Solve the Quetion fine with the variable equals to make it true
(x+3)(x-5)=0 show your work

To convert km/h (kilometers per hour) to m/s (meters per second), we need to divide the speed by 3.6.

Therefore, 135 km/h = (135/3.6) m/s ≈ 37.5 m/s

So, 135 km/h is approximately equal to 37.5 m/s.

The domain for which functions f(x) = 2x² - 1 and g(x) = 1 - 3x are equal:{-2, 1/2}

When the functions f(x) = 2x² - 1 and g(x) = 1 - 3x are equal,

f(x) = g(x)

2x² - 1 = 1 - 3x

2x² + 3x -1 - 1 = 0

2x² + 3x - 2 = 0

We solve above quadratic equation to find the value of x.

2x² + 3x - 2 = 0

2x² + 4x - x - 2 = 0

2x(x + 2) - 1(x + 2) = 0

(x + 2)(2x - 1) = 0

x + 2 = 0    OR    2x - 1 =  0

x = -2         OR     x = 1/2

This means, for x = -2 as well as x = 1/2 the functions f(x)=2x^2−1 and g(x)=1−3x are equal.

Thus, the required domain is: {-2, 1/2}

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The type of nonprobability design that is most likely to yield a representative sample is a stratified random sampling.

In stratified random sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables that are relevant to the research objective. Then, a random sample is selected from each stratum proportionally to the size or importance of that stratum in the population. This approach ensures that the sample reflects the diversity and heterogeneity of the population.

By stratifying the population and using random sampling within each stratum, the stratified random sampling design increases the likelihood of obtaining a representative sample. It allows for accurate representation of different groups within the population, which can help reduce sampling bias and provide more precise estimates of population characteristics.

However, it's important to note that even with stratified random sampling, there may still be limitations and potential sources of bias. Factors such as nonresponse rates and the accuracy of the population data used for stratification can impact the representativeness of the sample. Nevertheless, when properly implemented, stratified random sampling is a valuable nonprobability design for achieving representativeness in a sample.

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Answer:

\(x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}\)

Step-by-step explanation:

\(-> 0=2x^2-2x-15\)

-zeros means the solution aka x intercept, meaning y=0

\(x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:2\left(-15\right)}}{2\cdot \:2}\)

=> according to quadratic formula

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

where \(ax^2+bx+c=0\)

=> \(x_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{31}}{2\cdot \:2}\)

simplify

\(x_1=\frac{-\left(-2\right)+2\sqrt{31}}{2\cdot \:2},\:x_2=\frac{-\left(-2\right)-2\sqrt{31}}{2\cdot \:2}\)

\(x=\frac{1+\sqrt{31}}{2},\:x=\frac{1-\sqrt{31}}{2}\)

Cannot simplify farther

Answer:

x > -7

-7x > 49

Multiply both sides by (-1) (Reverse inequality)

(-7x) (-1) < 49 (-1)

Simplify

7x < -49

Divide both sides by 7

7x/7 < -49/7

Simplify = x > -7

Answer: C

Step-by-step explanation:

The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.

Consecutive numbers are those that always appear in the same order, from smallest to largest.

For instance:

The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.

consecutive odd numbers:

Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."

Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.

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\( \frac{q}{7} + 1 > - 5➡q > - 42\)

\(\dfrac q7 + 1 > -5\\\\\implies \dfrac q7 > -5-1\\\\\\\implies \dfrac q7 > -6\\\\\\\implies q > -42\\\\\text{Interval,} ~ (-42, \infty)\)

The area of Maya's rectangular driveway, plotted in the coordinate plane of the graph the question, indicates;

9. The other two coordinates of Maya's rectangular driveway are; (-1, -8.5), and (1.5, 1).

The coordinates of a point on the coordinate plane, specifies the location of the point on the plane relative to the x- and y-axis.

The coordinates of the corners of Maya's driveway obtained from the graph on a similar questions posted online are; (-1, 1), (1.5, 1), (1.5, -8.5), (-1, -8.5)

The pair of points that have similar x- and y-values are indicative of lines parallel to the y-axis (vertical lines) and the the x-axis (horizontal lines).

9. The specified points of the plot on Maya's driveway are; (-1, 1), (1\(\frac{1}{2}\), -8\(\frac{1}{2}\)).

The other two coordinates of Maya's rectangular drive way are; (1.5, 1), and (-1, -8.5)

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James' scores are consistent because they have a standard deviation.

The standard deviation measures the spread or variability of a set of data. James has a standard deviation of 4, indicating that his scores tend to vary less compared to Danika's scores, who has a standard deviation of 8.

Having a standard deviation means that there is variability in James' scores, although it may be relatively lower compared to Danika's scores. This consistency in the spread of scores suggests that James' performance is more stable or consistent in terms of deviation from his mean score of 76.

Therefore, James' scores are consistent because they have a standard deviation.

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When the line to be examined's slope is known, and the provided point also serves as the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b).

When should you use point-slope form?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

One of the three ways we can express a straight line is using the point slope form, also known as the point-gradient form. By merely knowing one point on the line and the slope of the line, we may use this form to get the equation of the line.

The slope and y-intercept of the matching line can be rapidly determined when we have a linear equation in slope-intercept form. This enables us to graph it as well.

The equation of a line can be represented in either slope-intercept form or point-slope form.

Slope-intercept form:

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of the line passing through the points (3,5) and (6,11) in slope-intercept form, we can use the point-slope formula to find the slope and then use one of the points to find the y-intercept.

Point-slope form:

The point-slope form of a line is given by y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

To find the equation of the line passing through the points (3,5) and (6,11) in point-slope form, we can use the point-slope formula and one of the points.

Using the point-slope formula, the slope of the line is (11 - 5) / (6 - 3) = 6/3 = 2.

So, the equation of the line in slope-intercept form is:

y = 2x + b

We can use the point (3,5) to find the y-intercept:

5 = 2 * 3 + b

Solving for b, we get b = -1.

So the equation of the line in slope-intercept form is:

y = 2x - 1

In point-slope form, using the point (3,5), the equation of the line is:

y - 5 = 2(x - 3)

Both forms represent the same line, just in different ways.

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The type of sampling that is used when the probability of selecting each individual in a population is known and every member of the population has an equal chance of being selected is called "simple random sampling".

In simple random sampling, each member of the population is assigned a unique number or identifier, and then a random number generator or other random selection method is used to choose a subset of individuals from the population for the sample. This type of sampling is preferred in research studies because it helps to ensure that the sample is representative of the population as a whole, and can therefore provide more accurate and reliable results. Additionally, because every member of the population has an equal chance of being selected, this type of sampling reduces the potential for bias or favoritism in the selection process.

Overall, simple random sampling is a powerful tool for gathering data and making inferences about a larger population, and is widely used in many different fields and disciplines.

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I would assume that the angle of f equals 50°... sincesince the triangles are similar that means that the angles are most likely equal to each other. since the big triangle you can do it 90 + 40 which equals 130 then 180, since that is the total degrees in a triangle, minus 130 equals 50 this means 50 ° is the angle of c. keep in mind angle c equals angle f.

Answer:

Gina's height in inches: 63 inches

Noelle's height in inches: 67 inches

Equation: n + (n - 4) = 130

Step-by-step explanation:

n + (n - 4) = 130

n + n - 4 = 130

2n - 4 = 130

2n - 4 + 4 = 130 + 4

2n = 134

2n ÷ 2 = 134 ÷ 2

n = 67

67 - 4 = 63

The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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An online calculator to solve a system of equations is a tool that allows users to find the solutions to a set of equations with multiple variables.

It uses various methods such as substitution, elimination, and matrix operations to find the values of the variables that satisfy all the equations in the system. These calculators can be useful in solving real-world problems that involve multiple variables and equations, such as in engineering, economics, and science. Users can input the coefficients of the equations and the variables' names, and the calculator provides the solutions in numerical or symbolic form.

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(a) The probability is 4/499.

(b) The probability is = 1/2495.

(c) The probability  is = 2494/2495.

(d) The probability that the third container selected is defective is 3/498.

(e) The probability that the third container selected is defective is 4/498.

(f) The probability is = 1/16660.

(a) The probability that the second container selected is defective, given that the first one was defective, can be calculated by considering the reduced sample space. After one defective container has been selected, there are 499 containers remaining in the batch, with four defective ones. Thus, the probability is 4/499.

(b) The probability that both containers are defective can be calculated by multiplying the probabilities of selecting a defective container on the first draw and then on the second draw without replacement. Initially, there are five defective containers out of 500. After one defective container is selected, there are four defective containers left out of 499. Therefore, the probability is (5/500) * (4/499) = 1/2495.

(c) The probability that both containers are acceptable can be calculated by considering the complementary event to both being defective. Thus, it is 1 - (1/2495) = 2494/2495.

(d) Given that the first and second containers selected were defective, there are three defective containers left out of the remaining 498. Therefore, the probability that the third container selected is defective is 3/498.

(e) Given that the first container selected was defective and the second one was fine, there are four defective containers left out of the remaining 498. Thus, the probability that the third container selected is defective is 4/498.

(f) The probability that all three containers are defective can be calculated by multiplying the probabilities of selecting a defective container on each of the three draws without replacement. Initially, there are five defective containers out of 500. After the first defective container is selected, there are four defective containers left out of 499. After the second defective container is selected, there are three defective containers left out of 498. Therefore, the probability is (5/500) * (4/499) * (3/498) = 1/16660.

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Answer:

For any integer number n, the inverse additive of n is also an integer K such that:

n + K = 0

solving this for K, we get that:

K = -n

Then the inverse additive of n is -n.

Now that we know this let's complete this.

We know that for any two integers A and B, a minus b is equal to a plus the additive inverse of b.

To check this:

a minus b is written as:

a - b

And a plus the additive inverse of b is:

a + (-b)

because -b is the additive inverse of b.

Remember the rule sign:

(+)*(-) = -

Then we can rewrite:

a + (-b) = a - b

Then the statement is true.

"For any two integers a and b, a minus b is equal to a plus additive inverse of b is equal to a + (-b)"

The value of number is,

⇒ 547

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

It has 5 hundreds.

The tens digit is less than the hundred digit and the ones digit is 2 more than the hundreds digit.

Now, We have;

T < H

O = 2 + H

Hence, The numbers is,

⇒ 547

Therefore, The value of number is,

⇒ 547

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Therefore the factorize form for 4x⁴-16x²+9=0 ​ is x= ±  (9-√45) /4 or  x= ±  (9+√45) /4

To factorize the quadratic equation  4x⁴-16x²+9=0 , lets treat it as X²

(2x²)² - 4(2x²)(9/4) + 9 =0

Lets substitute u for 2x²

U² -4u(9/4) + 9=0

U² - 9u +9 =0

u = -b± √(b²-4ac) /2a

In this case, a = 1, b = -9 and c = 9, lets substitur.

u = (9 ± √-9² - 4(1)(9) / 2×1

Simplifying;

u = (9 ± √-81 - 36 / 2

u = (9 ± √45 / 2

For u1  (9  +√45/ 2

u2=  (9 -√45/ 2

Therefore,

2x² = (9-√45)/2

x² = (9-√45) /4

Therefore the factorize form for 4x⁴-16x²+9=0 ​ is x= ±  (9-√45) /4 or  x= ±  (9+√45) /4

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Answer:

2.95, 2.25 and 2.016

Step-by-step explanation:

The prices for jeans and shirts are $6 and $6

Given that:

3 pairs of jeans and 7 shirts for $60.

And 2 pairs of jeans and 3 shirts for $30.

Let jeans be x

Let shirts be y

3x + 7y = 60.... eq 1

2x + 3y = 30...... eq 2

Let us make x the subject formula from equation 2

2x = 30-3y

x= (30-3y)/2..... eq 3

Put the value of x into equation 1

3 * (30-3y)/2 + 7y = 60

(90- 9y)/2 + 7y = 60

45 - 4.5y + 7y = 60

2.5y =15

y = 6

Then, put the value of y into eq 3

x= (30-3(6))/2

x= 15 - 9

x= 6

Hence, we can see that the values of x and y are 6 apiece.

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Answer:

yeah it's correct , very much well

Explanation:

This equation represents a line, so there are many points that are solutions to the equation. To fill in this boxes we just have to pick a x-value that's in the domain, replace it into the equation and solve for y. The domain of this function is all real numbers, so any number will work.

Using x = 1:

Answers:

A solution is (-24) = 8( 1 ) - 32

Answer:

What the anyways uhhh

Step-by-step explanation:

49.76

Answer:

49.76

Step-by-step explanation:

You just add lol.

Look at screenshot below:  

Answer: 5

Step-by-step explanation:

3x + 2 = 17

subtract 2 on both sides

3x + 2 - 2 = 17 - 2 > 3x + 15

Divide both sides by 3

\(\frac{3x}{3} = \frac{15}{3}\)  = x=5

x = 5

Answer:

1/52

Explanation:

Answer:

The translation would be

X = 40% + 5 + A

Step-by-step explanation:

First, translate the words, is, more than and 'the number'.

Is means equals (=).

More Than means plus (+).

'the number' can be x.

Now, put it together.

X(The Number) =(Is) 40% +(more than) 5 +(more than) A(a number)

I hope this helps!!

The expression of the number that is 40% more than five more than a number A will be mathematically given as 40% + 5 + A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The concept of algebraic expressions is the use of symbols or alphabets to represent numbers by providing their precise values.

Translate the following into an algebraic expression:

The number that is 40% more than five more than a number A.

Then the expression will be,

⇒ 40% + 5 + A

The expression of the number that is 40% more than five more than a number A will be 40% + 5 + A.

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Answer:

£700 000

Step-by-step explanation:

The value £749 000 is the value with 7% increase

That is 100% + 7% = 107%

To find the original value , that is 100%

Divide by 107 to find 1% and multiply by 100

\(\frac{749000}{107}\) × 100 = £700 000