what is the complete factorization of 2x^3 -9x^2 - 5x?

A similar formulation that distributes the negative sign outside of parenthesis is as follows: -(-0.2m+6) = 0.2m - 6

An expression in mathematics is a grouping of numbers, symbols, and operators that depicts a connection or calculation. Variables, which stand for unknowable values that can subsequently be replaced with known values, can be included in expressions. For instance, "2x + 3" denotes a calculation that multiplies 2 by the variable x, then adds 3. The calculation represented by the equation "3y - 7" consists of multiplying 3 by a variable called y, and then taking that result from 7. Exponents, parentheses, and other mathematical operations can all be used in expressions to form more sophisticated calculations.

given

Each term inside the parenthesis turns to the opposite sign when the negative sign is placed outside of them. We thus have:

-(-0.2m+6) = (-1) (-1)

(-0.2m) + (-1)(6) (6)

Simplifying even more

(-1)(-0.2m) = 0.2m

(-1)(6) = -6

A similar formulation that distributes the negative sign outside of parenthesis is as follows: -(-0.2m+6) = 0.2m - 6.

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Measure of arc MLK is 270°

Angle MKL = 135 degrees

We are looking for the measure of the arc MLK

The diagram shows an angle formed by a chord (MK) and tangent

The relationship between angle formed by a chord and tangent:

Measure of arc MLK:

The statement that could be true for the function g is Option A: g(-13) = 20.

Given the information about the function g, we can eliminate some options based on the domain, and range, and provide values of g(x).

The domain of g is -20 ≤ x ≤ 5, and the range is -5 ≤ g(x) ≤ 45.

Option A: g(-13) = 20
This option is plausible because -13 is within the domain of g (-20 ≤ x ≤ 5) and 20 is within the range of g (-5 ≤ g(x) ≤ 45).

Option B: g(7) = -1
This option can be eliminated because 7 is not within the domain of g (-20 ≤ x ≤ 5).

Option C: g(0) = 2
This option can be eliminated because it contradicts the given information that g(0) = -2.

Option D: g(-4) = -11
This option can be eliminated because -11 is not within the range of g (-5 ≤ g(x) ≤ 45).

Based on the provided information and analysis, the statement that could be true for the function g is g(-13) = 20. Therefore, the correct option is A.

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Answer:

Line BD⊥ Line AC

ΔDMC ≅ ΔDMA

Answer:

110011001 is the binary equivalent of the number 409

Answer:  \(\frac{28}{27}\) or \(1\frac{1}{27}\)

Step-by-step explanation:

\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)

\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)

\(\frac{28}{27} = 1 \frac{1}{27}\)

Options

Answer:

(D)g(3) = 18

Step-by-step explanation:

Given that the function, g, has a domain of -1 ≤ x ≤ 4 and a range of                       0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8

Then the following properties must hold

We consider the options and state why they are true or otherwise.

Option A: g(5)=12

The value of x=5. This contradicts property 1 stated above. Therefore, it is not true.

Option B: g(1) = -2

The value of g(x)=-2. This contradicts property 2 stated above. Therefore, it is not true.

Option C: g(2) = 4

The value of g(2)=4. However by property 4 stated above, g(2)=9. Therefore, it is not true.

Option D: g(3) = 18

This statement can be true as its domain is in between -1 and 4 and its range is in between 0 and 18.

Therefore, Option D could be true.

Answer: g(3) =18

Step-by-step explanation: thats probably all you need

Answer:

This is your answer

Answer:

\(6x^2 + 2x\)

Step-by-step explanation:

2x * (6x+2) = 12x^2 + 4x = 2 * area

area = 6x^2 + 2x

Step-by-step explanation:

a) 1.16× 10^-6

standard form should be less than 10. therefore, count decimal places from where the decimal point is located to the right until you reach a number less than 10 ....count the number of shifts in the above is 6 shifts to the right. when moving to the right, power will be negative.(-6)

1.157/1.16 ×10^-6

b) 6.79 × 10^10

67890000000....count till a number less than 10.there will be 10 shifts to the left. the 10 will be your power,(positive) since u r moving to the left exponent is positive

6.789/6.79 × 10^10

\(1.157 \times {10}^{ - 6} \)

\(6.79 \times {10}^{10} \)

Step-by-step explanation:

\(mark \: me \: as \: brainliest\)

The length of the rectangle is found as 7 feet.

For the stated question;

Let the length and the width of the rectangle be 'L' and 'B'.

Then, width is given as;

W = L-2

Area = 35 square feet

A = LW = 35

Put the value of W

L(L-2) = 35

L² -2L - 35 = 0

L² -2L - 35 =0

(L-7)(L+5) = 0

L > 0 so, L=7 is solution

Thus, the length of the rectangle is found as 7 feet.

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The correct question is-

A rectangle is drawn so that the width is 2 feet shorter than the length. the area of the rectangle is 35 square feet. find the length of the rectangle.

The numerical limits for a D grade are from 57.5 to 78.3 for the given standard deviation and mean.

A statistical generalization that works with normally distributed data is the empirical rule. According to the empirical rule, roughly 68% of the data lies within one standard deviation of the mean, approximately 95% of the data falls around two standard deviations of the mean, and nearly 99.7% of the data falls within three standard deviations of the mean. The empirical rule may be applied to the data to rapidly calculate the percentage of the data that falls inside a given range or to spot outliers.

Given that, the score D: Scores below the top 76 % and above the bottom 6%.

The z-score corresponding to the top 76% of scores is approximately 0.67 and 6% of scores is approximately -1.64.

Using the formula of raw score we have:

raw score = (z-score x standard deviation) + mean

For the top 76% of scores, we have:

raw score = (0.67 x 8.6) + 72.2 = 78.3

For the bottom 6% of scores, we have:

raw score = (-1.64 x 8.6) + 72.2 = 57.5

Hence, the numerical limits for a D grade are from 57.5 to 78.3.

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Answer:

\(25x^{3}-15x^{2} -38x-8\)

Step-by-step explanation:

Multiply the equations together

(5x+4)(5x^2-7x-2)

25x^3-35x^2-10x+20x^2-28x-8

Add like terms

25x^3-15x^2-38x-8

Answer:

9pi approx= 28.3sqmm

Step-by-step explanation:

The question says the diameter is 6mm. So the radius is 3mm. They are asking for the area. It says area of the nail. But since no other measurements are given it must mean, area of the nailhead.

Area of a circle is pi×r^2

=pi(3^2)

=9pi

This is the exact answer. 9pi sqmm

or if they want a decimal approximation it is 28.3 sqmm

Answer:

7.99

Step-by-step explanation:

using the formula

\(v = \pi \: r ^{2} h \)

\(3014.4 = 22 \div 7 \times r ^{2} \times 15\)

\(21100.8 = 22 \times 15 \times r {}^{2} \)

\(21100.8 = 330 \times r {}^{2} \)

\(21100.8 \div 330 = r {}^{2} \)

\( \sqrt{63.94 }= r\)

\(r = 7.99ft \: answer\)

The money will last approximately 20.0 years before it runs out.

To determine how long the money will last, we need to calculate the number of semiannual withdrawals the child can make before the account balance is depleted. Initially, the child receives $107,440 as a gift, which will serve as the principal amount in the bank account. The account is compounded semiannually at a 6% interest rate. To calculate the number of withdrawals, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount after t years

P = the principal amount (initial gift) = $107,440

r = the annual interest rate (converted to decimal) = 0.06

n = the number of times interest is compounded per year = 2 (since it's compounded semiannually)

t = the number of years

The child makes withdrawals of $5,000 at the end of each half year, reducing the principal amount by $5,000. We need to find the value of t that will make the account balance reach zero. Once we calculate the value of t using the compound interest formula, we find that t is approximately 20.0 years. Therefore, the money will last around 20.0 years before it runs out.

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The last two rows of the table should be completed as follows:

Input   Output

8       22.80

10      28.50

An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.

The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.

To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.

Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.

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Answer:

- 204

Step-by-step explanation:

2x = 60

x = 30

6 - 7(30) = -204

Answer:

-204

Step-by-step explanation:

Step 1- Solve for the value of x

2x = 60

Divide 60 by 2 so x is by its self

x = 30

Step 2- Plug in 30 for x in the second equation

6 - 7(30)

6 - 210

-204 is the answer

Approximately 21.5% of all high school graduates in the United States have used marijuana, according to the centers for disease control (cdc). In order to assess this evidence, we need to find  test statistic z value

To assess the evidence and test the sociologist's claim that the rate of marijuana use among African American high school seniors is lower than the overall rate of 21.5%, we need to perform a hypothesis test.

The null hypothesis (H0) is that the true proportion of African American high school seniors who have used marijuana is equal to or greater than 21.5% (i.e., p >= 0.215), while the alternative hypothesis (Ha) is that the true proportion is less than 21.5% (i.e., p < 0.215).

We can use a one-sample z-test for proportions to test this hypothesis. The test statistic is calculated as:

\(z = (p' - p) \sqrt{\frac{p * (1 - p) }{n} }\)

where p' is the sample proportion, p is the hypothesized population proportion under the null hypothesis, n is the sample size, and sqrt is the square root function.

In this case, p = 0.215, p'= 0.165, and n = 375. Therefore, the test statistic is:

\(z = (0.165 - 0.215 \sqrt{\frac{0.215 * (1 - 0.215) }{375} }\) ≈ -2.35

The critical value for a one-tailed test with a significance level of 0.05 is -1.645. Since the calculated test statistic (-2.35) is less than the critical value (-1.645), we can reject the null hypothesis and conclude that there is evidence to suggest that the rate of marijuana use among African American high school seniors is lower than the overall rate of 21.5%.

Note that we cannot say with certainty that the true proportion is exactly 16.5%, but we can say that the data provide evidence that the true proportion is lower than 21.5% at a significance level of 0.05.

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Answer:

An acute angle is greater than 0 and less than 90

Step-by-step explanation:

An acute angle is greater than 0 and less than 90

A right angle is 90 degrees

An obtuse angle is greater than 90 and less than 180

Answer:

Between 0 and 90 because think of a cute baby they are small put it to angles they are smaller than an obtuse angle and so on.

Step-by-step explanation:

Answer:144 grams

Step-by-step explanation:normal crayons usually weigh 9g

Answer: 1 1/6

Step-by-step explanation:hope this helps !

Answer:

it would be

1 1/6

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

4x-12=8x+24

we change the signs when we bring 8x on the left hand side so positive 8x becomes -8x.

4x-8x-12=24

we change sign when we bring -12 on the right hand side it becomes +12

4x-8x=24+12

-4x=36

x=36/-4

x=-4

Despite the fact that f and g are both discontinuous, the composite fg is continuous.

The statement "If f and g are both discontinuous, then f∘g is discontinuous" is not always true. The composition of two discontinuous functions can be continuous in certain cases.

Consider the following counterexample:

Let f(x) be defined as follows:

f(x) = 1 if x is rational

f(x) = 0 if x is irrational

Let g(x) be defined as follows:

g(x) = 1 if x is rational

g(x) = -1 if x is irrational

Both f(x) and g(x) are discontinuous at every point. However, if we calculate the composition f∘g, we get:

(f∘g)(x) = f(g(x))

For rational values of x, g(x) = 1, and therefore (f∘g)(x) = f(1) = 1.

For irrational values of x, g(x) = -1, and therefore (f∘g)(x) = f(-1) = 0.

As we can see, (f∘g)(x) is a constant function with no discontinuities. Therefore, the composition f∘g is continuous, despite f and g being discontinuous individually.

This counterexample demonstrates that the original statement is not always true, and there can be cases where f∘g is continuous even if f and g are both discontinuous.

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Answer:

c 3

Step-by-step explanation:

the y intercept is where the line crosses the 0 x-axis

So ask yourself, what is the y when the x is 0?

on this one, the line crosses the 0 x-axis at 3 y

when the x is 0, the y is 3

So thats the y intercept

Given: A arrangement of the letter 'PATTERNS' is given.

Required: To determine the number of paths that spell the word 'PATTERNS' if all paths must start at the top and move diagonally through the

letters.

Explanation: The Pascal Triangle can be used to determine the number of ways the word 'PATTERNS' can be spelled.

The Pascal Triangle is shown below

One exciting thing about Pascal's Triangle is if we move diagonally from top to bottom, each number denotes the number of ways to get to the position from the top.

Hence to spell the word 'PATTERNS', we would need to get to the 8th row.

Hence we need to add all the entries of the 8th row to get the total number of ways to spell the word.

Final Answer: The total number of paths that spells the word 'PATTERNS' is 128.

Answer: Each classmate got 9 pencils

Step-by-step explanation: if you divide 8 from 75, you get 9 pencils for each classmate and 3 for Jessica to keep.

The matrix 3 x 8 is a full rank matrix.

Matrix:

Matrix are a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.

Full rank matrix:

The rank of a matrix is the maximum number of its linearly independent rows.

Based on that, A full rank matrix is one which has linearly independent rows or/and linearly independent columns.

Given,

There is a matrix, which is 3x8, and 3 columns are linear dependent

Her we need to check whether the matrix is full rank or not.

We know that, the matrix is 3 x 8,

And 3 column are linear dependent,

Based on the following condition,

An  m×n  matrix with  m<n , then it has full rank when its m are linearly independent.

So, the given matrix 3 x 8 is the full rank matrix.

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Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = base² +altitude²

Diagonal² = 17² + 12.75²

                = 289 +162.5625

               = 451.5625

Diagonal = √451.5625

              = 21.25

Answer:

The answer is 21.25

Step-by-step explanation:

Answer:

8+8+9+9

If 8 is the diameter then that's the answer

Step-by-step explanation:

let's find the circumference of the semi circle. as it's a parallelogram opposite sides are equal. therefore 2 semicircles will have the same circumference

circumference of circle = 2pi r

circumference of half circle = half of circle= pi r

circumference of half circle = 22/7 × 4 ( diameter is 8 therefore radius is half of that)

circumference of half circle = 88/7

this image has 2 half circles with same radius

now find the perimeter of total figure

perimeter= 9+ 9+ 88/7 +88/7

= 18 + 176/7

= 18+ 25.14

= 43.14

to nearest tenth place = 43.1

Answer:

12 units right 6 units down