Answer: -1(x+2)^2+10
Step-by-step explanation:
1. The coefficient of -x^2 is just the number in front, which in this case would be a = -1 So now the function is -1(x^2+4x)+6 since negative one has been factored out of the first two terms.
2. Half of the coefficient of x would be 2 since x has a coefficient of 4, and half pf 4 is 2. Squared, it is 4. That will be added inside the bracket. Subtracted on the outside is the same equation but multiplied by a, which we found out was -1 in the beginning. So, the function becomes -1(x^2+4x+4)+6-(-4).
3. Factor the inside equation to find that it’ll become (x+2)^2, and simplify the outside to get 10. The function will now be;
f(x)=-1(x+2)^2+10
Hope that made sense and make sure to check just in case I did the math wrong :]
It's a linear function with y-intercept = 12.
The slope-intercept form:
Let's read the coordinates of two points on the graph:
(2, 15) and (4, 18)
Substitute to the formula of a slope:
We have the equation of a line:
We need calculate the value of function for x = 1 and x = 20.
Substitute:
$12 is the "Fixed Fee", therefore the discounted entrance fee to the art museum is
The total cost is $42.00 after 20 visits.
<h3>Answer D.</h3>
Answer:
0.1 miles per minute
Step-by-step explanation:
The line goes through (0, 0), so Maria's speed is the ratio of miles to minutes:
(4.5 mi)/(45 min) = 0.1 mi/min
Answer:
<h2>3,600 m²</h2>
Step-by-step explanation:
The formula of a surface area of a sphere:
<em>R</em><em> - radius</em>
<em />
We have <em>R = 30m</em>.
Substitute:
Okay, the equation would be: What is 35% of $117
Proportion:
We multiply:
117 x 35 = 4095
Now we divide:
4095 / 100 = 40.95
Then we add:
40.95 + 117 = $157.95
and that's your answer!
I hope this helps! :)