There are none that work, the only close two are 3 and 24 + 2 and 25, but they multiply to 72 and 50, but if you can use decimals, you could use 2.445+24.555
Step-by-step explanation:
f(x) = 2x²+8x+10
vertex point :
x = -8/2(2)= -8/4
=> x = -2 <= this is a symetry axis
f(-2)= 2(-2)²+8(-2)+10=8-16+10=2
the vertex point : (-2, 2)
intercept with y-axis :
f(0) = 0+0+10 = 10
the point : (0, 10)
the drawing as attached
Answer:
8o F at least I'm pretty sure 101o F ≥ 8o
Step-by-step explanation:
Correct me If im wrong
a. define variables for the quantities that are changing (be specific).
We define variables:
t = time in second
d = distance traveled
The variables that are changing are t and d.
As the time increases, the distance decreases.
b. what does it mean to say bob walks at a constant speed of 9.3 feet per second?
It means that for every second that passes, Bob walks 9.3 feet.
c. consider the formula d = 4320 - 9.3t i. what does t represent? ii. what does 9.3t represent? iii. what does d represent?
For this case we have:
t = represents the time in seconds
9.3t = represents the distance traveled by Bob
d = represents the distance Bob must travel to get to the bus stop.
Answer:
First, let's define two variables:
x = number of hours that you work at the Pollo Tropical per week
y = number of hours that you work at Jason's Deli per week
Now, you want to get enough money to go to Spring Break, we do not know how much money we need for this, so let's suppose that you need M.
With the given information, we know that the weekly earnings are:
x*$8 + y*$8.75
We can define this as the objetive function, the one that says how much money you get as a function of x and y:
M(x, y) = x*$8 + y*$8.75
Now, we know that:
"Pollo Tropical requires that you work at least 10 hours per week"
Then:
x ≥ 10
"Jason's Deli does not allow students to work more than 20 hours per week."
y ≤ 20
"you can't work more than 28 hours/week."
x + y ≤ 28
Then we have:
M(x, y) = x*$8 + y*$8.75
And the system of inequalities is:
x ≥ 10
y ≤ 20
x + y ≤ 28
