Answer:
1/3x +2/3 = y
Step-by-step explanation:
y= 3x-2
To find the inverse, exchange x and y
x = 3y-2
And solve for y
x+2 = 3y-2+2
x+2 = 3y
Divide by 3
1/3(x+2) = 1/3(3y)
1/3x +2/3 = y
Find three consecutive odd integers such that the product of the second and the third integers is twenty-six more than three times the first integer.
Step-by-step explanation:
first number=x
second number=x+2
third number=x+4
(x+2)(x+4)=3x+26
x(x+4)+2(x+4)=3x+26
x²+4x+2x+8=3x+26
x²+6x+8=3x+26
x²+6x-3x=26-8
x²+3x=18
x²+3x-18=0
you can use that to find the numbers
Answer:
6, 8 and 10
Step-by-step explanation:
Let the 3 consecutive odd numbers be x, x+2, x+4
product of the second and the third integer
(x+2)(x+4)
twenty-six more than three times the first integer is expressed as;
3x + 26
Equate
(x+2)(x+4) = 3x + 26
x²+4x+2x+8 = 3x + 26
x²+6x +8= 3x+26
x²+3x +8-26 = 0
x²+3x-18 = 0
Factorize
x²-6x+3x-18 = 0
x(x-6)+3(x-6) = 0
x+3 = 0 and x-6 = 0
x = -3 and 6
The first 3 number is are 6, 8 and 10
Find the area of the circle if the square has an area of 900in^2. Give your answer in terms of 3.14 or pi
Answer:
450in^2
Step-by-step explanation:
square root of 900 is 30.
Each side of square is 30.
Each side of a triangle formed by drawing a radi in the square is 15 in.
The hypotenuse is 15[tex]\sqrt{2}[/tex] that is also the radius of the circle.
A= (15[tex]\sqrt{2}[/tex])^2 times pi = 450 in^2
Factor this trinomial completely.
2x2 + 10x + 8
A. 2(x+4)(x + 1)
B. 2(x + 4)(x - 1)
C. 2(x - 4)(x - 1)
D. 2(x 7,4)(x + 1)
Answer:
[tex]{ \tt{2 {x}^{2} + 10x + 8 }} \\ { \tt{ = (x + 1)(x + 4)}}[/tex]
Answer:
A. 2 ( x + 4 )( x + 1 )
Step-by-step explanation:
2x² + 10x + 8
factor out 2 from the equation
2 ( x² + 5 x + 4 )
write 5x as a sum and rewrite the expression
2 ( x² + 4x + x + 4 )
factor out x from the equation
2 ( x ( x + 4 ) + x + 4 )
factor out x + 4 from the equation
2 ( x + 4 ) ( x + 1 )
6th grade math help me pleaseeee
Answer:
The answer is $38115
Step-by-step explanation:
Because I have the smarts
A regular hexagon abcdef is shown. Work out the size of angle x
Please help
Answer:
30
Step-by-step explanation:
cause the angles in a hexagon should add up to 720degrees(area) which means each angle in a hexagon is 120.
Angles in a triangle add up to 180
we know that A is 120 and the angles of F and B are equal (this is an assumption) so 180-120=60 then 60/2 (because we have 2 angles) 30
So X=30
(sorry if the answer is incorrect)
Answer:
30
(6-2)(180)/6
=120
∆FAB=180°
180-120=60
x=60/2
=30
Calculate the book value of a new maxi taxi costing $44000 after 5 years if it depreciates each year by 13% a. $22,930.52 b. $21,930.52 c. $23,930.52
Answer:
A=$21930.52
Step-by-step explanation:
Given data
Principal =44000
Time =5years
Rate of depreciation =13%
The expression for the depreciation is
A=P(1-r)^t
Substitute
A=44000(1-0.13)^5
A=44000(0.87)^5
A=44000*0.4984209207
A=21930.52
what is the answer to 15y − 1 = 11/2y + 2
Answer:
y= 6/19
hope it helps
what is the value of k in which the expression k-22=13-61
what are the steps to this?
Answer:
Start at the positive
x
-axis, then rotate left by the desired angle.
Explanation:
Standard position means the first arm of the angle is the positive
x
-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.
As a basic example, the symbol
∠
is about a 45° angle in standard position.
To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.
If our angle was 90°, the terminal arm would be on the positive
y
-axis.
If our angle was 180°, it would be on the negative
x
-axis.
Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.
graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}
(ignore the part of the line in quadrant 4)
Step-by-step explanation:
A newborn baby weighed 133 ounces.
What is the baby's weight in pounds and
ounces? (1 pound = 16 ounces)
Answer: UHHHHH i shall halp ya
Step-by-step explanation:
if its 133 in ounces its 293.215 in pounds
Answer: 8 pounds and 5 ounces
Step-by-step explanation: Do 16 ounces divided by 2 and it will give you 8 or do 8 times 2 which will give you sixteen. I prefer you do the other way and then do 10 dividedy2to get 5 ounces. The cop is 2.
Quadrilateral MNOP below is a trapezoid. Use the figure to select the best answer from the choices provided
If HG = 6 and PO = 8, what is the length of MN?
A. 4
B. 7
C. 10
D. 14
Answer:
A. 4
Step-by-step explanation:
HG = 6,
PO = 8
HG = ½(PO + MN) => Trapezoid Mid-segment Theorem
Plug in the values into the equation
6 = ½(8 + MN)
Multiply both sides by 2
2*6 = 8 + MN
12 = 8 + MN
12 - 8 = 8 + MN - 8 => Subtraction Property of Equality
4 = MN
MN = 4
Answer:
i think it is 4 because it is lowering by 2 from po-8 to hg-6. my answer: mn-4
Step-by-step explanation:
PLEASE HELP!!!! i need this done tonight and i dont know how to do it
Answer:
x=-2/3
Step-by-step explanation:
So let's start off with adding 4x on both sides, we add them to cancel out the -4x on the right hand side.
4x+-9x=-5x
Now, as for the fractions all we really gotta do here is add and subtract them. Let's subtract 5/6 on both sides. once we do that we get:
2/3+7/2-5/6=-5x
A quick trick for adding and subtract fractions is to cross multiply.
2/3+7/2
Multiply 3 times 7 and 2 times 2, then we'll multiply 3 times 2 to get a denominator.
3*2=6 (our denominator)
3*7=21
21/6
2*2=4/6
21/6+4/6=
25/6
Awesome! Now we have two like denominators so we don't have to do any additional cross multiplying. So, we can subtract 25/6-5/6=20/6.
Now, all we're left with is:
20/6=-5x
We can multiply 6 on both sides to isolate the 20.
20=-30x
Divide -30 on both sides!
x=-2/3
Hope this helps!
7.2 cm
6 cm
15 cm
8 cm
Answer:
i need to know the answer or the question plz
Cho số phức z , w thỏa mãn |z-3-i | = 1 và | w-1 | = |w+i |. Giá trị nhỏ nhất của P = | w+1 - 3i | + | w -z | bằng?
The midpoint of AB is M(- 2, 1) . If the coordinates of (1, - 2) , what the coordinates of B?
Answer:
(-5, 4)
Step-by-step explanation:
Finding the X of B
-2 = x2+x1/2
-2 = x2+1/2 (substituted X co-ord of A into x1)
-4=x2+1 (multiplied both sides by 2)
-5=x2 (brought 1 to the other side)
Finding the Y of B
1 = y2+y1/2
1 = y2 - 2/2 (substituted Y co-ord of A into y1)
2 = y2 -2 (multiplied both sides by 2)
4 = y2 (brought 2 to the other side)
Write an example for binomial of degree 999.
Answer:
x⁹⁹⁹ + 1
Step-by-step explanation:
a binomial is a polynomial that is the sum of two terms
x⁹⁹⁹ + 1
someone help!!!!!!!!
Answer:
Top right
Step-by-step explanation:
First, we have "h is increasing on the interval (3, +∞)." This means that h must be increasing for all values 3 and higher. This is shown on the top left, top right, and bottom right graphs because when x goes up on each of them, the function increases as well. However, for the bottom left graph, this is not shown because as x goes from 3 to 4, the function decreases.
Next, the statement given is "h(4)=2". This means that when the x value is 4, the y value is equal to 2. This is true for the top left and top right pictures. However, for the bottom right, as the x value is 4 on the x axis, the corresponding y value is 1, not 2.
This leaves us with the top left and top right. The final characteristic given is "The domain of h is [3, +∞). This means that the x values of said function only go from 3 to infinity. As the top left graph has values of x below 3, this leaves the top right graph as h
Order these equations by the value of x, starting with the smallest.
7x + 21 = 5x + 35
x + 5 = 3x - 1
5x + 5 = 6x - 5
TYYY
Answer:
x + 5 = 3x -1
7x + 21 = 5x + 35
5x + 5 = 6x - 5
Step-by-step explanation:
7x+21=5x+35
-5x -5x
2x+21=35
-21 -21
2x=14
÷2 ÷2
x=7
x+5=3x-1
-x -x
5=2x-1
+1 +1
6=2x
÷2 ÷2
x=3
5x+5=6x-5
-5x -5x
5=x-5
+5 +5
x=10
Hope this helps! :)
(will give brainliest!)
Given the triangle below, which of the following is a correct statement?
a. sec∠B=3/7
b. cot∠B=3/2
c. sec∠B=7/3
d. cot∠C=1/2
Answer:
D) cot(C) = 1/2.
Step-by-step explanation:
We can go through each choice and examine is validity.
Choice A)
We have:
[tex]\displaystyle \sec B=\frac{3}{7}[/tex]
Recall that secant is the ratio of the hypotenuse to the adjacent.
With respect to B, the adjacent is 6 and the hypotenuse is 7.
Therefore, sec(B) should be 7/6 instead.
A is incorrect.
Choice B)
We have:
[tex]\displaystyle \cot B=\frac{3}{2}[/tex]
Cotangent is the ratio of the adjacent side to the opposite.
With respect to B, the adjacent side is 6 and the opposite side is 3.
Therefore, cot(B) = 6/3 = 2.
B is incorrect.
Choice C)
C is incorrect for the reasons listed in A.
Choice D)
We have:
[tex]\displaystyle \cot C=\frac{1}{2}[/tex]
Again, cotangent is the ratio of the adjacent side to the opposite.
With respect to C, the adjacent side is 3 and the opposite side is 6.
So, cot(C) = 3/6 = 1/2.
Therefore, D is the correct choice!
Please help me i need someone to help!
Answer:
so to do this we basicely just go through and substitute the anser in and see if it works.
60+10=70
60-10=50
NO
50+20=70
50-20=30
RIGHT
so the answer is the second one
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Use the explicit formula an = a1 + (n-1)•d to find the 500th term of the sequence below.
24, 31, 38, 45, 52, ...
Step-by-step explanation:
the answer is in the image above
Answer:
a₅₀₀ = 3517
Step-by-step explanation:
a₁ represents the first term and d the common difference
Here a₁ = 24 and d = 31 - 24 = 7 , then
a₅₀₀ = 24 + (499 × 7) = 24 + 3493 = 3517
The equation of the circle having center (5, 4) and touching y-axis is
A. x 2 + y2 – 10x – 8y + 25 = 0
B. x 2 + y2 – 5x + 4y + 8 = 0
C. x 2 + y2 – 5x + 4y + 8 = 0
D. x 2 + y2 – 42 – 5y + 10 = 0
Answer:
None Of the Above.
Step-by-step explanation:
As we know that the general equation of circle is
( x - h )^2 + ( y - k )^2 = r^2
putting h=5 and k= 4 and r= 5
x² + 25 - 10x + y² +16 - 8y = 25
x² + y² - 10x - 8y + 16 = 0 is the answer.
I got this answer from Gauthmath its a really cool new app having solutions from tutor. Just scan questions and you can get answers from tutor.
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Help me thanks bsbsbs
Answer:
4.56, 4,65, 5,46, 5.64, 6.45 and 6.54
Step-by-step explanation:
start with the whole number and find the smallest one!
It would be 4 then find the number with the smallest amount
Keep doing this to all of the numbers
If ABCD is a parallelogram,what is the value of x?
answers
a.) 46
b.) 82
c.) 38
d.) 44
e.) 69
f.) 37
Answer:
D.44
Step-by-step explanation:
i hope its help for you po
Saw a board 5 ft 1 in. Long into six equal pieces. If the loss per cut is 1/5 in., how long will each piece be?
Answer:
The length of each piece is 0.833 ft.
Step-by-step explanation:
Length of board, L = 5 ft 1 inch
loss per cut = 1/5 inch
The board should be cut by 5 times to get the 6 pieces.
The loss in 5 cuts = 5 x 1/5 = 1 inch
So, the length of each piece is
[tex]L' =\frac{5 ft 1 in - 1in }{6}\\\\L' =\frac{5}{6}\\\\L' = 0.833 ft[/tex]
The length of each piece is 9 13/15 inches.
What is the length of each piece?The first step is to determine the length of the board in inches. In order to do this, feet should be converted to inches.
1 feet = 12 inches
(12 x 5) + 1 = 61 inches
Total losses of the 6 cuts = 1/5 x 6 = 6/5 = 1 1/5 inches
Total length left = 61 inches - 1 1/5 inches = 59 1/5 inches
Length of each board = 59 1/5 ÷ 6
296 / 5 x 1/6 = 296 /30 = 9 26/30 = 9 13/15 inches
To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
Here's a little something that will tease your brain. I doubt someone will answer this
Answer:
500ml orange juice is the most cost effective
Classify the following triangle. Check all that apply.
Answer:
Option(B) & Option(C)
Step-by-step explanation:
Right angled triangle (One angle is 90 degree)
Isosceles(Two sides of triangle are equal)
please help :(
simplify (5^1/6)^6
A. 5^36
B. 1/5
C.5
D.5^6
Answer:
the correct answer is C.5
Step-by-step explanation:
(5^1/6)^6=5
What percent is represented by the fraction 6/ 4?
Answer:
150%
Step-by-step explanation:
divide 6 by 4 then multiply by 100 to get 150%. :)