X^2 + 6x - 4y + 5 = 0
4y = x^2 + 6x + 5
y = 1/4x^2 + 3/2x + 5/4
Since, x is the squred part and x^2 has a positive coefficient, therefore, the graph opens up.
Answer:
v =7/75
Step-by-step explanation:
5/3v = 125/7
cross multiply
5*7 = 125 *3v
35 = 375v divide by 375
v = 35/375
v =7/75
Remark
I'm going to assume that it is just the 0.41 that is doing the repeating. If it is not leave me a note.
Solution
The trick is to call x = 3.4141414141 ....
then multiply by 100
100 x = 341.4141414141 ............ Now write the original decimal underneath.
<u>. . . x = 3.414141414141 ......</u>...... Subtract
99 x = 338 That's all that's left. The decimal part cancels out.
x = 338 / 99 Fractional answer.
x = 3 39/99
x = 3 13/33 If this isn't one of your answers, leave me a note.
Draw two straight parallel lines and label with units and arrow as the end
Draw a tick mark through both lines and label with given ratio.
Start with 0 and 0 on each number line.
Label the units of each number line.
Answer:
0.6395 ; 0.9657 ; 0.7333
Step-by-step explanation:
Given that:
Mean (m) = 10.1
Standard deviation (s) = 2.8
Obtain the following probabilities :
a) less than 10 minutes
P(x < 10)
Z = (x - m) / s
Z = (10 - 10.1) / 2.8
Z = 0.1 / 2.8
Z = 0.0357142
P(Z < 0.357) = 0.6395 ( Z probability calculator)
(b) longer than 5 minutes
P(x > 5)
Z = (x - m) / s
Z = (5 - 10.1) / 2.8
Z = −1.821428
P(Z < - 1.821) = 0.9657 ( Z probability calculator)
(c) between 8 and 15 minutes
P(8 < x < 15)
P(x < 8)
Z = (x - m) / s
Z = (8 - 10.1) / 2.8
Z = − 0.75
P(Z < - 0.75) = 0.22663 ( Z probability calculator)
P(x < 15)
Z = (x - m) / s
Z = (15 - 10.1) / 2.8
Z = 1.75
P(Z < 1.75) = 0.95994 ( Z probability calculator)
P(Z < 1.75) - P(Z < - 0.75)
0.95994 - 0.22663 = 0.7333
