Answer:
Step-by-step explanation:
x-intercepts exist where y is equal to 0. Where y is equal to 0 is where the graph goes through the x-axis. Our x-intercepts are (2x-3), (x + 3), and (x-4). Again, since x-intercepts exist where y = 0, then by the Zero Product Property, 2x - 3 = 0, x - 4 = 0, and x + 3 = 0. In the first x-intercept:
2x - 3 = 0 and
2x = 3 so
x = 3/2
In the second:
x - 4 = 0 so
x = 4
In the third:
x + 3 = 0 so
x = -3
So the x-intercepts in the correct order are x = 3/2, 4, -3
Answer:
Option A.
Step-by-step explanation:
The given sequence is
24, 30, 36, 42, 48, ...
It is an AP. Here,
First term = 24
Common difference = 30-24 = 6
The given explicit formula for nth term is
where,
is first term, d is common difference.
Substitute
in the above formula.
The 500th term of the sequence is 3018.
Therefore, the correct option is A.
Answer:
6:15
Step-by-step explanation:
2/3= 10/15
2/5= 6/15 study french
6:15
Answer:
2 hundreths
Step-by-step explanation:
Given:
Triangles FRI and DAY are similar.
To find:
Similarity ratio
Solution:
<em>If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.</em>
Here, FR and DA are corresponding sides.

Cancel the common factors of 4 and 6, we get

⇒ FR : DA = 2 : 3
⇒ ΔFRI : ΔDAY = 2 : 3
Similarity ratio of the first triangle to the second triangle is 2 : 3.