Please help me, im struggling a lot rn
2 answers:
You might be interested in
Answer:
(1.13, 7.74) and (-4.13, 18.26)
Step-by-step explanation:
This can be solved in two ways: mathematically and graphically.
<u>Graphing</u>
Plot both lines and find where they intersect. See the attachment.
The intersection points are (1.13, 7.74) and (-4.13, 18.26)
<u>Mathematical</u>
y + 2x = 10
y = 10 - 2x
y = 3x² + 7x - 4
10 - 2x = 3x² + 7x - 4
3x² + 9x - 14 = 0
Solve this using the quadratic equation:
x = 1.13 and -4.13
Use these two values of x to find y:
y = 10 - 2x
y = 10 - 2(1.13)
y = 7.74
y = 10 -2x
y = 10 -2(-4.13)
y = 18.26
The two points are:
(1.13, 7.74) and (-4.13, 18.26)
Answer:
(2,√21)
Step-by-step explanation:
The circle centered at the origin has equation:
Any point that satisfies this equation lie on this circle.
When x=2, we substitute and solve for y.
Take square root to get:
Therefore (2,-√21) and (2,√21) are on this circle.
From the options, (2,√21) is the correct answer
Answer: The z score that corresponds to the value x=22 is 0.4 .
Step-by-step explanation:
Given : A normal distribution has a mean 20 and standard deviation 5.
i.e.
Let x be the random selected variable.
We know that to find the z-score corresponds to the value x is given by :-
For x = 22, we have
Hence, the z score that corresponds to the value x=22 is 0.4