Answer: y= 5/4 + 3/2
Step-by-step explanation: Your equation is y=mx +b. You have to subtract the second y from the first y, and the second x from the first x to find the slope. This equation would be 4-(-1) over 2-(-2). So your slope will be 5/4. Now to find the y-intercept you can choose either (x,y) point. For example if you are using (2,4) you would do b= 4-(5/4)(2). b=3/2.
Santa and his elves had a workshop that allowed them to produce 22{,}912{,}546{,}99222,912,546,99222, comma, 912, comma, 546, co
zvonat [6]
Answer: 180 times
Step-by-step explanation:
Given the following :
Production capacity of old workshop :22,912,546,992 toys per year
Production capacity of new workshop:
4,134,232,638,937 toys
Approximately how many times as many toys can the new workshop produce each year compared to the old workshop?
Production capacity of new workshop / production capacity of old workshop
= 4,134,232,638,937 / 22,912,546,992
= 180.435
= 180 ( nearest whole number)
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.
Includes critical information you need to identify the chemical
, Includes warnings about the chemical
, Legible are the requirements for chemical labels
<u>Step-by-step explanation:</u>
Labels need to produce guidance on how to manage the chemical so that chemical users are notified about how to guard themselves. That data about chemical hazards be dispatched on labels using quick visual notations (Legible) to inform the user, granting instant identification of the hazards.
Labels, as described in the HCS, are a relevant group of written, printed or graphic information elements concerning a hazardous chemical that are attached to, printed on, or added to the immediate container of a hazardous chemical, or to the outside packaging.
