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Rasek [7]
3 years ago
15

16^3x+8^x+6Could you please give me the steps as well for this problem? ​

Mathematics
1 answer:
BARSIC [14]3 years ago
8 0

Answer:

x = 2

Step-by-step explanation:

16^{3x} = 8^{x+6} \\2^{4(3x)} = 2^{3(x+6)} --> (16 = 2^{4} and 8 = 2^{3} )

2^{12x} = 2^{3x+18}

Since the base number is 2, the exponents must equal each other.

So:

12x = 3x+18

9x = 18

x = 2

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A rational expression is the same way that any integer is also a rational number. You can stick to any polynomial in the numerator of a fraction and put "1" in the denominator.
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3 years ago
Can someone help me, im really stuck.
tresset_1 [31]

Answer:

(x/4) +1 OR (4/x)+1

Step-by-step explanation:

5 0
3 years ago
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Find the value of 81 3x
mezya [45]

Answer:

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7 0
2 years ago
For 30 minutes you do a combination of walking and jogging At the end of your workout your screen displays 2.5 miles you know th
tigry1 [53]

Let the time spent in walking = x minutes

And the time spent in jogging = y minutes

If I walk with the speed = 0.05 miles per minute

Distance covered in walking = Speed × Time

                                                 = 0.05x miles

If I jog with the speed = 0.1 miles per minute

Distance covered in jogging = Speed × Time

                                                 = 0.1y miles

Since, screen displays the distance covered in walking and jogging = 2.5 miles

Equation for the situation will be,

0.05x + 0.1y = 2.5

5x + 10y = 250

x + 2y = 50 -------(1)

Total time spent in walking and jogging = 30 minutes

Therefore, equation for the situation will be,

x + y = 30 ----- (2)

By subtracting equation (2) from equation (1),

(x + 2y) - (x + y) = 50 - 30

y = 20 minutes

By substituting the value of y in equation (2),

x + 20 = 30

x = 10 minutes

Therefore, time spent in walking is 10 minutes and time spent in jogging is 20 minutes.

Learn more,

brainly.com/question/17412056

5 0
3 years ago
A football is passed through the air and caught at ground level for a touchdown. The height of the ball (h) is given by h= -d² +
IgorC [24]

Answer:

d = 6+sqrt(42)=12.4807407

Step-by-step explanation:

h= -d² + 12d + 6

The ball is caught at ground level  which means h=0

0 =  -d² + 12d + 6

Subtract 6 from each side

-6 = -d^2 +12d

Factor out a - sign

-6 =-(d^2-12d)

Divide by -1

6 = d^2 -12 d

Complete the square

-12/2 = -6  then square it = 36

Add 36 to each side

6+36 = d^2 -12d +36

42 = (d-6)^2

Take the square root of each side

±sqrt(42) = sqrt( (d-6)^2)

±sqrt(42) =  (d-6)

Add 6 to each side

6±sqrt(42) =  (d-6)+6

6±sqrt(42) =  d

d = 6+sqrt(42)=12.4807407

d =6- sqrt(42)=-.480740698

Since the distance cannot be negative

3 0
3 years ago
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