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fgiga [73]
3 years ago
6

The function f(x)=x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)

Mathematics
1 answer:
Lelechka [254]3 years ago
5 0

Answer:

g(x) = (x-4)^2 + 9

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A math tutor earns $40 an hour tutoring teenagers. Sometimes he will meet with two students at once and get paid $80 per hour to
kati45 [8]

Answer:

It should be linear if you let the variable t represent the time tutoring for ONE student,   so   y = 40*t   where t = number of hours for ONE student

so  if the tutor taught  2 students for 2 hours together, then t = 2*2 = 4 hours

Step-by-step explanation:

y = 40t

t = tutoring hours for ONE unique student...

4 0
3 years ago
What is the equation of the line that passes through point (4, 12) and has a y-intercept of —2?
zmey [24]

Answer:

<h2>y = 3.5x - 2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

<h3>y = mx + b</h3>

m - slope

b - y-intercept

We have y-intercept b = -2. Substitute:

<h3>y = mx - 2</h3>

We have the point (4, 12) → x = 4, y = 12. Put them in the equation:

12 = 4m - 2         <em>add 2 to both sides</em>

14 = 4m       <em>divide both sides by 4</em>

14/4 = m → m = 3.5

5 0
3 years ago
Read 2 more answers
Solve the equation using elimination. Is this a consistent, inconsistent, or dependent? What is the solution
Basile [38]

9514 1404 393

Answer:

  (x, y) = (-1, -3)

Step-by-step explanation:

The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.

__

We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.

  -4(2x -7y) +7(7x -4y) = -4(19) +7(5)

  -8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses

  41x = -41 . . . . . simplify

  x = -1 . . . . . . . divide by 41

Using the second equation, we find y to be ...

  (7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3

So, the solution is (x, y) = (-1, -3).

7 0
3 years ago
Suppose the population of a certain city is 5289 thousand. It is expected to decrease to 4530 thousand in 50 years. Find the per
Tcecarenko [31]

Answer:

14.4% decrease

Step-by-step explanation:

Here is the formula for finding the percentage of decrease:

(starting value - final value) / starting value * 100.

So for your question,

\frac{5289-4530}{5289} =.0144\\.0144 * 100 = 14.4\\/

There was a 14.4% decrease within 50 years.

5 0
3 years ago
Kimberly uses 6.7 pints of blue paint in white paint to paint her bedroom walls 3/5 of this amount is blue paint and the rest is
Elodia [21]

Answer:

  2.68 pints

Step-by-step explanation:

The fraction of white paint is 1 -3/5 = 2/5, so the quantity of white paint is ...

  (2/5)(6.7 pints) = 2.68 pints

Kimberly used 2.68 pints of white paint.

5 0
3 years ago
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