What are the x-intercepts of the function f(x)=2x2−7x−4 ?

Step-by-step explanation:

x/3-2/5=2x/15-3x

5x-6=2x-9

5x-2x=-9+6

3x=-3

3x/3=-3/3

x=-1

The area of Habib's diagram when s = 1/2 is 7.

What is circle?

A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center. It can also be defined as the set of points that are a fixed distance (called the radius) away from the center point. The distance around the circle is called its circumference, and the distance across the circle passing through the center is called its diameter.

To find the area of Habib's diagram when s = 1/2, we just need to substitute s = 1/2 into the expression for the area:

Area = 6 + 4s²

Area = 6 + 4(1/2)²

Area = 6 + 4(1/4)

Area = 6 + 1

Area = 7

Therefore, the area of Habib's diagram when s = 1/2 is 7.

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Answer:

Real Zeros(roots):

x = 0.383270701869999 ≈ 0.38

x = 14.1834135032869 ≈ 14.18

Imaginary Zeros(roots):

x =

−1.78334210257844 − 1.52917185852188i

x = −1.78334210257844 + 1.52917185852188i

Step-by-step explanation:

Im trying to see if I can simplify these decimals.

Answer:

0.66667

Step-by-step explanation:

To find length values, multiply the base length by 3.281

If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect the interval to become wider.

A confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of confidence. A 95% confidence interval means that if we were to repeat the sampling and estimation process many times, we can expect the true population parameter to fall within the interval about 95% of the time.

If we change the confidence level from 95% to 99%, we are increasing the degree of confidence. This means that if we were to repeat the sampling and estimation process many times, we can expect the true population parameter to fall within the interval about 99% of the time.

But, to achieve this higher degree of confidence, we need to widen the interval. This is because as the degree of confidence increases, the interval needs to become wider to capture more possible values of the population parameter.

Therefore, if we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect the interval to become wider.

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Answer:

Scalene, isosceles,

Step-by-step explanation:

Given that ∠1 and ∠2 are supplementary, the measure of ∠1 is 79 degree.

Hence, option D)79° is the correct answer.

Supplementary angles refer to the pair of angles that sum up to 180 degree.

Given the data in the question;

Since ∠1 and ∠2 supplementary angles, they will  sum up to 180 degree.

∠1 + ∠2 = 180°

(2y + 9) + (3y - 4) = 180

Solve for y

2y + 9 + 3y - 4 = 180

5y + 5 = 180

5y = 180 - 5

5y = 175

y = 175/5

y = 35

Hence, the measure of ∠1 will be;

∠1 = 2y + 9

∠1 = 2(35) + 9

∠1 = 70 + 9

∠1 = 79°

Given that ∠1 and ∠2 are supplementary, the measure of ∠1 is 79 degree.

Hence, option D)79° is the correct answer.

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Answer:

f(3) = 10

Step-by-step explanation:

given f(x) = 12/x + 6,

we want to find f(3)

to do so we plug in x = 3

so,

==> f(3) = 12/3 + 6

==> f(3) = 4 + 6

==> f(3) = 10

The probability that at least one ball of each color is chosen is 105/8568.

Given that:-

Number of red balls in the urn = 5

Number of white balls in the urn = 6

Number of blue balls in the urn = 7

We have to find the probability that at least one ball of each color is chosen.

Let us consider the that 1 ball of each color has been chosen.

Hence, we are left with 4 red balls, 5 white balls and 6 blue balls.

Now we have to choose 2 balls from them.

Hence,

Number of ways in which we can choose 2 balls from (4+5+6) that is 15 balls = \(^{15}C_2=105\)

Total number of ways in which we can choose 5 balls from 18 balls =

\(^{18}C_5=8568\)

Hence,

Probability that at least one ball of each color is chosen = 105/8568

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Step-by-step explanation:

when you add integers remember that the positive integers move you to the right (so the integer will increase) and negative integers move you to the left (so the integer will decrease)

Hope this helps.

There are approximately over 60 million shipping containers in the world. Containers are stacked and arranged in these ports, creating an impressive sight and highlighting the scale of global trade.

Shipping containers are standardized metal boxes used for transporting goods by sea, rail, or road. They come in various sizes, including 20-foot and 40-foot lengths. These containers have revolutionized global trade, allowing for efficient and secure transportation of goods across long distances. While exact numbers are challenging to determine due to factors such as container movement and usage, estimates suggest that there are over 60 million shipping containers worldwide. This vast quantity of containers enables the global economy to function smoothly by facilitating the movement of goods between countries and continents.

The extensive use of shipping containers has led to the establishment of container ports and specialized container ships that can accommodate large numbers of containers.Moreover, repurposing shipping containers for alternative uses, such as modular homes or pop-up shops, has gained popularity in recent years, demonstrating the versatility and durability of these units.

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The correct answer is d. At most 19.  indicates the area to the left of 19.5 before a continuity correction is​ used

When a continuity correction is used, it means that we are approximating a discrete probability distribution with a continuous one. In this context, the continuity correction is typically applied when approximating a discrete random variable with a continuous normal distribution.

In this case, we are looking for the area to the left of 19.5 before applying the continuity correction. The continuity correction adjusts for the discrepancy between the continuous approximation and the discrete values. Since the continuity correction involves adjusting the boundaries, we consider the area up to but not including the value 19.5.

Therefore, the statement "At most 19" indicates that we are considering the area up to and including the value 19, without including 19.5, before the continuity correction is applied.

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Using the concepts of standard normal distribution,43 people height is in between 160 and 180 and 31 people height is taller than 165cm

The standard normal distribution is actually  of the forms of the normal distribution. It occurs when  normal random variable has a mean equal to zero and a standard deviation equal to one. Or a normal distribution with a mean 0 and standard deviation of 1 is known as the standard normal distribution. Also, the standard normal distribution is concentrated at zero, and the standard deviation gives the degree to which a given measurement deviates from the mean.

Now, we find the Z score of the given heights range

We know that Z score is given by formula

Z=(\(\frac{X-\alpha }{\beta }\))

where X is normal random variable,\(\alpha\) is mean of given sample and \(\beta\) is standard deviation of given sample.

Therefore, Z score is

z(160) = (170-160)/5 = 2

z(180) = (180-170)/5 = 2

P(160<= x <=180) = P(2<= z <=2) = 0.4772(from standard distribution table)

Therefore for 90 people=90×0.4772= 43 people after rounded up.

b) Similarly, we need to find Z value for people height greater than 165 cm.

Therefore, by using the above formula, we get

z(165) = (170-165)/5 = 1

P(x > 165) = P(z > 1) = 0.3438(from standard distribution table)

Therefore, for 90 people=0.3438×90=31 after rounded up

Hence, number of people whose height is in between 160 and 180cm is 43 and number of people whose height greater than 165cm is 31

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Answer:

x = 9

Step-by-step explanation:

Given

2(x + 5) = 3x + 1 ← distribute left side

2x + 10 = 3x + 1 ( subtract 2x from both sides )

10 = x + 1 ( subtract 1 from both sides )

9 = x

Answer:

43,624 mm cubed

Volume of Prisms Equation:

V=(Areabase)(height)

Volume of Triangular Prisms:

V=(1/2×base×height)(HEIGHT OF PRISM)

Step by Step Explanation:

V=(1/2×38×28)(82)

Cancelling:

cancel 2 and 28 making it 1 and 14

since the fraction is now 1/1 it is not needed

Back to Solving:

=38×14×82

=43,624 mm cubed

Answer: answer:   n ≤ -3 or n < -5

step-by-step explanation:

-5 + 2n ≥ -11 +5+5

2n ≥ -6 2/2 ≤ -6/2

n ≤ -3 -6 - 10n > 44

+6 +6-10n > 50 -10/-10 50/-10

n < -5

x/3-10=8

x/3=18

x=48

Answer: 50 degrees

Step-by-step explanation:

Answer:

(4,-2) is the answer to that equation.

Answer:

(-4,0)

Step-by-step explanation:

solve for the first variable in one of the equations,then substitute the result into the other equation

Let us begin by defining arc measure

Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc.

From the given diagram, we can determine that:

measure of arc DC = 100 degrees

Answer: 100 degrees

f(x) ≥ 0 over the interval [-1,1]. This can be solved by using the concept of function.

Local maxima are the points in the interval where the values of the function are always fewer than the values of the function at those points. Local minima, on the other hand, are locations where the function's values around that point are higher than its value there.

At the point when the graph of the function y = f(x) shifts from growing to decreasing, there is a local maximum. The slope of the tangent is 0 at this location. At the point when the graph switches from dropping to growing, there is a local minimum.

The ordered pairs of the given function in table are (-3,15), (-2,-5), (-1,0), (0,5), and (1,0).

It is clear from the values of f(x) with respect to x, that the function reaches zero at x = -1, then goes up to 5 at x = 0 and then again reaches zero at

x = 1.

Hence, the value of f(x) remains positive within the interval of [-1,1].

Hence, we can write f(x) ≥ 0 over the interval [-1,1].

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Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.

The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.

In other words, it involves using sample data to make generalizations or predictions about a larger population.

Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.

It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.

This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.

These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.

The goal of inferential statistics is to provide insights into the larger population based on a representative sample.

It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.

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One problem with the arithmetic mean is that it is influenced by outliers. Because with the presence of outliers , the arithmetic mean will be pulled towards the outlier. So, the correct option is A) it is influenced by outliers.

The arithmetic mean is calculated by summing up all the observations in a dataset and dividing by the number of observations. While it is a commonly used measure of central tendency, it has some limitations. One of the main problems with the arithmetic mean is that it can be strongly influenced by outliers.

An outlier is an observation that is very different from the other observations in the dataset. When outliers are present, the arithmetic mean can be pulled towards the outlier and may not be a good representation of the typical value in the dataset.  So, the answer is A) it is influenced by outliers.

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Answer:

(x + 3)(2x + 5)

Step-by-step explanation:

Given

2x² + 6x + 5x + 15 ← grouping the terms

= (2x² + 6x) + (5x + 15) ← factor each group

= 2x(x + 3) + 5(x + 3) ← factor out (x + 3) from each term

= (x + 3)(2x + 5) ← in factored form

Answer:

EDG 2021

Step-by-step explanation:

Step 2: C. 2x

Step 3: B. 5

Step 4: C. x + 3

Step 5: A. (x + 3) (2x + 5)

Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

The purchase price in dollars of the television that has been marked up 25% of the retail price of $4,500 would be $5,625.

To find the purchase price of the television in dollars, follow these steps:

1. Determine the markup amount: 25% of the retail price ($4,500).
2. Subtract the markup amount from the retail price to find the purchase price.

Step 1: Calculate the markup amount:
25% of $4,500 = 0.25 × 4,500 = $1,125

Step 2: Subtract the markup amount from the retail price:
$4,500 (retail price) - $1,125 (markup) = $3,375

The purchase price of the television in dollars is $3,375.

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Answer:

Step-by-step explanation:

Area of a rectangle = Length * Width

Given the dimension

Length = 4x2 + 3x + 12

Width = 4x – 2

A) Area =  (4x^2 + 3x + 12)(4x – 2)

Open the parenthesis

= 16x^3-8x^2+12x^2-6x+48x-24

Area of land in Mathville = 16x^3+4x^2+42x-24

For the land in Algebratown

Area =  (5x^2 + x – 4)(2x + 1)

Area = 10x^3+5x^2+2x^2+x-8x-4

Area  = 10x^3+7x^2-7x-4

B) difference between the area of Mathville and the area of Algebratown

= 16x^3+4x^2+42x-24 -(10x^3+7x^2-7x-4)

= 16x^3+4x^2+42x-24 -10x^3-7x^2+7x+4

collect like terms

= 16x^3-10x^3+4x^2-7x^2+42x+7x-24+4

= 6x^3-3x^2+49x-20

C) The difference if x = 9

Substitute x = 9 into the resulting function

A(x) = 6x^3-3x^2+49x-20

A(9) = 6(9)^3-3(9)^2+49(9)-20

A(9) = 2187-243+441-20

A(9) = 2,365

Hence the difference of the areas if x = 9 is 2,365

The linear equation that passes through the two given points is:

x = 2.

A general linear equation can be written in the slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we have the points  (2, -3) and (2, 6), then the slope is:

a = (6 + 3)/(2 -2 )

There we have a division by zero, which means that our line will be a vertical line of the form:

x= a

And becausein both of our points the x-value is 2, we conclude that the line is:

x = 2.

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Answer:

25.5 mi

Step-by-step explanation:

12 22.5  X

Let X be the shortest distance we are trying to find.

a units 2 b units 2 c units 2

12 units 2 + (22.5)=c units 2

144+506.25=c units 2

650.25=c units 2

\(\sqrt{x} 650.25\)=c units 2

25.5

Answer:

\( \sqrt[4]{2} \)

Step-by-step explanation:

I hope I answer your question