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trasher [3.6K]
3 years ago
15

If k(x) = 5x - 6, which expression is equivalent to (k + k)(4)?

Mathematics
2 answers:
ycow [4]3 years ago
5 0

\large \boxed{(k + k)(4) = k(4) + k(4)}

First, we find the value of k(4). We can find the value of k(4) by substituting x = 4 in k(x).

\large{k(x) = 5x - 6  \longrightarrow k(4) = 5(4) - 6} \\  \large{k(4) = 20 - 6 \longrightarrow 14}

Therefore the value of k(4) is 14. Next we find k(4)+k(4) which is equivalent to 14+14. Hence, the value of (k+k)(4) is 28. There's also another method.

\large \boxed{(k + k)(4) = 2k(4)}

As we know k(4) is 14. Therefore 2k(4) is 2×14 = 28.

Answer

  • (k+k)(4) = 28

kogti [31]3 years ago
3 0
28! hope this helps, you just plug in 4 for x, and then multiply by two.
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What is the explict formula for the arithmetic sequence -7.5,-9,-10.5,-12
elena-14-01-66 [18.8K]

Answer:

<u>x = -7.5 - 1.5(n−1) </u>

Step-by-step explanation:

the explicit formula for the arithmetic sequence has the form

x = a + d(n−1)

a is the first term and d is the common difference

The given arithmetic sequence is

-7.5,-9,-10.5,-12

The first term is -7.5

d = common difference = -9 - (-7.5) = -1.5

∴ x = -7.5 - 1.5(n−1)

8 0
3 years ago
Please Help Me With This Math Problem
gizmo_the_mogwai [7]

Answer:

Yes the relationship is linear and given by:

y+2=-\frac{5}{4} \,(x+9) (first option of your list)

Step-by-step explanation:

Yes, it is a linear expression. As we did in previous exercises, we calculate the difference between consecutive y values of the table, and write down the answers we get:

-7-(-2) = -7+2 = -5

-12-(-7) = -12 +7 = -5

-17 - (-12) = -17 + 12 = -5

We notice that all of them give "-5"

Now we evaluate the difference between consecutive x-values in a similar fashion:

-5 -(-9) = -5+9 = 4

-1-(-5) = -1+5 = 4

3-(-1) = 3+1 = 4

We see that they all give 4 as the difference.

That means that the rate of change \frac{y_2-y_1}{x_2-x_1} =\frac{y_3-y_2}{x_3-x_2}=\frac{y_4-y_3}{x_4-x_3}=\frac{-5}{4}

This means that the slope (rate of change) of the line is "-5/4"

We can now use the general point-slope form to write the equation of the line, using the first pair of the table as our selected point, and using "-5/4" for the slope:

y-y_0=m\,(x-x_0)\\y-(-2)=-\frac{5}{4} \,(x-(-9))\\y+2=-\frac{5}{4} \,(x+9)

which is the first expression listed among your possible answer choices.

4 0
2 years ago
Help on $3.70÷2=no clue
Daniel [21]
3.7/2 = 1.85
2 goes into 3 1 time.
you have a remainder of 1
That one gets a 7 after it
now you have 17
2 goes into 17 8 times
remainder of 1
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You get 10 and that's 5
so you have 1.85
1.85$
3 0
3 years ago
Read 2 more answers
A recreation center ordered a total of 15 try schools and bicycles from a sporting good store. The number of wheels for all tric
Juli2301 [7.4K]

Answer: The linear system of equations that models this scenario are

T + B = 15

3T + 2B = 38

Step-by-step explanation:

Let T represent the number of tricycles.

Let B represents the number of bicycles ordered.

The recreation center ordered a total of 15 tricycles and bicycles from a sporting good store. It is expressed as

T + B = 15

A tricycle has three wheels. A bicycle has 2 wheels. The number of wheels for all tricycles and bicycles total 38. The expression would be

3T + 2B = 38

6 0
3 years ago
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