Answer: Choice D) [tex]x = a\left(1-\frac{y}{b}\right)[/tex]
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Work Shown:
[tex]\frac{x}{a}+\frac{y}{b} = 1\\\\\frac{x}{a} = 1-\frac{y}{b}\\\\x = a\left(1-\frac{y}{b}\right)\\\\[/tex]
Explanation:
First I subtracted y/b from both sides. Then I multiplied both sides by 'a' to fully isolate x. You can optionally distribute the 'a' through to each term inside the parenthesis, but your teacher has chosen not to do this.
what laws of exponent they are:
1. (x-²)-³ = x⁶
2. (a^m)^n = a^m^n
3. a⁰ = 0
Answer:
The laws of exponents are:
a) (x^n)*(x^m) = x^(n + m)
b) (x^n)/(x^m) = x^(n - m)
c) (x^n)^m = x^(n*m)
Now, let's see the given equations:
1) (x-²)-³ = x⁶ (true)
Here we se the third law, the "c"
(x^(-2))^(-3) = x^(-2*-3) = x^6
Then this equation is correct.
2) (a^m)^n = a^m^n (false)
This law does not exist, this is false.
An example of why this is false is:
Let's use the values:
a = 2, m = 1, and n = 2
then, in the left side we have:
(2^1)^2 = (2)^2 = 4
And in the right side we have:
2^(1^2) = 2^(1) = 2
We can see that we have different things in the left side than in the right side, then that relation is false.
3) a⁰ = 0 (false)
Let's rewrite this as:
a^0 = a^(n - n)
Now we can use the second law to rewrite this as:
a^(n - n) = (a^n)/(a^n)
And we have a number divided by the exact same number, we know that this is equal to 1, then:
(a^n)/(a^n) = 1
this means that:
a^0 = 1.
Then this is also false.
The only correct option is the first one.
What is c? 1/3c = 3/8;c=3/4
Answer:16
Step-by-step explanation:
U just mu
f(x)=-3x²+2x-5
What is f(-1)?
Answer: f (-1) = 9
Step-by-step explanation:
You just have to substitute -1 for x
f (-1) = -3 (-1)^2 + 2 (-1) - 5
f (-1) = 3^2 + -2 - 5
f (-1) = 9 - 7
f (-1) = 2
I think I'm correct so I hope this helped!
[tex]f(-1)=-3.(-1)^{2} +2.(-1)-5\\=\\-3.1+(-2)-5\\-3+(-2)-5\\-5-5=-10[/tex]
Use the replacement set to find the solution set to the inequality c+5<16 {10,11,12}
Answer:
the answer would be 10
Step-by-step explanation:
:)))
Geometry TEST #5 Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent? x a. SAS only b. AAS only c. Either SAS or AAS d. neither
Answer
ANGLE SIDE SIDE
Step-by-step explanation: Because you have an angle side side hope this helps
Valerie deposits $1,900 in an account that
earns 3% interest, compounded quarterly.
How much is in the account after six years?
Answer:
$2273.19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compound Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
A is final amountP is principle amountr is raten is compound ratet is time (in years)Step-by-step explanation:
Step 1: Identify Variables
P = $1900
r = 3% = 0.03
n = 4
Step 2: Solve for A
Substitute [CIRF]: [tex]\displaystyle A = 1900(1 + \frac{0.03}{4})^{4(6)}[/tex](Parenthesis) Divide: [tex]\displaystyle A = 1900(1 + 0.0075)^{4(6)}[/tex](Parenthesis) Add: [tex]\displaystyle A = 1900(1.0075)^{4(6)}[/tex](Exponents) Multiply: [tex]\displaystyle A = 1900(1.0075)^{24}[/tex]Exponents: [tex]\displaystyle A = 1900(1.19641)[/tex]Multiply: [tex]\displaystyle A = 2273.19[/tex]A recipe calls for 2 1/3 cups of flour to make a batch of cookies. How many batches of cookies can be made if you have 11 2/3 cups of flour? Write a multiplication and division problem in the table below and solve the problem.
Write a Multiplication problem.
Write a Division problem.
Number of batches of cookies
Answer:
Good question
Step-by-step explanation:
PL EA S E H E L P M E! !
WILL MARK BRAINLIEST Solve this system of linear equations. Separate
the x- and y-values with a comma.
2x = -24 - 4y
-5x = 36 + 4y
Enter the correct answer.
Answer:
x=-4 , y=-4
Step-by-step explanation:
see the attached pic
If the points are (-10, 3), (-2, 10) what is the slope?
Answer:
= 7/ 8
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 10-3)/( -2 - -10)
= ( 10-3)/( -2 +10)
= 7/ 8
1. A car used be of a gallon of gas to drive of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?
Answer:
I think it is 16
Step-by-step explanation:
64÷4=16
4/64of gas=1 mile so I divided 64 by 4
Need help with this question
Answer:
Correct answer is no. 1
Step-by-step explanation:
Answer:
Choice A, or the first choice, should be the answer
Step-by-step explanation:
By using the process of elimination, you can cross out choices B and C because the speed limit is 30.
The speed limit is 30, thus your speed can be at 30 mi/h.
Choice A is the last and the correct answer.
Ronald McDonald kills 10 kids on Monday and he poised 4 dogs on Tuesday and on Wednesday he drowns 12 babys and on Thursday he bombs 3 Russian homes we don't know how many he killed on Friday but in total he has killed 500 victims and on Saturday and Sunday he took a break, how many kids did Ronald McDonald kill on friday?
Answer: my boi killed 471 people on a friday
Step-by-step explanation:
which of these is expression is equivalent to z+z+z+z
Answer:
4z
Step-by-step explanation:
Answer:
4z
Step-by-step explanation:
z + z + z + z
~Combine like terms
4z
Best of Luck!
In the diagram, if KL=10, and MK=2, and JM=6 determine the value of MN. Show your work or explain how you arrived at your answer.
Please help
Answer:
okffxddg you can see the attached file is scanned
WHOEVER ANSWERS THIS FIRTS GETS BRAINIEST
Answer:
62mm
Step-by-step explanation:
Add each side together, check answer.
Start by adding 17 and 10 together. Break it down and that equals 27. Add 11 and you get 38. Add 19 and 5 to get 24 and add that to 38. Answer, 62mm.
what is an irrational number between 6 an 8
Answer:
6.128054
Step-by-step explanation:
please help me with this question!
What does the open circle and closed circle mean??
Answer:
the open circle is greater than the closed circle is less than.
PLEASE HELP ILL GIVE YOU BRAINLIEST
give the coordinates (1,4) after a translation 3 units up and 2 units to the left.
Answer:
The coordinates would be (3,7)
A medication cost $4.40 per pound. As the assistant to the accountant, find the cost per kilogram. (1 kg ≈ 2.2 lb)
Answer:
i believe its 2$ per pound but not completely sure
Step-by-step explanation:
3. Select all answers that would create a dilation.
O (x,y) -----> (2x,4y)
O (x,y) -----> (-2x,-2y)
O (x,y) -----> (92x,2y)
O (x,y) -----> (3x,3y)
O (x,y) -----> (1.2x,1.2y)
Answer:
Option B,D and E will create dilation.
Step-by-step explanation:
Dilation is the enlarging or shrinking of an element using a common scale factor.
If the same factor is multiplied by the elements, the dilation is created.
Looking at the options:
Option A
O (x,y) -----> (2x,4y)
if we take 2 as common we get 2 (x,2y) not the original coordinates (x,y). So, no dilation.
Option B
O (x,y) -----> (-2x,-2y)
if we take -2 as common we get -2(x,y) which is same as original coordinates. It would create dilation.
Option C
O (x,y) -----> (92x,2y)
if we take 2 as common we get (46x,y) not the original coordinates (x,y). So, no dilation.
Option D
O (x,y) -----> (3x,3y)
if we take 3 as common we get 3(x,y) which is same as original coordinates. It would create dilation.
Option E
O (x,y) -----> (1.2x,1.2y)
if we take 1.2 as common we get 1.2(x,y) which is same as original coordinates. It would create dilation.
So, Option B,D and E will create dilation.
Find the product of 3 1/8 and 5/8 . Express your answer in simplest form.
Answer:
5
Step-by-step explanation:
3 1/8 : 8 x 3=25 new fraction
25/8 x 8/5 you have to do kcf Keep Change Flip
and then multiply
8x5=40 25x8=200 simply by 40
5/1= 5 hope it helped im not the best :)
2 out of 5 runners finished in fewer than 10 minutes. What percent of the runners finished in fewer than 10 minutes?
Answer:
40%
Step-by-step explanation:
2/5 can be converted to 40/100 by multiplying the numerator and denominator by 20.
40/100 is equivalent to 40%.
Debbie rides her bike to school every day. On Monday, she rode 1.5 miles to school in 10
minutes. On her way home, she took a different route through a park, and rode 3 miles in 15
minutes. On which route did Debbie ride at a faster pace?
Answer:
the second route
Step-by-step explanation:
1.5/10=0.15 miles/minute
3/15=0.2 miles/minute
0.2 is faster than 0.15
What is the product of 5.9 x 103 and 5.9 x 104 expressed in scientific notation?
What is the product of 5.9 x 10^3 and 5.9 x 10^4 expressed in scientific notation
HELP ME PLEASE!!! Asap
Solve for the proportion 42/21 = 6/d
chile yall i need HALP
Answer:
indian ocean
Step-by-step explanation:
Write the number as a percent.
1/5
Answer:
1/5 = 20%
Step-by-step explanation:
Let x be the percentage.
[tex]\frac{1}{5} * \frac{x}{100}[/tex]
100 = 5x Cross multiply
x = 20%
Hope this helps!
Answer: 20%
Step-by-step explanation: 1/5=0.2 0.2x100=20 20%