Solve for x over the real numbers using factor method:
10 x^2 + 19 x - 15 = 0
The left hand side factors into a product with two terms:
(2 x + 5) (5 x - 3) = 0
Split into two equations:
2 x + 5 = 0 or 5 x - 3 = 0
Subtract 5 from both sides:
2 x = -5 or 5 x - 3 = 0
Divide both sides by 2:
x = -5/2 or 5 x - 3 = 0
Add 3 to both sides:
x = -5/2 or 5 x = 3
Divide both sides by 5:
Answer: x = -5/2 or x = 3/5
A rotation of a point on the coordinate system for 180 degrees about the origin results in (x, y) → (-x, -y).
Given that the coordinate of L is (2, 2), then the coordinates of L' is (-2, -2).
Given that the coordinates of N is (1, 6), then the coordinate of N' is (-1. -6)
Therefore, the <span>statements that are true regarding the transformation are:
</span><span>The rule for the transformation is (x, y) → (–x, –y).
</span>
<span>The
coordinates of L' are (–2,–2).
The coordinates of N' are (–1,–6).</span>
Answer:
1 hotdog cost $2.25
1 popcorn cost $3.5
Step-by-step explanation:
Let the price of hotdog be and that of popcorn be p
For the first hour;
15p + 14h = 84 •••• (i)
for the second hour;
18p + 16h = 99 •••••(ii)
so we want to solve these two equations simultaneously
In equation 1,
14h = 84-15p
h = (84-15p)/14
Simply insert this into equation ii
18p + 16(84-15p)/14 = 99
Multiply through by 14
252p + 1344 - 240p = 1386
1386-1344 = 252p-240p
12p = 42
p = 42/12
p = $3.5
to get cost of hotdogs;
h = (84-15p)/14
Substitute p = 3.5
h = (84-52.5)/14
h = 31.5/14
h = 2.25
7 x 4 = 28; 28 divided by 2 = 14cm squared
I'm not 100% sure, but I'm pretty sure its 11 and 13
