What is the equation of the function shown in the graph?

Consider the following equation:

Sidana [21]

So you would plug in 0 for a from the beginning since this is numerical slope definition of a derivative

3 0

2 years ago

1. Mr. Miller is building a dollhouse

Lina20 [59]

Answer:

1 ft : 2.5 yd or 1 ft : 2 1/2 yd

Step-by-step explanation:

He wants a real dimension of 10 yards to be represented by a scale dimension of 4 ft.

4 ft : 10 yd

Divide both sides by 4.

1 ft : 2.5 yd or 1 ft : 2 1/2 yd

8 0

2 years ago

Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8

vredina [299]

Question:

Consider the sequence of numbers: $\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}$

Which statement is a description of the sequence?

(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.

(B) The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + 3/8 .

(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .

(D) The sequence is arithmetic and can be represented by the function

f(n + 1) = f(n)3/8.

Answer:

Option B:

The sequence is recursive and can be represented by the function

$f(n + 1) = f(n) + \frac{3}{8} .$

Explanation:

A sequence of numbers are

$\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}$

Let us first change mixed fraction into improper fraction.

$\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}$

To find the pattern of the sequence.

To find the common difference between the sequence of numbers.

$\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}$

$\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}$

$\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}$

$\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}$

Therefore, the common difference of the sequence is 3.

That means each term is obtained by adding $\frac{3}{8}$ to the previous term.

Hence, the sequence is recursive and can be represented by the function $f(n + 1) = f(n) + \frac{3}{8} .$

3 0

2 years ago

a car decreased in value from $980 to $720 in one year what was the per cent of decrease to the nearest whole per cent ?

kolezko [41]

The decrease was 27%.

Step-by-step explanation:

Old value = $980

New value = $720

Decrease = Old value - New value

$Decrease=980-720=\$260$

Percent decrease = $\frac{Decreased/ amount}{Old value}*100$

$Percent\ decrease=\frac{260}{980}*100\\Percent\ decrease=0.265*100\\Percent\ decrease= 26.5\%$

Rounding off to near whole percent

Percent decrease = 27%

The decrease was 27%.

Keywords: Percentage, subtraction

Learn more about subtraction at:

#LearnwithBrainly

6 0

2 years ago

A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of

aev [14]

Answer:

6 + 2[x - 1) , where x > 0. I think.

6 0

3 years ago

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