What is the equation of the graph below in standard form?

The quadratic function f(x) = x² has the smallest x-intercept value in comparison with the linear function f(x) = 3 · x - 9, which is located at x = 0.

x-intercept is the point of a function that goes through the x-axis. Quadratic functions have at most two x-intercepts and linear functions have always one x-intercept.

In both expressions those intercepts are found by solving expression for x when y is equal to zero. In this question we must determine the smallest x-intercept value from one of the two polynomic functions:

a) f(x) = 3 · x - 9

3 · x - 9 = 0

x = 3

b) f(x) = x²

x² = 0

x = 0

The quadratic function f(x) = x² has the smallest x-intercept value in comparison with the linear function f(x) = 3 · x - 9, which is located at x = 0.

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The customer will pay $32.25 for 9 pounds of blueberries with the coupon

At $3.75 per pound, 9 pounds of blueberries would cost $33.75 without the coupon. However, the customer has a coupon for $1.50 off the total cost of the blueberries. So, the customer can subtract $1.50 from the total cost, bringing it down to $32.25. Therefore, the customer will pay $32.25 for 9 pounds of blueberries with the coupon.

It's important to note that the price per pound of blueberries may vary at different grocery stores or at different times of the year. Additionally, coupons and discounts may have expiration dates or other terms and conditions that should be reviewed before use. When shopping, it's always a good idea to compare prices and use coupons and discounts to get the best possible deal

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Answer:

x=6

Step-by-step explanation:

Step 1: Subtract 4x from both sides.

5x−3−4x=4x+3−4x

x−3=3

Step 2: Add 3 to both sides.

x−3+3=3+3

x=6

Answer:

B.

Step-by-step explanation:

5x-3+3=4x+3+3

5x=4x+6

5x-4x=4x+6-4x

x=6

The  proportion of initial sales were spent on marketing by small businesses  is between 5 and 10%.

The correct option is A.

The U.S. Small Business Administration estimates that small businesses typically want to spend between 7-8% of one‘s revenue on marketing, provided that their companies have profit margins of 10-12%.

In order for sales to know exactly where the buyers are and assist them in progressing toward a purchase, marketing can give sales representatives the opportunity to be as knowledgeable as the buyers themselves. In summary, marketing can actually improve sales representatives' performance, which can have an effect on revenue generation.

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I understand that the question you are looking for is:

In one study, small businesses starting out spent what percentage of sales on marketing?

A) 5 to 10%

B) 8 to 15%

C) 15 to 19%

D) 25 to 32%

Since the x-intercepts are the points where the fruit or vegetable hits the ground, their y-coordinates are 0. We can find the x-coordinate of the second x-intercept by using the fact that the path of the fruit or vegetable is a parabolic curve.

If we assume that the launch point of the fruit or vegetable is at (a, b), where a is the horizontal distance it travels and b is the initial height, then the equation of the parabolic path can be written as:

y = ax^2 + bx

To find the second x-intercept, we need to solve for x when y = 0. Thus, we have:

0 = ax^2 + bx

Factoring out x, we get:

0 = x(ax + b)

Since the x-coordinate of the first x-intercept is 0, we know that a is not equal to 0. Therefore, the only way for the equation to be true is if x = 0 or ax + b = 0. We already know that x = 0 corresponds to the first x-intercept, so we solve ax + b = 0 for x:

ax + b = 0

x = -b/a

Therefore, the x-coordinate of the second x-intercept is -b/a.

The initial height b is not given in the problem, so we cannot determine the exact coordinates of the second x-intercept.

When changing a number in another base to base 10, the first step is to (e) divide the number by its base.

A base is a group of digits that are used to represent numbers in mathematics. As the base, different number systems employ various digit combinations. Examples include the binary number system, which only employs the digits 0 and 1, the octal number system, which uses the digits 0 to 7, and so on. The base-10 decimal system, which employs digits 0 to 9 to write numbers, is the most widely used number system in use today.

It is possible to translate any real number n into another base number system.

The first step to be carried out to find the base of another base to base 10 is (e) divide the number by its base.

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Answer:

non the avibe

Step-by-step explanation:

xu x6y8z9vtgkxih 174374t6fivH tin s6d

Answer:

1,3, and 4

Step-by-step explanation:

In this situation, the teacher could use a hypothesis test for a population means to determine if the computer-based instruction led to a statistically significant improvement in the student's test scores. The population in this case would be the entire class of students, and the mean would represent the average difference in test scores between the pretest and posttest.

The teacher can use a hypothesis test for a population means in the following situation:

1. Determine the population: The teacher's population consists of all the students who participated in the experiment.

2. Calculate the mean pretest score: The teacher will compute the average score of all the students' pretest results.

3. Implement computer-based instruction: The teacher teaches a lesson using a computer program.

4. Conduct a posttest: After the lesson, the teacher administers a posttest to each student.

5. Calculate the mean post-test score: The teacher will compute the average score of all the students' post-test results.

6. Formulate a null hypothesis: The null hypothesis states that there is no significant difference between the pretest and posttest mean scores. In other words, computer-based instruction did not have a significant impact on the students' performance.

7. Conduct a hypothesis test for a population mean: The teacher will use a statistical test, such as a t-test, to compare the pretest and posttest mean scores. This test will determine whether there is a significant difference between the two means that suggests the computer-based instruction had a positive effect on the student's performance.

8. Interpret the results: If the hypothesis test shows a significant difference between the pretest and posttest mean scores, the teacher can conclude that the computer-based instruction likely had a positive impact on the students' learning. Otherwise, the null hypothesis cannot be rejected, and the teacher may need to explore other instructional methods or factors that could have influenced the results.

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The value is 24 square units is parallel to the face of the right rectangular prism.

We can see that the face of the given rectangular prism shows a width 4 and a height of 6. If we cut the figure at any point along the length 20, such that the cross-section is parallel to the face, the cross-section, which occurs at x length, will always have the same dimensions, which are 4 and 6.

So the area of the cross-section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

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A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

The distance between the point P and the line ℓ is 24 / √(74) units.

To find the distance between a point P and a line ℓ, we need to use the coordinates of both the point and the line. In this case, we have the coordinates of the point P, which is (−1, 1), and two points on the line ℓ, which are (11, −1) and (−3, −11).

The first step is to find the equation of the line ℓ. We can use the two points on the line to find the slope of the line, which is:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points on the line. Substituting the given coordinates, we get:

m = (-11 - (-1)) / (-3 - 11) = -10 / (-14) = 5 / 7

Now we can use the point-slope form of the equation of a line to find the equation of line ℓ:

y - y₁ = m(x - x₁)

where (x₁, y₁) is any point on the line. We can choose either of the given points, let's choose (11, −1):

y - (-1) = (5 / 7)(x - 11)

Simplifying this equation, we get:

y = (5 / 7)x - 36 / 7

So, the equation of line ℓ is y = (5 / 7)x - 36 / 7.

Now we can use the formula for the distance between a point and a line:

distance = |ax + by + c| / √(a² + b²)

where a, b, and c are the coefficients of the equation of the line, and x and y are the coordinates of the point. In this case, the coefficients of the equation of line ℓ are a = 5 / 7, b = -1, and c = -36 / 7. Substituting the coordinates of the point P, we get:

distance = |(5 / 7)(-1) - 1 + (-36 / 7)| / √((5 / 7)² + (-1)²)

Simplifying this equation, we get:

distance = 24 / √(74)

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Answer: They are equal

Step-by-step explanation:

Y+5=7 subtract 5 from both sides

Y=2

5Y=10 divide both sides by 5

Y=2

Answer:

Step-by-step explanation:

Anything raised to the power of 0 equals 1, so we have 1 raised to the power of -3. That's the same thing as

\(\frac{1}{1^3}\) which is just 1. The answer is 1.

Answer:

8/15

Step-by-step explanation:

hope this helps!!! :D

Answer: 8/15

Step-by-step explanation: Tangent is opposite/adjacent

The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.

For the future, remember these:

Sin = opposite/hypotenuse

Cos = adjacent/hypotenuse

Tan = opposite/adjacent

Therefore, tan is 8/15.

Hope this helps.

(i) 6 litres = 6000 cm³

(ii) The rate at which the water is now flowing from the tap is 50cm³/second

From the question, we are to convert the given value in litres to cm³

(i) We are to determine the value of 6 litres in cm³

NOTE: 1 litre = 1000 cm³

Thus,

6 litres = 6 × 1000cm³

= 6000 cm³

(ii)

From the given information,

It takes 60 seconds to fill a 6 litre watering can from the tap

That is,

At a rate of 6000 cm³ per 60 seconds

Now,

The rate at which water flows from the tap is halved

Then,

The new rate will be

6000/2 cm³ per 60 seconds

= 3000 cm³ per 60 seconds

Thus,

The new rate is 3000/60 cm³/second

= 50 cm³/second

= 50cm³/second

Hence, the rate at which the water is now flowing from the tap is 50cm³/second

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Answer:

130 ; 50% ; 25%

Step-by-step explanation:

Using te boxplot to answer the underlying questions :

Number of employees who spend $10 or less corresponds to the lower quartile, which is up to 25% of the distribution :

Total number of employees = 520

Number of employees who spend $10 or less = 25% of 520 = 0.25 * 520 = 130 employees.

Percentage of employees who spend from $10 to $45 = Interquartile range

$10 corresponds to lower quartile = 25%

$45 corresponds to upper quartile = 75%

IQR  = 75% - 25% = 50%

Percentage who spend $45 or more

$45 corresponds to the upper QUARTILE (Q3) :

45 or more = 100% - Q3 = 100% - 75% = 25%

The claim that the population mean is less than 125 (Option E) would

the interval tends to refute.

The 90% confidence interval for the population mean is 135 to 160. This means that if we were to repeat the process of taking samples from the same population and constructing a 90% confidence interval, we would expect 90% of the intervals to contain the true population mean.

With this in mind, let's consider each claim:

A. The interval does not rule out the possibility that the population mean is more than 110, as 110 is less than the lower bound of the interval.

B. The interval does not rule out the possibility that the population mean is less than 150, as 150 is greater than the upper bound of the interval.

C. The interval does not rule out the possibility that the population mean is between 140 and 150, as both of these values fall within the interval.

D. The interval does not rule out the possibility that the population mean is more than 140, as 140 is less than the upper bound of the interval.

E. The interval refutes the claim that the population mean is less than 125, as 125 is less than the lower bound of the interval.

Therefore, the answer is (E) The population mean is less than than 125.

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Answer:

2.50x + 1.25y ≤ 30

x + y ≥ 14

x ≤ 10 and y ≤ 24

Step-by-step explanation:

we can by elimination if we multiply the second inequality by -2.5, we get:

-2.50x - 2.5y ≥ -35

if we add the first inequality to the above we get:

   2.50x + 1.25y ≤ 30

+  -2.50x - 2.5y ≥ -35

-1.25y = -5

divide each side by -1.25 to get:

y = 4

therefore, x = 10

if you graph each system you must look for the area where the shading of each inequality overlaps

upon graphing, the solution is x ≥ 10 and y ≤ 24

Step-by-step explanation:

30 days period multiply by 7 days

=210 therefore our answer is =210

0.5x - 0.75 _> 3.25

Add 0.75 to both sides:

0.5x _> 4

Divide both sides by 0.5:

x _> 4/0.5

x_> 8

The answer is d.

The marginal revenue in the interval between six and seven jet skis is $300.

Here we are given that total revenue from six jet skis is $2,400

and total revenue from seven jet skis is $2,700

Now, marginal revenue is defined as the revenue gained or lost by producing one more additional unit of a good.

Here, the total revenue increases from $2,400 to $2,700 as we go from producing 6 jet skis to 7 jet skis.

Thus, the change in total revenue will be-

2700 - 2400

= 300

This means that the gain in revenue is $300.

Thus, the marginal revenue in the interval between six and seven jet skis is $300.

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Answer:

91 x

Step-by-step explanation:

The answer to this problem is dependent on the probability of each event separately. Since we don't have any given information on the likelihood of visiting Amazon or Pinterest, we'll have to make an educated guess. Let's assume that the probability of visiting Amazon is 60%, and the probability of visiting Pinterest is 50%.

We may calculate the probability of visiting both Amazon and Pinterest as independent events using the formula:

P(A ∩ B) = P(A) * P(B)

where, P(A) = probability of visiting Amazon

P(B) = probability of visiting Pinterest

Using our assumed probabilities, we have:

P(A) = 0.6P(B) = 0.5P(A ∩ B) = P(A) * P(B)= 0.6 * 0.5= 0.3

We expect the probability of visiting both Amazon and Pinterest to be 0.3. Therefore, if Amazon and Pinterest were independent events, there would be a 30% chance of visiting both Amazon and Pinterest when visiting either one.

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The capacity of fish tank in quarts is 246.

Therefore the answer is 246.

A pint is a unit of volume in the US customary system of measurement and is equal to 16 fluid ounces. A quart is also a unit of volume in the US customary system of measurement and is equal to 32 fluid ounces or 2 pints.

There are 2 pints in 1 quart, so to convert from pints to quarts, we need to divide by 2.

The capacity of the fish tank in pints is 492.

Therefore, the capacity of the fish tank in quarts is

= 492 pints / 2 pints per quart

= 246 quarts

So, the capacity of the tank in quarts is 246 quarts.

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Answer:

C

Step-by-step explanation:

all four numbers in c do not have any other factors other than 1 and itself. All quotients of the number are not whole numbers.

Answer:

y=16

Step-by-step explanation:

Notice that the first equation was multiplied by 4, so you have to multiply the result by 4 to keep it as a true equation

Answer:

y=.5x+2.5 OR \(y=\frac{1}{2}x +\frac{5}{2}\) (both are right)

Step-by-step explanation:

Distribute the 1/2

y-3=.5x-.5

add 3

y=.5x+2.5 OR \(y=\frac{1}{2}x +\frac{5}{2}\) if you're into fractions

\(\frac{5}{3}\)The point on the number line to plot the point which is opposite \(\frac{5}{3}\) is \(\frac{-5}{3}\)

A number line is a horizontal representation of a number of parts with equal intervals.

What exactly is a number line?

A number line is a horizontal line with evenly spaced numerical increments. It shows how to answer plotted the number on the line.

If two numbers are the same distance from 0 and on opposite sides of the number line, they are opposites.

For example, 4 is the inverse of -4, and -4 is the inverse of 4. They are both equal distances from zero.

Given: number is \(\frac{5}{3}\)

The opposite of 5/3 is the additive inverse let x be the additive inverse

\(\frac{5}{3}\) + x = 0

x = 0 - \(\frac{5}{3}\)

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

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