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3 years ago

What is the common difference of the arithmetic sequence 5,8,11,14?

Mathematics

2 answers:

allsm [11]3 years ago

8 0

Answer:

Step-by-step explanation:

8-5= 3

11-8= 3

14-11= 3

Nataly_w [17]3 years ago

8 0

Answer:

common difference = difference between two consecutive number in a given series

hence,

8-5=3

common difference =3

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Which expression is a possible leading term for the polynomial function graphed below?

Anon25 [30]

Answer:

D, 22x^9

Step-by-step explanation:

Here's a key for end behavior: Look at the leading term

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aliya0001 [1]

Answer:

Step-by-step explanation:

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Question 6 of 6

Bezzdna [24]

$\huge \boxed { \sf \: Answer}$

We have to use the formula:

$(ab) ^{n} = {a}^{n} {b}^{n}$

So,

$(5 \times 9) ^{12} \\ = {5}^{12} . 9^{12}$

Also, it will be

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2 years ago

Determine if (-2,6) and (4,12) are solutions to the system of equations:

kykrilka [37]

Answer:

Both $(-2,6)$ and $(4,12)$ are solutions to the system.

Step-by-step explanation:

In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.

Step 1: Plug $(-2,6)$ into $y=x+8$

$(6) = (-2)+8 = 6$

The solution verifies the equation.

Step 2: Plug $(-2,6)$ into $2y=x^2 + 8$

$2(6) = (-2)^2+8=4+8=12$

The solution verifies both equations. Therefore, $(-2,6)$ is a solution to this system.

Now we must check if the second point is also valid.

Step 3: Plug $(4,12)$ into $y=x+8$

$(12) = (4)+8 = 12$

Step 4: Plug $(4,12)$ into $2y=x^2 + 8$

$2(12) = (4)^2+8=16+8=24$

The solution verifies both equations. Therefore, $(4,12)$ is another solution to this system.

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2 years ago