Please help me to solve this problem of ordered pairs. The value of x and y should be find.
Answers
Answer:
x=y=-2
Step-by-step explanation:
Comparing these ordered pairs, we will get
4^(1/x)=1/2 and 9^(1/y)=1/3
x=-2 and y=-2
Answer:
x = y = - 2
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex] , [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , [tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Given
[tex]\sqrt[x]{4}[/tex] = [tex]\frac{1}{2}[/tex] , then
[tex]\sqrt[x]{2^{2} }[/tex] = [tex]\frac{1}{2}[/tex]
[tex]2^{\frac{2}{x} }[/tex] = [tex]2^{-1}[/tex]
Since the bases on both sides are equal, both 2 , then equate exponents
[tex]\frac{2}{x}[/tex] = - 1 ( multiply both sides by x )
2 = - x , that is
x = - 2
Similarly
[tex]\sqrt[y]{9}[/tex] = [tex]\frac{1}{3}[/tex] , then
[tex]\sqrt[y]{3^{2} }[/tex] = [tex]\frac{1}{3}[/tex]
[tex]3^{\frac{2}{y} }[/tex] = [tex]3^{-1}[/tex]
Equating the exponents gives
[tex]\frac{2}{y}[/tex] = - 1 ⇒ - y = 2 ⇒ y = - 2
Related Questions
How would I do this?
Answers
Solve for x in the diagram below.
Answers
Answer:
x = 45
Step-by-step explanation:
180 = (2x + 45) + x
135 = 2x + x
135/3 = 3x/3
45 = x
Answer:
x = 45
Step-by-step explanation:
The 2 given angles are adjacent snd sum to 180° , then
2x + 45 + x = 180 , that is
3x + 45 = 180 ( subtract 45 from both sides )
3x = 135 ( divide both sides by 3 )
x = 45
12. solve for a.
help please
Answers
Answer:
okay so given :-
R = x(A+B)
now open bracket =>
R = Ax + Bx
shifting Bx
R - Bx = Ax
so now shift x to lhs and finally we get
A = (R - Bx)/x option d is correct
please brainliest <3
15. Determine the y-intercept for the following equation
4x + 2y = -12
Answers
Answer:
Step-by-step explanation:
Subtract 4x from both sides
4x-4x + 2y = -4x - 12
2y = - 4x - 12
Divide by 2
2y/2 = -4x/2 - 12/2
y = -2x - 6
The y intercept happens when x = 0
y intercept is - 6
or 0,-6
Answer:
y intercept = -6
x intercept = -3
Step-by-step explanation:
(a/b)^x-1 = (b/a)^x-3
Answers
Answer:
x = 2
Step-by-step explanation:
What is the surface area of the cylinder with height 5 ft and radius 2 ft? Round your
answer to the nearest thousandth.
Answers
Answer:
87.965
Step-by-step explanation:
surface area of a cylinder,
2πr²+2πrh (where r = radius, h = height)
given, h = 5, r = 2
so,
2πr²+2πrh
= 2π×2²+2π×2×5
= 8π+20π
= 28π
= 87.9645943..
= 87.965 (rounded to the nearest thousand)
A cartoon has a length of 1 2/3 feet, width of 1 1/6 feet, and height of 1 1/5 feet what is the volume of the cartoon?
A: 2 cubic feet
B: 2 1/3
C: 4 cubic feet
D: 4 2/3
Answers
B: 2 1/3
Step-by-step explanation:
Volume = length x width x height
Volume = 1 2/3 x 1 1/6 x 1 1/5
Volume = 2 1/3
A sum of Rs 600 amount to Rs 735 ins years at a certain rate of interest. If the rate of interest is increased by 2%. what will be the amount?
Answers
Answer:
the amount will 26.7 ......hope this may help you
please help!! will give brainliest
Answers
Answer: 320
Step-by-step explanation:
Step 1) Identify Number of options for each set
For the entree, you have 4 options, for the sides, you have 4 options, and for the drink you have 5
Step 2) Find all possible outcomes
4 options for the entree × 4 options for the first side × 4 options for the second side × 5 options for the drink
Step 3) Solve
4 × 4 × 4 × 5 = 320
Evaluate-2 xy, if x= - 4 and y= 1.
Answers
Answer:
8
Step-by-step explanation:
-2 xy
Let x = -4 and y = 1
-2 (-4)*(1)
8(1)
8
Explain how to find the middle quartile of a box-and-whisker plot.
Answers
Step-by-step explanation: The middle quartile or second quartile as I like to call it is the median of the entire data set. Remember that the median is the middle number when the data is written from least to greatest.
Pleaseeeee help!!!!!
Answers
Answer:
.71
Step-by-step explanation:
We only need to look at the brown eyes row
2+2+10 =14
Brown hair is 10
P(brown hair) = brown hair / total
=10/14 =5/7 = .714285714
rewrite without parentheses and simplify (y-5)^2
Answers
y^2 - 10y + 25
Step-by-step explanation:
(y - 5)^2 =
(y - 5) • (y - 5)
Multiply y times y
y^2
Add 5 and 5
10
Multiply 5 and 5
25
Add these terms together
y^2 - 10y + 25
Answer: (y - 5)² = y² - 10y + 25
Concept:
There are in total three general types of parentheses-squared method:
(a - b)² = a² - 2ab + b²(a + b)² = a² +2ab + b²(a - b) (a + b) = a² - b²Solve:
Given = (y - 5)²
Apparently, the given expression accords with (a - b)², where [y] = [a] and [5] = [b].
(a - b)² = a² - 2ab + b²
(y - 5)² = y² - 2(y)(5) + 5² = y² - 10y + 25
Hope this helps!! :)
Please let me know if you have any questions
Find the value of x in the triangle shown below.(not a test just need help with khan academy)
Answers
Using angle sum property
[tex]\\ \sf\longmapsto x+44+29=180[/tex]
[tex]\\ \sf\longmapsto x+63=180[/tex]
[tex]\\ \sf\longmapsto x=180-63[/tex]
[tex]\\ \sf\longmapsto x=117°[/tex]
The angle sum property of a triangle:
The total measure of the three angles of a triangle is 180°[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: + \: 44 \degree \: + \: 29 \degree \: = \: 180 \degree[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: + \: 73 \degree \: = \: 180 \degree[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: = \: 180 \degree \: - \: 73 \degree \:[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \: \tt \: x \: = \: 107 \degree[/tex]
⇛ Value of x is 107°Gabriella has a smart phone data plan that costs $25 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Gabriella have to pay in a month where she used 5 GB over the limit? How much would Gabriella have to pay in a month where she used went over by x x GB?
Answers
convert 10.09% to a decimal
Answers
Answer:
0.1009
Step-by-step explanation:
To convert percentage into decimal, you need to divide the percentage by 100
10.09/100
= 0.1009
10.09 ÷ 100 = 0.1009
Therefore, the answer is 0.1009
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answers
O A. 708.01
Step-by-step explanation:
Volume of a cone = 3.14 r^2 h/3
Volume of a cone = 3.14 7^2 14/3
Volume of a cone = 3.14 (49) 14/3
Volume of a cone = 3.14 (686)/3
Volume of a cone = 2154/3
Volume of a cone = 718.01
Please help, need to find f^-1 (x)
Answers
The inverse function [tex]f^{-1}(x)[/tex] is such that
[tex]f\left(f^{-1}(x)\right) = x[/tex]
Plugging [tex]f^{-1}(x)[/tex] into [tex]f(x)[/tex] gives us
[tex]f\left(f^{-1}(x)\right) = \dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x[/tex]
Solve for [tex]f^{-1}(x)[/tex] :
[tex]\dfrac{3f^{-1}(x) + 3}{5f^{-1}(x) + 6} = x \\\\ 3f^{-1}(x)+3=x\left(5f^{-1}(x)+6\right) \\\\ 3f^{-1}(x) + 3 = 5x f^{-1}(x)+6x \\\\ 5xf^{-1}(x)-3f^{-1}(x) = 3 - 6x \\\\ (5x-3)f^{-1}(x)=3-6x \\\\ \boxed{f^{-1}(x)=\dfrac{3-6x}{5x-3}}[/tex]
The temperature falls from 0 degrees to - 123 degrees in 3 hours. Which expression finds the change in
temperature per hour? ?
7 49
024
-
7 49
0 -24
49 7
0 -1
0
49 7
4 -
Answers
Answer:
D
Step-by-step explanation:
Change=Temperature/Time
Change=(-49/4)/(7/2)
3-5n+4n=4. help please
Answers
Answer:
n = -1
Step-by-step explanation:
3-5n+4n=4
3 - n = 4
-n = 1
n = -1
A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price of the bicycle
Answers
[tex] \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}[/tex]
We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :[tex] \large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}[/tex]
[tex] \large{ \tt{❃ \: SP \: with \: VAT= SP + VAT\% \: of \: SP}}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = SP + \frac{13}{100} \: sp}}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = \frac{100 \: \: SP + 13 \: SP}{100} }}[/tex]
[tex] \large{ \tt{⇢ \: 4068 = \frac{113 \: SP}{100} }}[/tex]
[tex] \large{ \tt{⇢ \: 113 \: SP = 406800}}[/tex]
[tex] \large{ \tt{⇢ \: SP = \frac{406800}{113} }}[/tex]
[tex] \large{ \tt{⇢ \: SP = 3600}}[/tex]
Hence , SP = Rs 3600[tex] \large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}[/tex]
Let Marked Price [ MP ] be x.[tex] \large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = x - \frac{10}{100} } \: x}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = \frac{100x - 10x}{100} }}[/tex]
[tex] \large{ \tt{⇾ \: 3600 = \frac{90x}{100} }}[/tex]
[tex] \large{ \tt{⇾ \: 90x = 360000}}[/tex]
[tex] \large{ \tt{⇾ \: x = \frac{360000}{90} }}[/tex]
[tex] \large{ \tt{⇾ \: x = Rs \: 4000}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \boxed {\tt {\: Rs \: 4000}}}}}}[/tex]
Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)Câu hỏi
6 : (x -1 )
-----------------
Answers
Answer:
i don't
Step-by-step explanation:
know spanish
Om had a balance of 546 in his checking account. He made a deposit of $56, and wrote checks for $17 and $30. His bank charged him a $3 service fee. How much
honey does Om have in the account?
Answers
Answer:
540
Step-by-step explanation:
546-56=490
490+17+30=537
537+3=540
help me please!! first write the subtraction with a common denominator then subtract
Answers
Answer:
hope it helps you
Step-by-step explanation:
pls kindly mark it brainliest answer
Answer:
[tex]\frac{3}{5} - \frac{1}{3} = \frac{9}{15} - \frac{5}{15} = \frac4{15}[/tex]
Step-by-step explanation:
3/5 - 1/3
Multiply 3/5 by 3/3 to keep the fraction equivalent and have a common denominator
3/5 times 3/3 = 9/15
Multiply 1/3 by 5/5 to keep the fraction equivalent and have a common denominator
1/3 times 5/5 = 5/15
9 / 15 - 5 / 15 = 4/15
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE QUESTION!!
Answers
Answer:
(base x height x length)/2 = volume
6x8x8 = 384/2 = 192in^3
hope that answers your question
One number is three times another number. If the sum of the numbers is 36, determine the two numbers.
Answers
Step-by-step explanation:
A=3B
A+B=36
3B+B=36
4B=36
B=36/4
Step-by-step explanation:
let x represent the smaller number
3x is the second number
x+3x=36
4x=36
4x/4=36/4
x=9
the second number is 3(9)
=27
ASAP!! Photo attached
Answers
Answer:
FG = 120 cm
Step-by-step explanation:
The explanation is in the picture!
if a = 6 b=5, then find the value (a+b)
Answers
Step-by-step explanation:
Put the numbers as the value is given
So,
(6+5)= 11 Answer
11
Step-by-step explanation:
(a + b) where a = 6 and b = 5
Step 1. Substitute a for 6 and b for 5
(6 + 5)
Step 2. Add
11
in june , john withdrew 1/5 of the money in his savings account. in july he withdrew 1/3 of what remained. in august, he withdrew 1/4 of the remaining balance.if he made no other transactions and ended up with $480 in her account, what did he start with?
Answers
Answer
28,800$
Step-by-step explanation:
480 x 4 = 1920 x 3 = 5760 x 5 = 28800
9. Raul's teacher purchases two rectangular paintings. The dimensions of the first painting are proportional to the
dimensions of the second painting. The dimensions of the first painting are 8 inches by 20 inches. One of the
dimensions of the second painting is 24 inches. Which length, in inches, could be the unknown dimension of the
second painting?
(A) 4
(B)6 2/4
(C)9 3/5
(D)12
Answers
Answer:
(c) 9 3/5
Step-by-step explanation:
This is a ratio question. We can work with the dimensions as fractions and solve through cross-multiplication.
Dimensions of the first painting:
8/20 in.
Possible dimensions of the second painting:
24/x in.
x/24 in.
There are two options, because the given 24 inches may be either a length or width of the painting.
Now, we can use cross-multiplication to try to find x in both scenarios.
Scenario #1
8/20=24/x
8x=480
x=60 in.
60 in. is not an answer. Let's try the other scenario.
Scenario #2
8/20=x/24
192=20x
9.6 in.=x
9.6 can also be written as 9 3/5, which is option C.
