Answer:
You have to move 6 times to the left and 6 times down.
Step-by-step explanation:
If you're at (2,0), you move 2 times to the left, and then you're at (0,0).
Next move 4 times to the left. Now you're at (-4,0).
Now, move 6 times down, and now, you're at (-4,-6).
For this case we have to represent the following expression algebraically:
"10 less than x is -45"
So:
10 less than x is represented as: 
Then, the complete expression is represented as:
Adding 10 to both sides of the equation:
Thus, the value of the variable is 
Answer:
Answer: YES
Step-by-step explanation:
We need to write out the expressions
P= {m}
Q= {n}
R= {m+n}
If 2m=n then we can say;
P= {½n} Q= {n} & R= {³/²n}
It is obvious that the smaller number in Q is greater than the largest number in P
We can make some assumptions.
Let n= (x,y,z)
Consequently,
P={½x,½y,½z} Q={x,y,z} and R= {1.5x,1.5y,1.5z}
Therefore the median will be the middle element,
Median of P= ½y
Median of Q = y
Median of R = 1.5y
And 1.5y>1.5y
Then we can agree that the median of R is greater than the median of both P and Q
We are given the following:
- parabola passes to both (1,0) and (0,1)
<span> - slope at x = 1 is 4 from the equation of the tangent line </span>
<span>First, we figure out the value of c or the y intercept, we use the second point (0, 1) and substitute to the equation of the parabola. W</span><span>hen x = 0, y = 1. So, c should be equal to 1. The</span><span> parabola is y = ax^2 + bx + 1 </span>
<span>Now, we can substitute the point (1,0) into the equation,
</span>0 = a(1)^2 + b(1) + 1
<span>0 = a + b + 1
a + b = -1 </span>
<span>The slope at x = 1 is equal to 4 which is equal to the first derivative of the equation.</span>
<span>We take the derivative of the equation ,
y = ax^2 + bx + 1</span>
<span>y' = 2ax + b
</span>
<span>x = 1, y' = 2
</span>4 = 2a(1) + b
<span>4 = 2a + b </span>
So, we have two equations and two unknowns,<span> </span>
<span>2a + b = 4 </span>
<span>a + b = -1
</span><span>
Solving simultaneously,
a = 5 </span>
<span>b = -6</span>
<span>Therefore, the eqution of the parabola is y = 5x^2 - 6x + 1 .</span>
