Answer:
a) t-4 = 3 (i - 1/4h) = h = 3i - 3 3/4h
= t = -0.75
= h = 4
b) 3.30am = 1 inch.
Step-by-step explanation:
a) formula for point slope form = y - y1 = m(x-x1)
a) t-4 = 3(i - 1/4h) converts to t-4 = 3i - 3/4h = t = 3i- 3 3/4
x = - 0.75 y = 4 = t= -0.75 and h = 4
b) 12.15am = 4 inches
1.15am = 3.25 inches
2.15am = 2.5 inches
3.15am = 1.75inches
3.30 = 1 inches
3.15 + 15mins = 1 inch
¹/24
Step-by-step explanation:
The number of favorable outcomes (rolling a 5) is 3
The total number of possible outcomes is 12 * 6 = 72
Therefore;
P(5) = 3/72
= 1/24
Answer:
is not possible
Step-by-step explanation:
<u><em>The question in English is</em></u>
we are building a road that links the points a = (12 ,21) and b =(17,23) another point is in c =(3,9) it is possible that a single road allows to join these three points?
we know that
The formula to calculate the slope between two points is equal to
step 1
Find the slope ab
we have
a = (12 ,21) and b =(17,23)
substitute
step 2
Find the slope ac
we have
a = (12 ,21) and c =(3,9)
substitute
simplify
step 3
Compare slopes ab and ac
The slopes are different
That means ----> is not possible that a single road allows to join these three points
Answer: (- 2h + 1) + 2(3h - 4) = 4h -7
Step-by-step explanation:
First, remove unnecessary parentheses
- 2h + 1 + 2(3h - 4)
then distribute 2 through the parentheses
- 2h + 1 + 2(3h - 4) = -2h + 1 + 6h -8
Combine like terms
-2h + 1 + 6h -8 = 4h + 1 - 8
1-8= 7
So the answer is
4h - 7
Answer:
see explanation
Step-by-step explanation:
Evaluate the polynomial at x = 1 and x = 2
x = 1 : 1³ + 1 - 3 = 1 + 1 - 3 = - 1
x = 2 : 2³ + 2 - 3 = 8 + 2 - 3 = 7
Then ( 1, - 1 ) → (2, 7 )
Shows the polynomial goes from y = - 1 to y = + 7
The change in sign indicates the graph crosses the x- axis between 1 and 2
Thus indicating a solution between x = 1 and x = 2
