<span>The given function is f(x) = (7x + 1)/2. Write it as y = (7x)/2 + 1/2. To determine the inverse do these 3 steps. Step 1: Swap x and y to obtain x = (7y)/2 + 1/2. Step2: Solve for y. First, multiply through by 2 to obtain 2x = 7y + 1. Second, subtract 1 from each side to ontain 2x - 1 = 7y. Third, divide through by 7 to obtain (2x - 1)/7 = y. Step 3: Set y to the inverse of f(x) to obtain f^(-1) (x) = (2x - 1)/7.</span>
Angle AEB and Angle DEC are opposite angles which means they are equal in measure. Hence,
⇛ Angle AEB = Angle DEC
⇛ 9x + 8° = 3x + 42°
⇛ 9x - 3x = 42° - 8°
⇛ 6x = 34°
⇛ x = (34/6)°
<u>To </u><u>find</u><u>:</u> Angle DEC = 3(
34/6 °) + 42° = <u>5</u><u>9</u><u>°</u><u> </u><u>(</u><u>Ans)</u>
Answer:
.64 < 65 % < 2/3 < 7/10
Step-by-step explanation:
To order all the numbers from least to greatest, but all the numbers in the same form (fraction, decimal, or percent). I will put them all in decimal form so that I can compare them.
0.64, .64
2/3 , =.666666repeating
65% = 65/100 = .65
7/10 = .7
.64< .65<.6666repeating<.7
but we need to put them in their original form
.64 < 65 % < 2/3 < 7/10
ANSWER
EXPLANATION
We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,
Now we want to find how far he could go on 16 gallons.
All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.
Recall that: If more, less divides.
This implies that,
Therefore the correct answer is C.