Answer:
x<3 and x<5
Step-by-step explanation:
Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followedStep 1: Factorize the quadratic expression
x² - 8x + 15 <0
x² - 3x - 5x + 15 <0
x(x - 3) - 5(x - 3) <0
(x -3)(x -5)< 0
x -3<0 and x -5<0
x< 3 and x< 5
If each there are 40 pencils, then divide to find how much each pencil is.
37.20 / 40 = $0.93
Correct answer is D.
After solving, we see that buying the case of 40 pencils is cheaper than buying 40 individual pencils.
Hope This Helped! Good Luck!
Answer:
Option c. 104 people
Step-by-step explanation:
For 1 desk : 4 people
For 2 desks: 6 people
For 3 desks: 8 people
<em>For 51 desks: </em>
<em>We can see the pattern in the number of people that can be seated on the tables. </em>
Using arithmetic series: 4,6,8,....
a(n) = a1 + (n-1)d
n = 51
d = a2 - a1 = 6 - 4 = 2
a(51) = 4 + (51 - 1) 2
= 4 + (50)2
= 4 + 100
= 104
Step-by-step explanation:
I assume they intersect at a right angle (90°).
then the intersection is a rectangle with one side being 12 m, and the diagonal being 13 m long.
the diagonal is the Hypotenuse (baseline) of a right-angled triangle with the length and the width of the rectangle as legs.
so, by using Pythagoras we have
diagonal² = length² + width²
13² = 12² + width²
169 = 144 + width²
25 = width²
width = 5 m
so, Oakdale Avenue is 5 m wide.
