write 8z + z - 5 - 9z +2 in simplest form

if 2 quarts=1/2 galleon on the graph.

Then half of 2 quarts will be half of 1/2 galleons.

Therefore 1 quart=1/4 galleons.

Hope it helps!

Answer:

[tex]\displaystyle \frac{x + 2}{x + 9}, \ x \neq -9, \ 12[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{x^2 - 10x - 24}{x^2 - 3x - 108}[/tex]

Step 2: Simplify

We know that x cannot equal -9 because we would get a divide by 0 (undefined) error. We also know that x cannot equal 12 because it was canceled out when simplifying.

Answer:

I think the answer is 2

x=1

Step-by-step explanation:

2x=2x

divide

x=1

plug it in

1×2

Answer:

Step-by-step explanation:

Diameter = 84 km

Radius = 84/2 = 42 km

Area of circle = πr²

                      = 3.14 * 42 * 42

                      = 5538.96 km²

Answer:

They are similar

Step-by-step explanation:

If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.

This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:

LM/LQ = LN/LP

LM = 100

LQ = 12

LN = 75

LP = 9

LM/LQ = 100/12 = 25/3

LN/LP = 75/9 = 25/3

LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.

Answer:

the test statistic is  0.48

Step-by-step explanation:

Given that;

sample size n = 15

slope of regression b1 = 1.24

Standard of error SE = 2.59

now,

The hypothesis;

Null hypothesis H₀ : B1 = 0

Alternative hypothesis H₁ : B1 ≠ 0

If there is significant relation between variable x and dependent variable y, the slope will not be equal to zero.

Test Statistic

t = b1 / S.E

we substitute

t = 1.24 / 2.59

t = 0.4787 ≈ 0.48

the test statistic is  0.48

Answer:

a) 0.34 = 35% probability that at least one member of a married couple will vote.

b) 0.7143 = 71.43% probability that a wife will vote

c) 0.0968 = 9.68% probability that a husband will vote

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

This is used for itens B and C. For item a, we treat the probabilities as Venn sets.

A) What is the probability that at least one member of a married couple will vote?

I am going to say that:

Event A: Husband votes.

Event B: Wife votes.

The probability that the husband will vote on a bond referendum is 0.21

This means that [tex]P(A) = 0.21[/tex]

The probability that the wife will vote on the referendum is 0.28

This means that [tex]P(B) = 0.28[/tex]

The probability that both the husband and the wife will vote is 0.15.

This means that [tex]P(A \cap B) = 0.15[/tex]

At least one votes:

This is [tex]P(A \cup B)[/tex], which is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cup B) = 0.21 + 0.28 - 0.15[/tex]

[tex]P(A \cup B) = 0.34[/tex]

0.34 = 35% probability that at least one member of a married couple will vote.

B) What is the probability that a wife will vote, given that her husband will vote?

Here, we use conditional probability:

Event A: Husband votes:

Event B: Wife votes

The probability that the husband will vote on a bond referendum is 0.21

This means that [tex]P(A) = 0.21[/tex]

Intersection of events A and B:

Intersection between husband voting and wife voting is both voting, which means that [tex]P(A \cap B) = 0.15[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.21} = 0.7143[/tex]

0.7143 = 71.43% probability that a wife will vote.

C) What is the probability that a husband will vote, given that his wife does not vote?

Event A: Wife does not vote.

Event B: Husband votes.

The probability that the wife will vote on the referendum is 0.28

So 1 - 0.28 = 0.62 probability that she does not vote, which means that [tex]P(A) = 0.62[/tex]

Probability of husband voting and wife not voting:

0.21 probability husband votes, 0.15 probability wife votes, so 0.21 - 0.15 = 0.06 probability husband votes and wife does not, so [tex]P(A \cap B) = 0.06[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.62} = 0.0968[/tex]

0.0968 = 9.68% probability that a husband will vote

Answer:

the number is 10.

Step-by-step explanation:

2(x + 7) = 3(x - 8)

2x + 14 = 3x - 24

2x = 3x -10

x = 10

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to find that, we simply do:

(100+25)% = 125%

100% = 12 ounces

125% = ?

12*125/100 = 9 ounces

Add it up to the original amount:

12+9 = 21 ounces

Answer: 8(8p-3)

Step-by-step explanation:

64p and 24 are both divisible by 8

64p/8 = 8p

24/8 = 3

8(8p) - 8(3)

Distributive property

8(8p-3)

Answer:

A

Step-by-step explanation:

Easy method for this question is to plug the point (-1,7)

Plug -1 as x and hope we can get 7

[tex]y =-2(-1+1)^{2}+7\\y=7\\[/tex]

Answer:

36°

Step-by-step explanation:

let x be the required angle then

x = [tex]\frac{2}{3}[/tex] ( 90 - x)  [ complementary angles sum to 90° ]

x = 60 - [tex]\frac{2}{3}[/tex] x ( add [tex]\frac{2}{3}[/tex] x to both sides )

[tex]\frac{5}{3}[/tex] x = 60 ( multiply both sides by [tex]\frac{3}{5}[/tex] )

x = 36°

note 36° is [tex]\frac{2}{3}[/tex] of 54°

Answer:

x=8

y=1/6x+4/6

y= 2

Step-by-step explanation:

Answer:

Can you put the picture of the triangle up

Step-by-step explanation:

I'll change my answer then

DON'T REPORT ME

Answer:

i need a picture to awnser your question

Step-by-step explanation:

It should be C I’m not 100% shor tho

Answer:

if this is regular multiplication the answer is 1,800

Step-by-step explanation:

k would be located at

Answer.

The school but would have been driving at about 81 miles per hour.

Fun note.

The bus driver would have gotten a speeding ticket on almost all national highways in America if they were going at that speed.

Answer:

okay, so given we have that she has already sold $35 worth of tickets. We know that she has seven tickets left to sell, and each is worth $5. So, we would do 7×$5=$35

Next, we would add $35(from the previous money she has made) and $35 (the money she just made from the 7 tickets) and that would equal $70

equation: y=35+7(5)

Step-by-step explanation:

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️☁️☁️☁️

Answer:

x  =  − 7

Step-by-step explanation:

y = 4.5*x^2-9*x+8.5;4.5;-9;8.5

-(((-9)^2-(4*4.5*8.5))/(4*4.5))

-(-9/(2*4.5))

4.5*0^2-(0*9)+8.5

(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))

Answer:

M= 16.8868 ≈ 16.9  

Step-by-step explanation:

Answer:

x = 9

y = 12

Step-by-step explanation:

-5x + 4y = 3

x = 2y - 15

Manipulate the equations such that the coefficients of two variables are additive inverses

-5x + 4y = 3

x = 2y - 15

Inverse operations

-> 4y - 3 = 5x

-> 2y - 15 = x (*(-5))

->4y - 3 = 5x

-> -10y + 75 = -5x

Now add the equations to eliminate a variable,

4y - 3 = 5x

-10y + 75 = -5x

-6y + 72 = 0

Inverse operations

-6y + 72 = 0

72 = 6y

/6       /6

12 = y

Back solve to find (x)

2y - 15 = x

2(12) - 15 = x

24 - 15 = x

9 = x

Answer:

The degree of the equation is 5.

Step-by-step explanation:

At first we have a 4 polinomyal expressions. Something happens here that in the third step we only have 2 polynomial expressions.

What is occuring? In this case, we just grab two polynomial and try to reduce the expression to a simple expression (And larger) so, we take the first two polynomial expressions:

(2x + 3) * (x² - 1)

In this case, the first term will multiply the first and second term of the second polynomial expression, and after that, the second term of the first polynomial do the same thing with the other two terms:

(2x * x²) + (2x * -1) + (3 * x²) + (3 * -1)

= 2x³ - 2x + 3x² - 3

Now, we apply the same thing with the other two expressions:

(x + 1) * (x - 2)

= (x * x) + (x * -2) + (1 * x) + (1 * -2)

= x² - 2x + x -2

= x² - x - 2

For the last step, we do the same thing, only that in this case is larger cause we have a bigger expression, but the principle is the same. To get a better understanding I will put every operation by line so you won't get confused:

(2x³ - 2x + 3x² - 3) * (x² - x - 2)

= (2x³ * x²) + (2x³ * -x) + (2x³ * -2)

+ (-2x * x²) + (-2x * -x) + (-2x * -2)

+ (3x² * x²) + (3x² * -x) + (3x² * -2)

+ (-3 * x²) + (-3 * -x) + (-3 * -2)

= (2x⁵ - 2x⁴ - 4x³)  

+ (-2x³ + 2x² + 4x)

+ (-3x⁴ - 3x³ - 6x²)

+ (-3x² + 3x + 6)

Simplifying:

The term with the highest exponent will determine the degree of the equation. So the equation is 5th degree.

Hope this helps

Answer:

Place Value of 5 in 1325 is 'Thousands'