3 years ago

What are the next two numbers in the pattern 5 15 18 28

Mathematics

1 answer:

Nata [24]3 years ago

7 0

Hello,

5
5+10=15
15+3=18
18+10=28
28+3=31
31+10=41
....

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If a dozen eggs cost 4.32 then how much would 17 eggs cost?

Sladkaya [172]

A dozen eggs is $4.32 that is 0.36 cents a egg so 17 eggs would be .36x5=$1.80 then $1.80 + $4.32 = $6.12

5 0

3 years ago

the polygons in each pair are similar. find the scale factor of the smaller figure to larger figure.

katovenus [111]

Answer:

Scale factor = $\frac{1}{2}$

Step-by-step explanation:

From the picture given in the question,

If the larger figure is dilated to form the smaller figure,

Scale factor by which a figure is dilated with is determined by the expression,

Scale factor = $\frac{\text{Measure of one side of the smaller figure}}{\text{Measure of the corresponding side of the larger figure}}$

= $\frac{3}{6}$

= $\frac{1}{2}$

8 0

3 years ago

F(1)=-8<br> f(n)=f(n-1)-3<br> Find the explicit formula<br> Will mark Brainiest

laiz [17]

f(1) = -8, simply is a way of saying, the 1st value in the arithmetic sequence is -8.

f(n) = f(n-1) - 3, is another way of saying, following values are just, the previous minus -3.

so in short, -3 is the common difference, since that is what we're "adding" to get the new value in the sequence.

$\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ d = -3\\ a_1 = -8 \end{cases} \\\\\\ a_n=-8+(n-1)(-3)\implies a_n=-8-3n+3\implies \stackrel{f(n)}{a_n}=\stackrel{\stackrel{explicit}{\downarrow }}{-3n-5}$