Sides of first rectangle are 12 inches and 6 inches
and sides of second rectangle are 10 inches and 5 inches
So to find the ration of sides we can do
Ratio of bases = 12/10 = 6/5
Ratio of altitudes = 6/5
Area of first rectangle = base * altitude = 12 *6 = 72 square inches
Evaluate the given function in x=-4.
This is, replace the x in the function for -4 and find the value of g(-4).
The value of g(-4) is 32.
Answer:
Each hot dog = $3
Each french fry = $2
Step-by-step explanation:
First, lets define our variables:
x = Hotdog
y = fries
Next, you need to set up a cost equation for both Toby and Bernie:
8x + 5y = 34
2x + 6y = 18
Now, we need to isolate one of the variable:
2x + 6y = 18
2x = 18 - 6y
x = 9 - 3y
Next, we need to insert this equation back into the first equation (8x+5y = 34) to find the cost of y (fries):
8x +5y = 34
8 (9-3y) + 5y = 34
72 - 24y + 5y = 34
72 - 19y = 34
19y = 38
y or fries = $2
Finally, we need to find the cost of each hotdog by using the cost of fries ($2) in one of the formulas:
2x + 6y = 18
2x + 6(2) = 18
2x + 12 = 18
2x = 6
x or hotdog = $3
I hope this helps!
-TheBusinessMan
The solutions of the equation are -12 and 16
Step-by-step explanation:
Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative, if IxI = a, where a > 0, then
∵ 2Ix - 2I - 8 = 20
- At first add 8 to both sides
∴ 2Ix - 2I = 28
- Then divide both sides by 2
∴ Ix - 2I = 14
Now By using the notes above equate x - 2 by 14 and -14
∵ x - 2 = 14
- Add 2 to both sides
∴ x = 16
∵ x - 2 = -14
- Add 2 to both sides
∴ x = -12
The solutions of the equation are -12 and 16
Learn more:
You can learn more about solving equations in brainly.com/question/2386054
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