Answer:
Option A - ![\frac{0.5}{2.75}=\frac{2}{d}](https://tex.z-dn.net/?f=%5Cfrac%7B0.5%7D%7B2.75%7D%3D%5Cfrac%7B2%7D%7Bd%7D)
Step-by-step explanation:
Given : Aricela is trying to estimate the distance between her house and the park. On a map with a scale of 0.5 in. = 2 miles, the distance between her house and the park is 2.75 in.
To find : Which proportion can Aricela use to determine the distance, d, between her house and the park?
Solution :
The distance between her house and the park is 'd' miles.
A scale of 0.5 in. = 2 miles
The distance between her house and the park is 2.75 in.
i.e. the scale is 2.75 in. = d miles
The proportion form is
![\frac{0.5\ in}{2.75\ in}=\frac{2\ miles}{d\ miles}](https://tex.z-dn.net/?f=%5Cfrac%7B0.5%5C%20in%7D%7B2.75%5C%20in%7D%3D%5Cfrac%7B2%5C%20miles%7D%7Bd%5C%20miles%7D)
Therefore, proportion can Aricela use to determine is
.
So, option A is correct.
Interest earned=$1003−$850=$153
Principal=$850
Time=9 months
Rate=Interest per month
Use the formula to solve for interest: (Interest)=(Principal)×(Rate)<span>×(Time)
153 = 850 </span>× R <span>× 9
Simplify.
153 = 7650 </span><span>× R
</span><span>Divide both sides by 7650.
0.02 = Rate
She earned 2% interest each month.</span><span>
</span>
5|2x - 2| + 8 = 18
5|2x - 2| = 18 - 8 = 10
|2x - 2| = 10/5 = 2
2x - 2 = 2 or 2x - 2 = -2
2x = 2 + 2 = 4 or 2x = -2 + 2 = 0
x = 4/2 = 2 or x = 0
x = 2 or x = 0
A line graph. The amount of time to do those things relates more to a line graph
Answer: Y < = 144
Step-by-step explanation:
Given that the function y = 3 squared - x - 3 is graphed only over the domain of {x | –8 < x < 8}
That is, y = 3x^2 - 3
Since x is greater than -8, the minimum value of x will be -7.
Also, x is less than 8, the maximum value of x will be 7
Substitute the two values into the given function.
When x = -7
Y = 3(-7)^2 - 3
Y = 3(49) - 3
Y = 147 - 3
Y = 144
When x = 7
Y = 3(7)^2 - 3
Y = 3(49) - 3
Y = 147 - 3
Y = 144
The range of the graph is therefore, Y less than or equal to 144. That is,
Y < = 144