Answer:
The unknown number is 90
Step-by-step explanation:
This question requires a good understanding so as to interprets it well
And always ensure that all symbols used in representation are well stated so as to help the examiner or anyone who will mark it to understand better
So back to the question,let the unknown number be x
And two thirds of the unknown number is 2/3x
2/3x was decreased by 20 which can be written as 2/3x-20
And this decrease gives 40
That's,2/3x-20=40
Then go ahead to solve the question
Start by finding the LCM and the LCM is 3
2x-60/3=40
Cross multiply
2x-60=40×3
2x-60=120
Collect like terms by adding 60 to both sides
2x=180
Divide both sides by 2
x=90
Therefore the final answer is 90
<span>1,2,3,4,6,8,9,12,16,18,24,36,48,72,144,
</span>
Using row 4:
<span>coefficients are: 1, 4, 6, 4, 1 </span>
<span>a^4 + a^3b + a^2b^2 + ab^3 + b^4 </span>
<span>Now adding the coefficients: </span>
<span>1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + 1b^4 </span>
<span>Substitute a and b: </span>
<span>a = 4x </span>
<span>
b = -3y </span>
<span>1(4x)^4 + 4(4x)^3(-3y) + 6(4x)^2(-3y)^2 + 4(4x)(-3y)^3 + 1(-3y)^4 </span>
<span>Now simplify the above: </span>
<span>256x^4 - 768x^3y + 864x^2y^2 - 432xy^3 + 81y^4 </span>
Answer:
D
Step-by-step explanation:
Well it is Friday so its 8.5 each ride.
8.5r which is basically how many rides she can go on after spending 125 on the admission
Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:
Substitute the given points we have;
⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.
