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Ulleksa [173]
3 years ago
6

write a linear equation that intersects y=x^2 at two points. Then write a second linear equation that intersects y=x^2 at just o

ne point, and a third linear that does not intersect y=x^2. Explain how you found the linear equations.
Mathematics
1 answer:
Liula [17]3 years ago
5 0

We know that y = x^2 is a parabola, concave up, with vertex in the origin (0,0)

So, we may use three horizontal lines for our purpose: any horizontal line above the x axis will intersect the parabola twice. The x axis itself intersects the parabola once on the vertex, while any horizontal line below the x axis won't intercept the parabola.

Here's the examples:

  • The horizontal line y = 4 intercepts the parabola twice: the system y = x^2,\ y = 4 is solved by x^2=4 \implies x = \pm 2
  • The horizontal line y=0 intercepts the parabola only once: the system is y=x^2,\ y=0 which yields x^2=0\implies x=0 which is a repeated solution
  • The horizontal line y=-5 intercepts the parabola only once: the system is y=x^2,\ y=-5 which yields x^2=-5 which is impossible, because a squared number can't be negative.
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Suppose that IQ scores in one region are normally distributed with a standard deviation of . Suppose also that exactly of the in
olga55 [171]

Answer: Hello your question is poorly written attached below is the complete question

answer : 101.8

Step-by-step explanation:

Given data :

Standard deviation ( б ) = 14

55% have IQ scores > 100

45% have IQ scores < 100

<u>Determine the mean IQ score for the region</u>

P ( X > x ) =

P ( Z ≥ ( 100 - μ ) / 14 ) = 0.55    also

P ( Z ≤ ( 100 - μ ) / 14 ) = 0.45

<em>using standard normal calculator </em>

100 - μ  / 14  = Z₀.₄₅ = - 0.126

<em>resolving the relation above</em>

100 - μ  / 14  = - 0.126

μ = 100 - 14 ( -0.126 )

   = 101.764 ≈ 101.8

             

7 0
3 years ago
A cook needs
GREYUIT [131]

1 cup = 0.5 pints

3 x 0.5 = 1.5 pints = 1 1/2 pints

8 0
3 years ago
Which scenario cannot be modeled by a right triangle?
kipiarov [429]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
What causes a repeating decimal in the long division algorithm?
Nady [450]

Answer:

Step-by-step explanation:

In the division algorithm, if the remainder is zero, then the algorithm terminates, resulting in a terminating decimal. remainder repeats, the calculations that follow will also repeat in a cyclical pattern causing a repeating decimal.

4 0
3 years ago
What is the recursive rule for an=4n−1? a1=4;an=an−1−1 a1=3;an=an−1+4 a1=−1;an=an−1+4 a1=3;an=an−1−1
navik [9.2K]
Plug in n = 1 into the nth term formula
a(n) = 4n-1
a(1) = 4*1-1
a(1) = 3
So the first term is 3

The second term will be 7 because we add on 4 each time, as indicated by the slope of 4. This is also known as the common difference.

So the nth term is found by adding 4 to the (n-1)st term, in other words,
a(n) = a(n-1)+4

----------------------------------------------------------------------------

In summary, the answer is 
a1=3; an=an-1+4
which is choice B
4 0
3 years ago
Read 2 more answers
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