Answer:
The inverse is 1/3x-2
Step-by-step explanation:
y = 3x+6
Exchange x and y
x = 3y+6
Solve for y
Subtract 6 from each side
x-6 = 3y+6-6
x-6 = 3y
Divide by 3
x/3 -6/3
1/3x -2 = y
The inverse is 1/3x-2
Answer:
[tex]f^{-1} (x)=\frac{1}{3}x-2[/tex]
Step-by-step explanation:
Replace f(x) with y
y=3x+6
Swap x and y
x=3y+6
Solve for y
3y=x-6
y=1/3x-2
Find the volume of this square
based pyramid.
10 cm
8 cm
8 cm
V = [?] cm3
Answer:
213.3
Step-by-step explanation:
The volume of a pyramid is 1/3 base times height.
Using this formula, our square base is 8*8, or 64 square units.
Multiplying that by the height, 10. We get 64*10, 640.
Finally dividing by 3, we have 213.3333333333...
Rounding that to the nearest tenth, 213.3.
The volume of the given square pyramid is 480 cubic centimeter.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, Slant height of pyramid is 10 cm and base is 8 cm.
The volume of square based pyramid =a²h/3.
Now, volume = (8²×10)/3
= 213.33 cubic centimeter
Therefore, the volume of a square pyramid is 213.33 cubic centimeter.
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This year, a small business had a total revenue of $42,900 . If this is 35% less than their total revenue the previous year, what was their total revenue the previous year?
if this value 35% less than the total, we conclude that:
42,900 = 65%
1% = 660
100% = 66,000
if you want to check the value, just do 65% of 66000, which equals to 42,900
hope it helps :)
what is the length of side s of the square
Answer:
since each side of a square is the same it can simply be the length of one side squared. if a square has one side of 4 inches ,the area would be 4 inches times 4 inches,or 16 square inches
Construct a function with a rate of change of 1/3 and an initial value of -3.
(put your equation in slope-intercept form y = mx +b)
So you pretty much have all you need. 1/3 represents slope, and slope is m. Initial value would be your y intercept which is b.
y=1/3x-3
Answer:
y = x/3 - 3
Step-by-step explanation:
x/3 is the equivalent of 1/3(x)
ac circular runway has a radius of 100 m.Find the distance covered by a person in one complete rotation .
Answer:
628m
Step-by-step explanation:
Given radius=100m
distance=circumference
=2pie r
=2×22/7×100
=628m
please mark me brainliest
PLEASE HELP ME!!! It’s due before 7pm
Step-by-step explanation:
Solution:Total length of the board=95 cm
:One piece must longer 13 cm than other piece
Equation:95cm=X+X+13cm
:95cm-13cm=2x
:82cm=2x
:X=41 cm-Length of the smaller piece
:X=41cm +13cm=54cm-Length of the larger piece
Therefore the length of the smaller piece is 41cm and the length of the larger piece is 54cm.
Match the part of the circle to its correct name.
Answer:
a. major arc
b. minor arc
c. semi circle
d. central angle
write in simplest form :
36 minutes to 3/2hrs
Answer:
⅗hrs
Step-by-step explanation:
1hr =60 min
? = 36 min
cross-multiply .........
36 min × 1hr/60 min= 36min/60min × 1hr
=36/60 × 1 hr
= ⅗hrs
Find the values of x and y that make these triangles congruent by the HL Theorem.
HELLLP ASAP FIRST PERSON WITH CORRECT ANSWER WILL RECEIVE BRAINLIEST
Lines l and m are perpendicular. A point Q has this
property: rotating Q 180 degrees using center P has the
same effect as reflecting Q over line m.
a. Give two possible locations of Q.
b. Do all points in the plane have this property?
Answer:
Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M
Step-by-step explanation:
Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M and this is because Lines L and M are perpendicular lines ( i.e. lines that meet a right angle ( 90° ).
Please Help!!!!!!!
Janet is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the
probability that Janet will get a blue or yellow marble on the first draw and a pink on the second draw?
(3 green, 4 yellow, 5 blue, 8 pink)
7/50
9/50
17/40
(Answer:
P(Bl or Yl) = 45%
(Pk on 2nd draw) = 18%
Step-by-step explanation:
There are a total of 20 marbles (3 + 4 + 5 + 8) in the bag. Since each marble is replaced once drawn, there is no change in the total count from one draw to another (unconditional probability).
So
P(Bl or Yl) = (5 + 4)/20 = 9/20 = .45 = 45%
Then
P(Pk on 2nd draw) = P(1st draw) * P(2nd draw)
= 9/20 * 8/20 = 72/400 = 9/50 = .18 = 18%
Find the image of the given point
under the given translation.
P(-7,1) T(x,y) = (x + 9, y-3)
P' = ([?], []).
Answer:
P' = (2, -2)
Step-by-step explanation:
You have the x-value and the y-value of the pre-image, so all you have to do is plug that into the translation statement (x + 9 , y - 3).
Since x = -7 and y = 1 that would be (-7 + 9, 1 - 3), or (2, -2).
Can someone please help me on these 4 questions PLEASE HELP ME!!
Answer:4 ans x is -32/10
7 ans b is 6
10 ans x is 25/7
13 ans x is 9/2
Step-by-step explanation:
please mark this answer as brainlist
What is the y-intercept of the line shown?
1
0
10
2
4
-10
ОО
01
03
3.5
Answer:
y-intercept = 3
Step-by-step explanation:
value that's on the y - axis
Solve for x.
3x + 2
2x + 6
x = [?]
Answer:
4
Step-by-step explanation:
Im assuming you mean the first and second equation equal each other:
3x+2=2x+6
x=4
sunayana borrowed a sum of rs 12,500 at 12% per annum simple interest for 1 year and 6 months and lent to bishwant at the same rate of compound interest compounded half yearly for the same interval of time. how much profit did she make?
Answer: Rs 137.70
============================================================
Explanation:
6 months = 1/2 year = 0.5 year
1 year, 6 months = 1 yr + 0.5 yr = 1.5 years
Sunayana borrows Rs 12,500 at 12% annual interest for 1.5 years
The amount simple interest she must pay back is
i = p*r*t
i = 12500*0.12*1.5
i = 2,250
The amount of simple interest she must pay back is Rs 2,250 which is on top of the principal Rs 12,500
The total amount she must pay back is p+i = 12,500+2,250 = 14,750
Let x = 14,750 so we can use it later.
--------------
She lends that Rs 12,500 to her friend and this amount is compounded half yearly, aka semiannually. So we'll use n = 2.
The amount Bishwant must pay back to her is
A = p*(1+r/n)^(n*t)
A = 12500*(1+0.12/2)^(2*1.5)
A = 14,887.70
Let y = 14,887.70 so we can use it later.
--------------
Subtract the values of y and x to get the profit she makes
profit = revenue - costs
profit = y - x
profit = 14,887.70 - 14,750
profit = 137.70
The profit is Rs 137.70
what is the measure of angle A
Answer:
a = 53
Step-by-step explanation:
Start with d
The ends of d + 53 are diameter ends. That means that d + 53 is a right angle
d + 53 = 90
d = 90 - 53
d = 37
Next, find b. The end points of b are the same end points as for 53 degrees. B is the central angle of 53 which means b = 2 * 53
b = 106
c is the supplement of b
c + b = 180
b = 106
c + 106 = 180
c = 180 - 106
c = 74
The triangle containing a and c is isosceles because 2 of the 3 angles are opposite radii. The lowest angle is also a because it is opposite one of the radii.
a + a + 74 = 180
2a = 180 - 74
2a = 106
a = 106/2
a = 53
Hard to believe, but there it is.
If p (x) = x4 + 2x2 + 1 and q (x) = x4 – 2x2 + 1, find p (x) -q (x).
Answer:
the answer is 4x2
Step-by-step explanation:
p(X)-q(X) = x4 + 2x2 + 1 - ( x4 - 2x2 + 1 )
p(X)-q(X) = x4 + 2x2 + 1 - x4 + 2x2 - 1 )
p(X)-q(X) = 2x2 + 2x2
p(X)-q(X) = 4x2
Answer:
p(x) - q(x) = 4x²
Step-by-step explanation:
p(x) - q(x)
= [tex]x^{4}[/tex] + 2x² + 1 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute parenthesis by - 1
= [tex]x^{4}[/tex] + 2x² + 1 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms
= 4x²
Three dressers are placed side by side. One dresser is 5 feet 5 inches wide, another is 5 feet 10 inches wide, and the third is 3 feet 11 inches wide. How wide are they combined?
Answer:
15 feets 2 inches
Step-by-step explanation:
Given the widths :
1st dresser = 5 feets 5 inches
2nd dresser = 5 feets 10 inches
3rd dresser = 3 feets 11 inches
Their combined width is :
5ft + 5ft + 3 ft + 5in + 10in + 11in
13 feets 26 inches
Recall :
1 foot = 12 inches
26 inches = 26/12 feets = 2 feets 2 inches
Hence,
13 feets + 2feets 2 inches
Combined width = 15 feets 2 inches
Consider the functions F and G in the tables below
PLEASE HELP PLEASE
Answer:
Option A, As x increases, the rate of change exceeds the rate of f
Question 4 of 10
What are the end behaviors of f(x) = -2(x -17)4?
A. The left end goes down; the right end goes up.
B. The left end goes up; the right end goes down,
C. Both ends go down
D. Both ends go up.
SUBMI
Answer:
Both ends go down
Step-by-step explanation:
The end behavior of the function are Both ends go down. Therefore, Option C is true.
Given that,
The function is,
[tex]f (x) = - 2 (x - 17)^4[/tex]
Now the given function is defined at x → ∞,
f (x) = - 2 × ∞
f (x) → - ∞
As x goes to -∞
f(-∞) = -2(-∞)⁴
= -2 (∞)
= -∞
So, Both ends go to -∞, or go down
Hence, The end behavior of the function are Both ends go down.
Therefore, Option C is true.
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what is the total cost
Answer:
Step-by-step explanation:
We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?
C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,
C = (3.14)(26) so
C = 81.64 m for a whole circle, and for half of that circle, the circumference is
C = 40.82 m
Now we can find the perimeter of the rink:
40.82 + 61 + 26 + 61 = p so
p = 188.82 m
If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is
[tex]cost=\frac{6.20dollars}{meter}*188.82meters[/tex]. The label "meter" cancels out, leaving us with
cost = $1170.82
If a = x+21, b = 4, c = x + 3, and d = 10, then the value of x =
Using the intersecting chord theorem:
a x b = c x d
x+21 * 4 = x+3 * 10
Simplify:
4x+84 = 10x+30
Subtract 30 from both sides:
4x + 54 = 10x
Subtract 4x from both sides:
54 = 6x
Divide both sides by 6:
x = 9
Answer:
x=9
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
ab = cd
(x+21) *4 = (x+3)*10
Distribute
4x+84=10x+30
Subtract 4x from each side
84 = 10x-4x+30
84 = 6x+30
Subtract 30 from each side
54 = 6x
Divide by 6
54/6 = 6x/6
9=x
Ken needs a surgery on his foot. The estimated cost of the surgery is $5,000. The insurance policy provided by Ken's company has $500 deductible and 20% co-pay. How much will Ken have to pay for foot surgery?
9514 1404 393
Answer:
$1400
Step-by-step explanation:
Ken will be required to pay the deductible and 20% of the remaining amount.
Ken pays $500 + 0.20(5000 -500) = $500 +900
Ken pays $1400
The number of bags of Brand Y dog food sold on these five days was 175. Which bar represents the data for Day 5 for Brand Y?
Answer:
30
Step-by-step explanation:
6 + 9 - 5 x 10 ÷ 5 + 1/2 of (90 - 25 + 5) =
Answer:
40
Step-by-step explanation:
B I D M A S
(90 - 25 + 5) = 70
1/2 x 70 = 35
10 ÷ 5 = 2
5 x 2 =10
6 + 9 = 15
15 - 10 = 2
.... cba
please help!! geometry also might ask another question in the comments so be able to answer and I’ll mark you brainliest later :)
Coordinate of D: (2, -2)
Multiply x and y by 0.5
Answer: D = (1, -1)
Can someone help me on any of the problems that are circled
HELP THANKS SO MUCH BRAIN FOR CORRECT
Answer:
i think the answet is 0.625
16 - 2r = 3r + 6r + 1
what is r?
[tex]\\ \sf\longmapsto 16-2r=3r+6r+1[/tex]
[tex]\\ \sf\longmapsto 16-2r=9r+1[/tex]
[tex]\\ \sf\longmapsto 16-1=9r+2r[/tex]
[tex]\\ \sf\longmapsto 11r=15[/tex]
[tex]\\ \sf\longmapsto r=\dfrac{15}{11}[/tex]
Answer: r = 15/11
Step-by-step explanation:
Given
16 - 2r = 3r + 6r + 1
Combine like terms
16 - 2r = 9r + 1
Add 2r on both sides
16 - 2r + 2r = 9r + 1 + 2r
16 = 11r + 1
Subtract 1 on both sides
16 - 1 = 11r + 1 - 1
15 = 11r
Divide 11 on both sides
15 / 11 = 11r / 11
[tex]\boxed{r=\frac{15}{11} }[/tex]
Hope this helps!! :)
Please let me know if you have any questions
