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3 years ago

10 poi

Mathematics

1 answer:

vladimir2022 [97]3 years ago

7 0

Answer:

13 days

Step-by-step explanation:

Requires a lot of math steps:

Division, multiplication, and 100% effort.

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If f(x) = 3^2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?

timurjin [86]

Answer:

(f - g)(2) = 11

Step-by-step explanation:

f(x) = 3² + 1

g(x) = 1 - x

(f - g)(2) = f(2) - g(2)

f(2) = 9 + 1 = 10

g(2) = 1 - 2 = -1

10 - (-1) = 10 + 1 = 11

(f - g)(2) = 11

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4 years ago

Which number sentence is always true?

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Answer:

Step-by-step explanation:

The answer is ''B'' cause it is the only true statement

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3 years ago

For the data below what is the outlier? 46, 39, 61, 38, 50, 65, 60, 45, 64, 55

Lubov Fominskaja [6]

The first 3 choices are not outliers, so the answer is D.

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3 years ago

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When Jake took his dog, Rocky, to the vet in December, Rocky weighed 29 pounds 9 ounces. When he took Rocky back to the vet in M

faust18 [17]

Answer:

he gained 3 pounds :)

Step-by-step explanation:

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3 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

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3 years ago