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3 years ago

Simplify each expression 6x + 4y + 5x

Mathematics

2 answers:

Yuri [45]3 years ago

8 0

11x + 4y

combine like terms together (add 6x and 5x)

emmainna [20.7K]3 years ago

6 0

<h3>Answer: 11x+4y</h3>

Explanation:

The like terms are 6x and 5x. They add to 11x since 6+5 = 11, and then we tack x onto each to get 6x+5x = 11x.

You can think 6x representing the idea we have 6 boxes. Then adding on 5x means we have 5 more boxes to get 6+5 = 11 boxes total.

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Consider a nine -year moving average used to smooth a time series that was first recorded in 1961. a. Which year serves as the f

kirill [66]

Answer:

a. 1965

b. 8 years

Step-by-step explanation:

For answers to questions like these it can work to consider the smallest possible dataset.

<h3>Dataset</h3>

For our purpose, consider the 9 years/values to be averaged to be ...

1, 2, 3, 4, 5, 6, 7, 8 ,9

<h3>Observations</h3>

a. The center value of the data set is 5. Its number is 5-1=4 more than the first one.

The first centered value is from the year 1961 +4 = 1965.

b. The 4 values at the beginning, and the 4 values at the end do not have a corresponding "average" value. That is, 4+4 = 8 values in the series are lost with respect to the number of average values.

8 years of values are lost.

5 0

2 years ago

rectangle ABCD is graphed in the cordinate plane. The following are the verticies of the rectangle; A(-6,-4),B(-4,-4),C(-4,-2),

Sholpan [36]

Answer:

Therefore Perimeter of Rectangle ABCD is 4 units

Step-by-step explanation:

Given:

ABCD is a Rectangle.

A(-6,-4),

B(-4,-4),

C(-4,-2), and

D (-6,-2).

To Find :

Perimeter of Rectangle = ?

Solution:

Perimeter of Rectangle is given as

$\textrm{Perimeter of Rectangle}=2(Length+Width)$

Length = AB

Width = BC

Now By Distance Formula we have'

$l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}$

Substituting the values we get

$l(AB) = \sqrt{((-4-(-6))^{2}+(-4-(-4))^{2} )}$

$l(AB) = \sqrt{((2)^{2}+(0)^{2} )}=2\ unit$

Similarly

$l(BC) = \sqrt{((-4-(-4))^{2}+(-2-(-4))^{2} )}$

$l(BC) = \sqrt{((0)^{2}+(2)^{2} )}=2\ unit$

Therefore now

Length = AB = 2 unit

Width = BC = 2 unit

Substituting the values in Perimeter we get

$\textrm{Perimeter of Rectangle}=2(2+2)=2(4)=8\ unit$

Therefore Perimeter of Rectangle ABCD is 4 units

8 0

3 years ago

A daycare center Charges three dollars per hour for preschool children and $4 per hour for infants and toddlers. This equation r

blsea [12.9K]

Answer:

Provide the graphs by editing the question and then I will edit the answer. But the equation answer is $\frac{-4}{3} y + 60$ .

Step-by-step explanation:

7 0

3 years ago

Find the vertex of this parabola: y=-4x^2+8x-12

tatiyna

<span>The vertex of the parabola is the highest or lowest point of the graph.

</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3)

Lets work with this now: </span>x^2 -2x +3

x^2 -2x +3 -> what is the closeset perfect square?
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2

Replacing to original
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8

The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8

This will be the max of the parabola as there is - for the highest factor (-4x^2)

The max: x=1, y= -8

4 0

3 years ago

Read 2 more answers

Guess the rule and add the next number in the sequence.<br> 7, 10, 16, 25, 37,

Delvig [45]

Answer:

Step-by-step explanation:

Let us first closely examine the sequence for any mathematical correlation between the terms of sequence.

It is visualized that the series is progressing with addition of increasing even numbers starting with +6 ( +6, +8, +10, +12, +14, +16, +18 …) in the previous term to obtain next terms of the series. This logic continues for entire series.

The given series is:

1 ,7 ,15 ,25 ,37

Starting with first number of the series

1 + 6 = 7

7 + 8 = 15

15 + 10 = 25

25 + 12 = 37

37 + 14 = 51

51 + 16 = 67

67 + 18 = 85

The extended series is

1, 7, 15, 25, 37, 51, 67, 85

4 0

3 years ago