Answer:
a = -3
Step-by-step explanation:
Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other.
Divide -8 from both sides:
(-8a)/-8 = (24)/-8
a = 24/-8
a = -3
a = -3 is your answer.
Answer:
$2.50
Step-by-step explanation:
Let the original monthly expenses be 'x'.
Given:
Reduced monthly expenses = $2.125
Reduction in monthly expenses = 15%
Therefore, remaining percentage of monthly expenses = 100 - 15 = 85%
Now, as per question:
Therefore, the original monthly expenses of Mr. Wood was $2.50.
Also, we can find his monthly income using the value of 'x'.
As per question, his monthly expenses is 80% of his income.
So, 80% of income = 2.5
Income = 
So, his monthly income is $ 3.125
The answer to the question
H=7.
To convert to vertex form, we complete the square. This means we move the constant, c, to the other side.
y=x²-14x+29
y-29 = x²-14x+29-29
y-29=x²-14x
To find the number that we then add to both sides, we look at the value of b (coefficient of x). We take half of that number; -14/2 = -7. Then we square it; (-7)²=49. This means we add 49 to both sides:
y-29+49=x²-14x+49
Now we combine like terms on the left:
y+20=x²-14x+49
Write the right hand side as a square:
y+20 = (x-7)²
Now move the 20 on the left back to the right by subtracting it from both sides:
y+20-20=(x-7)²-20
y=(x-7)²-20
The value of h is 7.
Answer:
224
Step-by-step explanation:
16x7+4x8+16x5=224
