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jarptica [38.1K]
3 years ago
11

What is a linear equation that intersects y = x2 at TWO points?

Mathematics
1 answer:
enyata [817]3 years ago
7 0
<h3>Answer:</h3>
  • y = x intersects at 2 points
  • y = -2x-1 intersects at 1 point
  • y = x-2 intersects at 0 points
<h3>Explanation:</h3>

Any line with a y-intercept greater than 0 will intersect y = x² at two points, as will any line with a non-zero slope and a y-intercept of zero. I have chosen the line y = x to answer this question.

Any tangent line will intersect y = x² at one point. A tangent line will have slope 2x at the point (x, x²). Here, we have chosen to write the equation for the tangent at (x, y) = (-1, 1). That line has equation y = -2x-1.

Any line with a negative y-intercept and a sufficiently small slope will not intersect the curve y = x². (The slope needs to have a magnitude less than double the magnitude of the y-intercept.) Here, we have chosen a line with slope 1 and y-intercept -2: y = x-2.

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A 12 inch candle and an 18 inch Candle are lit at 6 p.m. The 12 inch candle burns 0.5 inches every hour. The 18 inch candle burn
Stella [2.4K]
18 - 2H = 12 - .5H
Combine the variables
18 - 2H + .5H = 12 - .5H + .5H
18 - 1.5H = 12
Combine the whole numbers
18 - 18 - 1.5H = 12 - 18
-1.5H = -6
Divide by -1.5
-1.5H/-1.5 = -6 / -1.5
H = 4
The answer is 4 hours
7 0
3 years ago
Graph the solution of the inequality on a number line. x − (5 − 3x) ≤ 2x − 1
egoroff_w [7]

Answer:

  • x ≤  2

Step-by-step explanation:

  • x − (5 − 3x) ≤ 2x − 1
  • x - 5 + 3x  ≤  2x - 1
  • 4x - 5 ≤  2x - 1
  • 4x - 2x ≤  5 - 1
  • 2x ≤  4
  • x ≤  2 or x ∈ (- oo, 2]

The graph includes all point to the left from point 2, same point included

4 0
3 years ago
Read 2 more answers
Using a common denominator to write an equivalent fraction for each fraction what would 1/3, 1/5, common denominator be?
STatiana [176]
The common denominator would be 15
6 0
3 years ago
A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Mater
Gala2k [10]
L = 2 W
B = L x W = 2 W²
Side Area = 2 W H + 2 L H = 2 H ( W + L ) = 6 H W
V = 2 W² H = 10
H = 5 / W²
Cost = 15 * 2 W² + 9 * 5/W
= 30 W² + 270/ W 
C ` = 60 W - 270 / W² 
= ( 60 W² - 270 ) / W² = 0
60 W² = 270
W ² = 270 : 60
W² = 4.5
W = √ 4.5 = 2.12
Cost (min) = 15 * 2 * 4.5 + 30 / 2.12 = 135 + 14.15 = $149.15
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8 0
3 years ago
Please help me understand.
USPshnik [31]

Answer:

B) 2

Below I wrote the steps on how I would find the answer.

Step-by-step explanation:

1. Yep, so basically cba = cbl + lba.

2. So you need to find x

3. So basically if you set up the equation 61x - 2 = 13x - 1 + 95

4. Then you can solve for x

5. X = 2

5 0
1 year ago
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