Hello!
When you're finding the midpoint, you're looking for the point on the line in the middle of the two endpoints.
To do this, all you have to do is find the number in between the two x coordinates, and between the two y coordinates.
The two x coordinates are -3 and 2. The number perfectly in between these two is -0.5, meaning that the x coordinate of our midpoint is -0.5. The two y coordinates are -2 and 3, and the number perfectly in between these is 0.5, so the y coordinate is 0.5.
Therefore, your answer is C, (-0.5, 0.5).
Hope this helps!
Answer:
The simplified form is -26x^2 + 56x -15
Step-by-step explanation:
We need to solve the expression:
3x(-2x+7)-5(x-1)(4x-3)
Multiplying the terms outside the bracket with the terms inside the bracket.
=-6x^2+21x-5(x(4x-3) -1(4x-3))
= -6x^2+21x-5(4x^2-3x-4x+3)
= -6x^2+21x-5(4x^2-7x+3)
Now multiply -5 with the terms inside the bracket
= -6x^2+21x -20x^2 +35x -15
Now, Combining the like terms:
= -6x^2 -20x^2 +21x+35x -15
Adding the like terms
= -26x^2 + 56x -15
So, the simplified form is -26x^2 + 56x -15
Answer:
The graph is attached below.
Step-by-step explanation:
Given the function

Since the leading term of the polynomial (the term in a polynomial that contains the highest power of the variable) is -5x⁴, then the degree is 4, i.e. even, and the leading coefficient is -5, i.e. negative.
This means that f(x) → −∞ as x → −∞ and f(x)→−∞ as x→∞.
The graph is attached below.
Answer:
A
Step-by-step explanation:
Total amount of faces of object = 6
Surface area = length x height
2(4*10) + 2(10*17) + 2(4*17)
=2(40) + 2(170) + 2(68)
= 80 + 340 + 136
= 556cm^2
For this case we have the following functions:

Equalizing we have:

To solve we factorize, that is, we look for two numbers that when multiplied give a result of 4 and when added together give a result of -4. These numbers are -2 and -2.

Thus, we have:

So, the solution is
Answer:
