determine if the relation is a function
(-1, 5), (0,3), (2,3), (3, -1)

Answer:

Step-by-step explanation:

6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5

y - 6 = 17 ⇒ y = 23

z - 3 = 4z ⇒ z = - 1

18 - 3(0) = 9w ⇒ w = 2

========================

I'm going to solve for you some another question you asked, I did not see the right answer...  :)

There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔  | 3x + 2| > 5

(1). If (3x + 2) is positive then

3x + 2 > 5 ⇒ x > 3

(2). If (3x + 2) is negative then

- (3x + 2) > 5

- 3x - 2 > 5

- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]

The final answer is x < - 2.3 or x > 1

Answer:

The measure of ∠O is 97.2° to the nearest tenth

Step-by-step explanation:

To solve this question, we will use the cosine rule

In Δ OPQ

Side o is opposite to ∠O

Side p is opposite to ∠P

Side q is opposite to ∠Q

By using the cosine rule

∵ o² = p² + q² - 2(p)(q)cos∠O

∵ o = 6.6 inches

∵ p = 2.1 inches

∵ q = 6 inches

→ Substitute them in the rule above

∴ (6.6)² = (2.1)² + (6)² - 2(2.1)(6)cos∠O

∴ 43.56 = 4.41 + 36 - 25.2cos∠O

→ Add the like terms in the right side

∴ 43.56 = 40.41 - 25.2cos∠O

→ Subtract 40.41 from both sides

∵ 3.15 = -25.2cos∠O

→ Divide both sides by -25.2 to find cos∠O

∴ -0.125 = cos∠O

→ Use your calculator to find ∠O

∵ m∠O = [tex]cos^{-1}(-0.125)[/tex]

∴ m∠O = 97.18075578

→ Round it to the nearest tenth ⇒ 2d.p.

∴ m∠O = 97.2°

Answer:

It would be CB, BA, AC

Step-by-step explanation:

Answer:

10.7

Step-by-step explanation:

i am not certain but since y is the 4 you will have 2(4) + 2.7 so you get 8+2.7 since you do 2x4 then you add 8 and 2.7 to get 10.7

===================================================

Explanation:

We are given that AB is parallel to DC.

This allows us to say that angle BAC = angle DCA because they are alternate interior angles.

We have one pair of congruent angles, but we don't have a second pair of congruent angles. So we cannot use ASA.

We can't use SAS either since we only have information about one pair of congruent sides (AC = AC). We don't know anything about the other sides.

AA is not a congruence theorem. Instead it's a similarity theorem. So we can rule this out as well.

The only thing left is choice D. We don't have enough information. We need to know if AD is parallel to BC, so we can show that angle BCA = angle DAC, which is the other angle pair to use ASA. Or if we knew that AB = CD, then we could use SAS to prove the triangles congruent. Unfortunately we don't have this information.

Answer:

A.

Step-by-step explanation:

Simplify the radical by breaking up the radicand up into a product of known factors, assuming positive real numbers.

Answer:

A)  4[tex]\sqrt15\\[/tex]

Step-by-step explanation:

Start by factoring 240 to its prime factors

√240 = √10 · 24 =√2·5·2·2·2·3

look for pairs of numbers.  There are 2 pairs of 2s, so take those out of the radical

=  2·2√5·3

=  4√15

Answer:

The answer is 6 6/12

Step-by-step explanation:

Answer

x = 5/4

Step-by-step explanation:

Answer:

1. a = 5400

2. r = 0.96

3. Percentage decrement = 65.4%

Step-by-step explanation:

Given

N = ar^t

Solving (a): Write down the value of a

a implies the first term

And from the question, we understand that the initial number of trees is 5400.

Hence,

a = 5400

Solving (b): Show that r = 0.96

Using

N = ar^t

When a = 5400, t = 1 i.e. the first year and N = 5184

Substitute these values in the above expression

5184 = 5400 * r¹

5184 = 5400 * r

5184 = 5400r

Solve for r

r = 5184/5400

r = 0.96

Solving (c): Show that the trees has decreased by over 65% in 2040

First, we need to calculate number of years (t) in 2040

t = 2040 - 2014

t = 26

Substitute 26 for t, 5400 for a and 0.96 for r in N = ar^t to get the number of trees left

N = 5400 * 0.96^26

N = 1868.29658019

N = 1868 (approximated)

Next, we calculate the percentage change as thus:

%Change = (Final - Initial)/Initial * 100%

Where the initial number of trees =5400 and final = 1868

%Change = (1868 - 5400)/5400 * 100%

%Change = -3532/5400 * 100%

%Change = -3532%/54

%Change = -65.4%

The negative sign indicates a decrements or reduction.

Hence, percentage decrement = 65.4% and this is over 65%

Answer:

3

Step-by-step explanation:

Answer: y=3

Step-by-step explanation:

the initial statement is

y

∝

1

x

to convert to an equation multiply by k the constant

of variation

⇒

y

=

k

×

1

x

=

k

x

to find k use the given condition

y

=

15

when

x

=

5

y=kx⇒k=y x=15×5=75

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣22y=75x22∣∣

when x=25 then

y=75 25=3

Step-by-step explanation:

I hope understand this

Answer:

84 and more

Step-by-step explanation:

84+81+75

=240

240/3

=80

Answer:

Y=-2x+5 (3 or C)

Step-by-step explanation:

Replace the value of x

Y= -2x(-1)+5

Solve

Y= 2+5

Y= 7

Answer: E(X) = 30; Var[X] = 180

Step-by-step explanation: This is a Bernoulli Experiment, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate Expected Value, which is the mean, in these conditions:

[tex]E(X)=\frac{r}{p}[/tex]

r is number of times it is repeated

p is probability it happens

Solving:

[tex]E(X)=\frac{5}{1/6}[/tex]

E(X) = 30

Variance is given by:

[tex]Var[X]=\frac{r(1-p)}{p^{2}}[/tex]

[tex]Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}[/tex]

[tex]Var[X]=5.\frac{5}{6}.6^{2}[/tex]

Var[X] = 180

Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.

Answer:

23.8

Step-by-step explanation:

68.4 - 44.6 = 23.8

Answer:

QR is 23.8

because 68.4 - 44.6 =23.8

It is 3 73/99

I just used a fraction calculator lol

Answer:

It is 3 73/99

.....*+*Kill me*+*.....

*+*.......................*+*

*+*.......................*+*

Answer:

1. Yes 2. No 3. No

Step-by-step explanation:

Answer:

it's the last one i mean 4&1/4

Answer:

last image== four and one fourth

Answer:

2/4

Step-by-step explanation:

2/4 × 2= 4/8 hsuddhskshvshiseu

1/2 or 2/4

4÷8=1/2

4÷2/8÷2=2/4

The B is 2. B is the Y Intercept.

Answer:

3 + 0.7 + 0.06 + 0.001

Answer:3+ 0.7+ 0.06+ 0.001= 3.761

Step-by-step explanation:

Answer:

Hey there! Thanks for asking your question.

We can multiply the numerators and denominators by any number.

Either way, you will have the same equivalent fraction.

Let's do a practice problem:

[tex]\frac{1}{2} = ?[/tex]

We can multiply the numerator & denominator by 2.

We get the number [tex]\frac{2}{4}[/tex].

So, [tex]\frac{1}{2} = \frac{2}{4}[/tex].

Best of Luck!

Answer:

(x-2) and second slot is (x+7)

Second Answer= (x-2) and second slot is (x-8)

Answer:

(x-2),x-7) next set is (x-2),(x-8) then the next question is (x-2) your very welcome.

Step-by-step explanation:

Answer:

y=1

To check your answer:

20(1)-7=13

20-7=13

13=13

Answer:

0.07,0.09,0.1,0.9

Step-by-step explanation:

In general terms, Ascending means smallest to largest, 0 to 9, and/or A to Z and Descending means largest to smallest, 9 to 0, and/or Z to A. Ascending order means the smallest or first or earliest in the order will appear at the top of the list: For numbers or amounts, the sort is smallest to largest.

Answer:

0

Step-by-step explanation:

Inverse it To verify:

0/1=0+9=9

Answer:

mistake in step 2 forgot to subtract from end

Step-by-step explanation:

An equation is formed when two equal expressions. The value of x is 24 and Jake made a mistake in step 2. The correct option is A.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation 1/3x + 7 = 15 can be solved as shown below.

Step 1.) 1/3x + 7 = 15

Step 2.) Subtract 7 from both the sides of the equation,

1/3x + 7 - 7 = 15 - 7

Step 3.) 1/3x = 8

Step 4.) Multiply both the sides of the equation by 3,

3 • 1/3x = 3 • 8

Step 5.) x = 24

Hence, the value of x is 24. And Jake made a mistake in step 2.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

Answer:

3/5

Step-by-step explanation:

Both can be divided by 5. So, 15 divided by 5 is 3, and 25 divided by 5 is 5! Hoped this helped :)