Given function:-
f(x) = 2x6 – 2x2 – 5.In order to find the end behavior of the graph, we need to find the degree of the given function and the leading coefficent.Degree of the given function is the highest power of the variable.
We have variable x there.
Highest power of x is 6.So, we can say:
Degree = 6 ( an even degree)
And leading coefficent is the coefficent of highest power term.
We have highest power term is 2x^6.
So, the leading coefficent is : 2 (Positive number)
For even degree and positive leading coefficent, end behaviour is
x --> ∞ f(x) = +∞
x-->-∞ f(x) = +∞
which diagram below appears to show a pair of perpendicular lines Diagram A Diagram B Diagram C. Explain your Answer.
The answer for it is diagram B because it does not cross or have parallel lines
Sarah has 30 pencils. She wants to give her 5 friends the same amount of pencils. How many pencils does Sarah give each friend? (Write an equation and then solve.)
Answer:
6 pencils
Step-by-step explanation:
30/5=6
if (-2,27) lies on the graph of f, then f( )=_____.
\((\stackrel{x}{-2}~~,~~\stackrel{y}{27}) ~~ \textit{lies on }\textit{\LARGE f}\qquad \textit{so then}\qquad f(\stackrel{x}{-2})~~ = ~~\stackrel{y}{27}\)
Refer to the information below to answer Questions 9 and 10. Value of Property Up to K35 000 K35 000 to K70 000 K70 000 to K140 000 Over K140 000 10. Rate of Stamp Duty 2% 3% 4% 5% 9. Calculate the stamp duty payable on properties whose purchase price is K45 000. (1 mark) Answer: Calculate the stamp duty payable on properties whose purchase price is K150 000. (1 mark) Answer:
9. The stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.
To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.
Given:
Value of Property:
Up to K35,000: Stamp Duty Rate - 2%
K35,000 to K70,000: Stamp Duty Rate - 3%
K70,000 to K140,000: Stamp Duty Rate - 4%
Over K140,000: Stamp Duty Rate - 5%
9. Calculate the stamp duty payable on properties whose purchase price is K45,000:
Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K45,000 * 3%
= K45,000 * 0.03
= K1,350
Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. Calculate the stamp duty payable on properties whose purchase price is K150,000:
Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K150,000 * 5%
= K150,000 * 0.05
= K7,500
Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.
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Which number is a composite number? A.11 B.21 C.31 D.41
Answer:
21
Step-by-step explanation:
A prime number has only two factors: 1 and itself.
A composite number has more than two factors. The number 1 is neither prime nor composite.
Answer:
B. 21
Step-by-step explanation:
31 is the only number that can be made by multiplying another number other than 1 and itself.
1x21=21
3x7=21
all the other options only have 2 factors
Problem 1: The 30% discount on a 49$ dollhouse
problem 2: the 20%tip on a 8$ sandwich
problem 3: the total cost of a 112.75$ meal with a 20% tip
problem 4: the price paid for a 15$ shirt after q 45% discount is applied
Thanks
Answer:
1. $34.30
2. $9.60
3. $135.30
4. $8.25
Step-by-step explanation:
Answer:
1. $14.70
2. $1.60
3. $135.30
4. $8.25
Step-by-step explanation:
1. Convert percentage to decimal:
30% = 30/100 = 0.3
So 30% of $49 = 0.3 x 49 = 14.7
Therefore, a discount of 30% = a discount of $14.70
2. Convert percentage to decimal:
20% = 20/100 = 0.2
So 20% of $8 = 0.2 x 8 = 1.6
Therefore, the 20% tip = $1.60
3. Convert percentage to decimal:
20% = 20/100 = 0.2
So 20% of $112.75 = 0.2 x 112.75 = 22.55
Therefore, total cost with the tip = 112.75 + 22.55 = $135.3
4. If a discount of 45% is applied, the new cost of the shirt will be 55% of its original price (as 100% - 45% = 55%)
Convert percentage to decimal:
55% = 55/100 = 0.55
So 55% of $15 = 0.55 x 15 = 8.25
Please help me with this.
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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3
Which expression is closest in value to 5.66?
Let's consider the standard and usually used value of irrational numbers given in the question.
It is asked to see which is closed to 5.66So, let's see the options:
A) GiveN:
\( \dfrac{\pi}{2} + \pi\)
Let consider π = 3.14
\( \dfrac{3.14}{2} + 3.14\)
\(1.57 + 3.14\)
\(4.71 \: (approx.)\)
B) GiveN:
\(2\pi - 1\)
Here also, let's consider the value be 3.14
\(2 \times 3.14 - 1\)
\(6.28 - 1\)
\(5.28 \: (approx.)\)
C) GiveN:
\(4 \sqrt{2} \)
Let's consider the value of √2 be 1.414
\(4 \times 1.414\)
\(5.6516 \: (approx.)\)
D) GiveN:
\(8 - \sqrt{3} \)
Let's consider the value of √3 be 1.732
\(8 - 1.732\)
\(6.268 \: (approx.)\)
So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.
So, Correct answer is C
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Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 2, f '(1) = −1, g(1) = −2, and g'(1) = 3. Find h'(1). h(x) = (x2 + 8)g(x)
Answer:
\(h'(1) = 23\)
Step-by-step explanation:
Let be \(h(x) = (x^{2}+8)\cdot g(x)\), where \(r(x) = x^{2} + 8\). If both \(r(x)\) and \(g(x)\) are differentiable, then both are also continuous for all x. The derivative for the product of functions is obtained:
\(h'(x) = r'(x) \cdot g(x) + r(x) \cdot g'(x)\)
\(r'(x) = 2\cdot x\)
\(h'(x) = 2\cdot x \cdot g(x) + (x^{2}+8)\cdot g'(x)\)
Given that \(x = 1\), \(g (1) = -2\) and \(g'(1) = 3\), the derivative of \(h(x)\) evaluated in \(x = 1\) is:
\(h'(1) = 2\cdot (1) \cdot (-2) + (1^{2}+8)\cdot (3)\)
\(h'(1) = 23\)
Help me I wanna get this over with
Answer:
D
Step-by-step explanation:
Area is L×W
Perimeter is L+L+W+W
8.1 is 36% of what number
Let:
x = Number we want to find
Express 36% as a decimal:
36% = 36/100 = 0.36
Now:
\(\begin{gathered} x\cdot0.36=8.1 \\ \text{Solving for x:} \\ \text{Divide both sides by 0.36:} \\ x=\frac{8.1}{0.36}=22.5 \end{gathered}\)if f (1) =5 and f (n) = 5f (n-1) + 5 then find the value of f (3)
Using the given functions, the value of f(3) is 155
From the question, we are to determine the value of f(3) using the given function.
The given function is
f(n) = 5f(n-1) + 5
To determine the value of f(3),
First, we will determine the value of f(2)
From the given function
f(n) = 5f(n-1) + 5
We can find f(2) as shown below
f(2) = 5f(2-1) + 5
f(2) = 5f(1) + 5
From the given information,
f(1) = 5
∴ f(2) = 5(5) + 5
f(2) = 25 + 5
f(2) = 30
Now, we can determine f(3)
Also, from the given function
f(n) = 5f(n-1) + 5
Then,
f(3) = 5f(3-1) + 5
f(3) = 5f(2) + 5
Substituting the value of f(2) into the equation, we get
f(3) = 5(30) + 5
f(3) = 150 + 5
f(3) = 155
Hence, the value of f(3) is 155
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Demonstrate the deference types of equipment that can be used to introduce numeracy to young children
Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.
Here are some different types of equipment commonly used to introduce numeracy to young children:
Counting blocks: Colorful blocks that children can use to physically count and group numbers.Number rods: Wooden rods or bars of different lengths that help children understand number values and comparisons.Counting bears: Small bear-shaped counters that children can use for counting, sorting, and basic addition and subtraction.Number puzzles: Jigsaw puzzles or manipulative puzzles with numbers, helping children recognize and order numerals.Math storybooks: Books that incorporate mathematical concepts into stories, making math more relatable and enjoyable for children.Picture books with numeracy themes: Books that use illustrations and visuals to introduce and reinforce numeracy concepts.Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.
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100 POINTS PLEASE HELP WILL MARK BRAINLIEST
Answer:
When cash is received, it should be entered as a debit to the cash account, as the cash account is an asset account that reflects an increase in the company's assets. Therefore, the journal entry would be:
Date: Oct - 1
Account: Cash
Account Number: 1000
Debit: $8000
Credit: $0
Morgan born is paid $11.20 an hour for a 40-hour week.Her estimated benefits are 33% of her wages.What is value of her total yearly employee benefits?
Answer:
Как ты это делаешь
Step-by-step explanation:
Evaluate 2/3x -16 when x= 18
A.-6
B.-4
C.2
D.4
Answer: the answer is -4
Step-by-step explanation:
please help me with this question !
Answer:
y=1x+1 is your answer
Step-by-step explanation:
you find the slope and y-int
Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is between 36 and 43? Round your answer to the nearest tenth of a percent.
Answer:
\(P(36 < X < 43)\approx83.5\%\)
Step-by-step explanation:
Use a TI-84 to calculate the probability
\(P(\text{Lower} < X < \text{Upper})=\text{normalcdf}(\text{Lower},\text{Upper},\mu,\sigma)\\\\P(36 < X < 43)=\text{normalcdf}(36,43,38,2)\approx0.8351\approx83.5\%\)
What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?
o 4
8
80
200
Answer:
x = 200
Step-by-step explanation:
1/5x - 2/3y = 30 y = 15
1/5x - 2/3(15) = 30
1/5x - 10 = 30 | + 10
1/5x = 40 | * 5
200 = x
Consider these functions:
f(x) = x + 1
g(x)= 2/x
Answer:
its letter A.
\( \frac{2}{x + 1} \)
Write the following equation in polar form.
y=3
r=3sinθ
r=1/3sinθ
r=3cscθ
r=1/3cscθ
r=3cosθ
r=1/3cosθ
Answer:r=3cscθ
Step-by-step explanation:The equation y = 3 represents a horizontal line at a distance of 3 units above the x-axis in the Cartesian coordinate system. To convert this equation into polar form, we can use the fact that x = rcos(theta) and y = rsin(theta) in polar coordinates.
Since y = 3 for all values of x, we can say that r*sin(theta) = 3. Solving for r, we get:
r = 3/sin(theta)
This equation represents a family of circles with center at the origin and radius 3/sin(theta), for all values of theta except for multiples of pi. We can simplify this equation by using the identity sin(theta) = 1/csc(theta), giving us:
r = 3csc(theta)
Select all the triangles that have a
missing side length of 12 cm.
The triangles that have a missing side length of 12 cm are given as follows:
35 cm, 12 cm and 37 cm.16 cm, 12 cm and 20 cm.What is the Pythagorean Theorem?The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.
Hence the missing side length on the first triangle is given as follows:
60² + a² = 61²
a = square root(61² - 60²)
a = 11.
For the remaining triangles, the missing side lengths are given as follows:
a = square root(37² - 35²) = 12.a = square root(26² - 24²) = 10.a = square root(20² - 16²) = 12.More can be learned about the Pythagorean Theorem at brainly.com/question/30203256
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Abby owns a square plot of land. She knows that the area of the plot is between 2200 and 2400 square meters. Which of the following is a possible value for the side length of the plot of land.
The possible value of the side length of the plot of land that Abby owns, which is between 2200 and 2400 square meters is A. 48 meters.
What is the length?The length is the quantitative measurement of a distance from one point to another position.
Length can also refer to the size of an object that has width or/and height.
Data and Calculations:The square of 2,200m² = 46.9 meters (√2,200)
The square of 2,400m² = 48.99 meters (√2,400)
The square of the median value of 2,200m² and 2,400m², which is 2,300m² is 48 meters approximateluy.
Thus, the possible value of the side length of the plot of land is A. 48 meters.
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Question Completion with Answer Options:A. 48 meters
B. 46 meters
C. 44 meters
D. 50 meters
A shipping container is in the form of a right rectangular prism, with dimensions of
30 ft by 8 ft by 8 ft 9 inches. How many cubic feet of shipped goods would it hold
when it is full? Round your answer to the nearest tenth if necessary.
Answer:2,160ft
Step-by-step explanation: Volume=length * width * height
30x8x9=2160
Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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Please please please help me with this problem it’s so hard and I’ll give you a brain list
Answer:
It is Positive,Negative,Positive after solving each of them
The perimeter of the rectangle below is 112 units. Find the length of side BC.Write your answer without variables.4y+2 BC =
The perimeter of a rectangle is given by:
\(P=2L+2W\)Where L is the length and W is the width.
By replacing the given information we have:
\(112=2(5y)+2(4y+2)\)Now, we have to solve for y as follows:
\(\begin{gathered} \text{Apply the distributive property} \\ 112=10y+2\cdot4y+2\cdot2 \\ 112=10y+8y+4 \\ 112=18y+4 \\ 112-4=18y \\ 108=18y \\ y=\frac{108}{18} \\ y=6 \end{gathered}\)Replace the y-value into the BC side expression and solve:
\(\begin{gathered} BC=4y+2 \\ BC=4(6)+2 \\ BC=24+2 \\ BC=26 \end{gathered}\)I’ll mark you if you get the right answer and I have another problem so if you can find it pls help!
Answer:
D
Step-by-step explanation:
1/2 * 3/4 equals 0.375 which is less than .5
.5= 1/2
so therefore, im right i guess.
I need help this is due tonight!!!!!!!
The required graph is attached below.
Given that,
Quarterback Susie has a bad attitude and often gets fined for bad sportsmanship.
And the table of cost is given,
Cost of fine Number of fines
1 1
2 4
3 1
We know that,
A graph is a form of figure used to show accumulated data. This data might be quantitative or qualitative, which means that graphs can be utilized for a variety of purposes.
This is why there are numerous sorts of graphs, such as bar graphs, line graphs, area graphs, pictographs, and others.
To plot this data,
Label number 0, 1 , 2, 3, 4... on a number line
Which represents the cost of fine in thousands of dollars.
And plot the graph according to the given data.
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