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3 years ago

The graph of an arithmetic sequence is shown.

Mathematics

2 answers:

GalinKa [24]3 years ago

7 0

Answer:

The fifth term is 7

Step-by-step explanation:

Looking at the graph

we have the ordered pairs

(1,5),(2,5.5),(3,6),(4,6.5),(5,7)

Let

$a_1=5\\a_2=5.5\\a_3=6\\a_4=6.6\\a_5=7$

The common difference in this arithmetic sequence is 0.5

The value of the fifth term is a_5

therefore

The fifth term is 7

UkoKoshka [18]3 years ago

6 0

Answer:

<h2>7 is the fifth term.</h2>

Step-by-step explanation:

The graph is showing five different terms: 5, 5.5, 6, 6.5, 7,...

As you can observe, the sequence is growing by a difference of 0.5.

Therefore, the value of the fifth term in the arithmetic sequence is 7, which is represented by the last point.

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The table shows how much each fift grade room earned from a bake sale.The money is going to be given to 6 charities.If each Char

finlep [7]

I can't see the table, but you find the total amount that the entire fifth grade made and divide it by six. I would round it to the nearest hundredth.

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4 years ago

The model represents x2 – 9x + 14. An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot

klio [65]

I didn't get all the part with the tiles, but here's the general answer:

given a polynomial

$p(x)=ax^2+bx+c$

we have that $x-k$ is a factor of $p(x)$ if and only if k is a root of $p(x)$ , i.e. if

$p(k)=ak^2+bk+c=0$

So, given the polynomial

$p(x)=x^2-9x+14$

We can check if $x-9$ is a factor by evaluating $p(9)$ :

$p(9)=81-81+14=14\neq 0$

So, $x-9$ is not a factor.

Similarly, we can evaluate $p(2),\ p(-5),\ p(-7)$ to check if $x-2,\ x+5,\ x+7$ are factors:

$p(2)=4-18+14=0,\quad p(-5)=25+45+14=84\neq 0,\quad p(-7)=49+63+14=126 \neq 0$

So, only $x-2$ is a factor of $x^2-9x+14$

4 0

3 years ago

Read 2 more answers

Solve for x <br><br> Please help

Elodia [21]

Answer:

The answer to your question is below

Step-by-step explanation:

1) Alternate interior angles measure the same

10x - 10° = 100°

10x = 100° + 10°

10x = 110°

x = 110° / 10°

x = 11°

2) Alternate exterior angles measure the same

x + 99° = 90°

x = 90° - 99°

x = -9°

3) Supplementary angles measure 180°

(6x + 12) + (14x + 8) = 180°

6x + 12 + 14x + 8 = 180°

20x + 20 = 180

20x = 180 - 20

20x = 160

x = 160 / 20

x = 8

4) Alternate exterior angles measure the same

26x + 1 = 131°

26x = 131° - 1°

26x = 130°

x = 130° / 26°

x = 5

5) Consecutive interior angles measure 180°

x + 100 + 85° = 180°

x + 185 = 180

x = 180 - 185

x = -5

6) Corresponding angles measure the same

7x - 7 = 70

7x = 70 + 7

7x = 77

x = 77 / 7

x = 11

7) Supplementary angles measure 180°

(12x + 8) + (100°) = 180°

12x + 8 + 100 = 180

12x + 108 = 180

12x = 180 - 108

12x = 72

x = 72 / 12

x = 6

8) Consecutive interior angles measure 180°

18x + 8x - 2 = 180°

26x = 180 + 2

26x = 182

x = 182 / 26

x = 7

9) Corresponding angles measure the same

27x + 7 = 28x + 3

27x - 28x = 3 - 7

-1x = -4

x = -4/-1

x = 4

10) Consecutive interior angles measure 180°

(x + 107) + (x + 87) = 180

x + 107 + x + 87 = 180

2x + 194 = 180

2x = 180 - 194

2x = -14

x = -14 / 2

x = -7

5 0

4 years ago

The result of which expression will best estimate the actual product

prisoha [69]

Answer:

The answer is,

$(-1) \times \frac {1}{2} \times (-1) \times (1)$

Step-by-step explanation:

The given product is,

$\frac {-4}{5} \times \frac{3}{5} \times \frac{-6}{7} \times \frac {5}{6}$

= $\frac {12}{35}$

$\simeq 0.3429$ ---------------------(1)

Now, the first product to compare is,

$(-1) \times \frac {1}{4} \times (-1) \times (-1)$

= - 0.25 ----------------------------(2)

The second product to compare is,

$(-1) \times \frac {1}{2} \times (-1) \times (1)$

= 0.5 ------------------------(3)

The 3rd product to compare is,

$\frac {-4}{2} \times \frac {3}{2} \times \frac{-2}{5} \times \frac {5}{2}$

= 3 ----------------------------(4)

The 4th product to compare is,

$\frac {-3}{4} \times \frac {-3}{4} \times \frac {-1}{5} \times \frac {1}{2}$

= $\frac {-9}{160}$

= 0.05625 -----------------(5)

Comparing all the values , we get (3) is closest to (1).

Hence, we get, the answer is,

$(-1) \times \frac {1}{2} \times (-1) \times (1)$

3 0

4 years ago

Which expression is equivalent to the expression shown?

Gwar [14]

Answer:

=7x

Step-by-step explanation:

5 0

3 years ago