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Lerok [7]
3 years ago
8

8 + - 8 over 7 simplest form

Mathematics
1 answer:
inn [45]3 years ago
6 0

Answer:

0

Step-by-step explanation:

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Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480
Alja [10]

Answer:

5040

Step-by-step explanation:

The given series is :

24 + 48 + 72 + 96 +...+ 480

The first term, a= 24

Common difference, d = 24

The last term, a_n=480

Let there are n terms in the AP.

So,

a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20

There are 20 terms in the series. The sum of 20 terms is :

S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040

So, the sum of the given arithmetic series is equal to 5040.

8 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?|
padilas [110]

Answer:

1st option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

\frac{y-1}{2} = x

Change y back into terms of x with x being the inverse h(x)

h(x) = \frac{x-1}{2} = \frac{1}{2} x - \frac{1}{2}

6 0
2 years ago
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?
UkoKoshka [18]

The equation of the line parallel to given line and passing through (-3, 1) will be y – 1 = (3/2)(x + 3). Then the correct option is D.

<h3>What is the equation of line?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope of the parallel lines are equal.

m = (2 + 4) / (2 + 2)

m = 6/4

m = 3/2

Then the equation of the line will be

y = (3/2)x + c

The line is passing through (-3, 1). Then the value of c will be

1 = (3/2)(-3) + c

c = 9/2 + 1

Then the equation will be

     y = (3/2)x + 9/2 + 1

y – 1 = (3/2)(x + 3)

Then the correct option is D.

More about the equation of line link is given below.

brainly.com/question/21511618

#SPJ1

5 0
2 years ago
In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line {with center A and a s
masya89 [10]

Answer:

C' (-4 , 2)

slope of new line = line "L" = -2

Step-by-step explanation:

C (x₀,y₀): (0,2)    dilation center (h,k): (2,2)     scale factor (sf): 3

C' (x,y)

x = 2 + 3*(0-2) = -4            x = h + sf*(x₀ - h)

y = 2 + 3*(2-2) = 2             y = k + sf*(y₀ - k)

C' (-4 , 2)

slope of new line = line "L" = -2

8 0
2 years ago
X= <br><br> A.)2<br> B.)6<br> C.)3.75
viva [34]

Answer:

the answer is 3.75

Step-by-step explanation:

because 3/5 equal to 4/x. x=3.75

3 0
3 years ago
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