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Nadya [2.5K]
4 years ago
11

The average of a b c and d is p. If the average of a and c is q, what is the average of b and d in terms of p and q?

Mathematics
1 answer:
vodka [1.7K]4 years ago
4 0
P - q i believe because
p = total average
q = average of ac
x = average of bd
p - q = x

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The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of f
elixir [45]

Answer:

g(x) = 30\cdot x +40; a \approx 1.898, k = 40.

Step-by-step explanation:

The resultant function is obtained by multiplying f(x) by a real number k. That is:

g(x) = k \cdot f (x)

If k = 5 and f(x) = 6\cdot x + 8, then g(x) is:

g(x) = 5\cdot (6\cdot x + 8)

g(x) = 30\cdot x +40

Given that presence of the expression g(x) = 6^{a}\cdot x + k, then:

6^{a} = 30 and k = 40

The value of a is obtained by applying the definition of logarithms:

a = \log_{6}30

a \approx 1.898

Finally, the value of k is found by direct comparison:

k = 40

6 0
3 years ago
omg guys imagine sneezing all day and then next thing hourssss later boom you lost your voice has that ever happened to you
katrin2010 [14]

Answer:

no lol

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Ms. Cassidy plotted the point (2, 3) on Miguel’s graph of y < 2x – 4. She instructed him to change one number or one symbol i
iris [78.8K]

Ms. Cassidy instructed Miguel to change one sign of the graph of y < 2x – 4 so that point (2, 3) can be included in the solution set.

To check which of the given options might Miguel write we check the inequality that holds true for the point (2,3).Substituting x=2 ,y=3 we have:

1) y < 2x – 1

3<2(2)-1

3<3  Not True.

2)y ≤ 2x – 4

3≤ 2(2) -4

3≤ 0  .Not true.

3) y > 2x – 4

3> 2(2)-4

3> 0   True.

4) y < 2x + 4

3<2(2)+4

3<8   True

5) .y < 3.5x – 4

3< 3.5(2)-4

3<3  Not true

6) y < 4x – 4

3<4(2)-4

3<4   True.

Options 3 ,4 ,6 holds true for the point (2,3)


8 0
3 years ago
Read 2 more answers
How many solutions does this equation have? -6b = -7b - 5​
elixir [45]

Answer:

1 solution

Step-by-step explanation:

-6b = -7b -5

-6b +7b = -5

b = -5

8 0
3 years ago
Scientific notation <br> 0.000003408 =
o-na [289]

Answer:

3.408 × 10-6 i think

Step-by-step explanation:

6 0
3 years ago
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