which of following graphs a direct variation

Answer:

3(x+3)(3x+x 2 +5)

Step-by-step explanation:

 hope it helps

Answer:

5x^4+18x^3+33x^2+12x−5

The probability that exactly one of their children will have green eyes is 0.234.

Chance is represented by probability. The study of the occurrence of random events is the subject of this mathematical subfield. The value is expressed as a number from 0 to 1.

The probability of having exactly one child with green eyes can be calculated using the binomial distribution:

Let X be the number of children with green eyes.

P(X = 1) = (2 choose 1) * 0.75 * 0.125 = 0.234

Therefore, the probability that exactly one of their children will have green eyes is 0.234.

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The remaining value will increase by the value of the slope. Hence the remaining missing values are -47, -44, -41, -38 and -35

The slope of a line is the ratio of the rise to run of a line. It is also defined as the rate of change of coordinate y with respect to x. Mathematically;

slope = change in y/change in x

If the slope of the table given is 3, then using the coordinate points (5, -50)and (6, y)

Substitute

3 = y-(-50)/6-5
3 = y+50/1
y+50 = 3

y = -47

The remaining value will increase by the value of the slope. Hence the remaining missing values are -44, -41, -38 and -35

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a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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Answer:

Each piece is 1.12 meters long

Step-by-step explanation:

7 equal pieces = divide x by 7

equation: 7.84 / 7

Answer:

the answer is b . (2, 4) U (4, 10)

As per the given measurement, you would need to burn an extra 500 calories every day in order to lose 9 pounds in 63 days, assuming that the rest of your diet remains constant.

We know that in order to lose 1 pound of body weight, you need to burn an extra 3500 calories. Therefore, to lose 9 pounds, you would need to burn an extra 31,500 calories

=> (9 pounds x 3500 calories per pound).

If you divide this number by the number of days in which you want to achieve this goal, you'll find the amount of calories you need to burn each day. In this case, it would be:

31,500 calories / 63 days = 500 calories per day

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Answer:

3

Step-by-step explanation:

Water cycle involves all processes in which water circulates

The water cycle labeled C is precipitation

From the figure, we can see that the step C represents water falling down from the sky to the earth surface.

This can represent rain, sleet, or snow.

Any of the above forms represent precipitation

Hence, the water cycle labeled C is precipitation

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Answer: If Ken brought 8 liters of water for everyone to share and they drank 5 liters of it, then the remaining amount of water they have is 8 - 5 = 3 liters.

Step-by-step explanation:

Answer:

x = {-8 - √10, -8 + √10}     exact answer

x = {-11.16, -4.84}     decimal approximation

Step-by-step explanation:

2(x + 8)²+ 9 = 29

Subtract 9 from both sides

2(x + 8)² = 20

Divide both sides by 2

(x + 8)² = 10

Take the square root of both sides

x + 8 = ±√10

Subtract 8 from both sides

x = -8 ± √10

x = {-8 - √10, -8 + √10}     exact answer

x = {-11.16, -4.84}     decimal approximation

Answer:

x = 6°

y = 15°

Step-by-step explanation:

90 + 6y = 180 (linear pair, supplementary)

6y = 90 (180 - 90)

y = 15°

6y and 5x + 60 are corresponding angles. Corresponding angles are equal

Hence:

6y = 5x + 60

Sub y = 15° into equation

90 = 5x + 60

90 - 60 = 5x

5x = 30

x = 6°

The correct choice is A. The critical point(s) occur(s) at x= 5/8.

The function f(x)=4x² −5x+3 is given.

We are to find the critical points of the given function. Now, let's solve the problem:

Solving:

Let f(x) = 4x² −5x+3 => f'(x) = 8x − 5

Equating f'(x) = 0, we get

8x − 5 = 0⇒ 8x = 5⇒ x = 5/8

Thus, the critical points occur at x = 5/8.

Therefore, the correct choice is A. The critical point(s) occur(s) at x= 5/8.

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Answer: i think yes

Step-by-step explanation:

x/2 = -0.73

To solve for x multiply both sides by 2:

x = -1.46

The symbols, in accordance with the provided assertion, are 27 ÷ 3 + 5 × 2 = 19

A object must imply a meaning that is distinct from its true definition in order to be referred to as a symbol; a symbol is a thing that transcends class or type. A emblem might signify several different things.

The triple bar, also known as the tribar, or, is a sign that denotes the equality of two distinct objects and has a variety of context-dependent meanings. Logic and arithmetic are its two primary applications. It looks like a third line attached to an equals symbol (=).

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The mean of a binomial random variable with n = 10 and p = 0.4 is 4, which represents the average number of successes in the given number of trials. the correct answer is option a. 4.

To find the mean of a binomial random variable, we multiply the number of trials (n) by the probability of success (p). In this case, we have n = 10 and p = 0.4.

The mean (μ) of a binomial random variable is given by the formula:

μ = n * p

Substituting the given values, we have:

μ = 10 * 0.4

Calculating this, we get:

μ = 4

Therefore, the mean of this binomial random variable is 4.

The mean represents the average number of successes in a binomial distribution. In this case, we have 10 trials with a probability of success of 0.4. So, on average, we can expect to have 4 successes.

To understand this intuitively, let's consider an example. Suppose we have 10 fair coins, and we flip each coin independently. The probability of getting a head (success) on each flip is 0.4.

The mean of 4 means that, on average, we would expect to get approximately 4 heads out of the 10 flips. This is because the probability of success (getting a head) is 0.4, and we have 10 trials (coin flips) in total. Therefore, The correct answer is option a. 4.

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If one of the longer sides of the Isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

Let's solve the problem step by step:

1. Identify the given information:

  - The triangle is isosceles, meaning it has two equal sides.

  - The two equal sides, labeled "a," are longer than the base, labeled "b."

  - The perimeter of the triangle is 15.7 centimeters.

  - One of the longer sides is 6.3 centimeters.

2. Set up the equation based on the given information:

  Since the triangle is isosceles, the sum of the lengths of the two equal sides is twice the length of the base. Therefore, we can write the equation:

  2a + b = 15.7

3. Substitute the known value into the equation:

  One of the longer sides is given as 6.3 centimeters, so we can substitute it into the equation:

  2(6.3) + b = 15.7

4. Simplify and solve the equation:

  12.6 + b = 15.7

  Subtract 12.6 from both sides:

  b = 15.7 - 12.6

  b = 3.1

5. Interpret the result:

  The length of the base, labeled "b," is found to be 3.1 centimeters.

Therefore, if one of the longer sides of the isosceles triangle is 6.3 centimeters, the length of the base is 3.1 centimeters.

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The maximum that the company can expect for returned items is C. $5972.65

From the information, the average daily profit of an electronics store is $31,435 and the company estimates that 15% is lost each day to returns, with a margin of error of ±4%.

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings. Simply said, you may determine the degree of unpredictability in data and research results using the margin of error.

The maximum the company can expect for returned items will be:

= (15% + 4%) × Profit

= 19% × $31,435

= 0.19 × $31,435

= $5972.65

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Answer:

A

Step-by-step explanation:

to find the y- intercept let x = 0 in the equation and solve for y

y = 5(0)² - 17(0) - 12 = 5(0) - 0 - 12 = 0 - 12 = - 12

then the y- intercept is (0, - 12 )

Answer:

\(\huge\boxed{\sf (0,-12)}\)

Step-by-step explanation:

\(y=5x^2-17x-12\)

y-intercept is the point where x = 0

Put x = 0 in the above equation.

\(y=5(0)^2-17(0)-12\\\\y = 0-0-12\\\\y=-12\)

So, y = -12, when x = 0.

Ordered pair = (x,y) = (0,-12)

\(\rule[225]{225}{2}\)

Option A is correct i.e., Regression with class performance as the dependent variable would be the most beneficial statistical procedure for identifying key factors in a student's success in statistics class.

Using this strategy, you may pinpoint the crucial independent factors that are most closely linked to academic achievement and gauge the degree and direction of those associations.

Contrarily, using the success in statistics class as an independent variable would prevent you from identifying the additional factors that affect class success, while confidence intervals and hypothesis testing would not reveal information on the particular independent variables that are most crucial.

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Answer:

Step-by-step explanation:

To solve this problem you have to complete the square. To do that, set the quadratic equal to 0, then move the constant over to the other side. That's 2 steps in one, but they're simple ones:

\(-5t^2+10t=-65\)

The first picky rule that completing the square has to follow is that the coefficient on the squared term has to be a 1. Ours is a -5, so we factor it out:

\(-5(t^2-2t)=-65\) . Now it gets even pickier. To create a perfect square binomial on the left, we take half the linear term, square it, and add it in to both sides. Our linear term is a -2. Half of -2 is -1, and -1 squared is 1, so we add 1 into the set of parenthesis. BUT the -5 out front is a multiplier and refuses to be ignored. To offset the addition of the 1 inside the parenthesis, we have to multiply it by the -5 out front to get -5:

\(-5(t^2-2t+1)=-65-5\)

The perfect square binomial on the left side and simplifying the right:

\(-5(t-1)^2=-70\) . Now we'll move the 70 over and set the quadratic back equal to y:

\(-5(t-1)^2+70=y\)

That's the quadratic in vertex form. The vertex here is (1, 70) which serves to answer 2 questions for us: the max height of the ball along with the time it was at that max height. For us, the ball reached a max height of 70 m after 1 second in its travels.

You could also do it the "calculus way" which is to find the derivative of the position function, which is

-10t + 10 = 0 and solve for t:

-10t = -10 so

t = 1. That's the time that the ball is at its highest point, and to find the highest point, sub that value in for t in the position function:

\(h(t)=-5(1)+10(1)+65\) which comes to 70 m. I'm not sure what class you're taking so I did both! Calculus is way easier.

0 ≤ x < 2, where x is an integer. Option C

The appropriate domain for the function f(x) = 42 - 15x in the given context can be determined by considering the constraints of the problem.

Tyson has a $50 gift card, and he wants to purchase a belt that costs $8 and x number of shirts that cost $15 each. The function f(x) represents the balance on the gift card after Tyson makes the purchases.

The number of shirts Tyson can purchase depends on the remaining balance on the gift card. Since each shirt costs $15, the maximum number of shirts he can buy is limited by the amount of money left on the gift card.

If we subtract the cost of the belt ($8) and the cost of x shirts ($15x) from the initial balance ($50), we should get a non-negative result, indicating that Tyson has enough money on the gift card to make the purchases.

Therefore, we can set up the inequality:

50 - 8 - 15x ≥ 0

Simplifying, we have:

42 - 15x ≥ 0

Now, we can solve for x:

-15x ≥ -42

Dividing by -15 (remembering to flip the inequality sign), we get:

x ≤ 42/15

x ≤ 2.8

Since x represents the number of shirts Tyson can buy, it should be a whole number. Therefore, the appropriate domain for the function f(x) is:

0 ≤ x ≤ 2, where x is an integer.

Option C.

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9514 1404 393

Answer:

  x = 1 or 5

Step-by-step explanation:

The notion of "cross-multiplying" is the idea that the numerator on the left is multiplied by the denominator on the right, and the numerator on the right is multiplied by the denominator on the left. This looks like ...

  \(\displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\ \longrightarrow\ (x-1)(3x-1)=(7)(2x-2)\)

Then the solution proceeds by eliminating parentheses, and solving the resulting quadratic equation.

  \(3x^2-4x+1=14x-14\\\\3x^2-18x+15=0\qquad\text{subtract $14x-14$}\\\\x^2-6x+5=0 \qquad\text{divide by 3}\\\\(x-1)(x-5)=0\qquad\text{factor}\\\\x\in\{1,5\}\)

_____

Comment on "cross multiply"

Like a lot of instructions in Algebra courses, the idea of "cross multiply" describes what the result looks like. It doesn't adequately describe how you get there. The one and only rule in solving Algebra problems is "whatever is done to one side of the equation must also be done to the other side of the equation." If you multiply one side by one thing and the other side by a different thing, you are violating this rule.

What looks like "cross multiply" is really "multiply by the product of the denominators and cancel like terms from numerator and denominator." Here's what that looks like with the intermediate steps added.

  \(\displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\\\\\frac{x-1}{7}\times7(3x-1)=\frac{2x-2}{3x-1}\times7(3x-1)\\\\(x-1)(3x-1)=(2x-2)(7)\qquad\textit{looks like}\text{ cross multiply}\)

The median of 14 is the most accurate to use since the data is skewed.

We have,

The median of 14 is the most accurate measure of center to use to represent the data.

This is because the data is skewed, with a cluster of values around 20, and only a few values in the lower ranges.

Using the mean would be heavily influenced by the few high values, which would make it appear as though the charity received more money than it actually did on average.

The median, on the other hand, is not as affected by extreme values and represents the value in the middle of the data set, which in this case is a better representation of the typical donation received by the charity.

Thus,

The median of 14 is the most accurate to use since the data is skewed.

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The value of x that satisfies the original equation is 7.

In the given equation, x + (-8) = 3x + 6, Sherry follows a series of steps to solve it. In step 1, she adds 1 negative x-tile to both sides to create zero pairs, resulting in -8 = 2x + 6.

Step 2 involves adding 8 positive unit tiles to both sides, again creating zero pairs and simplifying the equation to -8 + 8 = 2x + 6 + 8, which further simplifies to 0 = 2x + 14. In step 3, Sherry divides the 14 units evenly among the 2 x-tiles, leading to 0 = x + 7. Finally, in step 4, she identifies the solution as x = 7.

To explain this process further, Sherry uses algebraic manipulations to isolate the variable x. By performing the same operation on both sides of the equation, she ensures that the equation remains balanced.

In step 1, she cancels out one x on the left side by adding a negative x, and in step 2, she cancels out the constant term (-8) on the left side by adding its additive inverse, which is 8.

This allows her to simplify the equation and eliminate the constant term on the left side. In step 3, Sherry divides the coefficient of x, which is 2, by the constant term on the right side, which is 14, to isolate x.

Finally, she arrives at the solution x = 7 by recognizing that the remaining x term is equivalent to zero. Therefore, the value of x that satisfies the original equation is 7.

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The amount of feet of border that she needs to purchase is given as follows:

20 feet.

The perimeter of a square of side length s is given by the multiplication of four and the side length s, as follows:

P = 4s.

All the sides measure 5 feet, hence the parameter s is given as follows:

s = 5.

Then the perimeter of the square plot is given as follows:

P = 4 x 5

P = 20 feet.

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The medicine bottle has 120 doses of 100 miligram each.

As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000

Performing multiplication on Right Hand Side of the equation

Amount of medicine in bottle = 12000 milligrams.

Now, number of dose of 100 miligram medicine = 1

Amount of dose of 12000 miligram medicine = (1/100)×12000

Performing division and multiplication on Right Hand Side of the equation

Amount of doses in 12000 miligram medicine = 120

Thus, there are 120 doses in a medicine.

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Answer:

b must be because the therom is aas so

Answer:

B is answer

Step-by-step explanation:

just did it