3 years ago

Solve x^2 - (7 -1)x + (18 - i) =0

Mathematics

1 answer:

Mazyrski [523]3 years ago

6 0

Step-by-step explanation:

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The line with equation x-3y-27=0 meets the parabola y²=4x at two points. Find their coordinates

lesantik [10]

$x-3y-27=0\\
y^2=4x\\\\
x-3y-27=0\\
x=\frac{y^2}{4}\\\\
\frac{y^2}{4}-3y-27=0\\
y^2-12y-108=0\\
y^2-12y+36-144=0\\
(y-6)^2=144\\
y-6=-12 \vee y-6=12\\
y=-6 \vee y=18\\\\
x=\frac{(-6)^2}{4} \vee x=\frac{18^2}{4}\\
x=\frac{36}{4} \vee x=\frac{324}{4}\\
x=9 \vee x=81\\\\
\boxed{(9,-6),(81,18)}
$

4 0

3 years ago

Read 2 more answers

Please help and thank you

lawyer [7]

I think it should be A

7 0

3 years ago

Which of the following equations represent a proportional relationship

MAXImum [283]

A would be fine as your answer.

8 0

3 years ago

In the inequality, what are all the possible values of x?

Marat540 [252]

Answer:

B) $\displaystyle x ≤ 0$

Step-by-step explanation:

2(x + 12) − 16 ≤ 8

$\displaystyle \frac{2(x + 12)}{2} ≤ \frac{24}{2} \\ \\ x + 12 ≤ 12 \\ \\ x ≤ 0$

I am joyous to assist you anytime.

7 0

3 years ago

The Director of Admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

VMariaS [17]

Answer:

Variance = 24900

Standard Deviation = 157.7973

Step-by-step explanation:

We are given the following in the question:

Number of admissions: 1000 1200 1500

Admissions Probability: 0.6 0.3 0.1

Formula:

$E(x) = \displaystyle\sum x_iP(x_i)\\E(x) = 1000(0.6) + 1200(0.3) + 1500(0.1)\\E(x) = 1110\\E(x^2) = \displaystyle\sum x_i^2P(x_i)\\E(x^2) = (1000)^2(0.6) + (1200)^2(0.3) + (1500)^2(0.1)\\E(x^2) = 1257000$

Variance =

$\sigma^2 = E(x^2) - (E(x))^2\\\sigma^2 = 1257000 -(1110)^2\\\sigma^2 =24900$

Thus, the variance is 24900.

Standard Deviation =

$\sigma = \sqrt{\sigma^2} = \sqrt{24900} = 157.7973$

Thus, the standard deviation is 157.7973

7 0

3 years ago