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Tomtit [17]
3 years ago
15

Plz plz plz help on number 6,7,8,9 I would greatly appre and whoever gets it get brainliest

Mathematics
1 answer:
Luden [163]3 years ago
7 0
6: Yes, it is linear. The constant rate of change is \frac{ y_{2}- y_{1} }{ x_{2}- x_{1} }, which you can make \frac{175-100}{10-5}. This simplifies to 15, so the constant rate of change is 15.

7. Yes, a proportional relationship exists because every output value is exactly three times every corresponding input value.

8. Yes, a proportional relationship exists because every output value is exactly \frac{3}{8} times the corresponding input value.

9. Yes, a proportional relationship exists because every y value is 7.5 times every corresponding x value, and if a line were to be drawn through the points, it would go through the origin (0,0).
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Find an equation of the line that passes through (3,4) and parallel to 4x-2y=5
Alex73 [517]
       4x - 2y = 5
4x - 4x - 2y = -4x + 5
             -2y = -4x + 5
              -2         -2
                y = 2x - 2¹/₂

          y - y₁ = m(x - x₁)
           y - 4 = 2(x - 3)
           y - 4 = 2(x) - 2(3)
           y - 4 = 2x - 6
             + 4        + 4
                y = 2x - 2
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An arithmetic sequence is defined by the general term tn = -5 + (n - 1)78, where n ∈N and n ≥ 1. What is the recursive formula o
Gnoma [55]

Answer:

C

Step-by-step explanation:

In general for arithmetic sequences, recursive formulas are of the form

aₙ = aₙ₋₁ + d,

and the explicit formula (like tₙ in your problem), are of the form

aₙ = a₁ + (n - 1)d,

where d is the common difference. So converting between the two of these isn't so bad. In this case, your problem wants you to have an idea of what t₁ is (well, every answer says it's -5, so there you are) and what tₙ₊₁ is. Using the formulas above and your given tₙ = -5 + (n - 1)78, we can see that the common difference is 78, so no matter what we get ourselves into, the constant being added on at the end should be 78. That automatically throws out answer choice D.

But to narrow it down between the rest of them, you want to use the general form for the recursive formula and substitute (n + 1) for every instance of n. This will let you find tₙ₊₁ to match the requirements of your answer choices. So

tₙ₊₁ = t₍ₙ₊₁₎₋₁ + d ... Simplify the subscript

tₙ₊₁ = tₙ + d

Therefore, your formula for tₙ₊₁ = tₙ + 78, which is answer choice C.

6 0
3 years ago
Read 2 more answers
What is the slope of the line passing through the points (-3,<br> -5) and (-1, - 6)?
Ira Lisetskai [31]

Answer:

-1/2

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -6 - -5)/( -1 - -3)

   = ( -6+5)/( -1+3)

   =-1/ 2

3 0
3 years ago
Read 2 more answers
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