The function that is even is f(x) = 6x² - 8.
option C.
What is an even function?An even function is a function that satisfies the condition f(-x) = f(x) for all values of x in its domain. In other words, an even function is symmetric with respect to the y-axis.
The function that is even is calculated as follows;
f(x) = 5x² - x
f(-x) = 5(-x)² - (-x)
f(-x) = 5x² + x
f(x) ≠ f(-x)
f(x) = 3x³ + x
f(-x) = 3(-x)³ + (-x)
f(-x) = -3x³ - x
f(x) ≠ f(-x)
f(x) = 6x² - 8
f(-x) = 6(-x)² - 8
f(-x) = 6x² - 8
so f(x) = f(-x), this function is even.
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Which set of ordered pairs does not represent a function?
\{(-2, 5), (0, -9), (8, -2), (7, 4)\}{(−2,5),(0,−9),(8,−2),(7,4)}
\{(-3, 4), (-5, 4), (7, -3), (2, -9)\}{(−3,4),(−5,4),(7,−3),(2,−9)}
\{(2, -9), (-5, -1), (-6, -3), (-5, 7)\}{(2,−9),(−5,−1),(−6,−3),(−5,7)}
Answer:
the bottom one or d if the x-inputs are the same then the ordered pairs are not a function but if the y values are the same the and the x values aren't it is still a function
Step-by-step explanation:
think of it like a vending machine x values are the buttons amd the y values are the soda or camdy you would get
20% of what numbner is 100
Answer:
The number is 500.
Step-by-step explanation:
Let n be the number
Convert percent to decimal
20% = 0.20
0.20n = 100
Divide both sides of the equation by 0.20
0.20n/0.20 = 100/0.20
n = 500
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
Twice the difference of 1 and a number.
Answer:
2(1 - x)
Step-by-step explanation:
Twice the difference of 1 and a number
a number = x
The difference of 1 and a number is expressed as :
1 - x
Twice this difference, means the difference of (1-x) multiplied by 2
2 * (1 - x) = 2(1 - x)
Help me, please!!!!!!!!!
Answer: D, 3x+12
Step-by-step explanation: Distributing a number means that you have to multiply the number by all of the numbers inside the parentheses. 3*x is 3x, and 3*4 is 12. 3x+12 is 3x+12.
Given that 8 tan = 3 cos
a) Show that the above equation can be rewritten in the form 3 sin2 + 8 sin − 3 = 0
b) Hence solve, for 0 ≤ ≤ 90, the equation 8 tan 2 = 3 cos 2, giving your answers to 2 decimal places.
The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.
a) We are given the equation 8 tan θ = 3 cos θ.
Dividing both sides of the equation by cos θ, we have:
8 tan θ / cos θ = 3
Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:
8 (sin θ / cos θ) / cos θ = 3
Simplifying further, we get:
8 sin θ / cos^2 θ = 3
Now, multiplying both sides of the equation by cos^2 θ, we have:
8 sin θ = 3 cos^2 θ
Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:
8 sin θ = 3(1 - sin^2 θ)
Expanding the equation, we get:
8 sin θ = 3 - 3 sin^2 θ
Rearranging the terms, we have:
3 sin^2 θ + 8 sin θ - 3 = 0
Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.
b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.
To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.
In this case, the equation factors as:
(3 sin θ - 1)(sin θ + 3) = 0
Setting each factor equal to zero, we have two equations:
3 sin θ - 1 = 0 or sin θ + 3 = 0
For the first equation, solving for sin θ, we get:
3 sin θ = 1
sin θ = 1/3
Taking the inverse sine (sin^-1) of both sides, we find:
θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)
For the second equation, solving for sin θ, we have:
sin θ = -3
Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).
Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.
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solve the equation -16=a- 19
Answer:
a = 3
Step-by-step explanation:
Collect like-terms:
\( - 16 = a - 19\)
\(a = - 16 + 19\)
\(a = 3\)
Answer: 3
Step-by-step explanation: you take 19 from 3 giving you -16
.......... do it now? Can't I do it later?
a) I've to
b) Have I
c) Do I have to
d) Should I
Answer:
d
Step-by-step explanation:
You are asking a question trying to suggest whether it can be done later
cos 2x= ___. Check all that apply.
A. sin² x - cos²x
B. 1-2 cos²x
C. 1-2 sin² x
D. 2 cos²x - 1
Answer:
C and D
Step-by-step explanation:
\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)
What is the GCF of the polynomial given below?
60ax - 40ay + 50az
Answer: 10a, all of the numbers can be divided by 10a
10a (6x − 4y + 5z) = 60ax - 40ay + 50az
What is the area of 30x40 rectangle in square units
Answer:
Multiply the two numbers
Step-by-step explanation:
1200 \(units^{2}\)
Answer:
1,200 square units
Step-by-step explanation:
Because 30 x 40 equals 1,200.
Six students write an exam. The average score obtained on the exam by the group of students is 71%. If the first two students each obtained a mark of 73%, while the next three students each obtained a mark of 68%, what was the mark obtained by the sixth student?
PLEASE ANSWER AND HELP
Anissa plans to save for a pir of
headphones that are $85.00. The sales
tax rate is 8%. How much will Anissa
need to save?
The school hiking club has completed 4 out of 5 hikes so far this year. They have hiked 4.6 miles, 3.7 miles, 5.1 miles, and 2.9 miles. If their goal is to hike 20 total miles, how many miles does the last hike need to be?
1.7 miles
4.7 miles
2.7 miles
3.7 miles
Answer:
there last hike i think needs to be 7.2 miles long
Step-by-step explanation:
The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
Please help! Correct answer only, please! Determine the value of the following if it is possible. If it is not possible, explain. A. B. C. D. The dimensions of the matrices don't align properly to find their sum.
Answer: A
Step-by-step explanation:
Addition and subtraction of matrices is very simple - just add (or subtract) the values of each matrix that have the same designation.
\(\left[\begin{array}{c}a\\b\end{array}\right] +\left[\begin{array}{c}d\\e\end{array}\right]-\left[\begin{array}{c}g\\h\end{array}\right]=\left[\begin{array}{c}a+d-g\\b+e-h\end{array}\right]\\\\\\\\\left[\begin{array}{c}8\\5\end{array}\right]+\left[\begin{array}{c}-3\\8\end{array}\right]-\left[\begin{array}{c}-2 \\1\end{array}\right]=\left[\begin{array}{c}8+(-3)-(-2)\\5+8-1\end{array}\right]=\left[\begin{array}{c}7\\12\end{array}\right]\)
A piece of lumber 2.8 meters long weighs 24.5 kilograms. A piece 0.8 meter long is cut from
the 2.8-meter length. Determine the weight of the 0.8-meter piece.
The weight of the 0.8-meter piece is 19.6 kilograms.
We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.
Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:
W₁/2.8m = 24.5kg/1m
Solving for W₁, we get:
W₁ = (24.5kg/1m) x 2.8m = 68.6kg
Now we can use the same ratio to find W₂:
W₂/0.8m = 24.5kg/1m
Solving for W₂, we get:
W₂ = (24.5kg/1m) x 0.8m = 19.6kg
Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.
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Add or write the fraction or mixed number in its simplest form
2/5 + 1/4 + 7/10
enter an inequality that represents the graph
PLEASE HELP QILL GIVE BRAINLIEST
a. Will he be able to make a right triangle with his fence? Why or why not?
Joel be not able to make a right triangle with his fence because the given dimensions are not satisfying for Pythagoras theorem.
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Dimensions of triangle he has to use for fencing are
15 feet, 8 feet, and 20 feet.
For making it a right triangle it must satisfy the "Pythagoras theorem" which states that
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
H²=B²+P²
20²=15²+18²
400=225+64
400≠289
No, it will not be able to make a right triangle.
Hence, Joel will be not able to make a right triangle with his fence because the given dimensions are not satisfying for pythagoras theorem.
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The complete question is given below:
Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.
1. Will he be able to make a right triangle out of his fence? Why or why not?
Record Examination) are normally distributed with a mean of 555 and a standard
deviation of 110. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score below 335.
The percentage of people taking the test who score below 335 is
Answer:
2.5%
Step-by-step explanation:
You want the percentage below 335 if the distribution is normal with a mean of 555 and a standard deviation of 110, using the empirical rule.
Z scoreThe z-score of 335 is ...
Z = (X -µ)/σ
Z = (335 -555)/110 = -220/110 = -2
DistributionThe empirical rule tells you that 95% of the distribution is between Z = -2 and Z = 2. That is, 5% of the distribution is evenly split between the tails Z < -2 and Z > 2. Half that value is in each tail.
P(X < 335) = 5%/2 = 2.5%
The percentage of people taking the test who score below 335 is 2.5%.
<95141404393>
Solve for the unknown. q- 5/6=1 5/6
Answer:
q=8/3
Step-by-step explanation:
First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.
Answer:
\(q=2\frac{2}{3}\)
Step-by-step explanation:
The given equation consists of a fraction and a mixed number.
First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:
\(q-\dfrac{5}{6}=1 \frac{5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{11}{6}\)
Now, add 5/6 to both sides of the equation to isolate q:
\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)
\(q=\dfrac{11}{6}+\dfrac{5}{6}\)
As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:
\(q=\dfrac{11+5}{6}\)
\(q=\dfrac{16}{6}\)
Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).
The GCF of 16 and 6 is 2, therefore:
\(q=\dfrac{16\div 2}{6 \div 2}\)
\(q=\dfrac{8}{3}\)
Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:
\(q=2 \; \textsf{remainder}\;2\)
The mixed number answer is the whole number and the remainder divided by the denominator:
\(q=2\frac{2}{3}\)
a student claims that a neutral atom has 6 protons and 7 electrons what mistake is the student making
Answer:
A proton needs two electrons to operate. Just like if an electron needed nutrons.
Step-by-step explanation:
Which choices are equivalent to the expression below
Answer:
b and c for future help look up and equivalent calculator
(5n²+7)+(-2n-4). Add
Answer:
Step-by-step explanation: Refer to attachment.
How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
TRUE OR FALSE a survey of high school students was conducted to see if students who take advanced classes are offered more scholarship money than students who do not take advanced classes.
True, a survey of high school students was conducted to see if students who take advanced classes are offered more scholarship money than students who do not take advanced classes.
Science is used in statistics to gather and arrange data into patterns or trends. A statistical research collects data about a population or group of people and attempts to generalize the findings for use by different people.
The observational study is one type of statistical study. These studies frequently occur early in a given area of health study since they may swiftly and affordably gather a lot of general information about a community.
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A Ferris wheel can accommodate 54 people in 25 minutes. How many people can it accommodate in 2 hours?
Answer:
270.
First, you need to figure out how many times 24 goes into 120 (120 being the number of minutes in a 2 hour period). When you divide 120 by 24, you get 5.
Next, multiply the number of people (54) by the number of minutes (5) to discover that the Ferris wheel can accommodate 270 people in 2 hours.
Step-by-step explanation:
Johns snowmobile weighs 0.3 tons. Mikes snowmobile weighs 500 pounds. What is the difference in the weights of the two vehicles in pounds?”
Since the Johns snowmobile weighs 600 pounds, the weight difference between the two vehicles is 100 pounds.
what is proportionality ?The term "proportionate" refers to relationships that always have the same ratio. For instance, the average number of apples per tree influences how many trees there are in an orchard and how many fruits there are in a harvest of apples. A linear relationship between two numbers or variables is referred to in mathematics as being proportionate. In the same way as the first quantity doubles, so does the other. The other decreases as well when one of the variables is reduced to 1/100th of its previous value.
When two quantities are proportional, it means that when one rises, the other rises as well and that the ratio between the two quantities is constant at all values. As an example, consider a circle's diameter and circumference.
given
2000 pounds make up a ton.
Snowmobile owned by John weighs 600 pounds or 0.3 tons.
The difference between Mike's snowmobile's 500 and 600 pound weights is 100 pounds.
= 600 - 500 = 100 pounds
Since the Johns snowmobile weighs 600 pounds, the weight difference between the two vehicles is 100 pounds.
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use the binomial expansion
(a+b)⁴ = a⁴+4a³b+6a²b²+4ab³+b⁴ to expand and simplify (x-3)⁴
Answer:
\(x^4-12x^3+54x^2-108x+81\)
Step-by-step explanation:
We have been given the following binomial expansion for (a + b)⁴:
\(\boxed{(a+b)^4=a^4+4a^3b+6a^2b^2+4ab^3+b^4}\)
To use this to expand and simplify (x - 3)⁴, first identity the values of a and b:
a = xb = -3Substitute the values of a and b into the expansion, and simplify:
\(\begin{aligned}(x-3)^4&=x^4+4x^3(-3)+6x^2(-3)^2+4x(-3)^3+(-3)^4\\\\&=x^4+4x^3(-3)+6x^2(9)+4x(-27)+81\\\\&=x^4-12x^3+54x^2-108x+81\end{aligned}\)