Answer:
Please look at the attachment for the graph of solution.
Step-by-step explanation:
We have been give two inequalities:
And 
Solution to the inequality graphically is where the two graphs of the inequalities intersects.
Please look at the attachment shaded area is the region for solution to the inequality.
Answer:
Q2 2010
Step-by-step explanation:
Let the number of quarters = x
Samsung increases by 6 each quarter.
Apple decreases by 1 each quarter.
Samsung
L = a + (x - 1)*6
a = 1
L = 1 + (x - 1)*6
Apple
L = a - (x - 1)*1
a = 53
L = 53 - (x - 1)*1
Now the problem is how many quarters go by until they meet?
1 + (x - 1)*6 = 53 - (x - 1) Remove the brackets
1 + 6x - 6 = 53 - x + 1 Combine like terms on both sides.
-5 + 6x = 54 - x Add 5 to both sides
6x = 59 - x Add x to both sides
7x = 59
x = 59/7 = 8 3/7
So sometime in the 8th quarter from zero they will be equal. At the end of the quarter, Samsung will be greater than Apple
So the answer should be 4 quarters from Q2 2009 or Q2 2010
Answer:
The zeros are x = 1 and x = 3
In the picture attached, the graph of the function is shown. The zeros are those points where h(x) intersect x-axis.
Step-by-step explanation:
Given the expression:
x² - 4x + 3
Rewrite -4x term:
x² - x - 3x + 3
Take x as common factor in the first terms, and -3 in the last terms:
x(x - 1) - 3(x - 1)
Take (x - 1) as common factor:
h(x) = (x - 1)(x - 3)
Answer:
D. Similar, AA similarity, ΔSCD
Step-by-step explanation:
CD and RQ are parallel. Therefore, ∠Q and ∠D are corresponding angles, and ∠R and ∠C are also corresponding angles. Corresponding angles are congruent.
Therefore, by AA similarity, ΔSRQ ~ ΔSCD.
Let x is the days and the y is the height of the plant.
Let the change between x and y is linear.
So, the relation between x and y will take the form ⇒ y = ax + b
where a and b are constants.
At x = 30 ⇒ y = 18 ⇒⇒⇒ ∴ 18 = 30 a + b → (1)
At x = 90 ⇒ y = 29 ⇒⇒⇒ ∴ 29 = 90 a + b → (2)
solve (1) and (2) to find a and b
subtract (1) from (2)
∴ 11 = 60 a ⇒⇒⇒ ∴ a = 11/60
substitute at (1) ⇒⇒⇒ ∴ b = 25/2 = 12.5
<u>So, the equation which represents the plants growth is</u>
<u>∴ y = (11/60) x + 12.5</u>
