Answer:
y - 8 = 3(x - 2)
Step-by-step explanation:
Start with the basic point-slope form of the equation of a straight line:
y - k = m(x - h). Here the given point is (2, 8), so assign the value 2 to h and the value 8 to k, also the value 3 to m. Then:
y - 8 = 3(x - 2)
9514 1404 393
Answer:
x = -1/2, x = 7
Step-by-step explanation:
Written in standard form, the equation is ...
2x² -13x -7 = 0
We observe that factors of (2)(-7) that have a sum of -13 are -14 and +1. Rewriting the middle term using these numbers, we have ...
2x² -14x +x -7 = 0
2x(x -7) +1(x -7) = 0 . . . . . factor pairs of terms
(2x +1)(x -7) = 0 . . . . . . . . factored form
The solutions are the values of x that make these factors zero.
2x +1 = 0 ⇒ x = -1/2
x -7 = 0 ⇒ x = 7
The solutions to the quadratic are x = -1/2 and x = 7.
Because a tree diagram is mostly for finding how many possibilities or choices one has.
Answer: 30 students more voted for Gerardo than for Juju.
Explanation:
<u>so 'x' represent the total number of students</u>
<u />
<u>0.40x of the students voted for Gerardo</u>
<u />
<u>0.35x of the students voted for Leandro</u>
<u />
<u>0.25x of the students voted for Juju</u>
<u />
<u>70 students voted for Leandro:</u>
<u />
<u>0.35x = 70 </u>
<u />
<u>by solving we find:</u>
<u />
<u>x = 200 students</u>
<u />
<u>0.40x - 0.25x = (0.40 - 0.25)x = 0.15x = 0.15*200 = 30</u>
<u />
<u />
5/12 equals to 20/48.
48÷12=4
5×4=20