Answer:
y = -2x + 22
Step-by-step explanation:
You fill an aquarium with water, the water is 22 inches deep. The water evaporates at 2 inches per week. Write an equation that approximates the depth y of water in the aquarium x weeks after you fill it.
Answer: The problem above represents that of a linear function. The equation of a linear function is given by:
y = mx + b, where y is the dependent variable, x is the independent variable, m is the rate of change and b is the initial value of y when x = 0.
From the problem, the independent variable is the number of weeks and the dependent variable is the depth of water, hence y = depth of water and x = weeks after you fill it.
The rate = 2 inches per week, since it evaporates (decreases), hence m = rate of change = -2. Also, at 0 weeks (x = 0), the depth (y) = 22 inches, therefore b = 22. Using the equation for linear function, we get:
y = -2x + 22
4x² + 2x - 30 = 0
<span>
factor out the GCF:
</span>2(2x² + x - 15) = 0
<span>
factor the trinomial completely:
2x</span>² + x - 15 = 0
2x² + 6x - 5x - 15 = 0
2x(x + 3) - 5(x + 3) = 0
(2x - 5)(x + 3) = 0
<span>use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0 or x + 3 = 0
2x = 5 x = -3
x = 2.5
</span><span>The roots of the function are x=-3, x=2.5</span>
Divide 3.42 by 0.76 to equal 4.5 or
3.42 / 0.76 = 4.5
Therefore, James lives 4.5 times the distance Megan lives from the school.
Answer:
<h2>SU = 3.5</h2>
Step-by-step explanation:
We have the triangle 30° - 60° - 90°.
Right triangles with 30-60-90 angles will have their ratio of the sides as
1 : √3 : 2 (look at the picture).
We have:
SR : SU : RU = 1 : √3 : 2
Therefore RU = 2SR and SU = SR√3.
We have RU = 4. Substitute:
2SR = 4 <em>divide both sides by 2</em>
SR = 2
SU = 2√3 ≈ 2(1.73) = 3.5
The answer is 7 2/10 miles
what I did was multiply 9 and 8 to get 72/10 and turned the improper fraction into a mixed number to get 7 2/10