A student performed the following steps to find the solution to the equationx² + 4x -12=0 Where did the student go wrong?Step 1. Factor the polynomial into (x+6) and (x-2)Step 2. X-6 = 0 and x + 2 = 0Step 3. x = 6 and x = -2A. in Step 2B. in Step 1C. in Step 3D. The student did not make any mistakes, the solution is correct

Answer:

1 2/13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Expression => | -2 |

Equation => 6 - 1 = 2 + 3

Inequality => 8^m > 64

Answers:

Expression is \(|-2|\)

Equation is \(6-1 = 2+3\)

Inequality is \(8^m > 64\)

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Explanation:

If it has an equal sign, then it's an equation.

If it has an inequality sign of one of the following \(< , \ > , \ \le, \ \ge\), then it's an inequality.

Otherwise, it's an expression.

The equation that has infinitely many solutions in the options is 21 + 2.5w = 6 +5.7w - 3.2w + 15

An equation with infinitely many solutions essentially have same thing on both sides.

Generally, a linear equation has infinitely many solution when the equations are equivalent. Let take for example:

The equation above have infinitely many solution because there is no actual value of y.

Therefore,

2y + 2 = 2y + 2

2 = 2

We can see both sides are equal to each other. So, this is an infinitely many solution.

Therefore, 21 + 2.5w = 6 +5.7w - 3.2w + 15 has an infinitely many solution.

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Answer:

<

Step-by-step explanation:

Bc this is the bigger sign

Answer:

use ≤ at most

Step-by-step explanation:

hope it helps

Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Answer:

Step-by-step explanation:

Do it your self

Answer:

1.05%

Step-by-step explanation:

Answer:

0.07

Step-by-step explanation:

$427 000 + $671 000 + $305 000 = $1 403 000

Profit= $1 897 500 - $1 403 000 = $494 000

The number of 100 dollar bills in one billion dollars  is 10 million hundreds or 70,900 hundred dollar bills.

To find the number of 100 dollar bills in one billion dollars, we can use the following steps:

First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,

we can divide one billion by 100 to get the number of hundreds

\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)

So one billion dollars is equal to 10 million hundreds.

Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)

The volume of one hundred dollar bill is approximately 0.00709 cubic inches.

Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)

Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.

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After answering the presented question, we can conclude that As a triangle result, the figure has a surface area of 24.5 square millimeters.

Because it has four or more pieces, a triangle is a polygon. It has a straightforward rectangular shape. A triangle ABC is a rectangle with A, B, and C edges. Euclidean geometry provides a single plane and cube when the sides are not collinear. A polygon is a triangle with three components and three angles. The corners of a triangle are the spots where the three edges meet. A triangle's sides add up to 180 degrees.

To calculate the area of the figure, we must first calculate the areas of each shape and then add them together.

c² = a² + b²5² = 4

_g² +b²25 = 16+ b²_9_ = 3

As a result, the base of the second triangle is 3mm. We can now pinpoint its location:

A = 1/2 * 3mm * 3mm * 3mm = 4.5mm2

A is equal to (5mm + 5mm) * 4mm / 2 = 20mm2.

We can now add the regions of all three shapes:

Total surface area = 4.5mm2 + 20mm2 = 24.5mm2

As a result, the figure has a surface area of 24.5 square millimeters.

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Answer:

t=5.6

Step-by-step explanation:

The given equation is d=rt.

WE are also given other information such as the distance (d) and the rate (r)

d=252 and r=45

So, we can plug this into the equation:

252=45t

Now, we divide 45 from both sides to find t.

252/45=t

t=5.6

Answer:

444 = 400

372 = 400

847 = 900

Step-by-step explanation:

Area of ENTIRE circle = pi r^2 = pi (18)^2 = 1017.876 cm^2

the shaded area is   221 out of 360    ( 360 is the ENTIRE circle area)

221 / 360   * area =   221/ 360 * 1017.876  = 624.8 = ~ 625 cm^2

Answer:step 2

Step-by-step explanation:

The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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Considering the polynomial f(x) = x^4  - 16x³ + 70x² + 48x - 219, we have that:

a) The zeros are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.

b) The linear factors are: (x + 1.995)(x - 1.995)(x - 8 + 3i)(x - 8 - 3i).

c) The solutions to f(x) = 0 are: x = -1.995, x = 1.995, x = 8 - 3i, x = 8 + 3i.

The given zero of the polynomial is:

8 + 3i

Hence it's conjugate is also a zero, that is:

8 - 3i.

Thus the first two factors are given as follows:

(x - 8 - 3i)(x - 8 + 3i) = x² - 16x + 64 + 9i² = x² - 16x + 55.

Then the polynomial can be written as follows:

x^4  - 16x³ + 70x² + 48x - 219 = (ax² + bx + c)(x² - 16x + 55).

As a fourth order polynomial can be the product of two second order polynomials. Applying the distributive property to the right side of the equality, we have that:

x^4  - 16x³ + 70x² + 48x - 219 = ax^4 + x³(b - 16a) + x²(55a + c - 16b) + x(55b - 16c) + 55c.

Then the coefficients are given as follows:

Hence the other two factors are given as follows:

x² - 3.98 = 0

x = ± sqrt(3.98)

x = ± 1.995.

The linear factors are:

(x - x')(x - x'')(x - x''')(x - x'''').

In which x', x'', x''' and x'''' are the roots.

The solutions to f(x) = 0 are the roots.

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Answer:

None

Step-by-step explanation:

Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.

Answer:

One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.

Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.

One way to construct a confidence interval for a proportion is to use the formula:

p ± z * sqrt(p * (1 - p) / n)

where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:

0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)

which simplifies to:

0.6 ± 0.22

or:

(0.38, 0.82)

This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.

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Answer: Well, everyone hide and they call the police to solve that kidnapping problem at school

Step-by-step explanation:

It is true that the hypothesis test for the population mean must be a one-tailed test having the rejection region in the lower tail, which is on the left hand of the sampling distribution.

A one-tailed test is basically a hypothesis test which help us to test whether the given sample mean would be higher or will be lower than the population mean. The rejection region is basically the area for which the null hypothesis is rejected.

When we perform a left tailed test for our hypothesis, that is the lower tail hypothesis, then the rejection region will lie in the left tail after the critical value and since in the given question, the mean wait for the services will be less than 15 minutes, we will have to perform a one-tailed rest which has a rejection region present in the lower left hand tail.

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The 85% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list is (0.28, 0.38).

Let's calculate the sample proportion;

Sample proportion = 93 / 283 = 0.33

The margin of error of the data can be calculated by;

Margin of error = Z * √(p(1-p) / n)

where:

Margin of error = 1.96 * sqrt(0.33 * (1-0.33) / 283) = 0.05

The confidence interval can be calculated as

Confidence interval = 0.33 ± 0.05 = (0.28, 0.38)

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Answer :48 km.

Explanation:

Let the speed of Belinda be x km/h. Then, the speed of Alice is (x + 2) km/h.

When they meet in 3 hours, the distance between the towns is given by:

Distance = speed * time Distance = (x + 2) * 3 + x * 3 Distance = 6x + 6

When they meet in 4 hours, with Belinda's speed reduced by 1 km/h and Alice's speed two-thirds of her previous speed, the distance between the towns is given by:

Distance = speed * time Distance = (x - 1) * 4 + (2/3)(x + 2) * 4 Distance = 4x - 4 + (8/3)x + (16/3) Distance = (20/3)x + (4/3)

Since the distance between the two towns is the same in both cases, we can set the two expressions for distance equal to each other:

6x + 6 = (20/3)x + (4/3)

Multiplying both sides by 3, we get:

18x + 18 = 20x + 4

Solving for x, we get:

x = 7

Therefore, the speed of Belinda is 7 km/h, and the speed of Alice is 9 km/h.

To find the distance between the two towns, we can use either of the expressions for distance we obtained earlier:

Distance = 6x + 6 = 6(7) + 6 = 48

Therefore, the distance between the two towns is 48 km.

The integral is ln|x + cos(x)| + C, where C represents the constant of integration.

To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:

First, let's rewrite the integral in a slightly different form to simplify the process:

∫(1/(x + cos(x))) dx

We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).

Rearranging this equation, we get dx = du/(1 - sin(x)).

Substituting these values, the integral becomes:

∫(1/(u(1 - sin(x)))) du

Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:

∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C

Replacing u with its original expression, we have:

ln|x + cos(x)| + C

Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.

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Opposite values are those values which on the number line has the same distance between them and zero. The temperature in each city is PoT=-PhT and PhT =+PoT.

Opposite values are those values which on the number line has the same distance between them and zero. Although the sign on the values may be difference. For example if the first value is 4, then its opposite value is -4.

In general, the temperature equation for Portland, Maine is stated mathematically as

PoT=-PhT

As it is given in the question that the Portland, Maine and Phoenix, Arizona had opposite values. Also, the temperature in Portland is lower than in Phoenix. Therefore, the temperature in each city can be written as,

PoT=-PhT

PhT =+PoT

Hence, the temperature in each city is PoT=-PhT and PhT =+PoT.

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the answer is:

A. -16

Answer:

(0, -3) and (1, -2)

Step-by-step explanation:

This question essentially asks at which points do these two quadratic functions intersect. By looking at the graph, the two points of intersection are at (0, -3) and (1, -2)

Answer:

The solutions are (0, -3) and (1, -2).

Step-by-step explanation:

The solutions to a graphed system of equations are the points of intersections.

Points of intersection refer to the coordinates where the graphs of the equations intersect on a coordinate plane.

From inspection of the given graphs, we can observe that the blue and red curves intersect at points (0, -3) and (1, -2).

Therefore, the solutions are (0, -3) and (1, -2).

Answer:

Ayo

Step-by-step explanation:

Thanks bro