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3 years ago

Here are the first five terms of a sequence.

Mathematics

1 answer:

Levart [38]3 years ago

8 0

Answer:

So the formula for the sequence is

Second term =first term + (a+nd)

Third term = second term + (a+nd)

And so on

Where n start with zero

Step-by-step explanation:

3 8 17 30 47

First term = 3

Second term = 8

Third term = 17

Fourth term = 30

Fifth term = 47

Second term - first term = 8-3=5

Third term - second term = 17-8= 9

Fourth term - third term = 30-17=13

Fifth term - fourth term = 47-30=17

So the AP is 5 9 13 17

We find out that the common difference is 9-5 = 4

The formula for nth term of the AP is

= a + nd

So the formula fir the sequence is

Second term =first term + (a+nd)

Third term = second term + (a+nd)

And so on

Where n start with zero

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Write an inequality, in slope-intercept form, for the graph below. If necessary,

d1i1m1o1n [39]

Answer:not 100 % sure but I can write a slope intercept form equation, but not an inequality. I would need a picture of the graph to write an inequality.

First find slope: (y2 - y1)/(x2 - x1) Slope is 3

Choose a point then use point slope form y - y1 = m(x - x1) It is y - 1 = 3(x - 1)

Now simplify:

y - 1 = 3(x - 1)

y - 1 = 3x - 3

y = 3x - 2

Step-by-step explanation:

8 0

2 years ago

Passes through (3, 4) and (5, -4) how do I solve

nikitadnepr [17]

Answer:

y = - 4x + 16

Step-by-step explanation:

Assuming you require the equation of the line passing through the points.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 4) and (x₂, y₂ ) = (5, - 4)

m = $\frac{-4-4}{5-3}$ = $\frac{-8}{2}$ = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 4), then

4 = - 12 + c ⇒ c = 4 + 12 = 16

y = - 4x + 16 ← equation of line

8 0

2 years ago

A sample of a population of 100 students is collected. Five students playing dodge ball at recess are asked if they prefer playi

SOVA2 [1]

Answer:

D. The students are not part of the population

Step-by-step explanation:

The first three options are true of this sample. D is the only option that is not true.

7 0

2 years ago

-3(-x+4)=5+3(x+1) please help

Lostsunrise [7]

Answer:

No solution.

Step-by-step explanation:

Step 1: Write equation

-3(-x + 4) = 5 + 3(x + 1)

Step 2: Solve for x

Distribute: 3x - 12 = 5 + 3x + 3
Combine like terms: 3x - 12 = 3x + 8
Subtract 3x on both sides: -12 ≠ 8

Here, we see that x has to equal no solution. No value of x would make the equation true.

3 0

3 years ago

Read 2 more answers

Find the height of a right square pyramid that has a rectangular base area of 70 square units and a volume of 140 cubic units.

Lostsunrise [7]

Answer:

B. 6 units

Step-by-step explanation:

$V = {a}^{2} \frac{h}{3} \\ \\ 140 = 70( \frac{h}{3}) \\ \\ 6 = h \\ \\ 140 = 70(2)$

I am joyous to assist you anytime.

5 0

2 years ago