 714 numbers of widgets must be sold per day to make a profit.
Given fixed operating cost = $2,500 per day cost of widget =$ 1.50
widget sells =$ 5.00
Cost function = C(X)=1.50x+2500
Revenue function = R(X)=5 x
At Break Even point R (X) = C (X)5
X= 1.50X+2003.5
X =2500X =714
Hence to reach break even point or make profit 714 no to be sold. R(714)= 3571.
Step-by-step explanation:
Which monomials are perfect squares? Select THREE options:
A: \(6x^2\)
B: \(6x^8\)
C: \(16x^9\)
D: \(25x^1^2\)
E: \(36x^1^6\)
Answer:
a,b,e
Step-by-step explanation:
2. Place brackets into the following to make each statement true
a) 3 + 2 × 4 = 20
b) 20 - 6 x 2 + 1 =
c) 4 x 2 + 3 + 1 = 21
d) 4 x 2 + 3 + 1 = 24
simplify 7 1/3 - 5 8/9 + 8 1/2
]Show all work
Answer:
38 7/18
Step-by-step explanation:
The LCD of denominators 3, 9 and 2 is 72; all three of these divide evenly into 72. Rewriting the original problem, we get
7 24/72 - 5 64/72 + 8 36/72
Rewriting the original quantities as improper fractions, we get
22/3 - 53/9 + 17/2
Applying the LCD, we get
24(22) 8(53) 17(36) 2764
----------- - ----------- + ---------- = ------------ = 38 7/18
72 72 72 72
\(7\frac{1}{3}-5\frac{8}{9}+8\frac{1}{2}= \frac{22}{3}-\frac{53}{9} +\frac{17}{2} = \frac{132}{18}-\frac{106}{18}+\frac{153}{18} =\frac{132-106+153}{18} =\frac{179}{18}=9\frac{17}{18}\)
ok done. Thank to me :>
A vine grows 7.5 feet every 5 days. Is the length of the vine on the last day proportional to the number of days of growth? Explain.
Answer:
yes since it grows at a constant rate at 7.5 feet/5 days so it should be proportional if you treat it as an algebraic equation and solve for the rate of 1 day's growth but that gives an assumption that no factors would affect the growth and it'll always grow at that exact rate
Step-by-step explanation:
Topic: direct and inverse proportions + problems in real world context + assumption questions
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
MARKING BRAINLIEST PLEASE HELP WICH ITEMS DO I DRAG INTO EACH BOXES PLEASE ONLY ANSWER IF YOU'RE 100% SURE
Answer:
The first 1 should go in the first box.
The second option should go in the second.
The last one should go in the third box.
Hope that helps!
Step-by-step explanation:
Answer:
2 tens 8 ones and 3 tenths —> 28.3
2 ones 8tenths 3 thousandths—>2.083
2 ones 8 hundredths 3 thousandths—>NA
2tenths 8hundreths 3 thousandth—> 0.283
Step-by-step explanation:
Hope this helps please mark me brainliest thanks! :D
Please explain your answer :D
don’t answer if you will not provide an explanation please :”)
Answer:
Step-by-step explanation:
QUESTION 7:
We are trying to find angles 1 and 2.
Known angle: 107˚.
In this question, we have 2 parallel lines with a transversal. A transversal is a line that passes through 2 parallel lines making it so that the angles on both sides are exactly the same.
Step 1: Find the measures of all the angles using the one we already know.
I will start with the angle adjacent (right next to) the angle that measures 107˚. As you can see, it is a supplementary angle because both of them form a straight line, or 180˚.
Therefore,
107+x= 180
x= 180-107
x= 73˚
Next, I will find the measure of the angle that is vertical to the one that measures 107˚. Note that angles that are vertical to each other are always identical, or in other words they have the same measure. Hence, the angle "vertical", or opposite to the one that measures 107˚ has to measure 107˚ as well. You can also tell this is true because they look the same.
Now I'll find the measure of the angle vertical to the one that measures 73˚. As we know, vertical angles are identical, so the one vertical to it is 73˚.
Here, I'll solve for angles 1 and 2. Like I said earlier, when a transversal crosses through 2 parallel lines, there will be 2 sets of angles that all have the same measurements.
To solve for angle 1, simply know what angle is right below it, and that is the one that measures 107˚. (If you look at the 2 lines, you will see that both angle sets are essentially duplicates of each other.) Likewise, angle 2 has to be 73˚ because the one under it is also 73˚.
Angle 1: 107˚
Angle 2: 73˚
QUESTION 8:
Again, we have a transversal that passes through 2 parallel lines. One angle measures 95˚. When there are 3 seperate angles along a straight line, the one next to the one with the given measurement will be the same as that one.
So angle 3 is 95˚. To find angle 4, find the angle measurement that's vertical to angle 3, which is 95˚. Now, since that angle and angle 4 are supplementary (both form a straight line which is always 180˚), 95+x= 180.
(x stands for angle 4)
x+95= 180
x= 180-95
x= 85
Angle 4= 85˚.
QUESTION 9:
ANGLE 5: 49˚
When there is a transversal, there are 2 identical pairs of angles. Therefore, angle 5 must be 49˚.
ANGLE 6: 131˚
angle 5 and angle 6 form a straight line which means they are supplementary angles. Therefore, both angles must add up to 180˚. So 49+x= 180
x= 180-49= 131
(x stands for angle 6)
Hope this helps!! Also I worked pretty hard on this so brainliest would be appreciated :D
Practice problems if it helps :) : https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-angles-between-lines/e/parallel_lines_1
Type a digit that makes this statement true.
153,80(number here) is divisible by 5.
Answer:
5Hope it helps!
Step-by-step explanation:
153805 is divisible by 5
(REPLY FOR EXTRA POINTS) School hack:
If you have a question something like this: "Determine which integer makes the inequality 6(n − 5) < 3(n + 4) true."
The answer would most likely be the last answer choice.
This is because when teachers create the question they put it as the last one to make you work out all of the firsts ones first so you can do more work which means more practice.
I'm not 100% sure, but I had a question like this and the answer was the last one.
Hope this school hack helps!! :)
Answer:
Or you could just solve for n and pick the choice that matches what you got :)
Step-by-step explanation:
istg some 1 help
A label is placed around a soup can during manufacturing. If the label is represented by the rectangle in the figure, how many square inches is the label? Answer in terms of π.
image of a net drawing of a cylinder is shown as two circles each with a radius labeled 4 inches and a rectangle with a height labeled 7.8 inches
94.4π square inches
32π square inches
30.1π square inches
62.4π square inches
Answer:
Step-by-step explanation:
c
I do give brainliest
Answer:
Step-by-step explanation:
Slope of the line = y2 - y1 ÷ x2 - x1
====> 8 - (-6) / (-1) - 5
= 14 / -6 = -7 / 3
Sam rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 99 cents for each mile driven. Sam had to pay $162.53 when he returned the truck. For how many miles did he drive the truck?
HELP THIS IS DUE TMR
The table shows the multiplication of two linear expressions. Select the correct reason for each step.
Reason 1:
Reason 2:
Reason 3:
Reason 4:
Answer:
Step-by-step explanation:
reason 1:
opening of brackets to solve the expression
reason 2:
in multiplication order is followed i.e. the number always lead the variable in the expression
reason 3:
for clarification brackets are added to multiply like terms i.e. numbers with numbers and variable with the variable
reason 4:
the solved and simplified expression is delivered as a result
Brainliest
Three cylinders have a height of 8 cm.... Find the volume of each cylinder. Round all answers to the nearest hundredth. Use 3.14 for pi.
so basically you can just tell me where the boxes go and bam you get 20 points
Step-by-step explanation:
(2/3)(-4)(9) = -24
(5/16)(-2)(-4)(-4/5)= -2
(-3/4)(7/8)=-21/32
(2 3/5) (7/9)=91/45
how to solve 526.8- 318.05
Answer: 208.75
Step-by-step explanation: The result of 526.8−318.05 is 208.75. Basically
you use long subtraction to solve this equation. The image I attached will show you how to do it:
Part C of that harry question-
Part C: How many more dollars does Harry earn working as a babysitter for 5 hours than doing yard work for 5 hours? Show your work.
please help- T-T
Answer:
$12
Step-by-step explanation:
go do the work ur self lazy as