Answer: lol have the same question
Step-by-step explanation:
What are the features of the quadratic function ƒ(x) = (x – 3)(x + 7)?
Question 8 options:
A)
Vertex = (2,25), y-intercept = (0,21), x-intercepts = (7,0) and (–3,0), axis of symmetry is x = 2
B)
Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = 2
C)
Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2
D)
Vertex = (–2,25), y-intercept = (0,21), x-intercepts = (7,0) and (3,0), axis of symmetry is x = –2
Answer:
Option C:Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2
Step-by-step explanation:
We are given the function;
f(x) = (x - 3)(x + 7)
The axis of symmetry in a quadratic equation is given by the formula;
x = -b/2a
Expanding the function given, we have;
f(x) = x² + 4x - 21
a = 1
b = 4
c = - 21
Thus;
Axis of symmetry is:
x = -(4)/(2 × 1)
x = -2
Now, y-intercept is when x = 0
Thus;
f(0) = (0 - 3)(0 + 7)
f(0) = - 3 × 7 = - 21
y - intercept is (0, - 21)
x-intercept is when f(x) = 0
Thus;
(x - 3)(x + 7) = 0
Thus;
x - 3 = 0 or x + 7 = 0
x = 3 or x = - 7
x - intercept is (-7, 0) and (3,0)
The y-coordinate of vertex will be at the line of axis of symmetry.
Thus, we will put x = -2 into the function to get;
y = (-2 - 3)(-2 + 7)
y = -5 × 5 = - 25
Vertex is at (-2, -25)
Correct Answer is option C
Answer:
Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2
Step-by-step explanation:
Due today HELP PLEASEEEEE!!!
Answer:
Oiiiiio ka cha thik cha
The students can make 6 tickets from each sheet of paper. How many sheets of paper. How many sheets of paper are needed for 125 tickets?
Answer:
20.8333333
Step-by-step explanation:
6 x 20.8333333 = 125
List all subsets of the given set.
B = {Lennon, McCartney}
O {}, {Lennon}, {McCartney}
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
{}, {McCartney}, {Lennon, McCartney}
{ }, {Lennon}, {Lennon, McCartney}
{Lennon}, {McCartney}, {Lennon, McCartney}
please help!
Answer:
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
Step-by-step explanation:
Both the empty set and the total set are subsets of the given set.
Hence there are 4 subsets.
Answer:
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
Step-by-step explanation:
The life span of a graphing calculator manufactured by Texas Instruments has a normal distribution with a mean of 54 months and a standard deviation of 8 months. The company guarantees that any calculator that starts malfunctioning within 36 months of the purchase will be replaced by a new one. You apply the normal model and discover that this is approximately 1.22% of their graphing calculators. Texas Instruments has sold 75 million graphing calculators world- wide. How many of these would you expect to malfunction within 3 months (and thus need to be replaced)? Explain.
Answer:
The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Step-by-step explanation:
Let X represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.
It is provided that X follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.
Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.
That is,
P (X) = 0.0122
Texas Instruments has sold 75 million graphing calculators world- wide.
Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:
E (X) = n × P (X)
= 75 × 10⁶ × 0.0122
= 915000
Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 52 out of 1258 movies with summer release date earned over 400 million dollars. They also counted that out of 545 movies released in the winter, 8 earned over 400 million dollars.
Over 4 million USD Under 4 million USD
Summer release 57 1251
Winter release 11 544
Total
1. We want to investigate whether there is a difference in the proportion of movies that eam over 400 million dollars for the two release seasons. Which hypotheses should we use?
2. Calculate the difference in the proportions of movies that eamed over 400 million dollars.
3. The paragraph below describes the set up for a randomization test, if we were to conduct a hypothesis test without using software. Fill in the blanks with a number.
We write Summer on_____cards and cards representing the movies with summer release date, and Winter on_____cards. Then, we shuffle these cards and split them into two groups one group of size_____representing the movies with box-office over 400 million dollars, and another group of size_____representing the rest of the movies. We calculate the difference in the proportions of movies that eaned over 400 million dollars during the two release seasons to get PSmmer PWinter. Finally, we build a histogram of these simulated dfterences.
Answer:
Step-by-step explanation:
Over 4 million USD Under 4 million USD Total
Summer release 57 1195 1251
Winter release 11 533 544
1)Let [tex]P_1[/tex] be the proportion of movies that earn over 400 million in summer and [tex]P_2[/tex] be the proportion of movies that earn over 400 million in winter.
Null hypothesis:[tex]H_0:P_1= P_2[/tex]
Alternate hypothesis : [tex]H_a: P_1 \neq P_2[/tex]
2)Calculate the difference in the proportions of movies that earned over 400 million dollars.
[tex]P_1=\frac{57}{1251}=0.045[/tex]
[tex]P_2=\frac{11}{544}=0.0202[/tex]
3)
[tex]P_{(Summer)}-P_{(winter)}=0.045-0.0202=0.0248[/tex]
We write Summer on 1251 cards and cards representing the movies with summer release date, and Winter on 544 cards. Then, we shuffle these cards and split them into two groups one group of size 68 representing the movies with box-office over 400 million dollars, and another group of size representing 1728 the rest of the movies.
an equivalent ratio to the tape diagram shown is to
Answer:
it is 16 to 32
Step-by-step explanation:
if you divided 16 by 8 and 32 by eighth you get 2:4
If p = 5, q = 4, and r = 1, what is the value of p - r ?
a. 3
b. 4
c. 6
d. 1
Estimate the square root of the imperfect square of 18.
Answer:
18 times four is 72
Step-by-step explanation:
How is 5 represented in 6.75
Answer:
5 is in the hundreths place :))
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
since the place value of the five is beyond the decimal point, and it is the second number beyond the decimal point, so it is in the hundredths place.
If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square. For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface. Therefore, Φsquare is ________ ϕcircle .
Answer:
The area of this circle is [tex](\frac{\pi}{2} )[/tex] the area of the square.
For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.
Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle
Step-by-step explanation:
Area of the circle is given by;
[tex]A_c = \frac{\pi d^2}{4}[/tex]
Area of the square is given by;
[tex]A_s = L^2[/tex]
relationship between the edge length of the square, d, and length of its side, L,
[tex]d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}[/tex]
But area of the square , [tex]A_s = L^2[/tex]
[tex]d = \sqrt{2A_s}[/tex]
Then, the area of the square in terms of the edge length is given by;
[tex]A_s = \frac{d^2}{2}[/tex]
Area of the circle in terms of area of the square is given by;
[tex]A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )[/tex]
For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.
Ф = E.A
Flux through the surface of the circle is given by;
[tex]\phi _{circle} = E.(\frac{\pi d^2}{4})[/tex]
Flux through the surface of the square is given by;
[tex]\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )[/tex]
Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle
If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square
The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.
Φsquare is [tex]\dfrac{2}{\pi}[/tex] ϕcircle
Given
If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square
For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.
Therefore, Φsquare is ________ ϕcircle .
1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.
The area of the circle is;
[tex]\rm Area \ of \ circle = \dfrac{\pi d^2}{4}[/tex]
The area of the square is;
[tex]\rm Area \ of \ square = a^2[/tex]
The relationship between the edge length of the square, d, and length of its side a is;
[tex]\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a[/tex]
The area of the circle in terms of the area of the square is;
[tex]\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square[/tex]
If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square.
2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.
Ф = E.A
3. Flux through the surface of the circle is given by;
[tex]= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }[/tex]
To know more about Flux click the link given below.
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|-9×+7|+8 is less than or equal to 9
Answer:
I don’t think it’s neither less than it equal
Step-by-step explanation:
I could be wrong don’t listen to me :)
16,1,0,1,16 input x and output y -2,-1,0,1,2
Answer:
what is the question?
Step-by-step explanation:
Do you agree or disagree with the following statement? Explain your reasoning. "Since the speed of the ball is different at each position, there is no way to define probability density because I can’t calculate the probability at just one point."
Answer:
I disagree with the statement.
Step-by-step explanation:
Speed of the ball is different at each position:
This rhymes with the laws of physics because a ball placed at a certain height or on a certain slope will have a different speed (when thrown or rolled down) from a ball placed at a different height or on a different position on a plane.
There is no way to define probability density because i can't calculate the probability at just one point:
This statement is self-opposing as probability density is meant for times when probability value cannot be calculated or found for every given point! It is meant for continuous variables such as the one you're dealing with here - speed. The way to do this is to derive a probability density value for the variable in question (speed of the ball) for specific position intervals. Hence, divide the positions into intervals e.g.
A - B, B - C, C - D and so on.
So, probability density is used when you cannot the probability at just one point.
Zales was having a 60% off sale on all rings. Also if you shopped on Wednesdays, you got an extra 10% off. How
much would a $899.00 ring cost on Wednesday?
(Round to the nearest penny and label your answer $).
Answer:
it will be 199.00 dollors you have to spend
Step-by-step explanation:
899.00-70
57. Designing a Patio Suppose that you wish to build a
rectangular cement patio that is to have a perimeter
of 80 feet. The length is to be 5 feet more than the
width.
(a) Find the dimensions of the patio.
(b) If the building code requires that the cement be
4 inches deep, how much cement do you have to
purchase?
Answer:
A. dimensions
Step-by-step explanation:
it's the first thing you will need to find out I beleave.
1.Find the product of 419 and 321.
Answer:
134499
Step-by-step explanation:
When someone asks for the product of something they are saying multiply the two values.
So,
419 x 321 = 134,499
Answer:
$134,499
Step-by-step explanation:
The product is the result of two numbers that are multiplied. In this case 419 and 321.
419 x 321 = 134,499
what is 32221 x444444444444
Answer: 1.43
Step-by-step explanation:
Answer:
1.432044444444301e+17
Step-by-step explanation:
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver's distance for the
same section of the trip is displayed below.
Who had a head start, and how many miles was the head start?
Rita's Drive
y
(4, 288)
280-
Roger's Drive
240
Time (hr)
Distance (mi)
(3,223)
200-
1
65
160-
• (2, 158)
2
130
Distance (mi)
120-
3
195
(1,93)
80-
4.
260
40-
0
0
Time (hr)
Who Had the head start?
Answer:
hello your question is poorly written and the required options to the question is missing
options :
Rita had a 28-mile head start.
Roger had a 26-mile head start.
Roger had a 25-mile head start.
Rita had a 22-mile head start.
Answer : Rita had a 28-mile head start
Step-by-step explanation:
From the information given about the distance each driver has for the same section of the trip it can be conclude that Rita has a head start and this head start is by 28 miles
Answer:
a
Step-by-step explanation:
edge 2021
Write the expression using exponents.
a⋅a⋅c⋅c
The expression using exponents we can rewrite as [tex]a^2 . c^2[/tex] .
What are exponents ?The number of times a number is multiplied by itself is referred to as its exponent. For instance, 2 to the third (written as [tex]2^3[/tex] ) means: 2 x 2 x 2 = 8. 2 x 3 = 6 does not equal [tex]2^3.[/tex] Keep in mind that a number raised to the power of one is itself.Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.The key distinction is that an exponential function has its variable in the exponent, but a power function has its variable in the base.To learn more about exponent refer,
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For the expression 5-5x to have a negative value, what must be true about the value of x?
Answer:
x>1
Step-by-step explanation:
let's make this an inequality.
5-5x<0
let's solve.
-5x<-5
x>1
therefore, the value of x must be larger than 1 for this statement to make sense.
The value of x has to be greater than 1 in order for the expression to make sense.
Y intercept of y=(x+2)2-1
Answer:
It is -1.
Step-by-step explanation:
To start off y=mx+b is the formula for this type of problem. y and x are variables, m is the slope, and b is the y-intercept. Since you need to identify the y-intercept, all you need to do is look at the end of the equation to find the y-intercept. In this case it is -1, since -1 is b.
Hope that helps!
Answer:
actually the answer is 3
Step-by-step explanation:
the reason it's a nagative is because the one was flipped to the opposite side of the equation flip it to a positive and add it to the 2 right next to it you got three or you could always graph it.
Haseem was given the following enlargement.
6 cm
3 cm
5 cm
22.5 cm
Figures not drawn to scale.
What is the perimeter, in centimeters, of the enlarged triangle?
0 13.5
27
O 49.5
63
Answer: The answer is 63
Step-by-step explanation:
I’m sorry I don’t know how to explain but I got it right
Answer:
63
Step-by-step explanation:
Convert 2∘F to ∘C round to one decimal place
Answer:
-16.7
Step-by-step explanation:
(2°F − 32) × 5/9 = -16.7°C
Combine Like Terms. -13x + 14a - 12x + 7x - 4x *
Answer:
4a - 22x
Step-by-step explanation:
-13x +14a - 12x + 7x - 4x = 4a - 22x
hope this helps :)
please help .. i have toxic parents and they yell at me ... and i already have like 6 missing assignemnts soo can someone please answer these questions .
In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this?
2. Allison threw a baseball that traveled 145 feet in 2 ½ seconds. What was the average speed of the ball in feet per second?
3. Erica runs 4 ½ meters per second. At this speed, how many meters can she run in 45 seconds?
4. Roland’s remote control boat has a max speed of 25 miles per hour. How many miles can Roland’s boat travel in 1/3 of an hour?
5. Anna can walk 10 miles in 4 hours. At this rate, how many minutes does it take her to walk one mile
Answer:
1. 0.625 inch
2. 58 feet per second
3. 202.5 meters
4. 8.333 miles
5. 0.4 hour or 24 minutes
Step-by-step explanation:
^^^
Answer:
In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this? (.625 inches)
2. Allison threw a baseball that traveled 145 feet in 2 ½ seconds. What was the average speed of the ball in feet per second? (58 feet)
3. Erica runs 4 ½ meters per second. At this speed, how many meters can she run in 45 seconds? (202.5 meters)
4. Roland’s remote control boat has a max speed of 25 miles per hour. How many miles can Roland’s boat travel in 1/3 of an hour? (8.3 miles)
5. Anna can walk 10 miles in 4 hours. At this rate, how many minutes does it take her to walk one mile? (.0416)
Step-by-step explanation:
For #1.) 15 divided by 24 which equals 0.625
For #2.) divide 145 by 2.5
For #3.) time 4.5 by 45
For #4.) divide 25 by 3
For #5.) divide 10 by 4 then 2.5 by 60 to get .0416
Let z = 1 + 3i and w = -3 - 4i.
Use the drop down menus to complete the statements.
The sum z + w is equal to - -i
The sum w + z is equal to - 2 - i
The result supports that complex number addition is
Step-by-step explanation:
z+w= 1+3i-3-4i = -2-i
w+z=-3-4i+1+3i = -2-i
So, z+w = w+z
So, complex number addition is commutative
If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.
What is commutativity property of addition?We are aware that the addition's commutative property states that altering the addends' order will not affect the sum.
How to solve it ?Here z = 1 + 3i and w = -3 - 4i.
Now, z + w = 1 + 3i - 3 - 4i = 1 - 3 + 3i - 4i = - 2 - i
and w + z = - 3 - 4i + 1 + 3i = - 3 + 1 - 4i + 3i = - 2 - i
i.e. z + w = w + z
Clearly, the addition obeys the commutative property.
Therefore we can conclude that If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.
Learn more about the commutative property here -
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what is the coefficient of the term 12p in the expression 12p+9q
Answer:
12
Step-by-step explanation:
Answer:
The answer is 12,
Step-by-step explanation:
12 is the coefficient because it is the number multiplied by the variable p in the equation.
Can someone please explain how to do this? Iʻm not sure.
Henry buys a bag of 15 tangerines for $2.85.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Please help with this
Answer:
.19 cents per tangerine
Step-by-step explanation:
.19 x 15 = 2.85