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3 years ago

Which value is a solution to the inequality x < 4

Mathematics

1 answer:

denpristay [2]3 years ago

5 0

Answer:

3, 2, 1, 0, literally anything below 4

Step-by-step explanation:

The "mouth" < or > eats the bigger number, if 4 is bigger than x, x must be smaller than 4

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2 years ago

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In the figure, we can consider that the base is the side that mesures 12 in and that the height is the side that measures 15 in, since that sides are perpendicular. So, we just need to use the given formula:

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3 years ago

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The housing market in Dallas, Texas, experienced a 9.8% increase in the past year. If the median home price was $96,812 one year

JulijaS [17]

Answer: $106,300

<u>Step-by-step explanation:</u>

A = P(1 + r)

A is the accrued amount (balance)
P is the principal (initial amount)
r is the rate --> convert to a decimal

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A = 96,812(1 + 0.098)

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3 years ago

How do you do series with an n

SOVA2 [1]

The problem can be solved step by step, if we know certain basic rules of summation. Following rules assume summation limits are identical.
$\sum{a+b}=\sum{a}+\sum{b}$
$\sum{kx}=k\sum{x}$
$\sum_{r=1}^n{1}=n$
$\sum_{r=1}^n{r}=n(n+1)/2$

Armed with the above rules, we can split up the summation into simple terms:
$\sum_{r=1}^n{40r-21n+8}=n$
$=40\sum_{r=1}^n{r}-21n\sum_{r=1}^n{1}+8\sum_{r=1}^n{1}$
$=40\frac{n(n+1)}{2}-21n^2+8n$
$=20n(n+1)-21n^2+8n$
$=28n-n^2$

=> (a) f(x)=28n-n^2
=> f'(x)=28-2n
=> at f'(x)=0 => x=14
Since f''(x)=-2 <0 therefore f(14) is a maximum
(b) f(x) is a maximum when n=14

(c) the maximum value of f(x) is f(14)=196

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2 years ago