All categories

3 years ago

Is the equation a linear function or nonlinear function? y = 0.5x – 1

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

3 0

Answer:

Linear.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 0.5x - 1

Step 2: Compare

y = mx + b

y = 0.5x - 1

m = 0.5

b = -1

The equation is a linear function. It's proportional.

You might be interested in

John bought three thermos flask at a total of st 1080 he later sold at 400 each what was his percentage

trasher [3.6K]

Answer:

$\boxed{ \bold{ \boxed{ \sf {11.11\%}}}}$

Step-by-step explanation:

Given,

Cost price of three thermos flask = 1080

Selling price of each thermos flask = 400

Finding the selling price of three thermos flask

Since, the cost of 3 thermos flask is more than that of 1 thermos flask. So, the cost of 1 thermos flask is multiplied by 3 ( i.e 400 × 3 = 1200 )

Here, the selling price is greater than cost price.

So, there is profit.

And we know that,

$\sf{profit = sp \: - \: cp}$

⇒ $\sf{1200 - 1080}$

⇒ $\sf{120}$

Profit amount = 120

Finding the profit percentage

$\sf{profit\% \: = \frac{profit}{cp} \times 100 \%}$

⇒ $\sf{ \frac{120}{1080 } \times 100\%}$

⇒ $\sf{11.11\%}$

Hope I helped!

Best regards!!

6 0

3 years ago

Can y’all help me pls and the other things i posted!!

zhuklara [117]

This answer is going to be X=-5 because you are solving for X in the parentheses.

6 0

3 years ago

Find the oth term of the geometric sequence 7, 14, 28, ...

yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

$\frac{14}{7}=2,\:\quad \frac{28}{14}=2$

The ratio of all the adjacent terms is the same and equal to

$r=2$

now substituting r = 2 and a₁ = 7 in the nth term

$a_n=a_1\cdot r^{n-1}$

$a_n=7\cdot \:2^{n-1}$

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

6 0

3 years ago

A unit rate is a rate in which

LuckyWell [14K]

Answer:A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The hexagon can be divided into six congruent and how many triangles?

maria [59]

Six is the answer because a hexagon has 6 similar sides.

4 0

4 years ago