which expression is equivalent to 2^3 square root x^2 • square root 16x if x > 0
Answers
Answer:
A
Step-by-step explanation:
The question is actually: 2 \sqrt[3]{x^3} ·\sqrt{16x}
The expression is equivalent to option A, [tex]\rm 8x \sqrt[6]{x}[/tex].
What is an Expression?An expression is a mathematical statement that consists of variables, constants, and mathematical operators.
The expression is [tex]\rm 2\sqrt[3]{x^2} . \sqrt{16x}[/tex]
The expression can be simplified as
[tex]\rm = 2 . 4 x^{2/3} x^{1/2}\\\\\=8 x ^{ 7/6}\\\\\\ = 8x x^{1/6}\\\\= 8x \sqrt[6]{x}[/tex]
Therefore, the expression is equivalent to option A, [tex]\rm 8x \sqrt[6]{x}[/tex].
To know more about Expression
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Related Questions
HELP ME ASAP! TYSMMM
Ten family size bags of chips cost $15.00. What is the cost per bag? How much would 11 bags cost?
Answers
Answer:
Each bag is $1.50. 11 bags would cost $16.50.
Answer:
Each bag would cost 1.50$.
15.00$ / 10 = 1.5$
1.5 = 1.50
______________________
11 bags:
1.5 x 11 = 16.5
16.5 = 16.50$
11 bags would cost 16.50$
CAN SOMEONE HELP WITH THIS ASAP!!!!!! and explain how u got the answer
Answers
9514 1404 393
Answer:
12.4
Step-by-step explanation:
FD is marked as 6.2. It is a "midline" parallel to AC. A midline is half as long as the side it is parallel to.
AC = 2×6.2
AC = 12.4
Triangle GHJ with vertices G(-2,4), H(3,6), and J(3,-2) is dilated by a factor of centered at the origin. What are the coordinates of G' after the dilation? 63,4) (2,4) . 3) O 12 2 3 3 3 (3,-4)
Answers
Answer:
The answer would most likely be the second one because that one makes the most sense here.
Step-by-step explanation:
When a triangle is dilated, the size of the triangle changes.
The coordinate of G' after dilation is: (a) [tex]\mathbf{(-\frac 23,\frac 43)}[/tex]
The vertices are given as:
[tex]\mathbf{G = (-2,4)}[/tex]
[tex]\mathbf{H = (3,6)}[/tex]
[tex]\mathbf{J = (3,-2)}[/tex]
The scale factor (k) is given as:
[tex]\mathbf{k =\frac 13}[/tex]
So, the image of G is calculated as:
[tex]\mathbf{G' = k \times G}[/tex]
This gives:
[tex]\mathbf{G' = \frac 13 \times (-2,4)}[/tex]
[tex]\mathbf{G' = (-\frac 23,\frac 43)}[/tex]
Hence, the coordinate of G' after dilation is: (a) [tex]\mathbf{(-\frac 23,\frac 43)}[/tex]
Read more about dilations at:
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32 times 49302019284848484
Answers
Use the graph to write an explicit function to represent the data and determine how much money Taryn earned in week 5.
graph with x axis labeled Number of Weeks and ranges from zero to seven, y axis labeled Money Earned, in dollars, and ranges from zero to one hundred eighty with points at one comma four, two comma twelve, three comma thirty six, and four comma one hundred eight
f(n) = (3)n − 1; f(5) = 81
f(n) = 4(3)n + 1; f(5) = 2,916
f(n) = 4(3)n; f(5) = 972
f(n) = 4(3)n − 1; f(5) = 324
Answers
Answer:
answer is C f(n) = 4(3)n; f(5) = 972
Step-by-step explanation:
i took the test, also
The graph is an illustration of an exponential function
The true statement is (d) [tex]\mathbf{f(n) = 4(3)^{n-1}}[/tex], [tex]\mathbf{f(5) = 324}[/tex]
An exponential function is represented as:
[tex]y = ab^{x-1}[/tex]
From the graph, we have the following points
[tex](x_1,y_1) = (1,4)[/tex]
[tex](x_2,y_2) = (2,12)[/tex]
So, we have:
[tex]y = ab^{x-1}[/tex] --------- [tex](x_1,y_1) = (1,4)[/tex]
[tex]4 = ab^{1-1}[/tex]
[tex]4 =ab^0[/tex]
[tex]4 =a \times 1[/tex]
[tex]4 =a[/tex]
[tex]a = 4[/tex]
[tex]y = ab^{x-1}[/tex] --------- [tex](x_2,y_2) = (2,12)[/tex]
[tex]12 = ab^{2-1[/tex]
[tex]12 = ab[/tex]
Substitute [tex]a = 4[/tex]
[tex]12 = 4b[/tex]
Divide both sides by 4
[tex]3 = b[/tex]
[tex]b =3[/tex]
Recall that:
[tex]y = ab^{x-1}[/tex]
So, we have::
[tex]y = 4(3)^{x-1}[/tex]
Express as a function of n
[tex]\mathbf{f(n) = 4(3)^{n-1}}[/tex]
Substitute 5 for n, to calculate the 5th term
[tex]\mathbf{f(5) = 4(3)^{5-1}}[/tex]
[tex]\mathbf{f(5) = 4(3)^4}[/tex]
[tex]\mathbf{f(5) = 324}[/tex]
Hence, option (d) is correct
Read more about exponential functions as:
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A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.
Which equations and solutions describe the situation? Select two options.
Answers
Answer:
$11.50 is being split among the 8 friends
Step-by-step explanation:
76 + 16 = 92
92/8 = 11.5
Answer:
A and C
Step-by-step explanation:
1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
2) The solution x=60 represents the total food bill.
plz i need help gdfsgsdsgdsgdsgdsgsdgdsgdsdfhdhjdfdfjdfjdfjdj
Answers
Answer:
(-3,0) (-2,-2)
Step-by-step explanation:
f(x) = x^2 + 3x
f(-2)=
Answers
f(-2) = -2^2 + 3*-2
f(-2) = 4 + -6
f(-2) = -2
What is the slope of the line below?
Answers
Answer:
The answer is the green answer choice which is 5/7.
Step-by-step explanation:
Noah bought 4 tacos and paid $6. At this rate, how many tacos could he buy for $15?
Answers
Answer:
10
Step-by-step explanation:
each taco is 1.50$ 15$ divided by 1.50$ is 10
Answer:
He can buy 10 tacos with $15.
Step-by-step explanation:
You can do a cross multiplication process. Think in this way:
If he buys 4 tacos for $6, then how many tacos can he get in $15? When you do the cross multiplication process, you'll find that he can get 10 tacos with $15.
-8.4-0.9
please help solve
Answers
Answer:
-9.3
Step-by-step explanation:
Answer:
Step-by-step explanation:
-9.3
Parker has $137 in one, five, and ten dollar bills. He has just as many ten dollar bills as he has five and one dollar bills together. If he has 22 bills in all, how many of each type of bill does he have?
Answers
Step-by-step explanation:
(1$) 7+ ($5) 4 + ($10) 11=22 bills
7+20+110=137$
