Answer: The number 0
x^2 + 8x - 4 = x^2 + 8
8x - 4 = 8 ... subtract x^2 from both sides
8x = 12 .... add 4 to both sides
x = 12/8 .... divide both sides by 8
x = 3/2 ... reduce
x = 1.5 .... convert to decimal form
Now plug x = 1.5 into the expression 2x-3 and simplify
2x-3 = 2*1.5-3 = 3-3 = 0 which is the answer
Answer:
Step-by-step explanation:
15y - 9 < 36 <em>add 9 to both sides</em>
15y < 45 <em>divide both sides by 15</em>
y < 3
Answer:
y=27x
Step-by-step explanation:
If Buddy makes 15 toys per hour we can use the expression [15x=y] (let x be # of hours worked). If Bubbles makes 12 toys per hour we can use the expression [12x=y]. To find out the number of toys they make together we can just find the total number of toys they make in an hour. (Combine the 2 equations).
15x+12x=y
27x=y
Using proportions, it is found that Ermias is traveling at a rate of 11 mph and Jeremiah at a rate of 19 mph.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Jeremiah travels 8 mph faster than Ermias, hence their velocities are:
x, x + 8
They travel in opposite directions, hence in one hour they are 2x + 8 apart.
In eight hours, the distance is 8(2x + 8), which is of 240 miles, hence:
8(2x +8) = 240
2x + 8 = 30
2x = 22
x = 11.
Then:
- x = 11 + 8 = 19 -> Jeremiah.
More can be learned about proportions at brainly.com/question/24372153
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