Answer:
49
Step-by-step explanation:
Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:
- * x
- * -3
-x + 3
Which gives us:
(-x + 3)(x + 11)
Now expand the brackets with the formula:
(a + b)(c + d) = ac + ad + bc + bd
-x * x = -x²
-x * 11 = -11x
3 * x = 3x
3 * 11 = 33
-x² - 11x + 3x + 33
-x² - 8x + 33
The formula for finding the x coordinate of a vertex in a quadratic equation is:
x = 
Plug known variables in:
Now, to find the y coordinate, plug this variable back into the quadratic equation:
-x² - 8x + 33
y = 49
So the y coordinate of the vertex is 49.
Hope this helps!
Hello!
We can solve this algebraically
2x + 5 = 3 + 2(x+1)
Distribute the 2
2x + 5 = 3 + 2x + 2
combine like terms
2x + 5 = 2x + 5
Since both sides of the equation is the same all values of x make the equation true
The answer is A
Hope this helps!
Given:
m is directly proportional to the cube of h.
m = 525 when h= 5.
To find:
The equation connecting m and h.
Solution:
m is directly proportional to the cube of h.
...(i)
Where, k is the constant of proportionality.
Putting m = 525 and h= 5, we get
Putting k=105 in (i), we get
Therefore, the required equation is .
Answer:
Feb. 2 marks Groundhog Day, when traditionally a Pennsylvania groundhog known as Punxsutawney Phil makes an appearance above ground, near the cozy tree stump he calls home. Legend has it that if he sees his shadow, North America is in for six more weeks of winter weather.
Step-by-step explanation:
Hello!
When they are asking for the difference between two numbers, they are meaning basically to find what 192-95=97
So the difference between 96 and 192 is 97
Hope this helps! Thank you so much!!
