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Delicious77 [7]
3 years ago
9

Prove that x=2 if 4^x=8x...where ^ stands for "to the power of".

Mathematics
1 answer:
Romashka [77]3 years ago
4 0
In order to prove this, you simply plug in the number 2 everywhere you see X:

4^(2) = 8(2). 

Simplify

16 = 16 √

Since this checks out, x is proven to be 2.
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Two more than 16 times a number is the same as 21 less than the product of -7 and the number
slava [35]

Answer:

  • -1

Step-by-step explanation:

<u>Let the number be x, and we have equation:</u>

  • 16x + 2 = -7x - 21
  • 16x + 7x = - 21 - 2
  • 23x = - 23
  • x = -1

The number is -1

7 0
2 years ago
Read 2 more answers
The Taylor family went on vacation. They traveled 412 miles on Monday. At the end of the day Tuesday, the average speed of the c
mixer [17]

Answer:

d = 56x + 412

Step-by-step explanation:

To find the total number of miles traveled on Monday and Tuesday, use a linear equation to write the function.

y = mx+b where m is the speed or rate of change and b is the starting point.

The starting point on Tuesday is 412 miles. This is b.

The number of miles traveled on Tuesday is found by calculating 56 miles times the number of hours traveled.  This is the slope or m.

So the equation is d = 56h + 412.

7 0
3 years ago
How much longer is dinner than the slide show?
shutvik [7]

Answer:

35

Step-by-step explanation:

7 0
2 years ago
X to the power of 6 when x=10
Serjik [45]
The answer is 1000000
4 0
3 years ago
Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle
kupik [55]

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

8 0
3 years ago
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