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ivanzaharov [21]
3 years ago
14

What if we say that x's value is 2. Do 2x and x to the second power have the same value?

Mathematics
1 answer:
Basile [38]3 years ago
8 0
Yes. Substitute 2 for x.

We have
2x=2(2)=2^2=4
x^2=2^2=2(2)=4
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A plane flies at x miles per hour in still air. Flying with a tailwind, its speed is 485 miles per hour. Against the wind, its a
Svetradugi [14.3K]

Answer:20mph

Step-by-step explanation:

speed of plane = x mph

Speed of plane with wind = 485 mph

So therefore, speed of wind =

485 - x

Speed of plane against wind = 445 mph

So therefore, speed of wind =

x - 445

So therefore, equating the 2 equations of speed of wind

485 - x = x - 445

Collect like terms

485 + 445 = x + x

930 = 2x

2x = 930

x = 930/2 = 465 mph

Speed of wind = x = 465mph

So we put this value on any of the equations for speed of wind

Speed of wind = x - 445 = 465 - 445

= 20 mph

So therefore, speed of wind = 20mph

7 0
3 years ago
Roger has 2 1/2 cups of peanut butter. A recipe for a loaf of bread requires 3/4 cups of butter. How many loaves of bread can he
Sergio [31]

Answer:

3 loaves of bread

Step-by-step explanation:

We must divide 2\frac12 by \frac34 and take an integer part of this dividing.

2\frac12:\frac34=\frac52:\frac34=\frac52\cdot\frac43=\frac{20}{6}=\frac{10}3=3\frac13

The integer part of a mixed fraction 3\frac13 is 3, and this is the answer.

6 0
3 years ago
A bank features a savings account that has an annual percentage rate of 4.8 % with interest compounded monthly. Umbrosia deposit
Scilla [17]

S(8)=3500(1+(.047/4))^32

S(8)=$5086.40 in the account after 8 years.

a)The relative growth rate is .25, or 25%

b)at t=0, the population is 955e^.25(0)=955

c)at t=5; the population is 955*e^.25(5)=955*3.49=3333.28 bacterium.

5 0
1 year ago
Evaluate the expression a + c for a = 22 and c = 11.
bixtya [17]

Answer: 33

Step-by-step explanation: substitute a with 22 and c with 11.

22+11=33

4 0
3 years ago
Read 2 more answers
The width of a rectangle is shown below:
Savatey [412]
The distance between points A and C is 7 units, so to find the length we divide 35 by 7 which equals 5. Now we know that points B and D must be 5 units away from A and C, which means that B would be at (2, 3) and D would be at (2, -4). I hope this helps!
7 0
3 years ago
Read 2 more answers
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