The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
Answer:
45.95x + 30.50
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
Matt's Mechanics charges $45.95 per hour to do a car repairs plus $30.50 for waste disposal.
<em>45.95x + 30.50</em>
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Answer: 45.95x + 30.50
First, you would have to do 11x + 3x Since you're combining like terms.
Now your problem is 14x + 40 = -24
Now you would do 40 - -24 which is now 40+24 and equal to 64.
Now you divide 14 by 64 and you get 4.5
<span>the probability the coach selects all girls is m</span>ost likely
There are 36 inches in a yard. 36*6.75 =243. 6.75 yards is the same as 243 inches.
