Option D) f(x) = -3√x+5 is the cube root function is always decreasing as x increases
What is the Formula of Cube Root Function? f(x) = x is the formula for the fundamental (parent) cube root function. After transformations, it can alternatively take the form f(x) = a (bx - h) + k. Here, the transformations are denoted by the real numbers a, b, h, and k.The symbol "" designates the cube root. For instance, 8 Equals (2 + 2 + 2) = 2. Finding the cube root of a number is simple since 8 is a perfect cube number.You need to discover a number that, when multiplied twice by itself, equals the original number in order to get the cube root of a given integer. To get the cube root of 8, then, you need to identify the integer that, when multiplied by itself twice, equals 8. Therefore, since 2 2 2 = 8, the cube root of 8 is 2.Given data :
y = ³[tex]\sqrt{x}[/tex] is an increasing function as when the value of x increases the value of y increases
And when the value of x decreases , the value of y also decreases.
Now if we have (x+a) or (x-a) instead of x, the function shall have a horizontal shift.
So it shall either move left or right but shall not flip.
So
y = ³[tex]\sqrt{(x - 8)}[/tex] and y = ³[tex]\sqrt{(x - 5)}[/tex]
are increasing functions.
Only when x becomes -x, that the function shall flip & shall become a decreasing function.
But then it must be - (x-a) or -(x+a) inside.
So
y = ³[tex]\sqrt{-(5 - x)}[/tex] is also increasing
Only
y = ³[tex]-\sqrt{(x + 5)}[/tex] is a decreasing function.
Option D) is the right answer.
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27/3 TO A WHOLE
NUMBER
Answer:
9, after being converted to a mixed number
Step-by-step explanation:
Just divide 27 by 3, it’ll equal 9
yw :)
hope i helped, reach out if it’s wrong (it’s not lol)
Have a great day :3
Answer: 9
Step-by-step explanation:
since fraction means we divide the numerator by denominator, we divide 27 by 3
⇒27/3
⇒27 ÷ 3
⇒9 answer
hope that helps ...
A) y = -0.25x+ 98.75
B) y = -0.25x + 96.25
C) y = -0.75x + 96.25
D) y = -0.75x + 98.75
Answer:
i think its b
Step-by-step explanation:
Mr. Klimek made his wife a rectangular vegetable garden. The width is 5 3/4 ft, and the length is 9 4/5 ft. Mr. Klimek calculated his garden to be 15 11/20 square feet. Is Mr. Klimek correct with his calculations? If he is, what did he do to find his answer. If he is incorrect, what did he specifically do wrong, what is the correct answer? Show and Explain.
Answer:
He is wrong. The right answer is 56.35. Or 56 7/20
Step-by-step explanation:
So lets go over what we know.
The width is 5 3/4ft.
The length is 9 4/5 ft.
The square feet is l*w, otherwise known as area.
So in this, we multiply 5 3/4 by 9 4/5.
Before we multiply however, lets put this into decimal form. Its easier to think of it this way.
3/4, or 3 divided by 4, is 0.75 So 5 3/4 is actually 5.75
4/5, or 4 divided by 5, is 0.80. So 9 4/5 is actually 9.8
Now lets multiply:
5.75*9.8
This might seem a bit confusing, but here is a step by step way of how I multiplied:
5*9 is 45. 5 times 8 is 40. Move the decimal since we used 8 instead of .8 its now:
45 and 4.0
Which is 49.
Now lets multiply 9.8 by the 0.75
3/4ths of 9 is 6.75. 3/4 of 8 is 6. Again, move over the decimal since we used 8 instead of .8 its now:
6.75 and .6
This is 7.35
Add that to 49:
56.35
So this is your answer.
Now, this is not what Mr.Klimek got.
So he is wrong.
The real answer is 56.35
To find the fractional form of this, we can take the decimal 35 and put it over 100:
35/100
Then simplfy. In this case 5 goes into both numbers. So:
7/20
So we have 56 7/20.
Now, the final question, what did Mr.Klimek do wrong?
Well, he added his length and width, instead of multiplying.
We already know what our two numbers equal: 9.8 and 5.75.
Lets add these:
9 plus 5 is 14. 0.8+0.75 is 1.55.
14+1.55=15.55
Using the method of transfering fractions I spoke of above:
55/100
5 goes into both numbers:
11/20
So adding the lenght and width, we got 15 11/20. This is what Mr.Klimek did.
So to sum up each answer:
The answer is 56.35 or 56 7/20Mr.Klimek is incorrect.Mr.Klimek added the length and Width, instead of multiplying.Hope this helps! :D
Given that startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half, complete the statements to show that △abc ~ △def by the sas similarity theorem. horizontal and vertical lines are . so, angles are right angles by definition of perpendicular lines. all right angles are . therefore, △abc ~ △def by the sas similarity theorem.
Lines running horizontally and vertically are parallel. So, angles A, B, and C are right angles by definition of perpendicular lines. All right angles are equal. Therefore, △ABC ~ △DEF by the SAS similarity theorem.
Given that startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half
Step 1: Multiply both sides of the equation by de:
a/b * de = bc/ef * de
Step 2: Simplify the left side of the equation:
ade = bcde
Step 3: Divide both sides of the equation by ad:
a/d = b/e
Step 4: Multiply both sides of the equation by be:
ab/d = be/e
Step 5: Simplify the left side of the equation:
ab = be
Step 6: Divide both sides of the equation by be:
a/b = 1/e
Step 7: Multiply both sides of the equation by ef:
a/b * ef = 1/e * ef
Step 8: Simplify the left side of the equation:
aef = ef
Step 9: Divide both sides of the equation by ef:
a/b = 1/e
Conclusion: startfraction a b over d e endfraction = startfraction b c over e f endfraction = one-half
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Answer:
perpendicular
b and e
congruent
The radius $r$ of a circle inscribed within three mutually externally tangent circles of radii $a$, $b$ and $c$ is given by \[\frac{1}{r}
The formula yields the radius $r$ of a circle that is inscribed within three circles with radii $a$, $b$, and $c$ that are mutually external tangents.
[tex][\frac{1}{r} = \frac{1}{a} + \frac{1}{b} + \frac{1}{c}][/tex]
The radius of the inscribed circle is related to the radii of the three mutually externally tangent circles using a method known as the radical centre formula. According to this equation, the reciprocals of the radii of the three externally tangent circles add up to the radius of the circle that is inscribed.
The power of point theorem states that the product of the distance between the point and the three points of tangency is equal to the product of the distance between the point and the centres of the circles. This formula is based on the fact that the circles are mutually externally tangent and their centres are collinear. It is crucial to note that the formula can only be used if the circles are mutually externally tangent; otherwise, it is invalid.
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The hanger image below represents a balanced equation.
Write an equation to represent the image.
Are parallel algorithms always faster than sequential algorithms?
Answer:
Step-by-step explanation:
Parallel algorithms are not always faster than sequential algorithms. In general, the speed of an algorithm depends on a variety of factors, including the complexity of the algorithm, the hardware it is running on, and the specific problem it is trying to solve.
There are some cases where a parallel algorithm can be faster than a sequential algorithm. For example, if an algorithm can be easily divided into smaller subproblems that can be solved independently and then combined to get the final result, it may be possible to speed up the overall computation by using a parallel algorithm to solve the subproblems in parallel. This can be particularly effective if the subproblems are large and can be solved using multiple processor cores or distributed across multiple computers.
However, there are also cases where a sequential algorithm may be faster than a parallel algorithm. For example, if the problem is relatively small and can be solved efficiently using a single processor, it may not be worth the overhead of dividing the problem into smaller subproblems and coordinating their solution in parallel. In addition, some algorithms may be more difficult to parallelize, or may not lend themselves well to a parallel solution, in which case a sequential algorithm may be a better choice.
Overall, it is important to carefully consider the specific problem and available hardware when deciding whether to use a parallel or sequential algorithm.
a map drawn move to the scale 2 cm : 100 mi. on the map b is 3.5 centimeters from town a and town c is 2 centimeters past town b how many miles apart town a and town b
The distance between town a and b is 175 mi.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Given that, a map drawn move to the scale 2 cm : 100 mi. on the map town b is 3.5 centimeters from town a and town c is 2 centimeters past town b
Since, 2 cm = 100 mi
1 cm = 50 mi
Therefore, 3.5 cm = 50×3.5 = 175 mi
Hence, the distance between town a and b is 175 mi.
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MATH PLEASE HELP ME WITH THIS.
Answer:
#1 multiply
#2 divide
#3 subtract
#4 subtract
#5 divide
PICTURES BELOW!!! PLEASE HELP!! XTRA POINTS TO CORRECT ANSWER!!!
Which graph best represents the solution to the system of equations shown below? (5 points)
y = −2x + 14
y = 2x + 2
Answer:
The second graph
Step-by-step explanation:
take x = 3 for instance, we can see that on the graph both lines intersect on y = 8
if we try it with our equations:
-2 * 3 + 14 = 8
2 * 3 + 2 = 8
Hope thi helps, please give brainliest thanks
Your friend has read 6 more than twice as many pages as your
sister has read. Let 4
be the number of pages that your sister has
read. Write an expression for the number of pages that your friend
has read
Answer:
Expression: 2s + 6
# of Pages Friend Read: 14 pages
Step-by-step explanation:
Let's call the number of pages your sister has read, s, and the number of pages your friend has read, f. We will make our equation first. If your friend has read 6 more than twice as many pages as your sister has, your equation would look like this:
f = 2s + 6
That is your equation for how many pages your friend read, your expression would be just 2s + 6. Now, we will substitute in 4 for s, and we get:
f = 2 * 4 + 6
Multiplying gives:
f = 8 + 6 = 14
So your friend has read 14 pages.
Hope this helped!
Which linear equation shows a proportional relationship?
y equals two thirds times x
y equals negative 3 times x minus one seventh
y equals three fourths times x minus 5
y equals 3 times x plus 7
The linear equation that shows a proportional relationship is y equals two thirds times x.
A proportional relationship is a relationship between two variables in which one variable is a constant multiple of the other. In other words, if y is directly proportional to x, then y = kx for some constant k. This can also be written as y/x = k, where k is the constant of proportionality.
The linear equation that shows a proportional relationship is y = 2/3x.
It shows a direct relationship because the coefficient of x (2/3) is constant, and there is no constant term (y-intercept) which breaks the proportionality.
The other equations do not show a proportional relationship because they have a coefficient that varies with x or a constant term.
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How can you tell if a linear system has infinitely many solutions?
A linear system has infinite solutions if it consists of exactly the same equations.
The 3 possible solutions of a linear system are:
- Unique or one solution
- Infinite solutions
- No solution
- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.
Example:
3x + 2y = -4 ..... (equation 1)
6x = -4y - 8 ..... (equation 2)
Add 4y to both sides of equation 2:
6x + 4y = -8
Divide both sides by 3:
3x + 2y = -4
Hence, equation 2 is exactly the same as equation 1. If we plot their graphs, they will share the same graph. Any solution of equation 1 is also solution of equation 2. Therefore, this linear system has infinite solutions.
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Julie needs to buy some new pencils for school. Each pencil cost 0.39. If she has 5.00 dollars now, what is the maximum number of pencils she can purchase. There is no tax in this purchase.
Answer:
At max, Julie can buy 12 pencils. She will have 32 cents left.
Step-by-step explanation:
I did 0.39x10=3.90. Next, I did 0.30x13=5.07. I went down by one and ended up with 0.39x12=4.68.
Zasha spent $6 on packages of gum. How many more packages of gum that cost $1.20 each can she buy if she has a $20 bill?
Answer: Zasha spent $6 on packages of gum, which means that she bought 6 / $1.20 = 5 packages of gum.
If she has a $20 bill, she has $20 - $6 = $14 left to spend on gum.
Zasha can buy an additional 14 / $1.20 = 11.6666666666666666666666667 packages of gum with this money.
Rounded down, Zasha can buy an additional 11 packages of gum.
Therefore, Zasha can buy a total of 5 + 11 = 16 packages of gum.
Step-by-step explanation:
Find p(3,4 or 5)!!!! HELPPPPPPPP
Answer:
triangle) 1/2
Step-by-step explanation:
let me know if this is incorrect
How do you write 5.3 * 104 in standard form?
The rectangular prism has a volume ar 936 cubic inches Find the missing dimension of the prism
Find the least common denominator for the following fractions: 4/8 and 3/14
Answer:
Least Common Denominator for the following fraction is 2
Hope this helps, have a great day!
Answer:
the answer is 56 (pls think)
Help, what are the answers to these angles? This is due by the end of today.
Answer:
1. 128
2. 136
3. 128
4. 52
5. 44
6. 146
7. 84
8. 96
9. 96
10. 84
11. 128
12. 52
13. 44
14. 136
15. 52
16. 128
17. 136
18. 44
Step-by-step explanation:
Wastewater is filling barrels at the rate of 13 quarts per hour. The recycling facility picks up 96 full barrels on each trip, and each barrel holds 30 quarts of wastewater. How many days are between each pickup
If the recycling facility picks up 96 full barrels on each trip then there is 9 days gap between each pickup.
What is the recycling facility picks up?Recycling is the practice of reusing materials in existing products to create new ones. This can be accomplished in expected ways—such as using recycled paper as packaging material—or unexpected ways—such as using recycled glass to make artificial turf. Recycling helps to conserve limited resources, and—its proponents argue—it has other environmental benefits as well.
Since the recycling facility picks up 96 barrels on each trip
and each barrel contains 30 quarts of effluent.
Thus, the total volume of wastewater is 30 x 96, or 2880 quarts.
Each barrel is filled at a rate of 13 quarts per hour.
So 2880 quarts filled in hours.
We can now change 221.54 hours to days.
= 9.23 days
There are so 9 days in between pickups.
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2: Si je cours à 12 km/h, en combien de minutes est-ce que je parcours 1 km ?
Answer: cinq minutes
Step-by-step explanation: 1h est egalle à 60minutes. Alors I'll a couru 12km Dan's 60minute. La duration pour 1km sera 60÷12=5 minutes
(I NEED THIS RIGHT AWAY!) (PLS HELP) Lynette earns $5 by delivering newspapers. She saves $3 and she spends the rest. If she saved $27 one month, how much did she spend?
Answer:
$18
Step-by-step explanation:
To find how many times she has saved money, you would do 27/3=9. This means that she worked 9 times. Since she worked 9 times, she earned $45 in total. To find how much she saved you would do 45-27=$18
The histogram shows the ages of passengers riding in a tour van. How many passengers are under 45 years of age? Enter your answer as a number, like this: 42
Answer:
12
Step-by-step explanation:
3 + 4 + 5 = 12
which of the following is the solution set of the equation below:
Answer:
D
Step-by-step explanation:
i think you know this already but it's D!
Felix's dinner costs $16.49. Felix pays a $20 bill. About how much change did he receive? Show your work.
Answer: He received $3.51 in change.
Step-by-step explanation:
To get the answer we can subtract the amount Felix paid ($20) by the cost of the dinner ($16.49).
It will look like this:
$20.00 - $16.49 = $3.51
Answer:3 dollars and 51 cents
Step-by-step explanation:
Simplify to create an equivalent expression.
−2(−5n+6)+5(2−7n)
plz help UwU
Answer:
D -25n-2
zbsbbwjavabwbwhvwjqv17w7wfw ggv s zg
using multiple properties of exponents simplify the expression
2a^3b^-4/3a^5b^-2
2a³b⁻⁴/3a⁵b⁻² = 2/3(ab)²
What are exponents?The exponent of a number shows how many times the number is multiplied by itself.
Example: 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power."
In general, xⁿ means that x is multiplied by itself for n times.
Properties of exponents:
Law of Product: a ^m × a ^n = a ^(m + n)
Law of Quotient: a ^m/a ^n = a ^(m - n)
Law of Negative Exponent: a^-m = 1/a ^m
Law of Power of a Product: (ab)^m = a ^m . b ^m
Law of Power of a Quotient: (a/b) ^m = a ^m/b ^m
Given expression
2a³b⁻⁴/3a⁵b⁻²
= 2/3 . a³/a⁵ . b⁻⁴/b⁻²
Law of Negative Exponent: [tex]a^{-m} = 1/a^{m}[/tex]
= 2/3 . a³/a⁵ . b²/b⁴
Law of Quotient: [tex]a^{m} /a^{n} = a^{m-n}[/tex]
= 2/3 . a³⁻⁵ . b²⁻⁴
= 2/3 . a⁻² .b⁻²
Law of Power of a Product: [tex]a^{m} .b^{m}= (ab)^{m}[/tex]
= 2/3 . (ab)⁻²
Law of Negative Exponent: [tex]a^{-m} = 1/a^{m}[/tex]
= 2/3 . 1/(ab)²
= 2/3(ab)²
Hence the simplified expression of 2a³b⁻⁴/3a⁵b⁻² is 2/3(ab)².
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Answer the questions about the following polynomial.
8x³+6x-1
The expression represents a
term is
the leading term is
polynomial with
terms. The constant
, and the leading coefficient is
The expression represents a polynomial with three terms.
What is polynomial?A polynomial is an expression consisting of variables (often denoted by x, y, z, etc.) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Polynomials can be used to express a wide range of algebraic equations, from simple linear equations to more complex equations. Polynomials can also be used to construct functions with properties that are useful for solving real-world problems.
The expression represents a polynomial with three terms.
The constant term is -1, and the leading coefficient is 8. The leading term is 8x³.
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At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 5 48 22 Cold 8 12 5 If we choose a customer at random, what is the probability that his or her drink will be a medium?
Answer:
60%
Step-by-step explanation:
48 + 12 = 60
There is a 60% chance you randomly choose a medium out of 100 customers.