Answers
Answer:
Step-by-step explanation:
1). Step 4:
[tex]x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}[/tex]
[tex]x=\sqrt[3]{5^4}[/tex] [Since, [tex]a^{\frac{1}{3}}=\sqrt[3]{a}[/tex]]
[tex]x=\sqrt[3]{5\times 5\times 5\times 5}[/tex]
Step 5:
[tex]x=\sqrt[3]{(5)^3\times 5}[/tex]
[tex]x=\sqrt[3]{5^3}\times \sqrt[3]{5}[/tex]
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
[tex](3x-1)^{\frac{1}{5}}=2[/tex]
Step 1:
[tex](3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}[/tex]
Step 2:
[tex](3x-1)=2^5[/tex]
Step 3:
[tex]3x=32+1[/tex]
Step 4:
[tex]x=11[/tex]
4). By substituting [tex]x=11[/tex] in the original equation.
[tex](3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}[/tex]
[tex]=(2^5)^\frac{1}{5}[/tex]
[tex]=2[/tex]
There is no extraneous solution.
1). Step 4:
x=5^{\frac{4}{3}}=(5^4)^{\frac{1}{3}}x=534=(54)31
x=\sqrt[3]{5^4}x=354 [Since, a^{\frac{1}{3}}=\sqrt[3]{a}a31=3a
x=\sqrt[3]{5\times 5\times 5\times 5}x=35×5×5×5
Step 5:
x=\sqrt[3]{(5)^3\times 5}x=3(5)3×5
x=\sqrt[3]{5^3}\times \sqrt[3]{5}x=353×35
2). He simplified the expression by removing exponents from the given expression.
3). Let the radical equation is,
(3x-1)^{\frac{1}{5}}=2(3x−1)51=2
Step 1:
(3x-1)^{\frac{1}{5}\times \frac{5}{1} }=2^{\frac{5}{1}}(3x−1)51×15=215
Step 2:
(3x-1)=2^5(3x−1)=25
Step 3:
3x=32+13x=32+1
Step 4:
x=11x=11
4). By substituting x=11x=11 in the original equation.
(3\times 11-1)^{\frac{1}{5}}=(32)^\frac{1}{5}(3×11−1)51=(32)51
=(2^5)^\frac{1}{5}=(25)51
=2=2
There is no extraneous solution.
Related Questions
If x + x = 9, then x =
Answers
Answer: x = 4.5
Step-by-step explanation: First, do x + x, since they are like terms. That equals 2x. The equation is now 2x = 9. Divide both sides by 2. x = 4.5.
x + x = 9
2x = 9
÷2 ÷2
---------------------
x = 4.5
x + x = 9
4.5 + 4.5 = 9
help mi plzz.........
Answers
We know that , tan(x+y)=(tanx + tany)/(1 - (tanx)(tany))
tan(2A+A)=(tan2A+tanA)/(1 - (tan2A)(tanA))— (1)
We know that , tan2x=2tanx/(1 - tan^2x)
So, by substituting tan2A in (1),we get,
=[2tanA/(1 - tan^2A) + tanA]/1- (2tanA/(1 - tan^2A))(tanA)]
=[2tanA+tanA - tan^3A]/[1 - tan^2A - 2tan^2A]
=[3tanA - tan^3A]/[1-3tan^2A]
Therefore, tan3A= [3tanA - tan^3A]/[1-3tan^2A]
one month Laura rented 3 movies and 2 video games for a total of 22$. The next month she rented 5 movies and 6 video games for a total of $52. Find the rental cost for each movie and each video game.
Answers
Step-by-step explanation:
24$
What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?
Answers
Answer:
-7/3 +\- 1/3i
Step-by-step explanation:
If Arnold charges $522.00 for a 4 personal training sessions (of an hour each)
a) What is his hourly rate?
b) How much would he charge for a 3 hour session?
Answers
Answer:
Hourly rate = 130.50
3-hour session = 391.50
Step-by-step explanation:
Part 1
Step 1: Divide the given figures
522.00/4 = 130.50
Step 2: Multiply the result to the number being looked for
130.50 * 1 = 130.50
So, Arnold’s hourly rate is 130.50
Part 2
Step 1: Multiply the answer found in part one to 3
130.50 * 3 = 391.50
Therefore, Arnold’s would charge $391.50 in a 3-hour session
15.
Which of the quadratic functions has the widest graph?
A. 0.3x2
B. -4x2
C. -4/5x2
D. 1/3x2
Answers
Answer:
A. 0.3x2
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
0.8
¯
3
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
0.8
¯
3
x
y
−
2
1.2
−
1
0.3
0
0
1
0.3
2
1.2
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
1
16
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
1
16
x
y
−
2
−
16
−
1
−
4
0
0
1
−
4
2
−
16
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
5
16
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
5
16
x
y
−
2
−
16
5
−
1
−
4
5
0
0
1
−
4
5
2
−
16
5
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3
4
x
y
−
2
4
3
−
1
1
3
0
0
1
1
3
3
3
Cash in hand $79; Bank overdraft $27
Answers
Answer:
Step-by-step explanation:
cash in bank = 79
overdraft = 27
left = 79 - 27
= 52
please help thank you
Answers
I don’t know it is really hard to learn
Answer:
50 ft²
Step-by-step explanation:
ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also
2(25) = 50 sq feet
what is the value of the expression (-2 1/2 -7) -6 1/2
Answers
Answer:
-2
Step-by-step explanation:
If you need the work let me know but that should be correct! Good luck :)
Determine the values of m and if the straight line y = mx + c passes through the point (3, 5) and has a gradient -4 .
Answers
Answer:
y = -4x + 17
Step-by-step explanation:
y = -4x + b
5 = -4(3) + b
5 = -12 + b
17 = b
I am stuck on this question.
Answers
Answer:
D. Yes; the graph passes the vertical line test.
Step-by-step explanation:
1. A and C are wrong since the number of x-values that a y-value have does not matter when it comes to functions.
2. When doing the vertical line test, it is done by drawing a vertical line (up to down) and then seeing if more than 1 point touches the line.
3. After drawing the vertical line you would see only 1 point touches the line which indicates that the graph passes the vertical line test.
4. Therefore, the answer is "D. Yes; the graph passes the vertical line test."
please find Area of triangle
Answers
Answer:
60
Step-by-step explanation:
Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.
Please help me!! I really need it!
Answers
Answer:
X= 7.5 Y=75
Step-by-step explanation:
What is the common ratio for the sequence 5.-10. 20.-40. ?
-2
-1/2
1/2
2
Answers
Answer:
-1/5
Step-by-step explanation:
i think thsts correct answer if not the answer is 1/2
can someone please help for brainlest
Answers
2. What are the zeros of the function
f(x)=2x2 - 2x - 4?
Answers
Answer:
-1 or 2
Step-by-step explanation:
2x2-2x-4
x2-x-2
x2+x-2x-2
x(x+1)-2(x+1)
(x+1)(x-2)
x=-1 or 2
A plant costs p dollars and a bush costs b dollars. Ana buys 2 plants and 4 bushes for $42. Paola buys 7 plants and 9 bushes for $107. Write down a pair of simultaneous equations and solve them to find out the value of p and the value of b.
Answers
Answer:
2p + 4b = 42
7p + 9b = 107
p = $5
b = $8
Step-by-step explanation:
p is cost of plant, b is cost of bush
2p + 4b = 42
7p + 9b = 107
First we'll solve the first equation for p in terms of b:
2p + 4b = 42
subtract 4b from both sides
2p = -4b + 42
divide both sides by 2
p = -2b + 21
Now substitute that value in for p in the second equation, and solve for a numerical value of b:
7(-2b + 21) + 9b = 107
-14b + 147 + 9b = 107
combine like terms:
-5b = -40
b = 8
Use this to go back and solve for p:
p = -2b + 21
p = -2(8) + 21
p = -16 + 21 = 5
---------------------------
check the math:
2p + 4b = 42
2(5) + 4(8) = 10 + 32 = 42
Use the following situation to answer the questions that follow: A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32t + 6.
When is the ball at it's maximum height? Round to the nearest hundredth if needed.
Answers
Answer:
22 feet
Step-by-step explanation:
When graphing the equation, the peak or the maximum of the equation is reached the 1st second of the throw and it reaches 22 feet.
Edgar owns 234 shares of Cawh Consolidated Bank, which he bought for $21.38 apiece. Each share pays a yearly dividend of $3.15. Edgar also owns two par value $1,000 bonds from Cawh Consolidated Bank. The bonds had a market value of 105.166 when he bought them, and pay 8.3% interest yearly. Which aspect of Edgar’s investment in Cawh Consolidated Bank offers a greater percent yield, and how much greater is it? a. The stocks have a yield 6.43 percentage points greater than that of the bonds. b. The stocks have a yield 6.84 percentage points greater than that of the bonds. c. The bonds have a yield 1.05 percentage points greater than that of the stocks. d. The bonds have a yield 9.13 percentage points higher than that of the stocks.
Answers
Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.
Step-by-step explanation:
Firstly, the yield for stocks will be calculated as:
= return/ investment cost
= $3.15/$ 21.38
= 0.14733395
= 14.73%
The yield for bonds will be calculated as:
= Return/Investment cost
Return = 1,000 x 8.3% = 83
Investment cost = 1,000 x 105.166/100 = 1051.66
Yield = 83/1051.66
= 0.07892284
= 7.89%
Then, the difference between the yield will be:
= 14.73% - 7.89%
= 6.84%
Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.
Answer:
b.The stocks have a yield 6.84 percentage points greater than that of the bonds. Step-by-step explanation: got it right on edge 2022!
[tex]\sqrt \frac{256}{4\\}[/tex]
Answers
Answer:
8
Step-by-step explanation:
[tex]\sqrt{\frac{256}{4} }[/tex]
[tex]\sqrt{\frac{16*16}{2*2} }[/tex]
[tex]\sqrt{(\frac{16}{2})^2 }[/tex]
square and root gets cancel . so ,
[tex]\frac{16}{2}[/tex]
8
What is an equation of the line that passes through the points (-5,6) and (7,6)?
Answers
Factor completely 25x^4y^6 − 1
Answers
Answer:
(5x2y3+1)(5x2y3−1)
Step-by-step explanation:
In this case, since this equation has both sides as a perfect square, you can apply the difference of squares formula a^2 - b^2 = (a+b) (a-b)
Applying this formula and factoring it accordingly leaves us off with (5x2y3+1)(5x2y3−1).
What is the solution to the system of equations ?
Y=2/3 x + 3
X= - 2
Answers
Answer:
x = -2, y = 5/3
Step-by-step explanation:
we have the value of x already (-2).
x=-2
Plug it into the first equation y = 2/3x+3
y = 2/3(-2)+3
y = -4/3+3
y = -4/3+9/3
y = 5/3
x = -2, y = 5/3
(m ^ 2 * n ^ 3)/(n ^ - 2)
Answers
Answer:
m²n⁵
Step-by-step explanation:
m²n³ / n-²
The exponent changes sign when "flipped" from division to multiplication
m²n³ * n²
m²n⁵
SOMEONE ONE PLEASE HELP
Answers
Answer:
ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
Help! I got 3,593 but that doesn’t make sense
Answers
Because the number increase by a percentage this is an exponential growth problem.
The equation for exponential growth is :
Total = start value x ( 1 + percent) ^ time
Using the information from the problem:
2011-2005 = 6 years.
Total = 23 x (1 + 0.72)^6
Total = 23x 1.72^6
Total = 595.52 = 596 total people
If the equation y=-5x+12 is translated up five units, what would the new equation be?
Answers
Answer:
y=-5x+17
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
We would add '5' to the y-intercept (12) to make a translation up 5 units.
y = -5x + 12 + 5
y = -5x + 17
Hope this helps.
Which of the following is a geometric sequence?
O A. 2, 4, 8, 16, 32
O B. 3, 6, 9, 15, 24
O C. 6, 13, 20, 27, 34
O D. 2,5,7,12, 19
Answers
explanation: multiply 2 x 2= 4 then 4 x 2= 8 then 8 x 2= 16 then 16 x 2= 32 so basically your just multiplying every number by the same exact number which is 2
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Defined the explicit section for the sqeucrce in the table
Thank you
Answers
Answer:
B. Linear decreasing
Step-by-step explanation:
Answer:
Linear decreasing;
Straight line = linear
Slope downwards (from left to right) = decreasing function
There is 1 box of plain yogurt with 18 yogurt cups. There are 4 boxes of fruit yogurt each with c yogurt cups. Represent this situation with a picture or diagram.
Answers
(The number or letter written inside is the number of cups)