Simplifying
P + -21 + -21 = 34 + -21
-21 + -21 + P = 34 + -21
Combine like terms: -21 + -21 = -42
-42 + P = 34 + -21
Combine like terms: 34 + -21 = 13
-42 + P = 13
Solving
-42 + P = 13
Solving for variable 'P'.
Move all terms containing P to the left, all other terms to the right.
Add '42' to each side of the equation.
-42 + 42 + P = 13 + 42
Combine like terms: -42 + 42 = 0
0 + P = 13 + 42
P = 13 + 42
Combine like terms: 13 + 42 = 55
P = 55
Simplifying
P = 55
10 * 6 = 60 by the time Zach joins so 125-60 = 65
Now 6 (lexie) +7 (zach) = 13 (together) and 65/13 = 5.
6*5 = 30 and 7*5 = 35. 35+30 = 65
Your answer is 5.
Answer:
false and then true
Step-by-step explanation:
Hope this helps :)
Answer: 
Step-by-step explanation:
1. By definition, the associative property of addition is:
This property says that you can group the numbers in different ways and you will obtain the same result.
2. Therefore, if you have the following expression:
You apply the Asociative property of addition by regrouping the numbers as following:
3. Then, you can conclude that the correct option is B.
Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
