Image is missing, so i have attached it.
Answer:
Rate of change = 2
Step-by-step explanation:
From the image attached, we are given a parabola which opens upwards with many points marked on the curve.
We are asked to find the rate of change for the interval between 3 and 6 on the x axis.
Now, rate of change of any function f(x) from a to b is given by the formula ;
Rate of change = [f(b) - f(a)]/(b - a)
For this question, a = 3 and b = 6
f(3) is simply the y-value when x is 3. On the graph, f(3) = -2
Similarly,f(6) = 4
Thus;
Rate of change = [4 - (-2)]/(6 - 3)
Rate of change = 6/3
Rate of change = 2
Answer:
A= −3x+30
A=30 when x=0 which is the y−intercept.
(0,30) is a point on the graph
A=12 when x=6.
Find the slope using the two points
12-30/6-0= -18/6=-3
Answer:
Irrational
Step-by-step explanation:
Repeating decimals are rational. Nonrepeating are irrational.
This is a nonrepeating decimal. First you have one 3, then two 3s, then three 3s. It's not a repeating pattern. So it's an irrational number.
Answer:
Step-by-step explanation:
Answer: it would take 20 weeks before the amount in both accounts would be the same.
Step-by-step explanation:
Let x represent the number of weeks that it will take either Ruben and Shawna to have the same amount of money in their account.
Let y represent the total amount that would be in Shawna's account after x weeks
Let z represent the total amount that would be in Ruben's account after x weeks
Shawna has $750 in the bank. She deposits $37.50 each week. This means that the total amount after x weeks would be
y = 37.5x + 750
Ruben has $850 in the bank. He deposits his paycheck of $102.75 every Monday,and he spends about $70.25 each week.. This means that the total amount after x weeks would be
z = 850 + 102.75x - 70.25x
z = 850 + 32.5x
To determine the number of weeks before the amount in both accounts will becomes the same, we would equate y to z. It becomes
37.5x + 750= 850 + 32.5x
37.5x - 32.5x = 850 - 750
5x = 100
x = 100/5 = 20
Add all the new budget amounts:
510 + 254 + 295 + 51 + 0 + 100 + 100+ 0 + 100 = 1410
Her monthly total is 1410, which is less than her income of 1700
1700 - 1410 = 290
She has $290 extra each month.
So she can divide that amount by 2 to put an equal amount in each blank category, or add what ever amount less than that into each one.
