Answer:
57.39
[tex]440 \: ( 1 + \frac{5t}{46 + \: {t}^{2} } ) \\ 440 \: ( \frac{6t}{46 {t}^{2} } ) \: ( \: multiply \: 440 \times 6t) \\ \frac{2640}{46} \\ = 57.39 or 57.30
Answer:
x intercept is x=3
y intercept is y=-3
Step-by-step explanation:
We can write this equation in a simpler way to find the values needed. Lets do it. Take:
x-y=3
And sum y in both sides, as we know the equality will maintain:
x-y+y=3+y
x = 3+ y
Now subtract 3 in both sides:
x-3 = y+3-3
x-3=y
So, we can rewrite our equation as y=x-3
The x intercept is a value of x such that the equation in equal to zero; in other words, is the value of x when y is zero. It is also called a zero root. Graphically, its the x value when the function passes trough the x-axis. Lets find if, we nned that:
x-3 = 0
If we sum 3 in both sides:
x-3+3=3
x=3
So, x=3 is x intercept
For finding the y intercept we need the value of y when x is zero. Graphically, is the value of y obtained when the function passes trough the y-axis. So, replace x with 0:
0-3=y
y=-3
Another way to get it is knowing that the y intercept in a polynomial is always the independent term, the one that has no x or y, which in this case is -3.
Answer:
Step-by-step explanation:
If you are saving 25%, you are still paying 75%, right? So the cost of the TV with a discount of 25% is 192.74(.75) which is $144.56
That's the cost of the TV on sale. Now we need to find the sales tax amount, if the sales tax is .05 as a decimal. We are paying $144.56 for the TV, which is 100% of the cost. On top of that, we are paying another 5%. So altogether, for the TV, we are paying 105% of the TV. Therefore,
144.56(1.05) = $151.79
Answer:
x = 12
Step-by-step explanation:
3х+7 = 5x-17
-2x = -24
Remark: What might be confusing you is the the given expression must add up to 90o. You know this because <B = 90 so the other two angles must be 90o.
Equation
5x - 10 + 6x - 21 = 90 Combine like terms on the left
11x - 31 = 90 Add 31 to both sides.
11x - 31 + 31 = 90 + 31
11x = 121 Divide by 11
x = 121/11 = 11.
Find the value of 6x - 21
6*11 - 21 = 66 - 21= 45
Comment
The central angle for arc AB (which is double ADB = 2*45 =90) is 90. So arc AB = 90
