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3 years ago

Select the graph for the solution of the open sentence. Click until the correct graph appears. 5|x| + 3 < 18

Mathematics

1 answer:

netineya [11]3 years ago

5 0

Answer:

see below

Step-by-step explanation:

5|x| + 3 < 18

Subtract 3 from each side

5|x| + 3-3 < 18-3

5|x| < 15

Divide by 5

5|x| /5 < 15/5

|x| < 3

There are two solutions for an absolute value, one positive and one negative ( the negative flips the inequality)

x <3 and x > -3

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Suppose f is an exponential function and:

Nastasia [14]

Answer: a) $b= p(1 + r)^1$ b) $c= p(1 + r)^n$ c) $d= p(1 + r)^m$ d) $b^n=c$

Step-by-step explanation:

Since f is an exponential function.

So, it is expressed as

$f = p(1 + r)^$

Here f is the present value

p is the initial value

r is the rate of growth per time period

t is the time period.

(a) b represents the 1-unit growth factor for f.

$b= p(1 + r)^1$

(b) c represents the n n-unit growth factor for f.

$c= p(1 + r)^n$

$d= p(1 + r)^m$

Write a formula that expresses c in terms of b.

Since

$b=p(1+r)^1\\\\So,\\\\b=p(1+r)^{n\times \frac{1}{n}}\\\\b=(p(1+r)^n)^{\frac{1}{n}}\\\\b=c^{\frac{1}{n}}\\\\b^n=c$

Hence, a) $b= p(1 + r)^1$ b) $c= p(1 + r)^n$ c) $d= p(1 + r)^m$ d) $b^n=c$

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3 years ago

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vampirchik [111]

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Answer:

The average rate of change between x = 2 and x = 4 is of 4.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function f(x) in an interval [a,b] is given by:

$A = \frac{f(b)-f(a)}{b-a}$

In this question:

$f(x) = 4x - 2, b = 4, a = 2$

Thus:

$f(b) = f(4) = 4(4) - 2 = 16 - 2 = 14$

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Average rate of change:

$A = \frac{f(b)-f(a)}{b-a}$

$A = \frac{14-6}{4-2}$

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