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2 years ago

Sketch the graph of the given equation. y = x2 + 8x +15

Mathematics

1 answer:

Tamiku [17]2 years ago

3 0

The pictures may be in a different order for you but it’s the 3rd graph where the minimum is (-4,-1)

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For each of the finite geometric series given below, indicate the number of terms in the sum and find the sum. For the value of

kotykmax [81]

Answer:

Number of term N = 9

Value of Sum = 0.186

Step-by-step explanation:

From the given information:

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} + \cdots + 3 (0.5)^{13}$

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} +3 (0.5)^{8}+3 (0.5)^{9} +3 (0.5)^{10} +3 (0.5)^{11}+3 (0.5)^{12}+ 3 (0.5)^{13}$

Number of term N = 9

The Value of the sum can be determined by using the expression for geometric series:

$\sum \limits ^n_{k=m}ar^k =\dfrac{a(r^m-r^{n+1})}{1-r}$

here;

m = 5

n = 9

r = 0.5

Then:

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.5^5-0.5^{9+1})}{1-0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.03125-0.5^{10})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{(0.09375-9.765625*10^{-4})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =0.186$

6 0

2 years ago

Which linear function represents the table?

lara31 [8.8K]

Answer:

A) y= 5x - 3

Step-by-step explanation:

(5 • x) - 3 = y

Problem Solving:

5 • -6 = -30 - 3 = -33

5 • 3 = 15 - 3 = 12

5 • 9 = 45 - 3 = 42

5 • -4 = -20 - 3 = -23

5 • -5 = -25 - 3 = -28

5 0

3 years ago

Read 2 more answers

Plzzzzz help 3 9/10 is the same as the sum of 3 1/3 and half of a number what is the number

kirill [66]

Answer:

9/10 = 1/3 + 1/2x

9/10 - 1/3 = 1/2x

LCM of 10 and 3 is 30

( 27 - 10)/30 = 1/2x

17/30 = 1/2x

17 * 2 = 30x

34=30x

34/30= 30x/30

x = 17/15

6 0

2 years ago

Drag each expression to show whether it is equivalent to 54x plus 18, 18(3x minus 1), or (6 times 9x) plus (6 times 1)

topjm [15]

The first option is

$18(3x-1) = 18\cdot 3x - 18\cdot 1 = 54x-18$

The second option is

$6\cdot 9x + 6\cdot 1 = 54x + 6$

So, neither of them is equivalent to $54x+18$

8 0

3 years ago

Enter the correct answer in the box.

Kryger [21]

Can you show the expression plz

7 0

2 years ago