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charle [14.2K]
3 years ago
5

The graphs of ​ f(x)=−5/3x+9 ​ and ​ g(x)=2^x−1​ intersect at (3, 4) .

Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0
If they intersect at this point, that means this point is a solution (3,4)
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Mkey [24]

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

<em>Additional comment</em>

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

5 0
3 years ago
ok ok ok i didnt mean to do that other question but if u can answer this correctly ill paypal u a dollar
mash [69]
A dollar ????????????
4 0
3 years ago
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alex has a 48 mile trail first half of the time he was biking twice as fast as the second half of the time if he spent 4 hours o
Irina-Kira [14]

Answer:

16 mph

Step-by-step explanation:

Givens:

4 hours total time

48 miles total distance

So our equation should look like this.

48 = 2x(2) + x(2)

Where x = speed second half of trip.

x = 8

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4 0
3 years ago
A car was bought in 2009 for $120000. it 2016 it value decrease by 20%. it's value decrease by 10% of it's value in 2010.fond th
Romashka [77]

Answer:

<h2>This is the case % decrease</h2><h2>120000*80/100*90/100</h2><h2>=12*80*90</h2><h2>=7200*12</h2><h2>=72000+ 14400</h2><h2>=86400 rs</h2>

Step-by-step explanation:

6 0
3 years ago
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zhuklara [117]

Let

x---------> the thickness of the frame in feet

At-------> Area of the mirror and the frame in square feet

we know that

At=19.25ft^{2} ------> equation 1

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equate equation 1 and equation 2

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therefore

the answer is the option

C. 4x2 + 16x - 4.25 = 0

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