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Sati [7]
3 years ago
5

Write an equation that represents the relationship between the independent and dependent quantities listed in the table. The tab

le reads as follows:
Input (x) 1 2 3 4
————
output (y) 3 5 7 9
Mathematics
1 answer:
nlexa [21]3 years ago
5 0
First, we can note that the relation between the independent and the dependent variables is a linear relation.

We will need two points: (1,3) and (2,5)
The general form of the equation of the linear line is:
y = mx + c where m is the slope and c is the y-intercept

To get the slope, we will use the following rule:
m = (y2-y1) / (x2-x1)
m = (5-3) / (2-1) = 2
The equation of the line now becomes:
y = 2x + c

To get the value of the c, use any of the given points and substitute in the equation. I will use (1,3) as follows:
y = 2x + c
3 = 2(1) + c
c = 3-2 = 1

Therefore, the equation of the line is:
y = 2x + 1
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Jeanine Baker makes floral arrangements. She has 10 different cut flowers and plans to use 6 of them. How many different selecti
Alex Ar [27]

Answer:

210 ways

Step-by-step explanation:

In the question, the combination should be computed.

Number of ways of selection 6 flowers = nCr =10C6

                                           \frac{n!}{r!(n-r)!}  =\frac{10!}{ 6!(10-6)!}

                                                        =3628800/17280

                                                       =210

Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.

4 0
3 years ago
What is the sum of 3m + 7y + 5 - m - 6y?
nevsk [136]
3m + 7y + 5 + -1m + -6y = 0
Reorder the terms:5 + 3m + -1m + 7y + -6y = 0
Combine like terms: 3m + -1m = 2m5 + 2m + 7y + -6y = 0
Combine like terms: 7y + -6y = 1y5 + 2m + 1y = 0
Solving5 + 2m + 1y = 0
Solving for variable m'.
Move all terms containing m to the left, all other terms to the right.
Add '-5' to each side of the equation.5 + 2m + -5 + 1y = 0 + -5
Reorder the terms:5 + -5 + 2m + 1y = 0 + -5
Combine like terms: 5 + -5 = 00 + 2m + 1y = 0 + -52m + 1y = 0 + -5
Combine like terms: 0 + -5 = -52m + 1y = -5
Add '-1y' to each side of the equation.2m + 1y + -1y = -5 + -1y
Combine like terms: 1y + -1y = 02m + 0 = -5 + -1y2m = -5 + -1y
Divide each side by '2'.m = -2.5 + -0.5y
Roots  m=-2.5 + -0.5y

Simplify the following:3 m + 7 y + 5 - m - 6 y
Grouping like terms, 3 m + 7 y + 5 - m - 6 y = (7 y - 6 y) + (3 m - m) + 5:(7 y - 6 y) + (3 m - m) + 5
7 y - 6 y = y:y + (3 m - m) + 5
3 m - m = 2 m:Answer:  y + 2 m + 5
Not sure what you need so I gave you Simplification and Roots.


8 0
3 years ago
A 12-foot wire supports a tree creating a 48 degreee angle. What is the closest distance up the tree that the wire reaches?
BartSMP [9]

The closest distance up the tree where the wire reaches is 17.93 foot.

<u>Explanation:</u>

Given-

Length of the wire, L = 12 foot

angle, Ф= 48°

Distance upto which the wire reaches the tree, x = ?

We know,

cos Ф = base/ hypotenuse

cos 48° = 12/ x

0.669 = 12/x

x = 17.93 foot

Therefore, the closest distance up the tree where the wire reaches is 17.93 foot.

5 0
3 years ago
What is -5x^2+7x+1 from 8x^2+x-10
Oliga [24]

Answer:

13x^2 - 6x -11

Step-by-step explanation:

8 0
2 years ago
172 - 15x = 7 simply <br>​
tensa zangetsu [6.8K]

Answer:

172 - 15x = 7

-15x = 7 - 172

x = -165/-15

x = 11

7 0
3 years ago
Read 2 more answers
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