Answer:
D)
Step-by-step explanation:
f(x) = x^2 -14x -72
0=x^2 - 14x-72
0=x^2 - 18x+4x-72
0=x(x-18)+4(x-18)
0=(x-18)(x+4)
x-18=0 or x+4=0
x1=18 or x2=-4
asis of symmetry: x=(x1+x2)/2
x=(18+(-4))/2
x=14/2
x=7
Congruent to angle 1: 3, 5, 10, 8, and 6
congruent to angle 2: 4, 9, and 7
Answer:
You will have $1628.16 per month in discretionary money.
Step-by-step explanation:
In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings. Since there are 12 months in a year, your monthly income is $3072. Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%. The remaining percentage of your income would be considered discretionary, which would account for 53%. To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.
Answer: 285.2 kg
Step-by-step explanation:
Given
The volume of helium in the balloon is
The density of the helium is
Mass of the helium gas is given by the product of density and volume
Thus, the mass of gas is 285.2 kg
Percy solved the equation by expanding the expression on the left-hand side, and this is incorrect
<h3>How to determine the true solution?</h3>
The equation is given as:
x^2 + 7x + 12 = 12
The first step in solving the equation is to equate the equation to 0.
i.e.
x^2 + 7x + 12 - 12 = 0
This given
x^2 + 7x = 0
From the question, Percy solved the equation by expanding the expression on the left-hand side
Hence, Percy's solution is incorrect
Read more about equations at:
brainly.com/question/2972832
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