Answer:
x = 101/20, y = 1/4
Step-by-step explanation:
Solve the following system:
{-y + 5 x = 25 | (equation 1)
3 y + 5 x - 1 = 25 | (equation 2)
Express the system in standard form:
{5 x - y = 25 | (equation 1)
5 x + 3 y = 26 | (equation 2)
Subtract equation 1 from equation 2:
{5 x - y = 25 | (equation 1)
0 x+4 y = 1 | (equation 2)
Divide equation 2 by 4:
{5 x - y = 25 | (equation 1)
0 x+y = 1/4 | (equation 2)
Add equation 2 to equation 1:
{5 x+0 y = 101/4 | (equation 1)
0 x+y = 1/4 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 101/20 | (equation 1)
0 x+y = 1/4 | (equation 2)
Collect results:
Answer: {x = 101/20, y = 1/4
So the probability of rolling a number greater than 2 is 4/6. So 4/6 times 150 should give you the answer 100.
The value of a will be 0.125. Then the value of a is positive then the parabola will be upward.
<h3>What is the parabola?</h3>
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
A parabola opening up or down has vertex (0,-4) and passes through (-12,14).
The equation of the parabola is given as
y = a(x - h)² + k
where (h, k) is the vertex of the parabola.
(h, k) = (0, -4)
Then the equation of the parabola will be
y = a(x)² - 4
The parabola is passing through (-12, 14). Then the value of a will be
14 = a(-12)² - 4
14 = 144a - 4
144a = 18
a = 1/8
a = 0.125
Then the equation of the parabola will be
y = 0.125x² - 4
If the value of a is positive then the parabola will be upward.
More about the parabola link is given below.
brainly.com/question/8495504
#SPJ1
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