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vazorg [7]
3 years ago
11

Find the slope of the line that passes through the points (1,10) and (-8,3)

Mathematics
1 answer:
dem82 [27]3 years ago
3 0

We can use the points (1, 10) and (-8, 3) to solve.

Slope formula: y2-y1/x2-x1

= 3-10/-8-1

= -7/-9

= 7/9

Best of Luck!

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A sequence is defined recursively by the formula f(n + 1) = –2f(n). The first term of the sequence is –1.5. What is the next ter
alexgriva [62]

Answer:

  3

Step-by-step explanation:

Put the given numbers in the formula and do the arithmetic.

  f(2) = -2·f(1) = -2·(-1.5) = 3

The next term of the sequence is 3.

8 0
3 years ago
Read 2 more answers
Can anyone answer me this question ​
yuradex [85]

Question 1:

For this case we have the following functions:

f (x) = 4x + 1\\g (x) = x ^ 3 + 1

We must findg_ {o} f (0):

By definition we have to:

g_ {o} f = g (f (x))\\f_ {o} g = f (g (x))

g (f (x)) = (4x + 1) ^ 3 + 1

We substitute x = 0:

g (f (0)) = (4 (0) +1) ^ 3 + 1 = 1 ^ 3 + 1 = 2

So, we have that g (f (0)) = 2

Answer:

g (f (0)) = 2

Question 2:

For this case we have the following functions:

f (x) = 4x + 1\\g (x) = x ^ 3 + 1

We must find f_ {o} g (0):

By definition we have to:

f_ {o} g = f (g (x))\\f (g (x)) = 4 (x ^ 3 + 1) + 1 = 4x ^ 3 + 4 + 1 = 4x ^ 3 + 5

We substitute x = 0:

f (g (0)) = 4 (0) ^ 3 + 5 = 5

Answer:

f (g (0)) = 5

Question 3:

For this case we must find the inverse of the following function:

h (x) = \frac {2x + 1} {3}

To do this, we follow the steps below:

We change y for h (x):

y = \frac {2x + 1} {3}

We exchange variables:

x = \frac {2y + 1} {3}

We clear the value of the variable "y":

3x = 2y + 1\\3x-1 = 2y\\y = \frac {3x} {2} - \frac {1} {2}

We change y for h^{ -1} (x):

h ^{ - 1} (x) = \frac {3x} {2} - \frac {1} {2}

Answer:

h ^ {- 1} (x) = \frac {3x} {2} - \frac {1} {2}

3 0
4 years ago
Related subtraction fact for 5+7=12
AlekseyPX
12-7=5 or 12-5=7, it’s all in the fact families//basic addition
5 0
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50-28=22
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