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liubo4ka [24]
3 years ago
13

Arithmetic sequence

Mathematics
1 answer:
HACTEHA [7]3 years ago
8 0

Answer:18

Step-by-step explanation:

Note: Mathematicians start counting at 1, so by convention, n=1 is the first term. So we must define what the first term is. Then we have to figure out and include the common difference.

Taking a look at the examples again,

Sequence: 1, 2, 3, 4, … | Formula: a(n) = n + 1 | Recursive formula: a(n) = a(n-1) + 1, a(1) = 1

Sequence: 3, 8, 13, 18, … |Formula: b(n) = 5n - 2 | Recursive formula: b(n) = b(n-1) + 5, b(1) = 3

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Which graph represents the linear function y = x 3/4– 4?
ahrayia [7]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y=\frac{3}{4}x-4

This is a linear equation (the graph is a line)

To identify the graph find out the intercepts

<u><em>Find out the y-intercept</em></u>

The y-intercept is the value of y when the value of x is equal to zero

For x=0

y=\frac{3}{4}(0)-4=-4

The y-intercept is the point (0,-4)

<u><em>Find out the x-intercept</em></u>

The x-intercept is the value of x when the value of y is equal to zero

For y=0

0=\frac{3}{4}x-4

\frac{3}{4}x=4

x=16/3=5.33

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therefore

The graph in the attached figure

3 0
2 years ago
If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (StartFraction u Over v EndFraction) (x)? x3 – x2 –x3 +
Len [333]

Answer:

^^look at the picture above it give you the answer^^

Step-by-step explanation

and the answer is C

your welcome hope it helps

7 0
3 years ago
If ■JKLM= ■CBDA which pair must be congruent
Korolek [52]
B. because jk and cb are on the same spot
7 0
3 years ago
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Find the taxable income of a married couple with two children, who have a combined income of $75,000.
Dima020 [189]

Answer:

$47,200

Step-by-step explanation:

Given :

The total income of a married couple =  $75,000.

Number of children = 2

Therefore to find the taxable income of  a U.S.  family is given by the following formula ---

taxable income = total income- exemption deduction - standard deduction

We know that exemption deduction for a U.S couple as fixed by the government is $15,600.

And the standard deduction for a U.S couple as fixed by the government is $12,200.

Thus in order to find the taxable income of the couple, use the formula

taxable income = total income- exemption deduction - standard deduction

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Thus the taxable income is $47,200.

8 0
3 years ago
In ΔCAB, point E is the midpoint of AC and point D is the midpoint of BC . If the measure of AB is 8 units, what is the measure
strojnjashka [21]

Answer:

4 units

Step-by-step explanation:

CAB and EAD are similar triangles with sides in the ratio 2:1

ED = ½ AB

½(8)

4

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