Answer:
x < ( 8 - 2b ) / -a
Step-by-step explanation:
For this problem, we simply will solve the inequality for x.
-ax + 2b > 8
-ax > 8 - 2b
x < ( 8 - 2b ) / -a
Note, the comparison is flipped since a negative multiplicand was used to isolate x.
Cheers.
The answer is choice D
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Explanation:
We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.
The answer is either choice A or choice D
If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625
The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer.
Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork.
C=10, C=90°, B=30°, A+B+C=180°
A+30°+90°=180°⇒A=60°
cos30°=a/c
cos30°=a/10⇒a=cos30°*10
a<span>≃8.6602
c²=a²+b²⇒b²=c²-a²
b²=10²-8.6602²⇒b²=25
b=5
</span>
Answer:
The total volume of the whole figure is 576m³.
Step-by-step explanation:
First find the volume for the first figure.
Volume of a Rectangular Prism (formula): L•W•H
V = (15m)(12m)(2m)
V = 360m³
Now, find the volume for the second figure.
V = (6m)(12m)(3m)
V = 216m³
Finally, just add both volumes to find the total volume of the entire figure.
Vt = 216m³ + 360m³
Vt = 576m³
Answer:
$22,510.96
Step-by-step explanation:
Final investment value
$22,510.96
Total interest earned
$7,510.96
Initial balance
$15,000.00
Total monthly deposits
$0.00
Effective Annual Rate (APY)
7%
