Answer:
Quadrants I and II
Step-by-step explanation:
y = x²
y = 3x + 10
x² = 3x + 10 Substitute x² for y
x² - 3x - 10 = 0 set the equation = 0
(x - 5) (x + 2) Factoring
x - 5 = 0 ; x + 2 = 0
x = 5 or x = -2
Now solving the y
y = x² or y = x²
y = (5)² or y = (-2)²
y = 25 or y = 4
The points of interception is points (5, 25) or (-2, 4)
(5, 25) in Quadrant I ; (-2, 4) in Quadrant II
Answer:77 cents Clara found 77 cents bc you just need to add up the cents and you have it
For A and B, let's not pay attention to the north and south thing, since the miles they traveled aren't affected by directions (try imagining traveling 15 miles, is it affected by the direction?). Since they came from the same house,
A. Jack is 15 miles from his home
B. Alex is 10 miles from his home
C is a bit trickier, because you have to use the directions now. I'd suggest getting graph paper to draw it out, or just drawing a graph yourself. Since north and south are opposite from each other, you just add the miles they traveled together.
C. Jack is 25 miles away from Alex
I hope this helps!
Make the denominators the same before you add so,
+
=
If they sell for $5/pound and you have 20 pounds, that means you'll gain $100 if you sell all of it. So, in order to not go in debt you need you either spend less money than $100 or $100 exactly.
We can make a system of equations to help solve for how many pounds of each we should get:
8x + 3y = 100
x + y = 20
First we want to solve for x in one of the equations:
x = 20 - y
Then we plug that value into the other equation:
8(20 - y) + 3y = 100
Now we simplify everything
160 - 8y + 3y = 100
160 - 5y = 100
Minus 160 on both sides
-5y = 100 - 160
Divide by negative 5 to solve for y
-5y = -60
y = 12
So now we know that we should get 12 pounds of the $3 chocolates. We need 8 more pounds of the $8 chocolates to have a total of 20 pounds.
20 - 12 = 8