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slamgirl [31]
3 years ago
14

The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21) write an equation, in function nation

, that would fit in the inputs and outputs in the table. Show your work that proves your equation is true for the given data. PLEASE HELP ITS DUE TODAY!!!l
Mathematics
1 answer:
Anni [7]3 years ago
6 0

f(x) = 2x - 1

To obtain a function we require values of x for x = 3, 4, 5 , 6, .....

The output appears to increase in steps of 2

3 → 5

4 → 7

5 → 9

6 → 11

Looking at the consecutive values of y we should see that these are twice the corresponding value of x subtract 1

f(x) = 2x - 1 ← is a possible function

checking the values for x in the input


f(3) =(2 × 3 ) - 1 = 5

f(4) = (2 × 4 ) - 1 = 7

f(6) = (2 × 6 ) - 1 = 11

f(11) = (2 × 11 ) - 1 = 21




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What are the factors of m2 – 12m + 20?
amm1812
M² - 12m + 20

m² ⇒ m * m
20 ⇒ - 10 * -2

(m - 10)(m - 2)
m(m - 2) - 10(m-2)
m² - 2m - 10m + 20
m² - 12m + 20

m - 10 = 0
m = 10

m - 2 = 0
m = 2

5 0
3 years ago
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8x=-4(x+3)<br> I would really appreciate some help
olganol [36]

Answer:

x = -1

Step-by-step explanation:

8x = - 4(x + 3)

8x = -4x - 12

+4x  +4x

<u>12x = -12</u>

12       12

x = -1

  • Remember, a negative times a positive equals a negative
  • Remember, a negative divided by a positive equals a negative

Hope this helps you!!! :)

4 0
3 years ago
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Which choice is the solution to the inequality below?
Georgia [21]
<h3>hello!</h3>

In order to solve this inequality, we should divide both sides by 9:-

\sf{9x < 72}

Why 9? Because x is multiplied by 9, and we need to isolate x in order to find its value.

\sf{x < 8}

Hence, that's the solution to the inequality.

<em>It also means that the numbers less than 8 will satisfy the given inequality (make the inequality true)</em>

(Option C is correct :) )

<h3>note:-</h3>

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

8 0
2 years ago
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The equation of a circle is given below. x ^2 +(y-2.25)^2 =196/169. What is the center? What is the radius?
yuradex [85]

Answer:

center : (0, 2.25)

radius: 14/13

Step-by-step explanation:

x^2+(y-2.25)^2=196/169

Rewrite x^2+(y-2.25)^2=196/169

(x-0)^2+(y-2.25)^2=(14/13)^2

c=(0,2.25),r= (14/13)

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3 0
3 years ago
Find b and s. At The present time Mrs. B's age is six years more than four times her sons age. Three years ago she was seven tim
padilas [110]

Answer:

Mrs. B's age = y = 38 years

her son's age = x = 8 years

Step-by-step explanation:

To Find:

Mrs. B's age = y =?

her son's age = x = ?

Solution:

Let Mrs. B's age  be 'y' years

and her son's age be 'x' years

Three years ago Mrs B's will be (y - 3) and her son's age will be (x - 3)

According to the first given condition,

y = 6 + 4x ...............Equation ( 1 )

According to the second given condition,

(y - 3 ) = 7 (x - 3 )..........Equation ( 2 )

equating equation 1 in equation 2 we get

6 + 4x -3 = 7x - 21

7x - 4x = 21 + 3

∴ 3x=24\\\therefore x =\frac{24}{3} \\\\\therefore x =8\ years

Now substitute x in equation 1 we get

y = 6 + 4×8

y = 6 + 32

∴ y = 38 years

Mrs. B's age = y = 38 years

her son's age = x = 8 years

6 0
3 years ago
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