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AVprozaik [17]
3 years ago
10

The functions f(x) and g(x) are described below: f(x) = 7x + 9 g(x) = 7x −4 The graph of g(x) is obtained by shifting down the g

raph of f(x) by ___ units.
A.) 13
B.) 9
Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0
Correct Answer:
Option A

Solution:

f(x) = 7x + 9
g(x) = 7x - 4

We can re-write g(x) as:

g(x) = 7x + 9 - 13

Since 7x+9 is equal to f(x), we can write:

g(x) = f(x) - 13

This relation shows that g(x) is obtained by shifting f(x) 13 units vertically down. So the correct answer is option A.
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Mary got a piggy bank as a gift with X cents in it. If she saves Y cents each month for a year, how much money will she have in
-BARSIC- [3]

Answer:

The total money she saved in a year = X + 12Y.

Step-by-step explanation:

Mary got a piggy bank as a gift.

Sum of money in the piggy bank while she got it as a gift = X cents

Sum of money she saved = Y cents per month

1 year = 12 months

So, sum of money she saved in 1 year = Y × 12

= 12Y

Hence, the total money she saved in a year = X + 12Y.

3 0
2 years ago
Mr Thompson please help with my new HW
sesenic [268]

Answers:

  1. C) x = plus/minus 11
  2. B) No real solutions
  3. C) Two solutions
  4. A) One solution
  5. The value <u>  18  </u> goes in the first blank. The value <u>  17  </u> goes in the second blank.

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

Explanations:

  1. Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
  2. There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
  3. The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
  4. We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
  5. Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
3 0
3 years ago
Define complementary angles .​
Licemer1 [7]
Either of two angles whose sum is 90 degrees
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3 years ago
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27382-1= What is it only friends answer
Norma-Jean [14]

Answer:

ehhh- i give up

Step-by-step explanation:

6 0
3 years ago
The figure shows a flagpole and its shadow. The shadow has a length of 43 feet and the sun's rays make an angle of 30° with the
Nataliya [291]

Answer:

B, 25 ft

Step-by-step explanation:

This can be modeled as a triangle. Let x be the height of the flagpole. From the picture, we can see that tan30 = x/43. x = 43tan30 = 25 ft.

6 0
2 years ago
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