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4 years ago

Explain how to wrie a function rule from the table then write one

Mathematics

1 answer:

ipn [44]4 years ago

6 0

Answer:

See example below.

Step-by-step explanation:

If the function has the table:

x f(x)

-3 -6

-2 -4

-1 -2

0 0

Step 1 : Looking at the table, find a pattern. This table f(x) deceases by 2 each time. This is a constant rate of change called slope.

Step 2: Recognize the pattern. Since it is decreasing by 2 each time, this is a linear function. Its equation can be written using y = mx+b.

Step 3: Use the form, y =mx + b and substitute m and b.

Step 4: The slope is m . The slope is -2. m = -2.

Step 5: Find the y-intercept. b is the y-intercept or starting point where x = 0. When x=0, the table shows y=0. So b=0.

This means the rule is y = -2x.

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What is the 30 60 90 rule and the 45 45 90 rule (to do with triangles)

Sphinxa [80]

The 30,60,90 - the hypotenuse is equal to twice the length of the shorter leg , the hypotenuse side =2x , the shortest side =x and the straight side is x square root 3

7 0

3 years ago

If angle 1 is 110°, what would the other angle measures

Iteru [2.4K]

Answer:

If Angle 1 is 110,

then the second angle to complete the straight angle (180 degrees) is...

180 - 110 = 70

Angle 2 = 110 (same as Angle 1, plus it's obtuse)

Angle 3 = 70 (it's acute)

Angle 4 = 70 (same as Angle3, plus it's acute)

3 0

3 years ago

Read 2 more answers

1) 17, 29, 32, 9, 30, 14, 8, 39, 11, 32, 23 Minimum : Maximum: Q1: Q2: Q3:

Lisa [10]

Answer:

Minimum: 8

Maximum: 39

Q1: 11

Q2: 23

Q3: 32

Step-by-step explanation:

Set the numbers into numerical order

8 9 11 14 17 23 29 30 32 32 39

Then separate into quarters

[8 9 11] [14 17 23] [29 30 32] 32 39

6 0

3 years ago

Solve 10=1.75 + .65x and show steps

Oduvanchick [21]

10-1.75 = 0.65x
9.25 =0.65x
9.25/0.65=x

then simplify or find the exact solution

5 0

3 years ago

A geometric sequence is defined by the equation an = (3)3 − n.

Delvig [45]

PART A

The geometric sequence is defined by the equation

$a_{n}=3^{3-n}$

To find the first three terms, we put n=1,2,3

When n=1,

$a_{1}=3^{3-1}$

$a_{1}=3^{2}$

$a_{1}=9$
When n=2,

$a_{2}=3^{3-2}$
$a_{2}=3^{1}$

$a_{2}=3$

When n=3

$a_{3}=3^{3-3}$

$a_{3}=3^{0}$
$a_{1}=1$
The first three terms are,

$9,3,1$

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
$r= \frac{a_{2}}{a_{1}}$
$r = \frac{3}{9}$

$r = \frac{1}{3}$

PART C

To find
$a_{11}$

We substitute n=11 into the equation of the geometric sequence.

$a_{11} = {3}^{3 - 11}$

This implies that,

$a_{11} = {3}^{ - 8}$

$a_{11} = \frac{1}{ {3}^{8} }$

$a_{11}=\frac{1}{6561}$

4 0

3 years ago