Answer:
[tex]f(x)=\sqrt[3]{x-2} +1[/tex]
Step-by-step explanation:
Given function for graph: [tex]f(x)=1\sqrt[3]{x-h} +k[/tex]
where (h, k) is the midpoint of the curve.
Therefore, the parent function is [tex]f(x)=\sqrt[3]{x}[/tex]
[tex]f(x)=1\sqrt[3]{x-h} +k[/tex] can be obtained by translating [tex]f(x)=\sqrt[3]{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up
The x and y intercept of [tex]f(x)=\sqrt[3]{x}[/tex] is the origin
Therefore, this graph has been translated 2 units to the right and 1 unit up.
Therefore, [tex]h=2[/tex] and [tex]k=1[/tex]
Substituting these values into the given function:
[tex]\implies f(x)=\sqrt[3]{x-2} +1[/tex]
of the 64 students in grade five, 3/8 of them either walk or ride a bike to school. the rest take a bus. how many fifth graders take a bus to school?
Answer:
24
Step-by-step explanation:
I did this question before.
simplify the following variable expressions
[tex] \qquad \qquad \sf \: \huge Answer♨[/tex]
Let's simplify ~
Expression 1[tex]\qquad \sf \dashrightarrow \:2x + 5 + x - 6 + 3x[/tex]
[tex]\qquad \sf \dashrightarrow \:(2x + x + 3x) + (5 - 6)[/tex]
[tex]\qquad \sf \dashrightarrow \:6x + ( - 1)[/tex]
[tex]\qquad \sf \dashrightarrow \:6x - 1[/tex]
Expression 2[tex]\qquad \sf \dashrightarrow \:x - 8 + x - 5 + x + 1[/tex]
[tex]\qquad \sf \dashrightarrow \:(x + x + x) + ( - 8 + ( - 5) + 1)[/tex]
[tex]\qquad \sf \dashrightarrow \:3x + ( - 12)[/tex]
[tex]\qquad \sf \dashrightarrow \:3x - 12[/tex]
please help this question is hard (25 POINTS!!)
An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die 1,die 2).
1 2 3 4 5 6
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
What is the probability of rolling 2 even numbers?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
1/9
Step-by-step explanation:
Sum = 4: (1,3) (2,2) (3,1)
Sum = 12: (6,6)
4/36 = 1/9 or 0.111
hope that helps
Please help asap i will give brainlist!!!!
Answer:
The answer is D
Step-by-step explanation:
This is because 5π is equal to 15.7
15. If y varies directly as x and y = 540 when x = 10, find x when y = 1080
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\stackrel{\textit{"y" varies directly as "x"}}{y = kx}\qquad \textit{we also know that} \begin{cases} y = 540\\ x = 10 \end{cases}\implies 540=k(10) \\\\\\ \cfrac{540}{10}=k\implies 54=k~\hfill \boxed{y=54x} \\\\\\ \textit{when y = 1080, what is "x"?}\qquad 1080=540x\implies \cfrac{1080}{540}=x\implies 2=x[/tex]
The value of x when y = 1080 for the condition when its given that y varies directly as x and that y = 540 when x = 10, is found to be x = 20
Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
For this case, it is specified that y varies directly as x.
That means
[tex]y \propto x\\or\\y = kx[/tex]
At x = 10, y is 540. Putting these values in the equation y = kx as they're related, we get:
[tex]540 = k \times 10\\\\\text{Dividing both the sides by 10}\\\\\dfrac{540}{10} = k\\\\k = 54[/tex]
Thus, the relationship between x and y is: y = 54x
Now, when y = 1080, we get:
[tex]1080 = 54x\\\\\text{Dividing both the sides by 54}\\\\\dfrac{1080}{54} = x\\\\x = 20[/tex]
Thus, the value of x when y = 1080 for this condition is when x = 20.
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Can someone please help me out with this question?
Answer:
don't get mad at is i don't get this right
i think it would be D
Step-by-step explanation:
Angle A and angle B form a vertical angle pair. The measure of angle A is six less than twice times the measure of angle B. Find the measure of each angle.
Angle A and Angle B are vertical angle pairs. The measure of angle A and B are equal because they are vertical pairs. Therefore, the measure of each angle is 6 degrees.
What is vertical angles?Vertical angles are a pair of opposite angles formed by intersecting lines.
Vertical angles are congruent to each other . Vertical angles share the same vertex.
Therefore, angle A and angle B are congruent because they are vertical angle pair.
Therefore,
∠A≅∠B
let
∠B = x
Therefore,
∠A = 2x - 6
Therefore,
x = 2x - 6
x - 2x = - 6
-x = - 6
x = 6
The measure of each angle is 6 degrees.
learn more on vertical angles here: https://brainly.com/question/14753399
Nasrin invested $6000 in a bond at a yearly rate of 3%. She earned $450 in interest. How long was the money invested?
Pls Hurry.
What is the area of a rectangle with vertices (Negative 8, Negative 2), (Negative 3, Negative 2), (Negative 3, Negative 6), and (Negative 8, Negative 6)?
___ square units
Answer:
20units^2
Step-by-step explanation:
Answer:
20units^2
Step-by-step explanation:
What is question c in the question?
Answer:
y = [tex]4^{10}[/tex]
or
y = 1048576
Step-by-step explanation:
Function:
y = [tex]q^{x}[/tex]
Given values:
q = 4
x = 10
Substitute the given values into the function:
y = [tex]4^{10}[/tex]
or
y = 1048576
hope this helps and is right!! p.s. i really need brainliest :)
Can someone help me on this question? I’ll give brainliest if you answer soon!!!
Answer:
∠ 5
Step-by-step explanation:
Given;
Which angle number represents ∠ WYU
picture
Solve;
First, we have to find the letters WYU in the picture.
Knowing that, WY is an edge, YU is an edge.
And these two sides intersect at Y.
So you get ∠ WYU. As shown in the figure in the picture, 5 represents
∠ WYU
~Learn with Lenvy~
Three friends share 2 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?
Answer:I think that each friend would get 1.5/ 1 1/2.
Step-by-step explanation:
3 divided by 2 equals 1.5
Which is an equation of the line containing the points (4, 6) and (6, 10) in standard form?
A. −2x+y=−2
B. 2x−y=−2
C. −2x−y=−22
D. −2x+y=−8
please show step by step
Answer:
A. −2x+y=−2
Step-by-step explanation:
You put the name of all the students in your class in a paper bag. There are 14 boys and 16 girls. If
you draw a name at random, what is P(girl's name)?
A: 7/15
B: 8/7
C: 8/15
D: 7/8
Find the missing side of the triangle. I'll mark brainiest please help!
Answer:
○ [tex]\displaystyle \textcolor{black}{C.}\:\sqrt{193}\:km.[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem to define the hypotenuse:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 7^2 + 12^2 = x^2 \hookrightarrow 49 + 144 = x^2 \hookrightarrow \sqrt{193} = \sqrt{x^2} \\ \\ \boxed{\sqrt{193} = x}[/tex]
I am joyous to assist you at any time.
[tex] \huge \underline\text{ Hello There}[/tex]
[tex] \text{We know, Pythagoras Theorem}[/tex]
[tex]\implies \text{ (Hypotenuse)²= (Base)² + (Altitude)²}[/tex]
[tex] \text{Here, \red{Hypotenuse}= x, \red{Base}= 7, \red{Altitude}= 12}[/tex]
[tex] \underline \text{To Find, } \text{Value of'x'}[/tex]
[tex] \huge \underline\text \red {Solution}[/tex]
[tex] \implies {x}^{2} = (7) {}^{2} + {(12)}^{2} \\ \implies(x) {}^{2} = 49 + 144 \\ \implies( {x})^{2} = 193 \\ \implies x = \sqrt{193} [/tex]
[tex] \therefore \text{Hypotenuse}= \sqrt{ 193} \text{ km}[/tex]
[tex] \text{Correct Opt. C}= \sqrt{ 193} \text{ km}[/tex]
Rachel has half the amount of money that Melanie has.
Melanie has $12 less than 3 times the amount that Kim has.
Let k represent the amount. of money kim has.
(A) write an expression that represents the amount of money that Melanie and Kim has. (two separate expressions)
(B) if kim has $20, how much money does Melanie and Rachel have?
EXPLAIN UR WORK
Let the amount of money Kim has be k then,
ATQ,
The amount of money Melanie has
⇢3k - $12The amount of money Rachel has
⇢3k-$12/2 = 1.5k - $6Given that,
Kim has $20,
so,
The amount of money Melanie has
⇢3k - $12 = 3 x $20 -$12 = $48The amount of money Rachel has
⇢ 1.5k - $6 = 1.5 x $20 -$6 = $24The demand function Q and cost function C(Q) of a commodity are given by the equations \[ Q = 20 - 0{,}01P\]
C(Q)=60+6Q,
where P and Q are the price and quantity, respectively. The total revenue function (TR) in terms of P is
The total revenue of the function is the product of the quantity and the price
The total revenue in terms of P is TR = 20P - 0.01P^2
How to determine the total revenue?The demand and the cost functions are given as:
Quantity function, Q = 20 - 0.01P
Cost function, C(Q)=60+6Q
The total revenue is calculated as:
TR = Q * P
Substitute Q = 20 - 0.01P in the above equation
TR = P * [20 - 0.01P]
Evaluate the product
TR = 20P - 0.01P^2
Hence, the total revenue in terms of P is TR = 20P - 0.01P^2
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cual es el máximo común divisor de 72, 90 y 36?
Answer:
6
Step-by-step explanation:
6 x 6 = 36
6 x 12 = 72
6 x 15 = 90
Which vector best describes the translation below?
Explanation:
Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)
Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule [tex](x,y) \to (x+9, y)[/tex]. We've added 9 to the x coordinate, and the y coordinate stays the same.
This notation can be shortened to <9, 0>
In general, the notation [tex](x,y) \to (x+a, y+b)[/tex] is shortened to the translation vector notation [tex]< a, b >[/tex]. In this case, a = 9 and b = 0.
Which of the following represents 5 + 10? Mark all that apply.
Evaluate each power.
a. (−7)0 b. (43)0 c. 10 d. (0.5)0
Answer: The answer is two
Step-by-step explanation:
on a blueprint, the height of a door is 0.4cm. the actual height of the door is 2m. What is the scale on the blueprint?
Step-by-step explanation:
2 m corresponds to 0.4 cm on a blueprint.
so,
2 m / 0.4 cm = 200 cm / 0.4 cm
our fun the point of view of the blueprint
0.4 cm / 200 cm
the scale on a map or blueprint is usually normed to one unit on the blueprint :
0.4/200 × f/f = 1/(200×f)
0.4 × f = 1
f = 1/0.4 = 2.5
so, our scale is
(0.4 × 2.5) / (200 × 2.5) = 1 / 500
that means 1 cm on the blueprint corresponds to 500 cm or 5 m in reality.
help me for five fazcoins and a copy of the morbius movie
Answer:
D
Step-by-step explanation:
down 110 ft over time 10 min
time can't be negative
What is the best first step in solving the equation 3 +[tex]3\sqrt[6]{x}[/tex] = 5?
[tex]3+3\sqrt[6]{x}~~ = ~~5\implies \stackrel{\textit{1st step,-3 to both sides}}{3\sqrt[6]{x}~~ = ~~2}\implies \sqrt[6]{x}=\cfrac{2}{3} \\\\\\ (\sqrt[6]{x})^6=\left( \cfrac{2}{3} \right)^6\implies x=\cfrac{2^6}{3^6}\implies x=\cfrac{64}{729}[/tex]
Brainliest if correct
How to get x and what the answer is.
sum of interior angle =n-2(180)
n is the number angles
5-2(180)
3(180)
=540
x=102+116+123+88=429
540-429=111
x=111
Reflect the shape A in the line
y=-1
.What are the coordinates of the vertices of the image?
Answer:
(3,-3) (5,-3) (3,-6)
Step-by-step explanation:
I hope this helps!!
What is the value of x
Answer: 37
Step-by-step explanation:
74=2x
37=x
You are trying to get X by itself. Since it's 2x usually you would multiply it but in this case, divide it by itself into both sides so 74 divide 2 equals 37. If you know the order of operations then reverse it.
I'm just confused about how the answer choices are only 108 and 18.
Answer:
[tex]\huge\boxed{\sf x = 37}[/tex]
Step-by-step explanation:
Since, vertically opposite angles are equal:
74 = 2x
Divide 2 to both sides
74 / 2 = x
37 = x
OR
x = 37
[tex]\rule[225]{225}{2}[/tex]
Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous. that has an extraneous solution. that does not have an extraneous solution. Part 3. Explain why the first equation has an extraneous solution and the second does not.
Extraneous solutions are the values that we get when solving equations which aren't really solutions to the equation.
What are extraneous solutions?Your information is incomplete. Therefore, an overview will be given. An extraneous solution is the root of a transformed equation which is not a root of the original equation since it was excluded from the domain of the original equation.
The reason extraneous solutions exist is simply that some operations produce extra answers, and these operations are a part of the path to solving the problem.
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please help i am confused.