"Write an absolute value equation that has the given solution."
x=8 and x=18
I have no clue at all on what to do.Lol

The critical point(s) of the function f(x) = x^3 + x - 3 + 2 are determined to find the x-coordinate(s) of the local minimum or local maximum.

To find the critical point(s) of the given function, we need to first find the derivative of the function and then solve for the value(s) of x that make the derivative equal to zero.

Given function: f(x) = x^3 + x - 3 + 2

Find the derivative of the function f(x) with respect to x.

f'(x) = 3x^2 + 1

Set the derivative f'(x) equal to zero and solve for x.

3x^2 + 1 = 0

Subtract 1 from both sides of the equation.

3x^2 = -1

Divide both sides of the equation by 3.

x^2 = -1/3

Take the square root of both sides of the equation.

x = ±√(-1/3)

Since the square root of a negative number is not a real number, the function f(x) does not have any real critical points. Therefore, the critical point(s) for the function f(x) = x^3 + x - 3 + 2 is DNE (Does Not Exist) in terms of real numbers.

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Answer: -2115

Step-by-step explanation:

We can use the distributive property to simplify the calculation of -45 × 47 as follows:

\(\huge \boxed{\begin{minipage}{4 cm}\begin{align*}-45 \times 47 &= -45 \times (40 + 7) \\&= (-45 \times 40) + (-45 \times 7) \\&= -1800 - 315 \\&= -2115\end{align*}\end{minipage}}\)

Refer to the attachment below for explanation

Therefore, -45 × 47 = -2115 when using the distributive property.

________________________________________________________

To solve this problem using the distributive property, we can break down -45 into -40 and -5. Then we can distribute each of these terms to 47 and add the products:

\(\begin{aligned}-45 \times 47 &= (-40 - 5) \times 47 \\ &= (-40 \times 47) + (-5 \times 47) \\ &= -1{,}880 - 235 \\ &= \boxed{-2{,}115}\end{aligned}\)

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

32.9 or just round it off and make it 33. both are correct

Step-by-step explanation:

tany=21/32.4

y= tan^-1(21/32.4)

y= 32.9 or 33

Answer: 28 students

Step-by-step explanation:

Answer:

what table ..............there is no table

Answer:

0.75n + 6 = c

Answer:

6 + 0.75n = c

Step-by-step explanation:

The bare minimum cost is $6, plus an additional $0.75 per minute.

Three cards are drawn from a standard deck. Thus, the probability to get an ace, followed by a king, and then a queen, is  16/34,425

The formula for conditional probability is:

P(A∩B) = P(B|A) . P(A)

In the given problem:

P(ace) = 4 / 54

After an ace was drawn, the number of cards now is 51.

Hence,

P(king | ace) = 4/51

After the second drawn, the remaining cards is 50. Hence,

P(queen | (king | ace)) = 4/50

Therefore,

P(ace,king,queen) = 4/54 x 4/51 x 4/50 = 64 / 137,700 = 16/34,425

Thus, the probability to get an ace, followed by a king, and then a queen, is  16/34,425

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Answer:

$29.68

Step-by-step explanation:

Find pretax cost with sale

35 x .8 = $28.00

Find 6% of 28.00

28 x .06 = $1.68

Add ans to 28

28 + 1.68 = $29.68

Answer:

D.

Step-by-step explanation:

it has an x-intercept of –3 and a y-intercept of -4

Answer:

d

Step-by-step explanation:

look at d for a second, just find along the y line where -4 is at and where -3 is at on the x intercept

Answer: The answer would be e

First find where the line intercepts on the y axis, then find the slope of the line by looking at how much the line goes up from each point. In this case, the line goes up by 2 and across by 1, so your slope will be 2/1 which is 2. (If the line went down, the slope would be -2/1 which is -2) Then you can plug in the numbers for the equation for y-intercept form y=mx+b which gives you y=2x+2

Hope this helps!

Answer:

Step-by-step explanation:

i say 3  :I

cuz theres 3 dots spreed out and it said to connect the dots by starting off one and connect the others so i think its 3

Suppose a system of equations has 3 equations and 5 variables. additionally, suppose the coefficient matrix for the system has 3 pivot columns. Based on the information provided, it is consistent.

The number of pivot columns in the coefficient matrix of a system of equations determines the rank of the matrix, which is a measure of the number of linearly independent rows or columns. A system of equations is consistent if and only if the rank of the coefficient matrix is equal to the number of unknowns in the system.

In this case, the system has 3 equations and 5 variables, so it is not immediately clear if the rank of the coefficient matrix is equal to the number of unknowns. Additionally, the number of pivot columns alone is not enough to determine the consistency of the system, as there may be additional relationships between the variables that affect the rank.

So,  Based on the information provided, it is consistent.

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The function which is the vertex form of the equation whose first three steps shown in writing is  f(x)=5(x +4)²- 80.

Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

\(y=a(x-h)^2+k\)

Here, (h, k) is the vertex point.

The first three steps in writing the function in vertex form are shown.

\(f(x) = 40x +5x^2\)

Write the function in standard form.

\(f(x) = 5x^2+ 40x\)

Factor out of the first two terms by taking out the common number 5 from the equation,

\(f(x) = 5(x^2 +8x)\)

Form a perfect square trinomial with (8/2)² = 16,

\(f(x) = 5(x^2 +8x+ 16) - 5(16)\\f(x) = 5(x+4)^2 - 80\)

Hence, the function which is the vertex form of the equation whose first three steps shown in writing is  f(x)=5(x +4)²- 80.

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Answer:

c

Step-by-step explanation:

Answer:  Choice C.   \(f(x) \le 1\)

=========================================================

Reason:

The f(x) represents the y output, and the range is the set of all possible y outputs of a function.

The largest y can get is y = 1, which is at the highest point of the graph, aka the vertex.

We can have y = 1 or y < 1.

Therefore, the range is \(y \le 1\) which translates to \(f(x) \le 1\)

Python code for given situations:

1)

areaOfSquare = int(input('Area of the square: '))

if areaOfSquare >= 0:

sideOfSquare = sqrt(areaOfSquare)

print(sideOfSquare)

else:

print("INVALID")

2)

while True:

n=int(input("Enter a number: "))

if(n>=1 and n<=10):

break;

3)

response = str()

while True:

response=input("Enter a number: ")

if (response=='y' or response =='Y' or response=='N' or response=='n'):

break;

In this question we need to write Python code for given situations.

1)

areaOfSquare = int(input('Area of the square: '))

if areaOfSquare >= 0:

sideOfSquare = sqrt(areaOfSquare)

print(sideOfSquare)

else:

print("INVALID")

2)

while True:

n=int(input("Enter a number: "))

if(n>=1 and n<=10):

break;

3)

response = str()

while True:

response=input("Enter a number: ")

if (response=='y' or response =='Y' or response=='N' or response=='n'):

break;

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Answer:

81.82%

Step-by-step explanation:

cuz meth

Answer:

81.82

Step-by Step

In order to round to the nearest thousand, you simply have to move the decimal point to the RIGHT. Hope it helps!

                     ~Happy holidays

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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Answer:

234500000020000000000000000

Step-by-step explanation:

Answer: 4 inches.

Step-by-step explanation:

Answer: $50

Step-by-step explanation:

Answer:

root 6 by 4

Step-by-step explanation:

Solutution Given:

\(\frac{\sqrt{3} }{\sqrt{8} }\)

expanding root 8.

\(\frac{\sqrt{3} }{\sqrt{2^2*2} }\)

we get

\(\frac{\sqrt{3} }{2\sqrt{2} }\)

multiplying by  \(\frac{\sqrt{2} }{\sqrt{2} }\)

again we get

\(\frac{\sqrt{3} }{2\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} }\)

since root 2*root 2=2

and root 3* root 2=root 6.

substituting value

we get

\(\frac{\sqrt{6} }{2*2} =\frac{\sqrt{6} }{4} }\)

your answe is correct

The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.

The formula for pooled variance is:

pooled variance = (SS₁+ SS₂) / (df₁ + df₂)

where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.

Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in

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Answer:

m+10

Step-by-step explanation:

We know that yesterday, eric had m baseball cards. Thus, we can denote that the total number of baseball cards he had yesterday is m.

We know that he got 10 more today. Since he is receiving more, he is adding to his collection. Since he is getting more, we have to add 10 to how many baseball cards he used to have. He used to have m baseball cards, so today he has m+10 baseball cards.

This is the answer as we cannot combine 10 and m. Since m is a variable with no set value as of now, and 10 is a constant number that has no variable, they are not like terms and cannot be added. So the answer is m+10 baseball cards.

I hope this helped.

Please consider giving brainliest if anyone else responds.

The ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions.

In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.

The radius of the sphere is denoted by the letter r, and the specified point represents its center.

Balls, bubbles, planets, and water drops are a few easy examples.

Every point on a sphere's surface is equally spaced from the center, and the object has no edges or vertices.

So, let's take the 2 radii:

x where x is 5.

5x where 5x is 25.

Now, calculate the volume of the sphere in both cases.

Sphere volume formula:

V = 4/3πr²

Where r = 5.

V = 4/3πr²

V = 523.59878

Round off: 524 units²

Where r = 25.

V = 4/3πr²

V = 65449.84695

Rounding off: 65450 units²

Now, divide to find the ratio:

65450/524 = 124.90

Rounding off: 125

Therefore, the ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

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Complete question:

If the radius of sphere B is five times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A is ____.

Select one:

A. 0.008

B. 25

C. 125

D. 5

E. 0.2

Answer:

R=42

Step-by-step explanation:

hoped this helps :D

Answer:

22.5°

and

157.5°

Step-by-step explanation:

Supplementary angles sum 180°

Then:

a = 7b               Eq. 1

a + b = 180       Eq. 2

Replacing Eq. 1 in Eq. 2:

7b + b = 180

8b = 180

b = 180/8

b = 22.5°

from Eq. 1:

a = 7*b

a = 7*22.5

a = 157.5°

Check:

from Eq. 2:

a + b = 180

157.5° + 22.5° = 180°

Mae's walking speed is 10 miles per hour. This is calculated by considering the given information.

Let's assume Mae's walking speed is represented by the variable "x" (in miles per hour). According to the given information, her jogging speed would then be "x + 12.5" miles per hour.

To calculate Mae's exercise time, we can use the formula: time = distance / speed.

Mae jogs 27 miles at a speed of "x + 12.5" miles per hour, so her jogging time can be calculated as:

jogging time = 27 / (x + 12.5)

Mae walks an additional 3 miles at a speed of "x" miles per hour, so her walking time can be calculated as:

walking time = 3 / x

The total exercise time is given as 3 hours. Therefore, we can set up the equation:

jogging time + walking time = 3

Substituting the calculated values, we get:

27 / (x + 12.5) + 3 / x = 3

To solve this equation, we can start by multiplying all terms by x(x + 12.5) to eliminate the denominators:

27x + 27 * 12.5 + 3(x + 12.5) = 3x(x + 12.5)

Simplifying the equation:

\(27x + 337.5 + 3x + 37.5 = 3x^2 + 37.5x\)

Combining like terms:

\(30x + 375 = 3x^2 + 37.5x\)

Rearranging the terms to set the equation equal to zero:

\(3x^2 + 7.5x - 375 = 0\)

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(\(b^2\) - 4ac)) / (2a)

In this case, a = 3, b = 7.5, and c = -375. Substituting these values into the quadratic formula:

x = (-7.5 ± √(\(7.5^2\) - 4 * 3 * -375)) / (2 * 3)

x = (-7.5 ± √(56.25 + 4500)) / 6

x = (-7.5 ± √(4556.25)) / 6

Calculating the square root:

x = (-7.5 ± 67.5) / 6

Simplifying further:

x = (60 / 6) or x = (-75 / 6)

Since Mae's walking speed cannot be negative, the solution is x = 10.

Therefore, Mae's walking speed is 10 miles per hour.

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The complete question is:

For exercise, Mae jogs 27 miles then walks an additional 3 miles to cool down. If her jogging speed is 12.5 miles per hour faster than her walking speed and her total exercise time is 3 hours, what is her walking speed? The athlete's walking speed is