Answer:
sqrt(1/2x+6) = h^-1 (x)
Step-by-step explanation:
To find the inverse, we exchange x and y and then solve for y
y = 2x^2 -12
Exchange x and y
x = 2y^2 -12
Solve of y
Add 12 to each side
x+12 = 2y^2
Divide by 2
(x+12) /2 = 2y^2/2
(x+12)/2 =y^2
1/2 x+6 = y^2
Take the square root of each side
sqrt(1/2x+6) = sqrt(y^2)
sqrt(1/2x+6) = y
This is the inverse
Okay, So you have 24x+25=6y+7
Step 1: Pull out like factors : 24x + 18 + 6y = 6 • (4x + y + 3)
Step 2: 4x+y+3 = 0
y-intercept = -3/1 = -3.00000
x-intercept = -3/4 = -0.75000
Slope = -8.000/2.000 = -4.000
And bam, you have a straight line
Answer:
6 fingers
Step-by-step explanation:
Let X = the base of the numbers above
If X > 0
Then we have:
325 = 3 * X² + 2 * X¹ + 5 * X°
325 = 3X² + 2X + 5
42 = 4*X¹ + 2*X°
42 = 4X+ 2
And
411 = 4*X²+ 1*X¹ 1*X°
42 = 4X² + X + 1
Since 325 + 42= 11 then
3X² + 2X + 5 + 4X+ 2 = 4X² + X + 1 ------ Collect Like Terms
3X² - 4X² + 2X + 4X - X + 5 + 2 - 1 = 0
-X² + 5X + 6 = 0 ------- Multiply both sides by -1
X² - 5X - 6 = 0 ------- Factorise the Equation
X² - 6X + X - 6 = 0
X(X - 6) + 1( X - 6) = 0
(X + 1)(X - 6) = 0
X + 1 = 0 or X - 6 = 0
X = -1 or X = 6
But X>0
So, X =-1 is invalid
X = 6
The expected number of fingers of the Martian is 6
Answer:
It will cost Jane $21.00
Step-by-step explanation:
As, cost of 1 chocolate = x
The cost of 1 packet of chips = $3 + x
So no. Of 2 chocolate bars = x + x = 2x
And no. Of packet of chips = ($3+x) + ($3+x) + ($3+x) = 3(3+x) = 9+3x
So now = cost Of chocolate + cost of chips = $19
So = 2x + 9+3x = 9 + 5x
So 9 + 5x = $19
So 5x = $19 - 9 = $10
So 5x =10
x = 10/5
x = 2
So cost of 2 chocolate = 2x = 2($2) = $4
And 3 chip packet = 9+3x = 9+3($2) = 9+6 =$15
So now total = $4 + $15 = $19
Now for John = 2 chocolates and 3 packets of chips = $19
Now for Jane she has 3 chocolates and 3 packets of chips, so she has one more chocolate amd now we know that 1 chocolate = $2
So we will just add one more chocolate
So Jane will pay = $ 19 + $2 = $21
So it will cost Jane = $21:00
