Use factoring and the zero-product property to find the zeros of:
f(x) = 2x² + 3x-2

Answer:

290

Step-by-step explanation:

210 x 2 = 420

420 - 130 = 290

Answer:

Sum of 12-sided polygon=1800°

Measure of each interior angle of a regular12-sided polygon=150°

Answer:

Step-by-step explanation:if angle a is 42 then b is 42 which means its 42 right, so its cos(42)=AB over 10, the last one its a educated guess.

[tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex] is the monthly payment

What is Compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

According to given question:

Principle Amount (P) = $200, 000

Rate(r) = 4% yearly

Rate(r) = 4/12 % Monthly

Rate(r) = 1/3 % Monthly

Time = 20 years = 240 months

⇒ 240 is the number of payment needed to pay

n = 240

Therefore, the monthly payment needed to pay

⇒         [tex]m = \frac{P.r}{1-(1-r)^{-n} }[/tex]

  ⇒     [tex]m = \frac{200000.1/3}{1-(1-1/3)^{-240} }[/tex]

   ⇒    [tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex]

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Answer:

The value of x is (y + 3)/2

Step-by-step explanation:

y = 2x - 3

y + 3 = 2x - 3 + 3

y + 3 = 2x

2x/2 = (y + 3)/2

x = (y + 3)/2

Thus, The value of x is (y + 3)/2

Answer:

x = (y + 3)/2

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ y = 2x - 3

Then the value of x will be,

→ y = 2x - 3

→ 2x - 3 = y

→ 2x = y + 3

→ x = (y + 3)/2

→ x = (y/2) + (3/2)

Hence, answer is x = (y + 3)/2.

Answer: $5

Step-by-step explanation: To calculate how much she spent on the 4 boxes of candy, we need to subtract 5 from 25, because we won't be including the cost of the magazine. So, therefore 25-5 is 20. So, now to find the cost for one, we need to set up a proportional relationship like this:

[tex]\frac{20}{4}[/tex] = [tex]\frac{?}{1}[/tex]

So, with that, we need to divide 4 by 20 to find the cost of 1. So, if you know, 20 divided by 4 = 5. So, therefore the cost of each candy box is $5. We can check our answer if we use the inverse operations, so our new equation would look like this:

5(4) + 5 = 25

We can check this, because we know 5 x 4 = 20, and 20 + 5 = 25. So 25 = 25, so it is $5.00

The simplified expression of g(x) = x² - 4x² + x + 6 is g(x) = -3x² + x + 6

From the question, we have the following parameters that can be used in our computation:

g(x) = x² - 4x²+x+6

Rewrite properly

So, we have the following representation

g(x) = x² - 4x² + x + 6

Evaluate the like terms

g(x) = -3x² + x + 6

The above expression cannot be further simplified

Hence, the solution is g(x) = -3x² + x + 6

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Rounding to the nearest whole number, the limits for a 'b' grade are 75 and 81

In this question we have been given a philosophy professor assigns letter grades on a test according to the given scheme.

We need to find the numerical limits for a b grade.

b: scores below the top 12 % and above the bottom 63 % which means scores between the  63th and 88th percentile.

Given that the scores on the test are normally distributed with a mean of 72 and a standard deviation of 8.1

μ = 72, σ = 8.1

z-score at the 63th percentile: 0.332

z-score at the 88th percentile: 1.175

The lower limit of a 'b' grade is:

0.332 = X - μ/σ

0.332 = (X - 72)/8.1

2.67 = X - 72

X = 74.67

X ≈ 75

The upper limit of a 'b' grade is:

1.175 = X - μ/σ

1.175 = (X - 72)/8.1

9.52 = X - 72

X = 81.52

X ≈ 81

Therefore, you get a 'b' if you have a grade between 75 and 81

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The statement mentioned in the question is True.

The sample size of a survey is determined by the variability believed to be in the population, the acceptable margin of sample error, and the level of confidence required in estimates of the population values. These elements are important considerations when designing a survey because they help to ensure that the results of the survey are reliable and accurately reflect the characteristics of the population being studied.

To calculate the proper sample size for a survey, you need to first determine the size of the population being studied and the level of precision you want to achieve in your estimates. You also need to consider the level of confidence you want to have in your estimates and the acceptable margin of error for your survey. Once you have all of this information, you can use a sample size calculator or a statistical formula to determine the appropriate sample size for your survey.

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Consequently, it would take roughly 690,64 years for the disintegrations to disappear.

Disintegration occurs when a whole entity breaks up into smaller pieces or simply vanishes. Disintegration is the breakdown, fragmentation, or spontaneous disintegration of something. Knowing that integration brings things or people together will help you to understand that disintegration refers to things breaking apart.

Here,

The formula for this is Activity = decay constant x atoms.

1238 = 2.64 x 1010 times the decay constant

decay constant is equal to 4.76 x 10-8 min-1.

Currently, the disintegrations are being slowed to 809 disintegrations per minute.

Ln(809) = Ln(2.64 x 1010) - Ln(4.76 x 10-8 x t)

t=3.63x108min = 690.64y

Consequently, it would take roughly 690,64 years for the disintegrations to disappear.

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41% of the math team's total members are brand-new recruits.

It is the ratio of two integers expressed as a decimal fraction of a whole number. It is a statistic for contrasting two sets of data, and the % sign is used to describe it as a percentage.

Percentages are often and creatively used. For instance, a lot of data is published as percentages in the media, including bank interest rates, retail discounts, and inflation rates. Percentages are essential for grasping the financial aspects of daily living.

The percentage of the entire membership that the number of new members represents is determined to be

=(14/34)×100

=41 %

0.41 x 100 = 41%

This means that 41% of the club is new members!

Thus, the number of new members is 41% of the total membership of the maths team.

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The provided sequence's 12th through 15th terms add out to -200.

The formula is used to get the sum of n terms in an arithmetic sequence.

 Sn = ((2×a₁)+(d×(n -1)))×(n/2)

where d is the common difference and a₁ is the first number in the series.

Finding the total of four words in a series that starts with 100, 88, 76 is necessary to solve this issue. These are the 12th through 15th terms.

General Term

The formula indicates what an arithmetic sequence's general term is.

aₙ = a₁ +d(n-1)

where d is the common difference and a is the first term.

The first term in the above sequence, a₁  is 100, and the common difference is...

d = 88 -100 = -12

Then the general term is

aₙ = 100 -12(n -1)

The 12–15 term total is what we need. This sub-first sequence's phrase is

a₁₂ = 100 -12(12 -1) = 100 -132 = -32

The following words in the series will all share a -12 common difference. The following sum formula may be used to get the total of the four terms:

Sₙ = (2·a₁+d(n -1))(n/2) . . . . . . . for a₁=-32, d=-12, and n=4

S₄ = (2·(-32) -12(4 -1))(4/2) = (-64 -36)(2) = -200

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If we add any constant term in the variable then the standard deviation remains same. So it is not change.

In the given question, d is the standard deviation of x, y, and z.

We have to find the standard deviation of x+5, y+5, and z+5.

As we know that;

Data distribution in reference to the mean is measured by a standard deviation, or. Samples are said to be more narrowly collected around the mean when the standard deviation is minimal and more dispersed when the standard deviation is higher.

While a high or low standard deviation implies that data points are, respectively, above or below the mean, a standard deviation that is close to zero suggests that data points are, on the other hand, relatively close to the mean.

If we see that in each variable x, y, z a constant value 5 is added.

If we add any constant term in the variable then the standard deviation remains same. So it is not change.

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The right question is:

If d is the standard deviation of x, y, and z, what is the standard deviation of x+5, y+5, and z+5?

Answer: 32 females

Step-by-step explanation:

28 divided by 7 = 4

so, multiply 8 by 4 as well.

Answer: 32 females are at the movie

Step-by-step explanation:

8(females):7(males)

x:28

28/7= 4

x=4x8

x=32

There are 32 females

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=80/7

Decimal Form: x=11.428

or 11.44

Mixed Number Form: x=11 3/7

Answer:

i think 2/21 i think im wrong

Step-by-step explanation:

As x approaches positive infinity, the function r(x) approaches negative infinity.

What is a function approaches infinity?

In general, a fractional function will have an infinite limit if the limit of the denominator is zero and the limit of the numerator is not zero.

As x approaches positive infinity, the term x^3 becomes dominant, and the value of the function p(x) approaches positive infinity as well.

In general, when the highest-order term in a polynomial function has a positive coefficient, the function will approach positive infinity as x approaches positive infinity.

Similarly, if the highest-order term has a negative coefficient, the function will approach negative infinity as x approaches positive infinity.

For example, consider the function q(x) = 3x^3 - 2x^2 + x - 5. As x approaches positive infinity, the term 3x^3 becomes dominant, and the function q(x) approaches positive infinity. On the other hand, if we consider the function r(x) = -3x^3 + 2x^2 - x + 5, the highest-order term is -3x^3, which has a negative coefficient.

Therefore, as x approaches positive infinity, the function r(x) approaches negative infinity.

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ASA triangle congruence theorems would be used in this proof.

What is ASA rule ?

According to the ASA rule, two triangles are said to be congruent if any two of the angles and sides that make up one triangle are equal to the corresponding two angles and sides that make up the other triangle.

When two or more triangles are congruent, their corresponding angles and sides are also congruent, according to the formula CPCTC, which stands for "corresponding parts of congruent triangles are congruent".

So, AB=CD

Thus, ASA  triangle congruence theorems would be used in this proof.

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The reduced form of the radical √192  is  8√3.

A radical is a symbol that represents a particular root of a number. Radical simply means square root of a number.

Therefore, the symbols for radical is √.

Let's reduce the radical accordingly,

√192

Let's find number you can multiply to get 192. One of the numbers will be  a perfect square.

Therefore, the numbers are 64 and 3. 64 is the perfect square.

Therefore,

√192 = √64 × 3 = √ 8² × 3 = 8√3

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Answer:

There are four small lines between 0 and 1 in the number line, they denote the decimals : 0.2, 0.4, 0.6 and 0.8. Put the SUM on the 0.4 line

The two sentences meant to persuade are the following:

"This is something no other computer can do at present.

"This is the best buy on the market".

It should be noted that persuasion is used to make someone agree to a particular point. From the information, at the latest launch by the computer manufacturer Mintel Corporation, they demonstrated the latest smart technology in their new computer.

The computer has voice recognition software that can adapt the user's experience to his or her preferences. This is something no other computer can do at present.

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Answer:

The solutions to the given equations are x = 4, x = -4, x = 3y, x = -3y, 1/5x = 8y, and 1/5x = -8y.

Step-by-step explanation:

These are all algebraic expressions, which are combinations of variables, numbers, and mathematical operations. The first expression, 16 - x^2, is an example of a difference of squares. The second expression, x^2 - 9y^2, is also a difference of squares. The third expression, 1/25x^2 - 64y^2, is a difference of squares with a fractional coefficient in front of the first term.

To solve an equation, we need to find the values of the variables that make the equation true.

For the first equation, 16 - x^2, we can solve it by adding x^2 to both sides to get rid of the negative sign. This gives us 16 = x^2, and then we can take the square root of both sides to get x = +/- 4. Therefore, the solutions to this equation are x = 4 and x = -4.

For the second equation, x^2 - 9y^2, we can solve it by factoring the left-hand side to get (x - 3y)(x + 3y) = 0. This means that the product of the two factors on the left-hand side must be equal to 0, so either x - 3y = 0 or x + 3y = 0. Solving each of these equations separately, we get x = 3y and x = -3y. Therefore, the solutions to this equation are x = 3y and x = -3y.

For the third equation, 1/25x^2 - 64y^2, we can solve it by factoring the left-hand side to get (1/5x - 8y)(1/5x + 8y) = 0. This means that the product of the two factors on the left-hand side must be equal to 0, so either 1/5x - 8y = 0 or 1/5x + 8y = 0. Solving each of these equations separately, we get 1/5x = 8y and 1/5x = -8y. Therefore, the solutions to this equation are 1/5x = 8y and 1/5x = -8y.

In summary, the solutions to the given equations are x = 4, x = -4, x = 3y, x = -3y, 1/5x = 8y, and 1/5x = -8y.

6. The transformation or set of transformations which map a point (x, y) onto the point (3x, 3y+4 ) is; Choice A; a dilation of scale factor 3 through the origin followed by a translation of up 4 unit.

5. The description of a figure and its image match the transformation described by (x, y) → ( x+5, y ) is; The figure and its image are similar, and the image has been translated 5 unit to the right.

It follows from transformations that a transformation using a scale factor, k about the origin is represented as; ( x, y ) → ( kx, ky ).

Also a shift in the horizontal or vertical direction by k units is represented by; ( x, y ) → ( x ± k, y ± k ) intuitively and respectively.

On this note, the given transformations are as represented in the answer section above.

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Increases in tolerable misstatement will decrease sample size and assessed level of control risk will Increase sample size in a substantive test of details.

Sample size will be decreased when there is an increase in tolerant misstatement because there is a deviation that does not impact the financial statement. An increase in the assessed level of control risk, on the other hand, will increase sample size because the risk of material misstatements has also increased.

Complete question:-

How would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details?

a. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Decrease sample size

b. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Increase sample size

c. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Decrease sample size

d. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Increase sample size

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Answer:

It is 11-9/16

Step-by-step explanation:

[tex]y= - \frac{1}{3} z +2[/tex] is slope intercept form of given equation.

Given liner equation :

[tex]\frac{1}{3} z + y = 2[/tex]

[tex]y = 2 - \frac{1}{3} z[/tex]

[tex]y= - \frac{1}{3} z +2[/tex]

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Answer: Crust and asthenosphere should be switched

Step-by-step explanation:

Brainliset please?

Answer:

Step-by-step explanation:

crust is the surface of the earth and the asthenosphere below it with currents that cause earthquakes.

The value of x on the equation 2.25 + 0.4x = -2.8 is -0.1375.

A equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions.

The equation is given as;

- 2.25 + 0.4x = -2.8

Collect the like terms

0.4x = -2.8 + 2.25

0.4x = -0.55

Divide

x = -0.55 / 0.4

x = - 0.1375

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