11
(9, 18, 27, 36, 45, 54, 63, 72, 81, 90 and 99)
Those numbers divisible by 9 are the multiple of 9; thus need to know how many multiples of 9 there are between 1 and 100:
100 ÷ 9 = 11 r 1 ÷ last multiple of 9 is 11 × 9 (= 99)
→ There are 11 - 1 + 1 = 11 numbers between 1 and 100 which are divisible by 9.
(They are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99.)
Answer:
18
Step-by-step explanation:
3 / 2 = 1.5
1.5 x 12 = 18
......
<span><span><span><span>1. <span> Find the slope and y-intercept for the equation 2y = -6x + 8.</span></span><span>First solve for "y =": <span> y</span> = -3x + 4
Remember the form: <span>y </span>= mx + b
Answer: the slope (m) is -3
the y-intercept (b) is 4</span></span><span><span>3. Given that the slope of a line is -3 and the line passes through the point (-2,4), write the equation of the line. </span><span>The slope: m = -3
The point (x<span>1 </span>,y1) = (-2,4)
Remember the form: y - y1 = m ( x - x1)
Substitute: <span>y </span>- 4 = -3 (x - (-2))
ANS. <span> y</span> - 4 = -3 ( x + 2)
If asked to express the answer in "y =" form: y - 4 = -3<span>x </span>- 6
y = -3x - 2 </span>
</span></span><span><span><span>2. <span>Find the equation of the line whose slope is 4 and the coordinates of the y-intercept are (0,2).</span></span><span>In this problem m = 4 and b = 2.
Remember the form: y = <span>mx </span>+ <span>b </span>and that<span> b</span>is where the line crosses the<span> y-</span>axis.
Substitute: <span> y = 4x + 2 </span></span> </span><span><span>4. Find the slope of the line that passes through the points (-3,5) and (-5,-8).</span><span>First, find the slope:
Use either point: (-3,5)
Remember the form: <span>y </span>- y1 = m ( x - x1)
Substitute: y - 5 = 6.5 ( x - (-3))
<span>y </span>- 5 = 6.5 (x + 3) Ans.</span>
</span></span></span>
Answer:
SEE IMAGE FOR ANSWER.....
<span>basically you write an exponential function for y=ab^x for a graph that includes (1,15) and (0,6)
then using (0,6) you get: 6 = ab^0
and using (1,15) you get 15 = ab^1
Equations:
a = 6
ab = 15
So, b = 15/6 = 5/2
Equation:
y = 6(5/2)^x</span>