Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Answer:
an independant variable dosent depend on any thing and a dependant variable depends on
if you rode a paddle boat for 30 min it cost 10 dollars
the 30 min is the independant variable and the 10 dollars is the dependant variable bc if u wanted to ride for longer than 30min you will have to pay more money therefore the cost depends on the time and time is independent bc the dosent depend on anything
Vertical asymptotes occur when the denominator of a rational is 0, whilst not zeroing out the numerator, making the rational, undefined, in this case
Answer:
y=2x+5
Step-by-step explanation:
To find a linear equation you must find the slope and y intercept to create an equation in y=mx+b form (slope-intercept form)
So slope is = y2-y1 / x2-x1 [2 and 1 are subscripts] so 11-7/3-1 so m=4/2 = 2
Slope = 2, now find b
So using y = mx + b, substitute what you know so 7 = 2(1) + b so b=7-2 = 5
Put it all together y = 2x + 5
First you put the numbers in this form:
11 Bagels = $9.57
________ _______
? Bagels = $3.52
Now they look like fractions but you have to cross multiply them like this: 11 x $3.52 which makes $38.72 then you divide $38.72 by $9.57 which makes the answer that you have to find which is 4.04597701 or just to round 4 and then that will be your answer.
