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o-na [289]
3 years ago
8

If f(x) = 8 -3x and g(x) = 4x, solve gf(x) = 80

Mathematics
1 answer:
aev [14]3 years ago
7 0

Answer:

(f-g)(x)= f (x)- g (x) =4^x -1 +6 -(2x-5)

=4^x +5 -2x +5

=4^x -2x +10

Step-by-step explanation:

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Using the triangle below, find the ratio please need help answering for a quiz
Murrr4er [49]
<h3>sin22° = 5/4</h3><h3>tan22° = 3/√55</h3>

As we know that , sinA = opposite/hypotenuse & tanA = opposite/adjacent

So here we can find sin22° , because they already given the sides opposite & hypotenuse . And we can't find tann22° because they given the value of opposite but not given the value of adjacent side of the angle 22°

Now finding the adjacent side using

Pythagoras theorem :-

• Hypotenuse² = Base² + Height²

=> 40² = Base² + 15²

=> 1600 - 225 = Base²

=> Base² = 1375

=> Base = √1375

=> Base = 5√55

Now ,

  • tan22° = Opposite/Adjacent = 15/5√55 = 3/√55
  • sin22° = Opposite/hypotenuse = 15/40 = 5/4

8 0
3 years ago
Differentiate y=xln(3x)​
Ganezh [65]

Answer:

Remove parentheses.

y=xln3x

2 Already solved. No work needed.

y=xln3x

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6 0
3 years ago
Read 2 more answers
LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.<br>​
Brilliant_brown [7]
<h3>Answer:  126</h3>

=====================================================

Work Shown:

Let x and y be the two numbers.

We're given x = 162 and the variable y is unknown.

We're also given LCM = 1134 and HCF = 18

So,

LCM = (x*y)/HCF

1134 = 162*y/18

1134 = (162/18)y

1134 = 9y

9y = 1134

y = 1134/9

y = 126

The other number is 126

---------------------

Notice that

  • 162 = 18*9
  • 126 = 18*7

showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.

Now let,

  • A = multiples of 162
  • B = multiples of 126

So,

  • A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...
  • B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...

We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.

7 0
2 years ago
Swimming 1/4 of a mile uses about the same number of calories as running 1 mile. Glida ran a 26 mile marathon. about how far wou
natulia [17]

Answer:

6.5 miles

Step-by-step explanation:

26/4=6.5 miles

1/4 of a mile per every mile so just divide each mile by 4

7 0
3 years ago
Three-quarter of a number is 15<br> work out four-fifths
Vsevolod [243]
Original number is 20, so 4/5= 16
3 0
3 years ago
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