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3 years ago

What do algebraic expressions and numeric expressions have in common

Mathematics

1 answer:

siniylev [52]3 years ago

5 0

Answer:

A numerical expression is an expression made up only of numbers and operations but an expression written with a variable in it, is called a variable expression. Both a numerical expression and a variable expression can include powers.

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Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount

Nikolay [14]

Constant rates are used to illustrate linear functions.

The average rate of change is $9.0 per hour
The function that models the table is: $\mathbf{f(x) = 9x }$
The amount earned in 7.5 hours is $67.5

(a) The average rate of change

This is calculated using:

$\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}$

So, we have:

$\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}$

$\mathbf{Rate = \frac{9}{1.0}}$

$\mathbf{Rate = 9.0}$

Hence, the average rate of change is $9.0 per hour

(b) A function that models the table of values

Let x represent hours, and y represent the earnings.

So, we have:

$\mathbf{y =m (x - x_1) + y_1}$

Where:

m =Rate = 9.0

So, we have:

$\mathbf{y = 9(x - 2.5) + 22.5}$

Expand

$\mathbf{y = 9x - 22.5 + 22.5}$

$\mathbf{y = 9x }$

Represent as a function

$\mathbf{f(x) = 9x }$

Hence, the function that models the table is: $\mathbf{f(x) = 9x }$

(c) Amount earned for 7.5 hours

This means that x = 7.5

So, we have:

$\mathbf{f(7.5) = 9 \times 7.5 }$

$\mathbf{f(7.5) = 67.5}$

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

4 0

2 years ago

Find the product. (3b + 6at)(b - at)

adoni [48]

Answer:

3bat + 3b² - 6a²t²

Step-by-step explanation:

First you have to expand it to get;

3b(b - at) + 6at(b - at)

Then you can now multiply.

3b² - 3bat + 6bat - 6at²

Group like terms

6bat - 3bat + 3b² -6at²

3bat + 3b² - 6a²t²

4 0

3 years ago

Read 2 more answers

9. A pyramid has a square base with an area

Vlad [161]

Answer:

48 ft

Step-by-step explanation:

A = 144ft² = l²

144 = l²

l = √144

l = 12 ft

P = 4l

= 4×12ft

= 48 ft

4 0

3 years ago

Plzz help me with this!! IT IS DUE TOMORROW!!!

DaniilM [7]

The answer is B 864 ft squared.

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3 years ago

In a fruit cocktail, for every 20 ml of orange juice you need 10 ml of apple juice and 15 ml of coconut milk. What proportion of

Romashka [77]

Answer:

5/9

Step-by-step explanation:

First, find the total number of mL in the drink:

20 + 10 + 15

= 45

There are 10 mL of apple juice, so the proportion will be 10/45

Simplify this by dividing the numerator and denominator by 5:

10/45

= 5/9

So, 5/9 is the proportion of the cocktail that is apple juice

5 0

3 years ago