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3 years ago

Decide whether 0 is a solution of the inequality: a.) 2x – 1 9 c.) x – 3 > 1

Mathematics

1 answer:

marin [14]3 years ago

5 0

Step-by-step explanation:

How to check a solution: Just as you can check the solution to an equation, you can check a solution to an inequality. First, you check the end point by substituting it in the related equation. Then you check to see if the inequality is correct by substituting any other solution to see if it is one of the solutions.

How to tell if its true or false: An inequality is a statement that shows the relationship between two (or more) expressions with one of the following five signs: <, ≤, >, ≥, ≠. Like an equation, an inequality can be true or false. 34 - 12 > 5 + 2 is a true statement. 1 + 3 < 6 - 2 is a false statement.

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A) For AQRS use the Triangle Proportionality Theorem to solve for x.

xenn [34]

Answer:

a. x = 14

b. Perimeter = 77

Step-by-step explanation:

a. Based on the Triangle Proportionality Theorem:

$\frac{2x - 2}{13} = \frac{21 - 7}{7}$

$\frac{2x - 2}{13} = \frac{14}{7}$

$\frac{2x - 2}{13} = 2$

Cross multiply

$2x - 2 = 2(13)$

$2x - 2 = 26$

Add 2 to both sides

$2x = 26 + 2$

$2x = 28$

Divide both sides by 2

x = 14

b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7

Plug in the value of x

= (2(14) - 2) + 13 + 17 + 14 + 7

= 26 + 13 + 17 + 14 + 7

= 77

8 0

2 years ago

The value of a new truck decreases exponentially at a rate of 4.8% per year. If the purchase price of the new cars $42,000, how

Usimov [2.4K]

The worth of the car after it is paid off 5 years later given the rate of exponential depreciation is $32,842.34.

<h3>What is the worth of the car?</h3>

When the car declines in value, it means that the car is depreciating. The formula that can be used to determine the value of the car with the depreciationn rate is:

FV = P (1 - r)^n

FV = Future value
P = Present value
R = rate of decline
N = number of years

$42,000 x (1 - 0.048)^5 = $32,842.34

To learn more about future value, please check: brainly.com/question/18760477

7 0

2 years ago

Need help please :( What is the second term of (s+v)^5?

Citrus2011 [14]

First compute the coefficient like this:
$C_5^1=\frac{5!}{1!(5-1)!}=\frac{5!}{4!}=\frac{5\times4!}{4!}$
Simplifying the fraction over 4! we get:
$C_5^1=5$
and the variables are $s^4v$ . So answer $5s^4v$ .

The correct answer is C then.

3 0

2 years ago

The ratio of dogs to cats is 2 to 3. There are 15 pets total. How many dogs are there? How many cats are there?

ElenaW [278]

So there are 2 dogs to every 3 cats (put into words)

in order to reach 15 total multiply both 2 and 3 by 3

2x3 = 6
3x3 = 9

so there are 6 dogs and 9 cats

6 0

2 years ago

HELP! Is it A,B,C,or D. i really need help

geniusboy [140]

I believe the answer is C. I could be wrong.

6 0

3 years ago

Read 2 more answers