All categories

2 years ago

Explain the difference between evaluating an expression and solving an equation. Use examples to support your explanation.

Mathematics

1 answer:

oee [108]2 years ago

6 0

Answer:

<h3>Evaluating an expression</h3>

Unlike an equation, expression does not have an equal sign.

Example

(x² - 4²) / (x + 2)

So, by evaluating an expression it means to simplify the expression. Let's take a look at the example again

(x² - 4²)

= (x + 2)(x - 2) / (x + 2)

= (x - 2)

<h3>Solving an equation</h3>

Solving an equation involves finding an unknown value given in the equation. It contains an equal to sign (=) so, it result in a solution.

Example

(x² - 4²) / (x + 2) = 0

(x + 2)(x - 2) / (x + 2) = 0

(x - 2) = 0

x = 2

You might be interested in

Patty is building a rope ladder for a tree house. She needs two 5 foot pieces of rope for the sides of the ladder. She needs 7 p

BigorU [14]

Answer:

20 1/2 feet

Step-by-step explanation:

The total length is found by adding the lengths of the individual pieces. It can be easier if you use multiplication in place of repeated addition. You want ...

(2 × 5 feet) + (7 × 18 inches)

At some point in the process, you need to convert inches to feet. This is done by remembering that 12 inches = 1 foot. Dividing inches by 12 gives feet.

The above expression evaluates to

10 feet + 126 inches = 10 feet + (126/12) feet = 10 feet + 10.5 feet

= 20.5 feet

_____

A Google search box is a capable units converter and calculator.

6 0

3 years ago

An equation is shown 0.58x?= 5.8 What is the value of missing number

Aleksandr-060686 [28]

You have to eat that

7 0

3 years ago

Read 2 more answers

A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5

EastWind [94]

The probability that the plant manufactures a part between 10.8 and 12.8 centimeters 13%

<h3>How to find the probability that the part is between 10.8 and 12.8 centimeters</h3>

The probability is solved z scores, this measures the amount of standard deviation sample X is from mean. the formula is below

z = (X - μ) / σ

<u>Definition of variables</u>

mean, μ = 16.3 centimeters

standard deviation, σ = 2.5 centimeters

X = 10.8 and 12.8 centimeters

z score, z

substituting into the formula

for X = 12.8 centimeters

= (X - μ) / σ

= (12.8 - 16.3) / 2.5

= -1.4

the p value for z of -1.4 = 0.161513

for X = 10.8 centimeters

= (X - μ) / σ

= (10.8 - 16.3) / 2.5

= -2.2

the p value for z of -2.2 = 0.027807

the probability is calculated as below

0.161513 - 0.027807= 0.133706

= 0.13

=13%

Learn more about standard deviation at:

brainly.com/question/28948351

#SPJ1

8 0

1 year ago

Rewrite the equation y - 3 = 23(x - 2) in standard form.

jeka57 [31]

Answer:

I believe it would be y-3=23x-2

7 0

2 years ago

Professor Hartwick finds that people who tend to score low on one variable tend to score low on another variable. Professor Hart

garri49 [273]

Answer:

Option C) a positive correlation.

Step-by-step explanation:

We are given the following in the question:

" People who tend to score low on one variable tend to score low on another variable."

Correlation:

Correlation is a technique that help us to find or define a linear relationship between two variables.
It is a measure of linear relationship between two quantities.
A positive correlation means that an increase in one quantity leads to an increase in another quantity or decrease in one quantity leads to decrease in another quantity.
A negative correlation means with increase in one quantity the other quantity decreases.
+1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.

Since, for the given case with decrease in one variable other also decreases, thus, it is an example of positive correlation. Thus, the correlation coefficient cannot be less than or equal to zero.

Thus, the correct answer is

Option C) a positive correlation.

8 0

3 years ago