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kap26 [50]
4 years ago
15

Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?

Mathematics
1 answer:
ivann1987 [24]4 years ago
5 0

f(x)= -99.4x + 198.8

f(1) = -99.4*1 + 198.8 = 99.4

f(2) = -99.4*2 + 198.8 = 0

f(3) = -99.4*3 + 198.8 = -99.4

f(4) = -99.4*4 + 198.8 = -198.8

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he answer is (2), (4) and (6).

Step-by-step explanation:

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4 years ago
A recipe for chocolate chip muffin states that yields 12 muffins with 340 cal per muffin you and decided make a mini muffins and
stira [4]

If you eat two of your muffins, you will consume 408 calories.

<h3>How many calories are in a muffin?</h3>

Here a recipe says that yields 12 muffins with 340 calories per muffin, so the total number of calories for the recipe is:

C = 12*340 cal = 4,080 cal.

If you followed the same recipe, then the total number of calories of your 20 muffins is 4,080 calories.

Assuming that those calories are evenly distributed among the 20 muffins, then the number of calories each muffin will have is given by the quotient:

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2 years ago
Round to the nearest hundredth. Question is BC=
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3 years ago
I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t
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In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}

Where

\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}

Thus,

\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}

Thus, from the theorem of similar triangles,

\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}

solving for y, we have

\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}

thus, YC = 10.

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