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creativ13 [48]
4 years ago
14

Which function is represented by the graph below?

Mathematics
1 answer:
UkoKoshka [18]4 years ago
6 0

Answer:

  f(x) = 3^x -3

Step-by-step explanation:

The horizontal asymptote of an unmodified exponential function is y=0. Here, the horizontal asymptote is y=-3, so your answer will be of the form ...

  f(x) = [some growing exponential term] -3

Only the second selection has this form. It also matches the given graph at x=1.

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Triangle ABC has vertices A(0,6) B(4,6) C(1,3). Sketch a graph of ABC and use it to find the orthocenter of ABC. Then list the s
Allisa [31]

For line B to AC:  y - 6 = (1/3)(x - 4);  y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14

For line A to BC:  y - 6 = (-1)(x - 0);  y - 6 = -x, so y + x = 6

Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:

(3y - x = 14) + (y + x = 6) =>  4y = 20, y = +5;  Substitute this into y + x = 6:  5 + x = 6, x = +1

<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>

5 0
3 years ago
A car can average 140 miles on 5 gallons of gasoline. Write any equation for the distance d in miles the car can travel on g gal
ser-zykov [4K]

d=28g I might be wrong, but we can find this by dividing 140 by five, which equals 28.

7 0
3 years ago
Read 2 more answers
When we reject the null hypothesis, we would expect the variance ratio, over the long run, to be:_________
FinnZ [79.3K]

Answer:

Cuando rechazamos la hipótesis nula, esperaríamos que la razón de varianza, a largo plazo, sea: <u>mayor al valor crítico.</u>

Step-by-step explanation:

5 0
3 years ago
C+ax=dx<br><br><br>this one has all variables and no numbers
sergeinik [125]
That's OK, but you have not said which variable you want to solve it for.

<u>To solve for 'x':</u>
                                           <span>c + ax = dx

Subtract c from each side:    ax = dx - c

Subtract  dx  from each side:   ax - dx = -c

Factor the left side:                 x (a - d) = -c

Divide each side by (a - d) :      x = -c / (a - d)  or  <u>x = c / (d - a)</u> .

</span><span><u>To solve for 'c': </u>
</span><span>                                   c + ax = dx

Subtract  ax  from each side and factor:   <u>c  = x (d - a) </u>

</span><u>To solve for 'd': </u>
                                      <span>c + ax = dx

Divide each side by 'x':     d = c/x + a .

<u>To solve for 'a':</u>
</span><span><span>                                           c + ax = dx</span>

Subtract 'c' from each side:    ax = dx - c

Divide each side by 'x':          <u>a = d - c/x </u>.
.</span>
6 0
3 years ago
Which operation should be used to solve x - 5 = 12?
Arlecino [84]

Answer:

addition

Step-by-step explanation:

if u add 5 to both sides, the -5 and the +5 would cancel out, leaving you with x=17

5 0
3 years ago
Read 2 more answers
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