B is correct because -6.75 is smaller than -6.5
Answer:
x = 5
Step-by-step explanation:
√(2x − 1) + 2 = x
√(2x − 1) = x − 2
2x − 1 = (x − 2)²
2x − 1 = x² − 4x + 4
0 = x² − 6x + 5
0 = (x − 1) (x − 5)
x = 1 or 5
Check for extraneous solutions.
√(2(1) − 1) + 2 = 1
√(1) + 2 = 1
3 = 1
No solution
√(2(5) − 1) + 2 = 5
√(9) + 2 = 5
5 = 5
x = 5
Answer: the large jar is cheaper
Step-by-step explanation:
If you divide the £1.54 by 440g and £1.26 by 340g, you'll find which one is cheaper per gram :
1.54/440 = 0.0035
1.26/340 = 0.0037
So, by comparing both prices/gram, you've found that the large jar is cheaper.
<u>ANSWER</u>

<u>EXPLANATION</u>
The Cartesian equation is

We substitute


and

This implies that

Let us evaluate the exponents to get:

Factor the RHS to get:

Divide through by r²

Apply the double angle identity

The polar equation then becomes:

Answer:
Step-by-step explanation:
Both 115 and 145 mph are above the mean. Draw a normal curve and mark these speeds. 115 mph is 1 standard deviation above the mean; 130 would be 2 standard deviations above the mean; and 145 would be 3 s. d. above it.
We need to find the area under the standard normal curve between 115 and 145. This is equivalent to the area under the standard normal curve between z = 1 and z = 3.
I used my TI-83 Plus calculator's DISTR function "normalcdf(" to calculate this area: normalcdf(1, 3) = 0.1573.
The area between z = 1 and z = 3 is 0.1573. In other words, the percentage of serves that were between 115 and 145 mph was 15.73%.