Answers
Answer:
2 ^ (x - 3) ÷ 2 ^ 3(2y - 3)=2 ^ 4(x - y)
The two are common so we give it out then
x - 3 ÷ 6y - 9 =4x - 4y
x - 3 -4x - 4y = 6y -9
-3x -2y = -6
6=3x+2y
Answer:
Step-by-step explanation:
[tex]\frac{2^{x-3}}{8^{2y-3}}=16^{x-y}\\\\\frac{2^{x-3}}{(2^{3})^{2y-3}}=(2^{4})^{x-y}\\\\\frac{2^{x-3}}{2^{3*(2y-3)}}=2^{4*(x-y)}\\\\\frac{2^{x-3}}{2^{6y-9}}=2^{4x-4y}\\\\2^{x-3 -(6y-9)}=2^{4x-4y}\\\\2^{x-3-6y+9}=2^{4x-4y}\\\\2^{x-6y+6}=2^{4x-4y}[/tex]
base is same, so equate the powers
x - 6y + 6 = 4x - 4y
Subtract 'x' from both sides
-6y + 6 = 4x -x - 4y
-6y + 6 = 3x - 4y
Add '6y' to both sides
6 = 3x - 4y + 6y
6 = 3x + 2y
Hence proved
Related Questions
Find the value of x in the triangle shown below.
Answers
Answer:
x=80
Step-by-step explanation:
The base angles have to be the same since the sides are both 14
The sum of the angles of triangle is 180
50+50+x = 180
100+x= 180
x = 180-100
x= 80
What is the y-intercept of f(x) = see
Picture
Answers
Answer:
(0,1)
Step-by-step explanation:
f(x) = (1/2)^x
To find the y intercept, let x = 0
f(x) = (1/2) ^0
f(x) = 1
(0,1)
maths question please help !! thank u :)
Answers
Answer:
1350m
Step-by-step explanation:
Let the distance ran by Denise, Farah and Elaine be D, F and E meters respectively.
From the given information,
D= ⅔(E +F) -----(1)
E= ½(D +F) -----(2)
Let's get rid of the fraction so the equations are much easier to work with.
From (1):
3D= 2(E +F) (Multiply both sides by 3)
3D= 2E +2F -----(3) (Expand)
From (2):
2E= D +F -----(4)
Substitute (4) into (3):
3D= D +F +2F
3D -D= 3F
2D= 3F
Given that Farah ran 360m, F= 360.
2D= 3(360)
2D= 1080
D= 1080 ÷2
D= 540
2E= D +F
2E= 540 +360
2E= 900
E= 900 ÷2
E= 450
Total distance the 3 girls ran
= D +F +E
= 540 +360 +450
= 1350m
Alternatively, you could start by substituting F= 360 to equations (1) and (2).
One angle of a triangle is 22^0. What is the measurement (in degrees) of the corresponding angle in a similar triangle?
Answers
Answer:
22 degrees
Step-by-step explanation:
Corresponding angles in similar triangles are equal
So the corresponding angle would be 22 degrees
What is the factored form of 1,458,43 – 2?
Answers
Answer:
Factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458. There are 14 integers that are factors of 1458. The biggest factor of 1458 is 1458. Positive integers that divides 1458 without a remainder are listed below.
If F is the function defined by F(x)=3x−1, find the solution set for F(x)=2.
A. {13}
B. {8}
C. {5}
D. {1}
Answers
Answer:
D. {1}
Step-by-step explanation:
F(x)=3x−1
Let F(x) =2
2 = 3x-1
Add 1 to each side
2+1 = 3x-1+1
3 =3x
Divide by 3
3/3 = 3x/3
1 =x
HElp ASAP
A cement truck mixes 1 part cement
with 4 parts sand. If 2.5 cubic yards of
cement are used, how much sand is
needed for the mixture?
a. 6.25 cubic yards
b. 7.5 cubic yards
c. 10 cubic yards
d. 12.5 cubic yards
Answers
Answer: The answer is already there
Step-by-step explanation:
Use prime factor decomposition, to find the HCF of 90 and 210!
Answers
Answer:
30
Step-by-step explanation:
90 = 2 × 3^2 × 5
210 = 2 × 3 × 5 × 7
HCF = 2 × 3 × 5 = 30
if you can type 55 words in 20 seconds how long would it take to type 1,007 words
Answers
Answer:
2769.25Secound...........
What the equation for the slope intersection for the graph tue picture that showing ?
Answers
Answer:
Y = -5X +-1
Step-by-step explanation:
x1 y1 x2 y2
-1 4 1 -6
(Y2-Y1) (-6)-(4)= -10 ΔY -10
(X2-X1) (1)-(-1)= 2 ΔX 2
slope= -5
B= -1
Y =-5X +-1
I need help plz with this
Answers
Answer:
a) 390
b)108
I hope this answer was helpfull for you
NEED HELP ASAP!!!!!!
Performance Task Vector Operations
e) Draw u + 3v – 1/2w
Answers
Answer:
(2, -6)
Step-by-step explanation:
u = (5, 0)
v = (-2, -1)
w = (-6, 6)
(5, 0) + 3(-2, -1) - 1/2(-6, 6)
= (5, 0) + (-6, -3) + (3, -3)
= (2, -6)
Which statement best describes how to determine whether f(x) = x2 - x + 8 is an even function?
CU
O Determine whether –x2 - (-x) + 8 is equivalent to x2 – X + 8.
Determine whether (-x)2 – (-x) + 8 is equivalent to x2 – X + 8.
O Determine whether -x2 - (-x) + 8 is equivalent to -(x2 - X + 8).
O Determine whether (-x)2 – (-x) + 8 is equivalent to -(x2 – X + 8).
THIS IS 60 POINTS BTW
Answers
Answer:
2nd option
Step-by-step explanation:
If f(x) is an even function , then
f(x) = f(- x)
f(x) = x² - x + 8
f(- x) = (- x)² - (- x) + 8 = x² + x + 8
Since f(x) ≠ f(- x) then f(x) is not an even function
find the length of one side of a regular hexagon if its perimeter is 24 x+48
A. 3x+3
B. 6x+12
C. 4x+8
D. 8x+16
Answers
Answer:
C ) 4 x + 8
Step-by-step explanation:
( 24 x + 48 ) / 6
4 x + 48
The length of a regular hexagon is:
4x ₊ 8
How many sides do a hexagon have? How do we calculate the length and parameter of it?
A regular hexagon have six sides.
The area of a regular hexagon can be calculated using the formula (33 s2)/2, where s is the side length. The lengths of all six sides of a hexagon can be added to determine its perimeter. Perimeter = 6 s, where s is the length of one side, is the formula used to determine the size of a regular hexagon.
Solution:
Given,
parameter of a hexagon = 24x ₊ 48
length of one side of a hexagon s = p ÷ 6
s = 24x ₊ 48 ÷6
s = 4x ₊ 8
Hence we get the length of one side as 4x ₊ 8
Learn more about "shapes" here-
brainly.com/question/25965491
#SPJ2
Provide a rule to describe the relationship between the number in the sequence
1,4,9,16
Answers
Answer:
add 3, add 5, add 3
Step-by-step explanation:
1, 4, 9, 12
add 3, add 5, add 3
Answer:
x^2
Step-by-step explanation:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
And so on.
So, the rule is x^2.
What is the perimeter of the following figure
Answers
Answer:
13
Step-by-step explanation:
7 cm +1 cm +2cm +2cm :12cm
Find the value of 3w-10 given that -11w-4=7.
Simplify your answer as much as possible.
Answers
Answer:
-13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-11w - 4 = 7
3w - 10
Step 2: Solve for w
[Addition Property of Equality] Add 4 on both sides: -11w = 11[Division Property of Equality] Divide -11 on both sides: w = -1Step 3: Evaluate
Substitute in w: 3(-1) - 10Multiply: -3 - 10Subtract: -13line r passes through on the same spot on the y axis as line z and also passes through the point (1,4). If the equation for line z is y= -2x + 3, what is the equation of line r
Answers
Answer:
r= x + 3
Step-by-step explanation:
They share the same y intercept so we can know the vertical shift up. The Y intercept of line z would be 3, so line r would share the intercept too. From this we can find that the slope would be one since moving one unit to the right also makes the equation go 1 unit up, from (0,3) to (1,4). This would mean that the equation of line r is r= x + 3
PLEASE HELP ASAP ON THESE TWO QUESTIONS BLESS YOUR HEART IF YOU HELP ME 9) Look for two points and find the sloope.
10) Plot the given points and find the slope.
Answers
Answer:
the two points are (-3,-3
Step-by-step explanation:
You must first check if the line is a straight line two the you check the intersection of the two points and the write it
Use similar triangles to determine the equation of the line with a slope of 1/2 that passes through the point (0,2)
Answers
Answer:
The answer is (A)
Step-by-step explanation:
can someone help me pls
Answers
it's easy look at the example for reference
The diameter of your bicycle wheel is 25 inches. How far will you move in one turn of your
wheel?
a) 25 in
b) 78.5 in
c) 250 in
d) 246.49 in
e) 50 in
Answers
Answer:
b) 78.5
Step-by-step explanation:
distance you will move = circumference of wheel = πd = π(25) = 78.53981
What is the result of substituting for y in the bottom equation?
y=x-7
y=2+2x-4
Answers
Answer:
Plug x-7 in for y, in the bottom equation.
x - 7 = 2 + 2x - 4
x - 7 = 2x - 2
x = 2x + 5
-x = 5
x = -5
Parker is planning to build a playhouse for his sister.The scale model below gives the reduced measures for width and height. The width of the playhouse is 22 centimeters and the height is 10 centimeters. Not drawn to scale The yard space is large enough to have a playhouse that has a width of 3.5 meters. If Parker wants to keep the playhouse in proportion to the model, what cross multiplication of the proportion should he use to find the height
Answers
Answer:
[tex]10 \times 3.5 = 22x[/tex]
Step-by-step explanation:
It is given that:
Parker wishes to construct a [tex]\text{playhouse}[/tex] for his sister. The width and the height of the house is not scaled to the yard space.
So the width of the play house = 22 centimeters
The height of the play house = 10 centimeters
Bu the space in the [tex]\text{yard is large}[/tex] enough that a play house can be constructed so that it have a width of [tex]3.5[/tex] meters.
So the cross multiplication of the proportion that parker uses to find the height of the playhouse is given by : [tex]10 \times 3.5 = 22x[/tex]
Answer:
The answer is C, (10) (3.5) = 22 x
Hope this helped!
P. S. : Can I get brainliest please?
Solve for U 11+15u=-7+13u
Help fast please
Answers
Answer:
-9
Step-by-step explanation:
11+15u=-7+13u
or, 15u-13u = -7-11
or, 2u = -18
or, u = -9
Answered by GAUTHMATH
The distance between points A(0,1) and B(x, 4) is p
34. Find the x coordinate for point B.
Answers
Answer:
X = (P^2 - 9) ^ 1/2
Step-by-step explanation:
P^2 = (4 - 1)^2+ (0 -X)^1/2
complete the table
x - 2 7 10
y - 30 36
Answers
Answer:
x-15
y 42
Step-by-step explanation:
Match the range of the function f(x) = x2 + 2x − 1 to its domain.
2 -2 3 -3
2 --
14 --
7 --
-1 --
Answers
Answer: (2,7) (-2,-9) (3,11) (-3,-13)
Step-by-step explanation:
(2)(2)+(2)(2)-1 = 7
(2) (-2)+(2)(-2)-1 = -9
(3)(2)+(2)(3)-1 = 11
(-3)(2)+(2)(-3)-1 = -13
Which of the following is the most direct first step in solving the system of equations be-
low using the elimination method?
x + y = 4
2x - y = 2
That is, which of the following would be the first step in a method that would require the
fewest number of steps?
A
multiplying the second equation by -2
B
adding the two equations together
С
multiplying the first equation by -2
D
multiplying both equations by 2
Answers
Step-by-step explanation:
Multiply each equation by a suitable number so that the two equations have the same leading coefficient. Step 2: Subtract the second equation from the first. Step 3: Solve this new equation for y. Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
A shopkeeper marks his goods 25% above the cost price and gives discount of 10% on the marked price white gain percent make
Answers
answer is 6.3
I've had this question before
