Ok so, based on the graph lets say that x = seconds and y = depth of dolphin. the interception in both points is when they are at 0 i.e when x is equals 0 and y equals 0. So At 0 seconds, the dolphin is 42 feet below the surface. So we say that x = 0, y = -42 and then the y intercepts = -42 so the point of interception is(0 (seconds),-42(depth of the dolphin)) When the clock says it's 14 seconds, the dolphin is even with the surface (0 below the surface this time). So we say that x = 14, y = 0. In this case The x intercept = 14 (14,0). But we need to calculate The slope with the formula= (y2 - y1)/(x2 - x1) = 42/14 = 3. Therefore, the formula for this line is y = 3x - 42.
Answer is
<span>g(x) = 2.5x + 25
</span>5 newspapers, 2.5(5) + 25 = 12.5 + 25 = 37.5
20 newspapers, 2.5(20) + 25 = 50 + 25 = 75
Answer:
(3x - 4)(8x - 3)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 24 × 12 and sum = - 41
The required factors are - 32 and - 9
Use these factors to split the x- term
24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )
= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term
= (3x - 4)(8x - 3) ← in factored form
One possible inequality would be
1999-x<0.
If you subtract any year after he stepped down from 1999, the year he stepped down, the result will be a negative number.
Answer:
21/20
Step-by-step explanation:
a) One hour is equivalent to 60 minutes.
So we can multiply 50 minutes by the fraction 
, so we could convert 50 minutes to hours.
It is:
If we simplify the fraction, we have:
b) In order to express the turtle's speed in miles per hour, we have to divide
by 
So:
We simplify the expression by multiplying 7 mile by 6 and 8 by 5 hours:
