if asked to evaluate the following expression (5x+25) for x=3,5,-5,0 how many different substitutions will you make?

By using the given domain and range, we will see that the false statements are:

What we know about the function f(x) is:

The domain is: -10 ≤ x ≤ 20

The range is: -40 ≤ f(x) ≤ -10

Which statements are false:

1)  f(0)= 0

This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.

2. f(1) = 13

Same reasoning than above, 13 is outside of the range.

3. f(-15) =- 20

The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.

4)  f(-9) = 88

88 is outside the range of the function, so this is false.

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Answer:

Exact form: x = 36\5

Decimal form: 7.2

Mixed number form: 7 1\5

Each statement about integer is:

Statement A: If positive is subtracted from a negative integer, the difference is negative integer.

This statement is sometimes true.

If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer. For example, if -5 is subtracted from -3, the difference is -8, which is a negative integer. However, if -3 is subtracted from -5, the difference is 2, which is a positive integer. The difference sign depends on which value is the bigger one.

Statement B: If a positive integer is subtracted from a positive integer, the difference is a positive integer.

This statement is sometimes true.

If a positive integer is subtracted from a positive integer, the difference can be a positive integer or a negative integer. For example, if 3 is subtracted from 5, the difference is 2, which is a positive integer. However, if 5 is subtracted from 3, the difference is -2, which is a negative integer.

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Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Step-by-step explanation:

Refer to attachment.

Hope it helps.

Sadie's earnings varys directly with the number of hours worked.

The number of hours worked in a week where her earnings would be $210 is 20 hours.

Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases. Sadie's earnings increase with hours worked. This is a direct variation.

Hours worked = Total earnings / earning per hour

210 / 10.50 = 20 hours

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Answer:

15

Step-by-step explanation:

Let's call the mystery number x.

\(14\cdot 15\cdot x=3150 \\\\210x=3150 \\\\x=3150/210=15\)

Hope this helps!

The equation that represents the third number is x × 15 × 14 = 3150. Then the third number is 15.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The product of three numbers is 3150. Two of the number are 14 and 15.

Let 'x' be the unknown number. Then the equation is given as,

x × 15 × 14 = 3150

Simplify the equation, then we have

x × 15 × 14 = 3150

210x = 3150

x = 3150 / 210

x = 15

The equation that represents the third number is x × 15 × 14 = 3150. Then the third number is 15.

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the value of x for the given algebraic expression will be 1 or -1/4.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given an algebraic expression √(15x+10) = 2x + 3

Simplifying the expression

=> √(15x+10) = 2x + 3

square both sides

=> 15x + 10 = (2x +3)²

=>  15x + 10 = 4x² + 9 +12x

compare the same variables

=> 4x² -3x -1 = 0

=> 4x² - 4x +x -1 = 0

=> 4x(x -1) +1( x+1) =0

=> x = 1, -1/4

therefore, the value of x for the given algebraic expression will be 1 or -1/4.

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Answer:  \(\boldsymbol{\frac{5\text{x}-2}{\text{x}^2-\text{x}}}\)  (choice D)

You have the correct answer.

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

Work Shown:

\(\frac{2}{\text{x}} + \frac{3}{\text{x}-1}\\\\\frac{2(\text{x}-1)}{\text{x}(\text{x}-1)} + \frac{3\text{x}}{\text{x}(\text{x}-1)}\\\\\frac{2\text{x}-2}{\text{x}^2-\text{x}} + \frac{3\text{x}}{\text{x}^2-\text{x}}\\\\\frac{2\text{x}-2+3\text{x}}{\text{x}^2-\text{x}}\\\\ \boldsymbol{\frac{5\text{x}-2}{\text{x}^2-\text{x}}}\\\\\)

--------

Explanation:

The idea I used is that we cannot add the fractions unless the denominators are the same. The denominators x and (x-1) lead to the lowest common denominator, aka LCD, of \(\text{x}(\text{x}-1) = \text{x}^2 - \text{x}\). We multiply the denominators together to get the LCD.

The first original fraction \(\frac{2}{\text{x}}\) is missing (x-1) in the denominator. This is why I multiplied top and bottom by (x-1) in the 2nd step. Similarly, the fraction \(\frac{3}{\text{x}-1}\) is missing an x out front to get to x(x-1). This is why I multiplied top and bottom of that fraction by x.

After we get the denominators to be the same, we can then add the numerators like any other algebraic expression. The denominator stays the same the entire time.

It's similar to how \(\frac{2}{7} + \frac{3}{7} = \frac{2+3}{7} = \frac{5}{7}\) has the numerators add like you'd expect while the denominator stays at 7 the entire time.

You can think of it like this: "2 sevenths + 3 sevenths = 5 sevenths" or "2s+3s = 5s" for short. The term "sevenths" is effectively a unit such as cm or meters. We must have common units if we want to add them.

Answer:

he has travelled nine blocks

Step-by-step explanation:

four blocks + two blocks + three blocks

=nine blocks

Answer:

x=-1

Step-by-step explanation:

2x+3/4(4x+16)=7

2x+(3x12)=7--->distributive property

2x+3x+12=7

5x+12=7--->addition property

5x=-5--->subtraction peroperty

x= -1---?division property

The factored form of the equation f(x) = 2x² – 9x – 18 is  (2x-3)(x+6)

The given equation is 2x² – 9x – 18

We have to factor out the expression

Let us take a=2, b=-9 and c =-18

To factor the equation, we need to find two numbers that add to -9 (which is the b variable in the equation) and multiply to -36

2x²+12x-3x – 18

2x(x+6)-3(x+6)

(2x-3)(x+6)

Hence, the factored form of the equation f(x) = 2x² – 9x – 18 is  (2x-3)(x+6)

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Answer:

number is 10

Step-by-step explanation:

let n be the number, then 4 more than the number is n + 4, thus

n(n + 4) = 140 , that is

n² + 4n = 140 ( subtract 140 from both sides )

n² + 4n - 140 = 0

Consider the factors of the constant term (- 140) which sum to give the coefficient of the n- term (+ 4)

The factors are + 14 and - 10 , since

14 × - 10 = - 140 and 14 - 10 = + 4 , thus

(n + 14)(n - 10) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 14 = 0 ⇒ n = - 14

n - 10 = 0 ⇒ n = 10

Since n is a whole number the the required number is 10

A boat's capacity plate gives information on the maximum weight and number of people the boat can carry safely in: D. good weather.

A boat capacity plate can be defined as the U.S. Coast Guard capacity plate that contains information on the maximum weight and total number of persons which a particular boat can transport safely in good weather.

In accordance with federal regulations for boats in the United States of America, a boat's capacity plate gives information on the maximum weight and total number of people which a boat can safely transport (carry) in good weather.

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Answer:

15,120

Step-by-step explanation:

i got it correct

answer: 15,120 for (plato/edmentum users).

Answer:

72 Remainder: 0

Step-by-step explanation:

3024 / 42 = 72

Remainder of 0!

Answer:

Step-by-step explanation:

72 Remainder 0

The inequality representation can be expressed as: -4 < x < 5

An inequality is a mathematical connection that exists between two expressions and may be expressed by one of the following:

From the given expression, the conversion of °C to F is estimated by using the formula:

(°C × 9/5) + 32

For  -20°C , we have:

= (-20°C × 9/5) + 32

= -4 F

For -15°C, we have:

= (-15°C × 9/5) + 32

= 5 F

Therefore, this can be represented in inequality form as: -4 < x < 5.

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The expected frequency of South campus and passed will be 36.5. Calculating the total number of students who took the aptitude exam is the first step in determining the expected frequency of South campus and passing.

Total number of students = 42 + 31 + 58 + 69 = 200

The marginal totals for South campus and passed need to be calculated as:

Marginal total for South campus is 42 + 58 = 100

Marginal total for passed is 42 + 31 = 73

Using the following formula, we can now know the anticipated frequency for the South campus and passed:

Expected frequency = (row total * column total) / grand total

Expected frequency for South campus and passed = (100 * 73) / 200 = 36.5

Therefore, the expected frequency of South campus and passed=36.5.

In the event that there is no appreciable difference between the two campuses' pass rates, this statistic represents the anticipated number of students who passed the aptitude exam at the South campus.

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In order to find the sample size, we can use the following formula that relates the population and sample standard deviations:

For a confidence interval of 95%, we have z = 1.96.

Then, using the values of the standard deviations, we have:

Rounding to the next whole number, we have a sample size of 139.

Answer:

Step-by-step explanation:

Hello!

1. Start by Plugging your numbers in. now all you have to do is 5 divided by 6! Use a calculator but anything works.

The solution set to the inequality is \(x\leq \frac{1}{2}\) or \(x\geq \frac{3}{4}\).

It is given to us that the inequality is -

\((4x-3)(2x-1)\geq 0\) -----(1)

From equation (1), we can obtain a quadratic equation that can be represented as -

\((4x-3)(2x-1)=0\)

Solving this quadratic equation, we get

\((4x-3)(2x-1) =0\\= > 8x^{2}-4x-6x+3 =0\\= > 8x^{2} -10x+3=0\)-------(2)

Now, equation (2) is in the form of a quadratic equation \(ax^{2} +bx+c=0\), where

a = 8, b = -10, and c = 3

The roots of this quadratic equation, \(x_{1}, x_{2}\) can be found out by -

\(x_{1} = \frac{-b+\sqrt{b^{2}-4ac } }{2a} \\x_{2} = \frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

\(= > x_{1} = \frac{-(-10)+\sqrt{(-10)^{2}-4*8*3 } }{2*8} \\x_{2} = \frac{-(-10)-\sqrt{(-10)^{2}-4*8*3 } }{2*8}\\= > x_{1}=\frac{10+2}{16}\\ x_{2}=\frac{10-2}{16}\\= > x_{1}= \frac{3}{4}\\ x_{2}= \frac{1}{2}\)

Thus, the solution set to the inequality \((4x-3)(2x-1)\geq 0\) can be concluded as -

\(x\leq \frac{1}{2}\) or, \(x\geq \frac{3}{4}\)

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Answer:

https://lhssullivan.weebly.com/uploads/8/6/7/8/86783260/unit_7_-_trig_-_practice_test_ans_key.pdf

Step-by-step explanation:

answer key :)

Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test

Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test. Content validity refers to the extent to which a test accurately measures the specific content or domain it is intended to assess. By involving subject matter experts, who are knowledgeable and experienced in the domain being tested, in the evaluation of each test item, we can gather expert opinions on the relevance, representativeness, and alignment of the items with the intended content. Their input can help ensure that the items are appropriate and adequately cover the content area being assessed, thus enhancing the content validity of the test.

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Answer:

IpI=4

Step-by-step explanation:

The p inside of the two lines indicates absolute value which would mean that the number would have to be a positive number. It's not the first choice because the player can either gain or lose points.

Answer:

C on edge

Step-by-step explanation:

Answer:

im not sure the answer but maybe you have to find a way 3/4 makes 7 im not sure just saying

Step-by-step explanation:

Answer: Try to multiply 3 into 7 or 3/4 and Write 7 x or ÷

Step-by-step explanation:

the approximate arc length traced out by the endpoint of the vector-valued function f(t) = tcos(t)i + tsin(t)j over the interval [0, 2π] is approximately 10.6706 units.

What is arc?

An arc is a curved segment of a circle or any curved line. It is formed by connecting two points on the curve, and the arc itself lies on the circumference of a circle or the curved line.

To find the arc length traced out by the endpoint of the vector-valued function f(t) = tcos(t)i + tsin(t)j over a specific interval, we can use the arc length formula for a vector-valued function.

The arc length formula for a vector-valued function r(t) = xi + yj + zk over an interval [a, b] is given by:

\(L = \int[a, b] \sqrt((dx/dt)^2 + (dy/dt)^2 + (dz/dt)^2) dt\)

In this case, our vector-valued function is f(t) = tcos(t)i + tsin(t)j, where x = tcos(t), y = tsin(t), and z = 0 (since there is no z-component in the function).

Therefore, we need to calculate the derivatives dx/dt, dy/dt, and dz/dt to substitute them into the arc length formula.

dx/dt = cos(t) - tsin(t)

dy/dt = sin(t) + tcos(t)

dz/dt = 0 (since z = 0)

Now, let's compute the arc length over the interval [a, b] using the arc length formula:

\(L = \int[a, b] \sqrt((cos(t) - tsin(t))^2 + (sin(t) + tcos(t))^2 + 0^2) dt\\\\= \int[a, b] \sqrt(cos^2(t) - 2tcos(t)sin(t) + t^2sin^2(t) + sin^2(t) + 2tcos(t)sin(t) + t^2cos^2(t)) dt\\\\= \int[a, b] \sqrt(1 + t^2) dt\)

Since the interval is given as [0, 2π], we will substitute a = 0 and b = 2π into the integral:

\(L = \int[0, 2\pi] \sqrt(1 + t^2) dt\)

Using numerical software or calculators, the approximate value of the integral is found to be approximately 10.6706.

Therefore, the approximate arc length traced out by the endpoint of the vector-valued function f(t) = tcos(t)i + tsin(t)j over the interval [0, 2π] is approximately 10.6706 units.

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Answer:

Step-by-step explanation:

\({ \sf{ factorise \: \: { \underline{ \green { \tt{ {x}^{2} (x + 2) - x(x + 2) - 12(x + 2)}}}}}}\)

\({ \sf{ \blue{ \:taking \: (x + 2) \: common}}} \\ \\{ \dashrightarrow { \sf{ \green{(x + 2)( {x}^{2} - x - 12)}}}}\)

\({ \dashrightarrow{ \sf{ \green{(x + 2)( {x}^{2} - (4x - 3x) - 12)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{(x + 2)( {x}^{2} - 4x + 3x - 12)}}}}\)

\({ \dashrightarrow{ \green{ \sf{(x + 2)(x(x - 4) + 3(x - 4))}}}} \\ \\ { \dashrightarrow{ \underline{ \boxed{ \green{ \sf{(x + 2)(x + 3)(x - 4)}}}}}}\)

Answer:

A ≈ 55.6 cm²

Step-by-step explanation:

The area (A) of the shaded region is calculated as

A = area of circle × fraction of circle

central angle of shaded region = 360° - 230° = 130° , then

A = πr² × \(\frac{130}{360}\)

   = π × 7² × \(\frac{13}{36}\)

   = 3.14 × 49 × \(\frac{13}{36}\)

   ≈ 55.6 cm° ( to the nearest tenth )