The quadratic equations, or the equations that are quadratic in form, for this problem is given as follows:
6(2x + 4)² = 2x + 4 + 2.x^4 - 6x² - 27 = 0.6x^4 = -x² + 5.What is a quadratic equation?The degree of a function is given by the highest exponent that appears in the definition of the function.
A quadratic function is a function that has a degree of 2.
The standard format of a quadratic function is given as follows:
y = ax² + bx + c.
(in which the coefficient a must assume a value different of zero).
The quadratic function in this problem is given as follows:
6(2x + 4)² = 2x + 4 + 2.
As (2x + 4)² = 4x² + 16x + 16, meaning that the highest exponent would be of 2.
However, equations of the fourth degree can also be quadratic in form, as long as the exponents go as follows: 4, 2 and 0.
Hence these following equations are also quadratic in form:
x^4 - 6x² - 27 = 0.6x^4 = -x² + 5.They are classified as quadratic in form because a transformation such as y = x² can make them quadratic.
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Exercise 5.16.1: Coin flips and events. About A coin is flipped four times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 4 from {H, T}, such as HHTH. Assuming the coin is a fair coin, give the probability of each event. (a) The first and last flips come up heads. Solution (b) There are at least two consecutive flips that come up heads.
Answer:
[tex](a)\ Pr = 0.25[/tex]
[tex](b)\ Pr = 0.50[/tex]
Step-by-step explanation:
Given
[tex]Flips = 4[/tex]
First, we calculate the sample size;
The coin has two possible outcomes (i.e. head or tail) and the number of flips is 4.
So, the sample size (N) is:
[tex]N = 2^4[/tex]
[tex]N = 16[/tex]
Solving (a): Probability the outcome of the first and last flip is head.
The possible outcomes for this event are:
[tex]n = \{(HHHH), (HHTH), (HTHH),(HTTH)\}[/tex]
[tex]n(n) = 4[/tex]
The probability is:
[tex]Pr = \frac{n(n)}{N}[/tex]
[tex]Pr = \frac{4}{16}[/tex]
[tex]Pr = 0.25[/tex]
Solving (a): Probability that the outcome of at least 2 consecutive flips is head.
The possible outcomes for this event are:
[tex]n = \{(HHHH), (HHHT),(HHTH), (HTHH),(THHH),(TTHH),(HHTT), (THHT)\}[/tex]
[tex]n(n) = 8[/tex]
The probability is:
[tex]Pr = \frac{n(n)}{N}[/tex]
[tex]Pr = \frac{8}{16}[/tex]
[tex]Pr = 0.50[/tex]
Using traditional methods it takes 101 hours to receive an advanced driving license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher believes the new technique may reduce training time and decides to perform a hypothesis test. After performing the test on 280 students, the researcher decides to reject the null hypothesis at a 0.05 level of significance.
What is the conclusion?
a. There is sufficient evidence at the 0.02level of significance that the new technique reduces training time.
b. There is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time.
A pet store worker weighs each kitten to the
nearest 0.05 kilogram. This dot plot shows the
weights.
Weights of Kittens
1.2
1.3
1.4
Weight (kilograms)
3 How much more does the heaviest kitten
weigh than the lightest kitten?
A 0.3 kg
C 0.25 kg
B 0.5 kg
D 2.4 kg
Find the value of x.
log 3 X= 4
OA. 7
OB.
12
Oc.
27
OD
81
Answer:
OB
Step-by-step explanation:
when we multiple 4 by 3 because they are like terms they give us 12
There are two ways to go from Fujairah to Sharjah , and four ways to go from Sharjah to Dubai. How many different ways are there to go from Fujairah to Dubai, passing through Sharjah?
6
8
16
12
Answer:
8
Step-by-step explanation:
a group of students collected old newspapers for a recycling project. the data shows the mass, in kilograms, of old newspapers collected by each student.
23, 35, 87, 64, 101, 90, 45, 76, 105, 60, 55
98, 122, 49, 15, 57, 75, 120, 56, 88, 45, 100.
A.) Find the range of the mass of the newspapers collected.
B.) Find the interquartile range.
Answer:
A. 107 kg
B. 49 kg
Step-by-step explanation:
Use the diagram to complete the statements.
The measure of minor arc EF i
The measure of angle DAB is
35.5
.5
71
109
Answer:
EF is 109
DAB is 54.5
Step-by-step explanation:
Applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°What is the Central Angle Theorems?The central angle theorem states that:
Measure of intercepted arc = 1/2(measure of inscribed angle)Measure of central angle = measure of intercepted arcThus:
Measure of minor arc EF = m∠ECF = 109°
m∠DAB = 1/2(109°) [m∠ECF = m∠BAD = 109°]
m∠DAB = 54.5°
Therefore, applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°Learn more about central angle theorem on:
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Is b+b+b x c x c x c is a equivalent expressions?
A. True
B. False
Help last assignment for the semester
Answer:
b=2sqrt14
A=33.7°(rounded to nearest tenth)
B=56.3°
Step-by-step explanation:
Pythagorean theorem= sqrt(c^2-a^2)=sqrt(9^2-5^2)=2sqrt14
angleA= sin^-1(5/9)=33.7°
angleB=90°-33.7°= 56.7°
Hopefully that makes sense
Graph this function.
F(x)= -1/3x + 8
I need help ASAP! The -1/3x is a fraction. Can anyone help?
Step-by-step explanation:
Rewrite the function as an equation.
[tex]y = - \frac{x}{3} + 8[/tex]
Rewrite in slope-intercept form.
[tex]y = - \frac{1}{3} x + 8[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Slope : - 1/3
y-intercept: (0,8)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Graph the line using the slope and the y-intercept, or the points.
what type of function is shown on the table below
Answer:
x-fx-x*x
Step-by-step explanation:
At a school carnival, 51 out of 68 tickets sold were early-admission tickets. What percentage of the tickets were early-admission tickets?
Identify the following parts of an introductory paragraph in the order that they should appear.
First:
Second:
Third:
Answer Choises
hook, context, thesis
Have a nice day!
Answer:
1st-Hook
2nd- Thesis statement
3rd-context
Step-by-step explanation:
1- hook is to attract the reader, like a line to a song that is catchy! you want to draw the reader in!
2- Thesis statment
3- give context on the thesis statement! to further prove.
good luck
(4-i)(2+5i) simplify
Answer: 13+18i
Step-by-step explanation:
(4-i)(2+5i)
8+20i-2i-5(i)^2
as we know that i^2=-1
8+18i-5(-1)
8+18i+5
13+18i
Peter had 6 crayons. Mike gave Peter some more crayons. Then Peter had
13 crayons in all. How many crayons did Mike give Peter?
What type of problem is this, add to/take from: put together/take apart,
or compare? Type your response here.
Solve the problem in the space below.
Answer:
7
Step-by-step explanation:
13-6=7 compare maybe.....
Find all missing angles in the diagram
نيانا
The inequality
You earn $86,000 the first year you graduate from college with a master's degree in chemical engineering. If you should be saving 25% of your gross pay, how much should you save?
A. $21,500
B. $64,500
C. $18,300
D. $12,400
(a) select all the describe bd
Answer:
First - Perpendicular Bisector
Second - Angle Bisector
Fourth - Altitude
Step-by-step explanation:
It is not the median because it does not touch the base in the middle.
Erik has 5 blue marbles and 13 red marbles in a box. He randomly draws one out. Find P(Red) in fraction form.
Answer:
13/5
Step-by-step explanation:
The probability of (red) is the chance of drawing a red marble out of the red and blue marbles. As there are 13 red marbles and 5 blue marbles, the probability of drawing a red marble is 13 out of 5, or 13/5 in fraction form.
Your round-trip drive to work is 4 1. miles. How many miles do you drive to and from
work in 3 days?
7 3/10
12 3/10
12 9/10
8 3/5
what is the givien x-value that can used to make the prediction
Answer:
haha there is no question
Step-by-step explanation:
aww please check if there are more expect around to answer
Write the proportion.
8.5 hours is to 3.4 hours as
7.0 hours is to 2.8 hours?
Point B is located at _____.
(-3, 0) (3, 0) (0, 3) (0, -3)
Answer:
3, 0
Step-by-step explanation:
first number is on the horizontal line and the second number on the vertical line
Answer: (3, 0)
Step-by-step explanation: To get to point B from the origin, we move 3 units to the right and 0 units up or down so our point has the coordinates (3, 0).
Remember to always go left or right first, which represents x,
then up or down, which represents y.
At her new job, Laura is getting paid $18.35 per hour. If she is scheduled to work 12 hours on Saturday, how much will she earn?
Answer:
$220.2
Step-by-step explanation:
Multiply 18.35 to 12
Evaluate the expression for x = 2 and y = 4 . (x ^ 5 * y ^ 7) / (x ^ 3 * y ^ 5) numbers only
Answer:
Answer is 64.
Step-by-step explanation:
524288/8192 = 64
Look at the table below.
x y
3 1.8
5 3
7 4.2
9 5.4
11 6.6
Which of the following represents the constant of proportionality for the relationship shown in the table above?
A. 1.2
B. 0.7
C. 2
D. 0.6
A 3-column table with 4 rows titled 90-Day Forecast. Column 1 is labeled Weather Type with entries wind, rain, clouds, sunshine. Column 2 is labeled Predicted frequency with entries 9, 18, 27, 36. Column 3 is labeled Observed frequency with entries 12, 15, 33, 30.
The table shows the results of the experiment to determine the 90-day weather forecast. How does the experimental probability compare to the theoretical probability?
The theoretical probability for rain is 1/5. The experimental probability for rain is
.
The actual weather is
the theoretical probability.
1/6
approximately the same as
Answer:
✔1/6
✔ approximately the same as
Step-by-step explanation:
Here's proof
What is the area of △STU rounded to the nearest tenth?
Answer:
38.7 units²
Step-by-step explanation:
4.6/SV = SV/8.1
SV² = 37.26
SV = 6.1
area = 1/2(8.1)(6.1) + 1/2(4.6)(6.1) = 38.7 units²
Brainliest for correct answer
Answer:
A. 549.5
Step-by-step explanation: