Answer:
Step-by-step explanation:
the coefficients of this quadratic are -1, 4 and 4, and so the discriminant b^2 - 4ac works out to 16 - 4(-1)(4), or 0. Thus this graph has two real, equal roots which are the same point on the graph, the vertex, the maximum of the function.
Letting x = 0, we find that y is 4. Thus, the y-intercept is (0, 4). Plot this.
Using the formula x = -b / [2a], we find the axis of symmetry:
x = -4 / [2*(-1)] = -4 / [-2] = +2
The axis of symmetry is the vertical line x = 2.
At x = 2, y = -(2)^2 + 4(2) + 4, OR -4 + 8 + 4, or 0.
The vertex and maximum value are (2, 0). The graph touches the x-axis in only one place.
Draw the axis of symmetry x = 2. Plot the vertex (2, 0) and the y-intercept. Reflect the y-intercept about the axis of symmetry to obtain a second point on the graph at the same y-value as (0, 4).
31. A curious accountant at a large firm would like to know if moncy can buy happiness. She selects a random sample of 30 of her wealthy clients and contacted them to ask "On a scale of 1-100, how happy are you?" The resulting 95 percent confidence interval for the true mean happiness rating for all wealthy customers is (67.5, 89.5). Which of the following statements best summarizes the meaning of 95% confidence?
Answer:
(E) - About 95% of all random samples of 30 wealthy customers from this population would result in a 95 percent confidence interval that captures the population mean happiness rating.
Step-by-step explanation:
The correct answer is (E). When we select a random sample from a population and use it to construct a confidence interval, the confidence level tells us what proportion of all such random samples we can expect to give confidence intervals that will capture the population parameter.
What is the measure? Would appreciate any help!
Answer:
If I'm not wrong, angle O should be 62°!
Step-by-step explanation:
since triangle MON and triangle DAY are equal, if we add 75° and 43° it would be 118°. We then subtract 118° from 180° and it should be 62°. :)
Answer:
43
Step-by-step explanation:
measure angle M = measure angle D = 75
measure angle O = measure angle A = 43
measure angle N = measure angle Y = 180 - (43 + 75) = 62
and each angle of MON corresponds to that of DAY
how many 1/3 inch cubes does it take to fill a box with width 1 1/3 inches, length 1 1/3 inches, and height 1 2/3 inches?
The number of 1/3 inch cubes that will fill the box is 26.
Volume of an object.The volume of an object is the amount or quantity of substance that it would conveniently contain. Different objects has their method of determining their volume depending on their shapes.
Given a cube of length 1/3 inch. The volume of the cube can be determined as;
volume of a cube = length x width x height
The volume of the cube = 1/3 * 1/4 * 1/3
= 1/9 cube inches
The volume of the box can be determined as;
Volume of the box = length x width x height
= 1 1/3 * 1 1/3 * 1 2/3
= 2.963 cubic inches
Volume of the box = 2.963 cubic inches
The number of 1/3 inch cubes that will fill the box = 2.963/ (1/9)
= 26.667
The number of 1/3 inch cubes that will fill the box is 26.
Learn more about volume of an object at https://brainly.com/question/24772866
#SPJ1
How do you solve an inequality equation?
There are four fundamental types of inequality: less than ( < ), larger than( > ), less than or equal to ( ≤ ), and more than or equal to( ≥ ).
What is an inequality?The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.
The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.
Steps to solve the inequality:
First, get rid of all fractions by multiplying all terms by the fractions' lowest common denominator. (There is no difference when we multiply by a positive number.)Second, simplify the inequality by merging like words on either side. The sameThird To get the unknown on one side and the numbers on the other, add or subtract the appropriate amounts. The sameFourth, multiply each term in the inequality by the unknown coefficient. The inequality will not change if the coefficient is positive. Inequality will also be reversed if a negative coefficient exists. The crucial distinction between equations and inequalities is this.To know more about inequalities refer to:
brainly.com/question/24372553
#SPJ1
HELP ASAP WILL MARK BRAINLIEST PART 2
Answer:
6) 2nd option
7) 1st option
8) [tex]\sqrt{576} = 24[/tex] in
Answer:
Q6. A = s²
Q7. s = √A
Q8. 24 inches
Step-by-step explanation:
Q8.
√576 = 24in.
If A = 5 units, then what is the volume of the cube shown above?
Answer:
125 square units
Step-by-step explanation:
YYWW :)
If p is inversely proportional to the square of q and p is 3 when he was 12 determine p when q is equal to 3
Answer:
p = 48
Step-by-step explanation:
If p is inversely proportional to the square of q
This is written Mathematically as:
p ∝ 1/q²
p = k × 1/q²
p = k/q²
Cross Multiply
k = pq²
k = Constant of Proportionality
Step 1
We find k
When p is 3 when q was 12
k = pq²
k = 3 × 12²
k = 432
Step 3
determine p when q is equal to 3
p = k/q²
p = 432/3²
p = 48
Help please yes ok lol
a. The ratio of rows of corn to beans is 13 : 12 or 13/12 or 13 to 12.
b. The ratio of rows of lettuce to the total number of rows in the garden is 5 : 52 or 5 to 52 or 5/52.
a. The ratio using the word 'to' is corn to beans.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
We know a ratio between a and b can be written as a : b, a/b or a to b.
From the given information the ratio of rows of corn to beans is,
corn/beans = 13/12 Or 13 : 12 Or 13 to 12.
The ratio of rows of lettuce to the total number of rows in the garden is,
lettuce/total number of rows in the garden = 5/52 Or 5 : 52 Or 5 to 52.
The ratio using the word 'to' is corn to beans.
learn more about proportion here :
https://brainly.com/question/7096655
#SPJ1
A coach formed teams of 8 from all the players in a soccer league. There are 14 teams. How many players are in the league?
Answer:
112
Step-by-step explanation:
8 players time 14 teams = 112
8*14=112
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
I need help it’s my final!
Evaluate the expression when x=3
, y=−4
, and z=−6
.
z−2xy=
z
−
2
x
y
=
The evaluation of the expression z − 2xy when x = 3, y = -4 and z = -6 is 18
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: z − 2xy
Values: x = 3, y = -4 and z = -6
Substitute the known values in the above equation, so, we have the following representation
z − 2xy = -6 - 2 * 3 * -4
Evaluate the products
This gives
z − 2xy = -6 + 24
Evaluate the like terms in the equation
So, we have the following representation
z − 2xy = 18
Using the above as a guide, we have the following:
The solution is 18
Read more about equation at
brainly.com/question/2476251
#SPJ1
a. 96°
b. 132°
c. 137°
d. 89°
Answer:
b. 132°
Step-by-step explanation:
(a) 26 is what percent of 40? 65% (b) 85% of 80 is what number?
tara is trying to solve the following equation 4.5x-4=14
Answer:
[tex]4.5x - 4 = 14 \\ 4.5x = 14 + 4 \\ 4.5x = 18 \\ x = \frac{18}{4.5} \\ x = 4[/tex]
Answer: x=4
Step-by-step explanation: 4.5x-4=14
4.5x−4+4=14+4
4.5x/4.5=18/4.5
x=4
Find the missing length of the triangle. a= ? b=4 c=12 1/3
Answer:
a = 12.93
Step-by-step explanation:
Convert to decimal: 12 1/3 = 12.3
Pythagoras (a^2 = b^2 + c^2):
4^2 = 16
12.3^2 = 151.29
16+151.29 = 167.29
a = √167.29
a = 12.93 (rounded to two decimal places)
The solution is :
the missing length of the triangle is a = 12.93.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
here, we have,
Convert to decimal: 12 1/3 = 12.3
so, we have,
Pythagoras (a^2 = b^2 + c^2):
4^2 = 16
12.3^2 = 151.29
16+151.29 = 167.29
a = √167.29
we get,
a = 12.93 (rounded to two decimal places)
Hence, the missing length of the triangle is a = 12.93.
To learn more on Pythagorean theorem click:
brainly.com/question/24302120
#SPJ2
A board is 85 inches long. How long is it in feet and inches?
Answer: 7.083
Step-by-step explanation: all you have to do is divide 85 by 12 since there are 12 inches in one foot :)
Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 3 inches. The height of each triangle attached to the square is 6 inches. The base of the triangle is the side of the square. What is the surface area of the solid? (1 point) a 18 square inches b 27 square inches c 36 square inches d 45 square inches
The correct option regarding the surface area of the solid is given as follows:
d. 45 square inches.
How to calculate the surface area?The surface area of a solid is composed by the sum of the areas of all the pars of the figure.
The composition of the figure in this problem is given as follows:
4 triangles of base 3 and height 6.One square of side length 3.Thea area of a triangle is given by half the multiplication of the base by the height, hence the area of the four triangles in this problem is given as follows:
At = 4 x 1/2 x 3 x 6
At = 36 square inches.
The area of a square is given by the square of the side length, hence:
As = 3³
As = 9 square inches.
Thus the surface area of the solid in this problem is given as follows:
S = At + As
S = 36 + 9
S = 45 square inches.
Meaning that option d is correct.
More can be learned about surface area at https://brainly.com/question/16519513
#SPJ1
please help me out will give brainliest
Answer:
I think it would be 10 inches but I am not sure
8
In the expression (3) (0.2)³(0.8)5, which value
represents the number of successes?
0.8
C. 0.8 D. (0.8)5
A. 8/3 B. 0.2 C.
Answer: In the expression (3)(0.2)³(0.8)5, the value that represents the number of successes is 0.8.
This value is associated with the probability of success in the given expression, usually represented as "p" in a binomial distribution.
0.8 is probability of success
(0.8)5 represents number of successes.
It is important to note that 0.8 is a probability of success which means the probability of getting a success outcome in a single trial, and (0.8)5 is the probability of getting five successful outcomes in five trials.
Step-by-step explanation:
A teacher writes the inequality x divided 6 < 12 on the board. A student solves the inequality and gets the result x < 2. What is the correct result?, What is the student's error?
Answer:
x = 1
Step-by-step explanation:
How do you call 2 angles with the sum of 90?
The two angles that have the sum of angles as 90° are called as Complementary Angles .
What are Complementary Angles ?
The two angles are said to be complimentary Angles when the sum of two angles is 90° .
In other words, we can say that if the measure of two angles add up to form a right angle, then these angles are called as Complementary Angles. We can also say that the two angles complement each other.
For Example : the angles having the measure of 30 degree and 60 degree can be called as Complimentary as their sum adds up to 90 degree .
Learn more about Complimentary Angles here
https://brainly.com/question/1425570
#SPJ4
Need help #’s 18-24 show work and answers please
Answer:
hope this helps you out good luck
One of the legs of a right triangle measures 3 cm and its hypotenuse measures 6 cm. Find the measure of the other leg
Answer: 27
Step-by-step explanation:
question in in the image
Answer:
Step-by-step explanation: The answer will be D isolate the variable x by dividing by the factors.
The sum of two integers is 10. Their difference is 4. What are the two integers?
A) -3 and 1
B) -3 and 13
C) 3 and 7
D) -1 and 3
Answer:
The answer is 3 and 7.
Step-by-step explanation:
where would you put the decimal point in 201 x 15 to make it equal 30.15
201 x 15 = 30.15
Answer:
2.01 x 15 = 30.15
Step-by-step explanation:
2.01 x 15 = 30.15
or
201 * .15 = 30.15
Answer:
201 changes to 2.01 or 15 changes to 0.15
2.01 · 15 = 30.15
201 · 0.15 = 30.15
Step-by-step explanation:
Since 201 · 15 = 3015, and we want 30.15
We move the decimal two place to the left.
Since we did this on one side of the equation, we must do it on the other as well.
201 becomes 2.01. You could also change 15
15 becomes 0.15
Math help quick guys where ya at
The required dimensions are solved using linear pair and vertical angle to get the result as
x = 40y = 35Angle AED = angle CEB = 125 degreesAngle DEB = Angle AEC = 55 degreesHow to find the value of x and yThe value of x and y is calculated using linear pair theorem, the theorem implies that
solving for x
(3x + 5) + (x + 15) = 180
3x + x + 5 + 15 = 180
collecting like terms
4x = 180 - 15 - 5
4x = 160
x = 40
solving for y
(y + 20) + (4y - 15) = 180
y + 4y + 20 - 15 = 180
collecting like terms
5y = 180 - 20 + 15
5y = 175
y = 35
Angle AED
= 3x + 5
= 3 * 40 + 5
= 125 degrees
Angle AED = angle CEB = 125 degrees (vertical angles)
Angle DEB
= x + 15
= 40 + 15
= 55 degrees
Angle DEB = Angle AEC = 55 degrees (vertical angles)
Learn more about angles here:
https://brainly.com/question/29349045
#SPJ1
How do you solve a 3 sided triangle?
It is impossible to solve a 3-sided triangle because triangles require 3 sides and 3 angles in order to be solved.
A triangle is a three-sided polygon, and the sum of its angles is always 180 degrees. In order to solve a triangle, you must know the length of all three sides and the measure of all three angles. If you know two sides and the angle between them (the angle opposite to one of the sides), you can use the Law of Sines to determine the other angle. If you know two angles and a side, you can use the Law of Cosines to determine the other two sides. With all three sides and angles known, you can use the Pythagorean Theorem to check your work. However, if you only have three sides, it is impossible to solve the triangle because you do not have enough information.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ4
Describe and explain the possible values of s, the number of student tickets sold, and e, the number of tickets sold to nonstudents.
Answer:
(20,0) , (0,16) , (5,12) , (10,8) , (15,4)
Step-by-step explanation:
Total amount of tickets sold = 80
Per ticket price for students = 4 ; Per ticket price for non students = 5
Let no. of students be s , no. of non students be x
Equation : 4s + 5x = 80
So, Maximum number of student tickets sold (assuming all student, no 'non student' tickets) = 80 / 4 = 20
Maximum number of non student tickets sold (assuming all 'non student', no 'student' tickets) = 80 / 5 = 16
Other possible values {s,x} , as per equation = (5,12) , (10,8) , (15,4)
NEED HELP ASAP MAKE IT NEAT AND NOT TOO LONG!!!!
Use the function f(x) = 2x^2 − 3x − 5 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)
Answer:
Step-by-step explanation:
A
(2x - 5)(x + 1)
B)
The x intrcepts occur when the factors equal zero.
2x - 5 = 0
2x = 5
x = 5/2
x = 2 1/2
C
I will give the the minimum from completing the square
y = 2(x - 0.75)^2 - 6.125
as x approaches + infinity, y approaches + infinity.
as x approaches - infinity, y approaches + infinity.
It's a quadratic. The y values go to plus infinity, when x goes from - infinity to + infinity.
D
Desmos is the most useful tool for this part of the question. What it shows is the two roots and the minimum at (0.75,-6.125. A parabola does what the end behavior describes. The roots are clearly labeled as is the minimum.