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3 years ago

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given the arithmetic sequence 3, 7, 11, 15, ..., what is a1, the first term? What is d, the common difference? Find the 151st te

rm of this sequence. What formula did you use? Be sure to show your work. Thank you.

1 answer:

JulijaS [17]3 years ago

5 0

It’s 12345678910 because the mathematical people said so.

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A 16 ft monument consists of a rectangular prism and a square pyramid, as shown below. If the exposed surfaces of the monument a

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Answer and Step-by-step explanation:

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3 years ago

Use the graph of f(x) below to estimate the value of f '(3):

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Well, looking at the graph, notice, its vertex is at 0,9, and it passes through the points -3,0 and 3,0, so hmm let's use 3,0, to get the equation of f(x)

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------$

$\bf vertex~(0,9)~
\begin{cases}
h=0\\
k=9
\end{cases}\implies y=a(x-0)^2+9
\\\\\\
\textit{we also know that }
\begin{cases}
x=3\\
y=0
\end{cases}\implies 0=a(3-0)^2+9
\\\\\\
-9=9a\implies \cfrac{-9}{9}=a\implies -1=a\quad thus\quad \boxed{y=-x^2+9}
\\\\\\
\left. \cfrac{dy}{dx}=-2x \right|_{x=3}\implies -6$

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3 years ago

Read 2 more answers

A small restaurant named the Pizza Palace had a food critic try their pizza and wrote them a very, very bad review. The function

I am Lyosha [343]

The statement which describes what the equation tells is; The number of customers they have prior/before the review is; 500 customers.

The number of customers they have 2 months after the review is; 222.22 customers.

<h3>Exponential functions</h3>

According to the given function;

The intercept of the function represents the number of customers the restaurant has prior to the review.

This means the number of customers they have prior/before the review (at m=0) is; 500 customers.

Additionally, after 2 months of the review;

C = 500 × (2/3)^2

C = 500 × 0.44

C = 222.22 customers

Read more on exponential functions;

brainly.com/question/2456547

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2 years ago