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2 years ago

What is the best first step to solve the inequality 5x - 3 ≥ 2?

Mathematics

2 answers:

Kryger [21]2 years ago

6 0

Answer:

subtract 3 from both sides of the equation

Step-by-step explanation:

5x -3>2

+3. +3

5x>5

Zepler [3.9K]2 years ago

5 0

Add 3 from both sides of the equation

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25 points, please help!!! Find the indicated limit, if it exists. (see picture for limit)

Semmy [17]

Answer:

yes it exists.and answer is 5.

8 0

2 years ago

Assume that y varies inversely with x. if y = 16 when x = 1/2, find y when x=32

MissTica

y varies inversely with x.

Example:

If we multiply x by 2 we need to divide y by 2 too.

So,

If y = 16 and x = 1/2, find y when x = 32

Lets see, from 1/2 to 32 e need to multiply 1/2 by 64, right? So let's divide 16 by 64.

16/64 = 8/32 = 4/16 = 2/8 = 1/4

So we can say that:

If y = 16 when x = 1/2, y = 1/4 when x = 32.

4 0

2 years ago

The amount of money in a savings account after t years is represented by the function f(t)=3600(1.035)t .

timama [110]

Answer: The initial amount in the account = $3600

Step-by-step explanation:

Since we have given that

The amount of money in a savings account after t years is represented by the function

$f(t)=3600(1.035)^t$

As we know the formula "Compound Interest" :

$Amount=P(1+\frac{r}{100})^t\\\\Here,\\\\\text{ P denotes principal}\\\\\text{ R denotes Rate of interest}\\\\\text{ T denotes time}$

So, According to our question,

Rate of interest = 0.35 = 35%

So, equate the both the equations , we get that

Hence, The initial amount in the account = $3600

5 0

3 years ago

Read 2 more answers

Adolf earned 650 last week he paid 97.50 in federal income tax he paid one third that amount for state income tax and other taxe

igomit [66]

Answer:

520

Step-by-step explanation:

= 650 - (97.50 + 97.50/3)

= 650 - 130

= 520

8 0

2 years ago

h(x)= \dfrac{1}{8} x^3 - x^2h(x)= 8 1 x 3 −x 2 h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided b

Nesterboy [21]

Answer:

$\dfrac{1}{2}$

Step-by-step explanation:

Given the function $h(x)=\dfrac{1}{8}x^3-x^2$

The average rate of change of the function h(x) over the interval $a\le x\le b$ can be calculated using formula

$\dfrac{h(b)-h(a)}{b-a}$

In your case,

$a=-2,\\ \\b=2,$

so the average rate of change is

$\dfrac{h(2)-h(-2)}{2-(-2)}\\ \\=\dfrac{(\frac{1}{8}\cdot 2^3-2^2)-(\frac{1}{8}\cdot (-2)^3-(-2)^2)}{4}\\ \\=\dfrac{(1-4)-(-1-4)}{4}\\ \\=\dfrac{-3+5}{4}\\ \\=\dfrac{2}{4}\\ \\=\dfrac{1}{2}$

6 0

2 years ago