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cupoosta [38]
3 years ago
7

The sum of four consecutive integers if the first integer is x.

Mathematics
1 answer:
serg [7]3 years ago
7 0

Answer:

The sum of four consecutive integers if the first integer is x

x + x+y+x+2 y + x+3 y = 4 x + 6 y

S_{4} = 4 x + 6 y

Step-by-step explanation:

<u>Explanation</u>:-

Let x, y are two integers are in Arithmetic progression

In Arithmetic progression the four consecutive integers are starting integer 'x'

x , x+y , x+2 y , x+3 y

The sum of four consecutive integers if the first integer is x

x+x+y+x+2 y+x+3 y

S_{4} = 4 x + 6 y

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write the equation of a line in slope intercept form that passes through (2 -2) and is parallel to 2x+4y=8
Ne4ueva [31]

Answer:

y= -1/2x-1

Step-by-step explanation:

1) put the equation in y-intercept form to find the slope of the original line 2x+4y=8

y=8/4-2x/4

y=2-1/2x

slope of second line will be -1/2

2) put point into the point-slope form (2,-2)

y-(-2)= -1/2(x-2)  now simplify

y+2= -1/2x+2/2

y+2 = -1/2x + 1

y+2-2=-1/2x + 1 -2 ====>>>>  y= -1/2x-1

8 0
3 years ago
Larry spends half of his workday teaching piano lessons. If he sees 6 students, each for the same amount of time, what fraction
Marina CMI [18]

Answer:

1/12

Step-by-step explanation:

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7 0
3 years ago
PLSSS HELP
Dennis_Churaev [7]

The correct standard form of the equation of the parabola is:

(x+3)^{2}= 4(y - 3).

<h3 /><h3>What is a parabola?</h3>

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix). An essential curve of the coordinate geometry's conic sections is the parabola.

For the given question,

Vertex of parabola is (-3,3)

Thus, the equation of the parabola is:

(x-h)^{2}=4(y-k)

(x+3)^{2}= 4(y-3)

Learn more about parabolas here:

brainly.com/question/64712

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4 0
2 years ago
Choose each number that shows 1/2 % as an equivalent fraction, decimal, or percent. Select all that apply.
stepladder [879]

Answer:

(1/2)% = 0.5% =0.5/100 = 0.005

=> Option E is correct.

Hope this helps!

:)

7 0
3 years ago
Read 2 more answers
Which statement best describes how to determine whether f(x) = 9- 4x4 is an odd function?
vitfil [10]

Answer:

Option C.

Step-by-step explanation:

Note: In the given function the power of x should be 2 instead of 4, otherwise all options are incorrect.

Consider the given function is

f(x)=9-4x^2

If f(-x)=f(x), then f(x) is an even function.

If f(-x)=-f(x), then f(x) is an odd function.

Now, substitute x=-x in the given function.

f(-x)=9-4(-x)^2

f(-x)=9-4(x)^2

f(-x)=f(x)

So, the given function not an odd function. It means it is an even function.

To check whether the given function is odd, we have to determine whether 9-4(-x)^2 is equivalent to -(9-4(x)^2).

Therefore, the correct option is C.

6 0
3 years ago
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