Answers
Answer:
B.
Step-by-step explanation:
Related Questions
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
Answers
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:
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.
Answers
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
Answers
Answer:
it is 16 to 32
Step-by-step explanation:
if you divided 16 by 8 and 32 by eighth you get 2:4
Plz answer 1st RIGHT gets BRAINLY!!!!! PLUS 10 POINTS!!!!
Answers
Answer: I think the answer is B.) 570
finding the slope
(-2,-2) , (11,-10)
Answers
y = 12/13x - 2/13, characters
Natalie was given a box of assorted chocolates for her birthday. Each night, Natalie treats herself to some chocolates. Let C represent the number of chocolates remaining in the box t days after Natalie's birthday. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
PLEASE HELP ME I NEED THE ANSWER NOW
Answers
Answer:
C= -5t+30
The slope of the function is -5 which reveals the number of chocolates Natalie eats each night.
Step-by-step explanation:
For the expression 5-5x to have a negative value, what must be true about the value of x?
Answers
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.
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
Answers
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 -
https://brainly.com/question/23736946
#SPJ2
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 .
Answers
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.
https://brainly.com/question/5932170
Convert 2∘F to ∘C round to one decimal place
Answers
Answer:
-16.7
Step-by-step explanation:
(2°F − 32) × 5/9 = -16.7°C
What is the slope of (-7,-1) and (3,8)? Pls show your work
Answers
Answer:
[tex]m=\frac{9}{10}[/tex]
Step-by-step explanation:
To find the slope between any two points, we can use the following slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (-7, -1) be (x₁, y₁) and let (3, 8) be (x₂, y₂). Substitute them into the slope formula:
[tex]m=\frac{8-(-1)}{3-(-7)}[/tex]
Evaluate:
[tex]m=\frac{9}{10}[/tex]
Therefore, the slope between the two points is 9/10.
PRE CALC QUESTION
For the following, find the function P defined by a polynomial of degree 3 with real coefficients that satisfy the given conditions.
The zeros are -3,-1, and 4. The leading coefficient is -5.
(type answer in standard form)
P(x)=
Answers
Answer:
-5[tex]x^{3}[/tex] + 65x + 60
Step-by-step explanation:Due today HELP PLEASEEEEE!!!
Answers
Answer:
Oiiiiio ka cha thik cha
There is triangle one of the angles is 101 degrees and the other is 38 workout x
Answers
Angle sum property = Sum of the three angles of a triangle will be equal to 180° .
Using this let us find out the measure of x .
Measure of first angle = 101°
Measure of second angle = 38°
Measure of third angle = x
[tex]101 + 38 + x = 180[/tex]
[tex]139 + x = 180[/tex]
[tex]x = 180 - 139[/tex]
[tex] = x = 41[/tex]
[tex]∴ \: the \: value \: of \: x \: = 41°[/tex]
|-9×+7|+8 is less than or equal to 9
Answers
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 :)
How is 5 represented in 6.75
Answers
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.
Lines A and CD (if shown) are straight lines. Find x. Give reasons to justify your solutions.
Please Write in a form like the table below.
Answers
Answer/Step-by-step explanation:
STATEMENT ====> REASONS
1. m<AOB = 180° ==> 1. Definition of straight angle
2. m<AOF + m<FOG + m<GOB = m<AOB ==> 2. Angle Addition Postulate
3. (5x - 15)° + 90° + 2x = 180° ==> 3. Substitution
4. Solve as algebra to get x
5x - 15 + 90 + 2x = 180
Collect like terms
5x + 2x - 15 + 90 = 180
7x + 75 = 180
Subtract 75 from both sides
7x + 75 - 75= 180 - 75
7x = 105
Divide both sides by 7
7x/7 = 105/7
x = 15 ===> 4. Algebra
If p = 5, q = 4, and r = 1, what is the value of p - r ?
a. 3
b. 4
c. 6
d. 1
Answers
We can replace p with 5 and r with 1, this will lead us with 5 - 1.
If p=5 and R= 1 then 5-1=4
what is the coefficient of the term 12p in the expression 12p+9q
Answers
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.
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."
Answers
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.
16,1,0,1,16 input x and output y -2,-1,0,1,2
Answers
Answer:
what is the question?
Step-by-step explanation:
2
10x2 - 724
100x2 + 140xy + 4972 10x + 7y
Answers
Answer:
14xy/(10x+7y)^
Step-by-step explanation:
Write an example that is not an integer
Answers
Answer:
1/2, 1/4 3/72, .50, .25, etc.
Step-by-step explanation:
An INTEGER is a whole number, positive or negative. A number that ISN'T an integer is a fraction or decimal.
if the airplane flew 40 miles, how many gallons of gas would be left in the tank
Answers
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!
Answers
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.
Answers
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.
Estimate the square root of the imperfect square of 18.
Answers
Answer:
18 times four is 72
Step-by-step explanation:
Combine Like Terms. -13x + 14a - 12x + 7x - 4x *
Answers
Answer:
4a - 22x
Step-by-step explanation:
-13x +14a - 12x + 7x - 4x = 4a - 22x
hope this helps :)
Find the value of the expression 2x^4–5x^3+x^2+3x+2 for: b x=−5
Answers
Just plug in -5 for x and that’s what you get
1.Find the product of 419 and 321.
Answers
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