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Anvisha [2.4K]
3 years ago
7

the values in the table represent a linear function. what is the common difference of the arithmetic sequence x: 1 2 3 4 5 y: 11

25 39 53 67
Mathematics
2 answers:
Andreyy893 years ago
5 0

Answer:

The common difference of the arithmetic sequence is 14.

Step-by-step explanation:

The arithmetic sequence is defined as

x:   1     2    3    4    5

y:  11   25  39  53   67

The common difference of the arithmetic sequence is

d=\frac{y_2-y_1}{x_2-x_1}

Consider any two points, i.e.,(1,11) and (2,25).

d=\frac{25-11}{2-1}

d=\frac{14}{1}

d=14

Therefore the common difference of the arithmetic sequence is 14.

GenaCL600 [577]3 years ago
3 0

Answer:

common difference: 14

Step-by-step explanation: You have to find out what number it takes to add to the number to get the following number. ex 11+14=25      25+14=39 etc


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galben [10]

Answer: 15r^2-21r+5

Step-by-step explanation:

Given: Perimeter of triangular garden = 25r^2 - 9r + 14

The sum of two sides of the garden = 10r^2 + 12r + 9

Perimeter is the sum of all sides of a triangle.

Third side = Perimeter of triangular garden - sum of two sides of the garden

=25r ^ 2 - 9r + 14-(10r ^ 2 + 12r + 9)\\\\=25r ^ 2 - 9r + 14-10r ^ 2 - 12r - 9\\\\=15r^2-21r+5

The expression represent the third side = 15r^2-21r+5.

5 0
3 years ago
Solve this system of linear equations.separate the x- and y-value with a comma. -6x=-4-y -7x=-22+y.
scZoUnD [109]

Answer:

(2,8)

Step-by-step explanation:

Add them together to get rid of the y.

-6x = -4 - y

-7x = -22 + y

=

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Then solve for x.

-13x/-13 = -26/-13

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Now plug in the x value into either equation and solve for y.

-7(2) = -22 + y

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8 0
3 years ago
Read 2 more answers
Which equation could represent p? Please please help
Andre45 [30]

Answer:

<h2>P(x) = (x+3)(x-2)^2</h2>

Step-by-step explanation:

Looking at the brackets you can see where the curve will intersect the x-axis.

The graph shows the curve intersecting at (0,-3) and (0,2).

This means:

x = -3

AND

x = 2

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This will be the values in the brackets.

Because the curve only touches 0,2 and DOES NOT cross it, we know that x - 2 is a repeated root, hence (x-2) is squared.

Therefore your brackets are: (x+3)(x-2)(x-2)

Which can be simplified:

(x+3)(x-2)^2

Where ^2 means squared.

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irga5000 [103]
I don’t know thanks for the points
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Find the minimum value of the region formed by the system of equations and functions below.
Naily [24]

Answer:

  A.  -12

Step-by-step explanation:

A graph shows the vertices of the feasible region to be (0, 6), (3, 0) and (0, -3). Of these, the one that minimizes f(x, y) is (0, -3). The minimum value is ...

  f(0, -3) = 3·0 + 4(-3) = -12

_____

<em>Comment on the graph</em>

Here, three regions overlap to form the region where solutions are feasible. By reversing the inequality in each of the constraints, <em>the feasible region shows up on the graph as a white space</em>, making it easier to identify. The corner of the feasible region that minimizes the objective function is the one at the bottom, at (0, -3).

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3 years ago
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