What trinomaial expression that is equivalent to the following product (4x-7)(2x+3)

The correct statement is B, D and E

Number lines are the horizontal straight lines in which the integers are placed in equal intervals.

The complete question is

Which rule is true for the horizontal number line?

A. All negative numbers are located to the right of zero.

B. Negative numbers are arranged in a descending order from left to right.

C. Positive numbers are arranged in a descending order from left to right.

D. All positive numbers are located to the right of zero.

E. Negative numbers are arranged in an ascending order from right to left.

All negative numbers are located to the left of zero.

Negative numbers are arranged in a descending order from left to right.

Positive numbers are arranged in a ascending order from left to right.

All positive numbers are located to the right of zero.

Negative numbers are arranged in an ascending order from right to left.

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Answer:

\(\large \boxed{6(2n-3)}\)

Step-by-step explanation:

\(12n-18\)

Factor out 6 from each term.

\(6(2n)+6(-3)\)

Take 6 as a common factor.

\(6(2n-3)\)

Answer:

Step-by-step explanation:

\( \mathsf{12n - 18}\)

In such expression, the factor which is present in all terms of the expression is taken out as common and each term of the expression should be divided by the common factor to get another factor

Factor out 3 from the expression

\( \mathsf{ = 3(4n - 6)}\)

Hope I helped!

Best regards!

Answer:

H: (2, 14)

O: (4,15)

U: (6,14)

S: (2,10)

E: (6,10)

Step-by-step explanation:

the image on the grid is after doin x- 1 and y-7

to get the preimage do the inverse , x + 1 , y + 7

note- a coordinate is written as (x,y)

so, add 1 to all the x's and 7 to all the y's on the coordinates on the grid!

and sorry for asking but, if this is right could i please get a thanks & brainliest recently a moderator deleted ALL my answers (over 400 answers) causing me to lose over 3k points so id appreciate it alot thanks xoxo

Answer:

After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected

As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that

H₀ > z

Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.

Step-by-step explanation:

critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;

reject H₀

There is sufficient evidence to reject the claim.

Answer:

No solution

Step-by-step explanation:

To start, a solution requires the lines to intersect

However both lines share a slope of -3 and are thus parallel

Since parallel lines dont intersect, there is no solution

Answer:

Hi! The answer to your question is A. No solution, i also have a picture to help you if u need it.  

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

The slope is 1.

Answer: 11/10 is your answer

Step-by-step explanation: Hoped this helped

Answer:

1.1

Step-by-step explanation:

3/5 + 4/8 = 1.1

Answer:

$73915.40

Step-by-step explanation:

→ Find the multiplier

( 3 + 100 ) ÷ 100 = 1.03

→ Multiply by principal amount and raise it to the power of years

55000 × 1.03¹⁰ = 73915.40

Answer: $630,513.36

Step-by-step explanation:

Let's make a table of values to see how much he earns every year after graduation.

1 year -> $55,000

2 years -> 55,000 * 103% = $56,650

3 years -> 56,650 * 103% = 55000 * 103% * 103% = $58,349.50

4 years ->  58349.50 * 103% = 55,000 * 103% * 103% * 103% = 55000(1.03)³

Here, we see that every year, he gets 103% of what he got the previous year, which is also 1.03 times his previous salary.

We also see that we multiply 55000 by 1.03 three times in the fourth year, and two times in the third year. This means that we multiply 55000 by 1.03 n-1 times.

Using this, let's generalize this for n.

n years -> \(55000(1.03)^{n-1}\)

We are trying to find his total income after ten years, or the sum of his salary from year 1 to year 10. We can represent this in sigma notation like this

\(% Adjusted limits of summation$\displaystyle\sum_{n=1} ^{10} 55000(1.03)^{n-1}$\)

This essentially translates to the sum of the first ten terms in the sequence \(55000(1.03)^{n-1}\), starting at n=1.

Since this is a geometric sequence, or a sequence where we need to multiply by the same number to get to the next term, we can find the sum using the sum of geometric series formula. This formula is as follows:

\(S_n=a_1\frac{1-r^n}{1-r}\)

where \(S_n\) is the sum of the first n terms, \(a_1\) is the first term, r is the common ratio, and n is the number of terms. In this question, \(S_n\) is the total income after n years, \(a_1\) is his salary after the first year, r is how much his salary increases by each year, and n is the number of years we are calculating the sum for.

\(a_1\) -> 55000

r -> 1.03

n -> 10

Now that we have the values for each variable, let's plug them in and solve

\(S_{10}=55000(\frac{1-1.03^{10}}{1-1.03})\\S_{10}=630513.36\)

The total income he will have received after ten years is $630,513.36.

Answer:

let the unknown side be 'x'

Step-by-step explanation:

then sides of triangle became 'x', 'x,'and 'x-4'

we know,

perimeter =(x)+(x)+(x-4)

20 m =3x-4

3x= 24

x =8m

hence sides of triangle are 8 m, 8m and 4m

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

octagonal pyraimed and squre prims

Answer:

20%

Step-by-step explanation:

the discount: 285-228=$57

percentage of the discount: 57/285 x 100=20%

Answer:

\( \frac{1}{3} \)

Step-by-step explanation:

\( \frac{3}{94} = 0.31 \\ \\ \frac{1}{3} = 0.33\)

The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.

The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.

Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.

Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.

Hence, the correct option is {−4, −2, 0, 3, 5}.

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Answer: 15

Step-by-step explanation:

Sorry bout that.....

Answer:

\(A. H_o: \mu = 74 ^{\circ} F\)

Step-by-step explanation:

A null hypothesis refers to the hypothesis in which there is no important difference taken place and it is used in statistics and it also does not have any relation between the two measured events or variables  or group association

It can be denoted by

\(A. H_o: \mu = 74 ^{\circ} F\)

Therefore the above null hypothesis is the correct answer

The value of \(^6P_6\) is 720

The expression is given as:

\(^6P_6\)

The permutation formula is:

\(^nP_r = \frac{n!}{(n - r)!}\)

So, we have:

\(^nP_r = \frac{6!}{(6 - 6)!}\)

Evaluate the difference

\(^nP_r = \frac{6!}{0!}\)

0! = 1.

So, we have:

\(^nP_r = 6!\)

Evaluate the factorial

\(^6P_6 = 720\)

Hence, the value of \(^6P_6\) is 720

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Answer:

1, 4, 3, 5, 6

Step-by-step explanation:

5(5x² - 9x) = 45x + 40 ← distribute parenthesis on left side

25x² - 45x = 45x + 40 ← subtract 45x + 40 from both sides

25x² - 90x - 40 = 0 ← factor out 5 from each term

5(5x² - 18x - 8) = 0

5(x(5x + 2) - 4(5x + 2))

5(x - 4)(5x + 2)

Answer:

The order is: 1, 4, 3, 5, 6

Step-by-step explanation:

5(5x² - 9x) = 45x + 40

25x² - 45x = 45x + 40

25x² - 90x - 40 = 0

5(5x² - 18x - 8) = 0

5(x(5x + 2) - 4(5x + 2)

5(x - 4)(5x + 2)

The order is: 1, 4, 3, 5, 6

The interest rate for an investment to quadruple after 7 years of continuous compound interest would be = 57%

Continuous compound interest is defined as the type of interest that is accumulated overtime which is related to an investment made for a period of time.

The number of years = 7 years

simple interest = 1

Rate = X

But 100/7 = X

X4 = 100/7×4

X = 400/7

X= 57%.

Therefore, to receive a quadruple investment after 7 years, the rate would be at 57% .

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19.80

Step-by-step explanation:

Answer:

-21°C

Step-by-step explanation:

Since the plane is flying at an altitude of 5 kilometers, then we have to multiply 6.4 by each kilometer that the plane's altitude increased (5). After that, we will end up with 32°C that we have to subtract from the ground temperature of 11°C. Once we do that, we get -21°C which means that the temperature at an altitude of 5 kilometers is -21°C.

(sorry if this is confusing but I hope this helped)

Answer:

LCM of 12 and 3 is 12

Step-by-step explanation:

hope it helps you vhprince

To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

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Answer:

x = 25

Step-by-step explanation:

Use Pythagoras' Theorem \(a^s+b^2=c^2\)

where a and b are the legs and c is the hypotenuse of a right triangle

\(\implies 7^2+24^2=x^2\)

\(\implies 49+576=x^2\)

\(\implies 625=x^2\)

\(\implies x=\sqrt{625}\)

\(\implies x=\pm25\)

\(\implies x = 25\) only, as distance is positive

Use Pythagorean theorem

\(\\ \rm\longmapsto x^2=24^2+7^2\)

\(\\ \rm\longmapsto x^2=576+49\)

\(\\ \rm\longmapsto x^2=625\)

\(\\ \rm\longmapsto x=25\)

Answer:

c) 5, -5

Step-by-step explanation:

5 + (-5)

= 5 - 5

= 0

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

In the given diagram the measure of AB is 30 and the measure of AC is 22.5

From the question, we are to determine the measures of AB and AC

From similar triangle theorem,

Triangle ABC is similar to Triangle DEC

Thus,

We can write that

AB/BC = DE/EC

AB/15 = 16/8

AB = (15 × 16)/8

AB = (240/8

AB = 30

Thus, the measure of AB is 30

Also,

AC/BC = DC/EC

AC/15 = 12/8

AC = (15 × 12)/8

AC = 180/8

AC = 22.5

Hence, the measure of AC is 22.5

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Answer:

The z-score for this data is Z = -0.26.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

This is based on knowledge that in the U.S., the mean PAL is 1.65 and the standard deviation is 0.55.

This means that \(\mu = 1.65, \sigma = 0.55\)

A study took a random sample of 51 people who lived in low income neighborhoods and found their mean PAL to be 1.63.

This means that \(n = 51, X = 1.63\)

Using a one-sample z test, what is the z-score for this data

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{1.63 - 1.65}{\frac{0.55}{\sqrt{51}}}\)

\(Z = -0.26\)

The z-score for this data is Z = -0.26.

\(\cfrac{3}{8}~~ \ne ~~\cfrac{13}{40}\qquad \begin{array}{llll} \textit{unequal simplified fractions}\\ \textit{\underline{not a proportion}} \end{array}\)

bear in mind that 3 and 13 are both prime numbers, thus not reducible.