ALGEBRA 2 Choose the list that contains all of the possible rational solutions of 2x^4 + x^3 -x + 7 = 0.

Answer:

g(x) = \(2(\sqrt[3]{x})\)

Step-by-step explanation:

Parent function given in the graph attached is,

f(x) = \(\sqrt[3]{x}\)

Function 'f' passes through a point (1, 1).

If the parent function is stretched vertically by 'k' unit,

Transformed function will be,

g(x) = k.f(x)

Therefore, the image of the parent function will be,

g(x) = \(k(\sqrt[3]{x})\)

Since, the given function passes through (1, 2)

g(1) = \(k(\sqrt[3]{1})\) = 2

⇒ k = 2

Therefore, image of the function 'f' will be,

g(x) = \(2(\sqrt[3]{x})\)

Equation of the line having passing point (-2,8) and has a slope of 2 is 2x - y + 12 = 0

What is the equation of the line?

A straight line's equation is y = mx + c, c is the height at which the line crosses the plane, and m is the gradient. y -axis, often known as the y -intercept. The gradient m is the slope of the line, which is the percentage increase in the y-coordinate relative to the x-coordinate.

Given:

Passing point of line , (-2,8)

Slope of the line = 2

Equation of the line having passing point (a,b) and slope m become

y - b = m (x - a)

Equation of the line ⇒ y - 8 = 2(x + 2)

⇒ y - 8 = 2x + 4

⇒ 2x - y + 4 + 8 = 0

⇒ 2x - y + 12 = 0

Therefore, equation of the line having passing point (-2,8) and has a slope of 2 is 2x - y + 12 = 0.

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Complete Question
What is the equation of a line that contains point(-2,8) and has a slope of 2?

Father = 45 years

Joshua = 11 years

See the image I have shared.

Round off at the end

A = ( θ/360)πr² is used to find area of sector and L = ( θ/360)2πr used to find  length of the arc.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

To find the area of a sector:

Find the fraction of the circle represented by the sector by dividing the central angle  θ by 360 degrees.

Multiply this fraction by the total area of the circle, which is given by πr².

The result is the area of the sector, which can be expressed as A = ( θ/360)πr².

To find the length of an arc:

Find the fraction of the circle represented by the arc by dividing the central angle  θ by 360 degrees.

Multiply this fraction by the circumference of the circle, which is given by 2πr.

The result is the length of the arc, which can be expressed as L = ( θ/360)2πr.

Hence, A = ( θ/360)πr² is used to find area of sector and L = ( θ/360)2πr used to find  length of the arc.

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I would recommend taking this bet, as the expected value of the bet is Positive.

The expected value of a bet is the sum of the product of each possible outcome and its corresponding probability. In this case, the probability of getting two heads is 0.25, and the payout for that outcome is $10. The probability of not getting two heads is 0.75, and the payout for that outcome is -$2. When you multiply each outcome by its corresponding probability and sum them together, the expected value of the bet is $1.0. Because the expected value of the bet is positive, it is  a good bet to take. It is more likely that you will gain money .

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Therefore, based on the analysis, the sample result of 110 grams is considered unusually low compared to the expected population mean of 118 grams.

To determine if the sample result of 110 grams is unusually low, we can use statistical analysis by comparing the sample mean to the population mean and considering the standard deviation.

Population mean (μ) = 118 grams

Standard deviation (σ) = 14 grams

Sample size (n) = 50

Sample mean (x) = 110 grams

First, we can calculate the standard error of the sample mean using the formula:

Standard Error (SE) = σ / √(n)

SE = 14 / √(50)

≈ 1.98 grams

Next, we can calculate the z-score, which measures the number of standard deviations the sample mean is away from the population mean. The formula for the z-score is:

z = (x - μ) / SE

z = (110 - 118) / 1.98

≈ -4.04

The z-score tells us how many standard deviations the sample mean is below the population mean. In this case, the z-score is approximately -4.04. To determine if the sample result is unusually low, we need to compare the z-score to a critical value. Typically, a z-score beyond a certain threshold (usually 2 or -2) is considered unusual. Using a threshold of 2 standard deviations, if the z-score falls beyond -2, it would indicate that the sample mean is unusually low. In this case, the z-score of -4.04 is significantly below -2, which suggests that the sample mean of 110 grams is indeed unusually low.

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Answer:

592 in²

Step-by-step explanation:

Given

Length of the box L = 12 inches

Width W = 8 inches

height H = 10inches

Required

Surface Area of the box

Surface area of the rectangular boss = 2(LW + LH + WH)

Substitute the given values

Surface area = 2(12(8)+12(10)+8(10))

Surface Area = 2(96+120+80)

Surface Area = 2(96+200)

Surface area = 2(296)

Surface area = 592 in²

Hence  592 in² of wood would be needed by Mitchell to build the box

Answ

592 in²

Step-by-step explanation:

Given

Length of the box L = 12 inches

Width W = 8 inches

height H = 10inches

Required

Surface Area of the box

Surface area of the rectangular boss = 2(LW + LH + WH)

Substitute the given values

Surface area = 2(12(8)+12(10)+8(10))

Surface Area = 2(96+120+80)

Surface Area = 2(96+200)

Surface area = 2(296)

Surface area = 592 in²

Hence 592 in² of wood would be needed by Mitchell to build the box

This represents adding 17 to the additive inverse of 19. By doing so, we effectively subtract 19 from 17.

To rewrite the subtraction expression "17 - 19" using addition without changing the digits, we can use the concept of additive inverse. The additive inverse of a number is the number that, when added to the original number, yields zero.

In this case, we want to rewrite the expression "17 - 19" using addition. We can think of it as finding the additive inverse of 19 and adding it to 17.

An additive inverse of a number is defined as the value, which on adding with the original number results in zero value. It is the value we add to a number to yield zero. Suppose, a is the original number, then its additive inverse will be minus of a i.e.,-a, such that; a+(-a) = a – a = 0.

The additive inverse of 19 is -19, since 19 + (-19) equals zero. Therefore, we can rewrite the subtraction expression as follows:

17 + (-19)

This represents adding 17 to the additive inverse of 19. By doing so, we effectively subtract 19 from 17.

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The subtraction expression 17 - 19 can be rewritten as an addition expression as 17 + (-19) using the concept of negative numbers.

In mathematics, subtraction can be rewritten as addition by using the concept of negative numbers. The subtraction expression 17 - 19 can be rewritten as an addition expression, without changing the digits, by considering -19 as a negative number to be added. Hence, 17 - 19 can be rewritten as 17 + (-19).

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Answer:

33

got it right no egd ngknggingwekvnskne

Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

Answer:

p..................................

The correct form of a particular solution of the differential equation y" + 4y = cos (2x) is y_p = A cos (2x) + B sin (2x).

The complementary function of the differential equation is y_c = C_1 cos (2x) + C_2 sin (2x), where C_1 and C_2 are constants determined by the initial conditions.

To find the particular solution, we assume that y_p has the same form as the forcing function, which is cos (2x). Since the equation is linear, we can superimpose the particular solution on top of the complementary function, so we have:

y_p = A cos (2x) + B sin (2x)

Taking the first and second derivatives of y_p, we get:

y'_p = -2A sin (2x) + 2B cos (2x)

y''_p = -4A cos (2x) - 4B sin (2x)

Substituting these expressions into the differential equation, we have:

(-4A cos (2x) - 4B sin (2x)) + 4(A cos (2x) + B sin (2x)) = cos (2x)

Simplifying, we get:

(4B - 4A) sin (2x) + (4A + 4B) cos (2x) = cos (2x)

We can solve for A and B by equating coefficients of sin (2x) and cos (2x) on both sides of the equation. This leads to:

A = 0

B = 1/4

Therefore, the particular solution is y_p = A cos (2x) + B sin (2x) = 1/4 sin (2x).

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The algebraic expression in question b can be simplified to give (x² - 5x)/5.

Simplification of an algebraic expressions is the process of writing an expression in the most efficient and compact way, that is in their simplest form, without changing the value of the original expression.

2x²(x - 5)/10x = 2x × x(x - 5)/ 2x × 5

2x is a common factor to both the numerator and denominator, hence can cancel out

2x²(x - 5)/10x = x(x - 5)/5

opening bracket we have;

2x²(x - 5)/10x = (x² - 5x)/5

Therefore, (x² - 5x)/5 is the result after simplifying the algebraic expression 2x²(x - 5)/10x

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Answer:

-7w

Step-by-step explanation:

-2w-5w

so you have to subtract -2 times 5 for now you can ignore the variable and just subtract them. But when you get your answer you have to place w next to it. YOu can ignore the variable because they have the same variable. But with -2w-5x you can't and also it is not possible two subtract -2w from 5x

-2-5

-7

-7w

Answer:

4

Explanation:

A quadrilateral has 4 sides and 4 angles (Quad = 4)

Answer: The triangles are not congruent.

Step-by-step explanation:

We are given that the two triangles both contain a congruent angle and a congruent side. Additionally, the two triangles also share a side with each other, which is the center horizontal side (the one bisecting the two congruent angles). This "shared" side tells us that this side is congruent in both triangles, meaning that both triangles have two congruent sides with a non-included congruent angle among them.

However, because the two triangles only have two congruent sides, and the angle shared by each triangle is not included between the two sides, the triangle would be "congruent" by SSA, which is not a triangle congruency theorem or postulate.

Therefore, the two triangles are not congruent.

I hope this helps!

Answer:

x^2 - 2x/ 3

Step-by-step explanation:

Answer:

\(x=5/2\)

Step-by-step explanation:

When \(f(x)=30\), we have \(3x+9x=30\).

Combining like terms on the right side, we have \(12x=30\).

Finally, dividing by \(12\) we get \(x=30/12\).

We note that \(30=6*5\) and \(12=6*2\), so \(30/12=5/2\).

So, \(\boxed{x=5/2}\) and we're done!

Answer:

I'm a girl too but you seem pretty cool lol I'm sure someone will be interested :D And I wish you the best of luck

Step-by-step explanation:

Answer:

me too!! do u like chase atlantic

Step-by-step explanation:

Answer:

Total Distance Michelle Covered is 26.14 miles

Step-by-step explanation:

According To the Question, We Have

Michelle First Ride Her bike In 12 miles South, then Changed her Direction & Ride Bike For A long While, and when she stopped she find Herself 2 miles south and 10 miles west from starting point. that shows she change direction and start walking in South-West Direction.  

(For Diagram, Please Find in attachment)

In Triangle ABC , Apply Phythagorus Theorem

AB² = BC² + AC²

AB² = 10² + 10²

AB² = 200

AB = √2×10 ⇔ 14.14 miles

Now The Total Distance Travelled by Michelle Would be

OA + AB = 26.14 miles

Answer:

p=x+y

Step-by-step explanation:

Answer:

p=x+y

Step-by-step explanation:

that is the answer

B. {3,4}⊆A and D. {1,2}⊆A.

You provided the following statements:

A. {1,2}∈A
B. {3,4}⊆A
C. {3}∈A
D. {1,2}⊆A

Let's analyze each statement:

A. {1,2}∈A: This means {1,2} is an element of A. This is false, as 1 and 2 are individual elements, not a set.
B. {3,4}⊆A: This means {3,4} is a subset of A. This is true, as {3, 4} is an element of A.
C. {3}∈A: This means {3} is an element of A. This is false, as the set {3} is not present in A.
D. {1,2}⊆A: This means {1,2} is a subset of A. This is true, as both 1 and 2 are individual elements of A.

Therefore, your answer is: Select the statement that is true: B. {3,4}⊆A and D. {1,2}⊆A.

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Answer:

There are no values of  p  that make the equation true.

(No solution)

Step-by-step explanation:

Answer:

\(\mathrm{No\:Solution}\)

Step-by-step explanation:

\(p-4=-9+p\)

Step 1: Subtract \(p\) from both sides

\(p-4-p=-9+p-p\\\\-4=-9\)

Since negative four is not equal, and does not equal negative 9, the answer is \(\mathrm{No\:Solution}\), NOT that there is NO SOLUTION.

Answer:

The approximate age of the bone is approximately 11552 years.

Step-by-step explanation:

The current proportion of carbon-14 with respect to its original amount is defined by following formula:

\(\frac{y}{a} = e^{-0.00012\cdot t}\) (1)

Where:

\(y\) - Current amount of carbon-14, no unit.

\(a\) - Initial amount of carbon-14, no unit.

\(t\) - Time, in years.

If we know that \(\frac{y}{a} = 0.25\), then the approximate age of the bone is:

\(t = -8333.333\cdot \ln \frac{y}{a}\)

\(t\approx 11552.453\,yr\)

The approximate age of the bone is approximately 11552 years.

A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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Answer:

y=1/2x+5/2

Step-by-step explanation:

Answer:

(9, -28)

Step-by-step explanation:

Let S be (x,y)

\(( \frac{x + 1}{2} . \frac{y + 12}{2} ) = (5. - 8) \\ x = 5(2) - 1 = 9 \\ y = - 8(2) - 12 = - 28\)

Therefore, S is (9, -28)

Answer:

By translating the function cos(x) 90 degrees to the right.

Step-by-step explanation:

The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.

If you're wondering why the diagram shows a shift in

\(\pi / 2\)

That's just the equivalent to 90 degrees in radians.