The answer is 11:100 and 11%
Answer:
4x
Step-by-step explanation:
Given the expression
4x² - 36x
Get the individual factor of each terms
4x² = 4 * x * x
36x = 4 * 9 * x
4x² - 36x = 4x(x-9)
From both factors we can see that 4*x is common to them, hence the greatest common factor is 4x
Answer:
Option 2
Step-by-step explanation:
First, find the slope of the line of the graph using the points given as (5, -3) and (13, -9):
Any of the triangle in the options given, whose opp side has the same slope value of -¾, is the triangle we are looking for.
Option 1: slope between the points (0, 2) and (3, -2).
Option 2: slope between the point (-7, 6) and (-3, 3).
Option 2 has the same slope as the one given in the graph. This is the answer.
Option 3: slope between the points (5, -1) and (2, -5).
Option 4: slope between the points (2, -7) and (6, -4).
The answer is Option 2
Answer:
Lin has 11 acorns ⇒ answer D
He subtract 4 from 7 instead of add 4 to 7
Step-by-step explanation:
- Lin has 4 pinecones and some acorns
- She has 7 fewer pinecones than acorns
- The meaning of 7 fewer pinecones than acorns is the number of the
pinecones is less than the number of acorns by 7
∵ She has 4 pinecones
∵ She has 7 fewer pinecones than acorns
- The number of pine cones is less than the number of acorns by 7
∴ 4 = number of acorns - 7
- Add 7 to both sides
∴ 11 = number of acorns
*<em> Lin has 11 acorns</em>
- Tom choose answer A which is 3
- He made a mistake in the equation
- He put ⇒ number of the acorns = 7 - 4 not 7 + 4
∴ number of acorns = 3
* <em>He subtract 4 from 7 instead of add 4 to 7</em>
To find the tangent line we will need the slope of the tangent at x=-1 (the x-coordinate of the point given). We find the slope by using the derivative of the curve.
Th curve given is
which can be solved for y by taking the root of both sides. We obtain
We find the derivative using the chain rule. Bring down the exponent, keep the expression in the parenthesis, raise it to 1/2 - 1 and then take the derivative of what is inside.
Next we evaluate this expression for x=-1 and obtain:
So we are looking for a line through (-1,2) with slope equal to -9/2. We use y=mx+b with m=-9/2, x=-1 and y=2 to find b.
2-(9/2)=b
b=-5/2
So the tangent line is given by y=(-9/2)x+(-5/2)