If p = (-4,7), find:
ry-axis (p)
([?], []).

Zeros of the given polynomial are -2, 2, -3/2, 3/2

Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole.

Given a polynomial 1/4(4\(x^{4}\) - 25\(x^{2}\) + 36)

1/4(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

(4\(x^{4}\) - 25\(x^{2}\) + 36) = 0

4\(x^{4}\) - 16\(x^{2}\) - 9\(x^{2}\) + 36= 0

4\(x^{4}\)(\(x^{2}\) - 4) - 9(\(x^{2}\) - 4) = 0

(4\(x^{4}\)-9)(\(x^{2}\) - 4) = 0

(x+2)(x-2)(2x+3)(2x-3) = 0

x = -2, 2, -3/2, 3/2

Hence, Zeros of the given polynomial are -2, 2, -3/2, 3/2

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Answer:

See below

Step-by-step explanation:

Basically, when you have a product to two factors set equal to 0, you can use the Zero Product Property and make two separate equations, both set equal to 0, to find the roots for each factor:

\(2x+10=0\\2x=-10\\x=-5\)

\(x-7=0\\x=7\)

Notice that by plugging these roots back into the equation, either factor will be 0, making the whole expression 0:

\((2x+10)(x-7)=0\\(2(7)+10)(7-7)=0\\(24)(0)=0\\0=0\)

\((2x+10)(x-7)=0\\(2(-5)+10)(-5-7)=0\\(0)(-12)=0\\0=0\)

Answer:

c.

Step-by-step explanation:

Answer:

Greater than can be defined as an inequality used to compare two or more numbers, quantities or values. It is used when a quantity or number is bigger or larger than the second or rest quantities or numbers.

Step-by-step explanation:

Answer:

A.2x+6

B.60x-20

C.8x+4

D.6x-24y

Answer:

3m + 9

Step-by-step explanation:

Answer:

4.32 francs

Step-by-step explanation:

45p × £/(100p) × 9.6 francs / £ = 4.32 francs

Answer:

We have to find the product of ,

(a+3)(a-2)

We will use the identity

(x+a)(x+b)=x² + (a+b)x+ab

So, (a+3)(a-2)=a²+(3-2)a+ (3)×(-2)

       = a²+1 × a -6

       = a²+a-6

Or , you can use the following method, to find the product.

a×(a-2)+3×(a-2)

=a² -2 a + 3 a-3×2

=a²+a-6

Step-by-step explanation:

Equation of straight line is y=mx+c

choose any two points on straight line

for me I choose:(-3,11) and (3,-1)

use these two points to find gradient,m.

m= (-1-11)/(3-(-3))

m= -2

now, y=-2x+c

choose any point on the straight line

I choose point (3,-1)

sub the point into the equation to find c

-1=-2(3)+c

c=5

equation: y=-2x+5

Number of possible ways 5 card poker hands with exactly 3 aces can be dealt from a standard deck of 52 card is 4512

Total number of cards in a standard deck = 52 cards

Number of cards in poker's hand = 5 cards

We need to find the possible ways of 5 card poker hands with exactly 3 aces can be dealt from a standard deck of 52 card.

Here we have to use the combination

Total number of possible ways = 4C3 × 48C2

Expand the terms

= [4! / (4-3)!× 3! ] × [48! / (48-2)!×2!]

= [4! / 1! × 3!] × [48! / 46! × 2!]

= 4 × 1128

= 4512

Therefore, there are 4512 possible ways

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Answer:

2 x 3 x 3

Step-by-step explanation:

Prime Factorization is finding which prime numbers multiply together to make the original number.

Prime numbers are whole numbers greater than 1 that cannot be made by multiplying other whole numbers: 2, 3, 5, 7, 11, 13, 17, 19 ... etc.

Factors are the numbers you multiply together to get another number.

To find the prime factors of 18:

Start with dividing the number by the first prime number, 2.

So can 18 be divided by 2?  Yes:  18 ÷ 2 = 9   ⇒  So 2 is a factor.

However, 9 is not prime number.  Can 9 be divided by 2 and give us a whole number? No, as 9 ÷ 2 = 4.5 and 4.5 is not a whole number.

So let's try dividing 9 by the next prime number, 3:  9 ÷ 3 = 3.

We can now stop as we divided by the prime number 3 AND the result is a prime number.

Therefore, the prime factorization of 18 = 2 x 3 x 3

As two of the factors are the same (3) , we can also write this using exponents:  18 = 2 x 3²

The Fundamental Theorem of Algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This theorem is important as it provides a way to prove the existence of solutions to polynomial equations and provides an analytical tool to find the exact location of the solutions.

This theorem is also known as the algebraic version of the Intermediate Value Theorem as it states that if a polynomial is continuous on a closed interval, then it must take on all values between its maximum and minimum.

The theorem can be easily proven by considering a single-variable polynomial of degree n and transforming it into a polynomial of degree n−1 with the same roots. By repeating this process, the polynomial can be reduced to a constant and hence, it must have at least one root.

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Answer:

She need 3 more questions to answer

Step-by-step explanation:

Since 1 question equals 5 marks

Answer:

(4.5, 3.5) and (3.5, 5)

(look at graph below)

Orion Flour Mills will initially report the $590 insurance amount as prepaid insurance and expense over the first year of coverage is $72120.

Given that,

Lapeer Flour Mills spent money on the following items in addition to buying new machinery: $64,00 in purchase price, plus sales tax 5,450 equipment shipments, 890 equipment insurance for the first year, and 590 equipment installations 1,780

We have to find the above expenditures for the new machines.

We know that,

Total cost of new machine = Purchase price + Sales tax+ Shipment of machine+ Installation of machine

= $64000+$5450+$890+$1780

= $72120

Therefore, Orion Flour Mills will initially report the $590 insurance amount as prepaid insurance and expense over the first year of coverage is $72120.

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Answer:

x/8

Step-by-step explanation:

how I see the problem I just put the 1 over the 8 because you can't really do anything else with the problem

The inverse f'^{-1}x of the given function is x/8

Given the function y = 8x, we are to find the inverse of the function.

Replace y with x

x = 8y

Make y the subject of the formula

x = 8y

Divide both sides by 8\

x/8 = 8y/8

x/8 = y

Swap sides

y = x/8

Hence the inverse f'^{-1}x of the given function is x/8

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Answer:

\(\displaystyle x= 1\pm \sqrt{5}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

x² - 2x - 4 = 0

Step 2: Identify Variables

a = 1

b = -2

c = -4

Step 3: Solve for x

Answer:

yes

Step-by-step explanation:

1. The solution to the first differential equation is given by e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. The general solution to the second differential equation is x(3x - y^2) = C, where C is a positive constant.

To solve the first-order differential equations, let's solve them one by one:

1. (e^2y - ycos(xy))dx + (2xe^2y - xcos(xy) + 2y)dy = 0

We notice that the given equation is not in standard form, so let's rearrange it:

(e^2y - ycos(xy))dx + (2xe^2y - xcos(xy))dy + 2ydy = 0

Comparing this with the standard form: P(x, y)dx + Q(x, y)dy = 0, we have:

P(x, y) = e^2y - ycos(xy)

Q(x, y) = 2xe^2y - xcos(xy) + 2y

To check if this equation is exact, we can compute the partial derivatives:

∂P/∂y = 2e^2y - xcos(xy) - sin(xy)

∂Q/∂x = 2e^2y - xcos(xy) - sin(xy)

Since ∂P/∂y = ∂Q/∂x, the equation is exact.

Now, we need to find a function f(x, y) such that ∂f/∂x = P(x, y) and ∂f/∂y = Q(x, y).

Integrating P(x, y) with respect to x, treating y as a constant:

f(x, y) = ∫(e^2y - ycos(xy))dx = e^2yx - y∫cos(xy)dx = e^2yx - ysin(xy) + g(y)

Here, g(y) is an arbitrary function of y since we treated it as a constant while integrating with respect to x.

Now, differentiate f(x, y) with respect to y to find Q(x, y):

∂f/∂y = e^2x - xcos(xy) + g'(y) = Q(x, y)

Comparing the coefficients of Q(x, y), we have:

g'(y) = 2y

Integrating g'(y) with respect to y, we get:

g(y) = y^2 + C

Therefore, f(x, y) = e^2yx - ysin(xy) + y^2 + C.

The general solution to the given differential equation is:

e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. x(yy' - 3) + y^2 = 0

Let's rearrange the equation:

xyy' + y^2 - 3x = 0

To solve this equation, we'll use the substitution u = y^2, which gives du/dx = 2yy'.

Substituting these values in the equation, we have:

x(du/dx) + u - 3x = 0

Now, let's rearrange the equation:

x du/dx = 3x - u

Dividing both sides by x(3x - u), we get:

du/(3x - u) = dx/x

To integrate both sides, we use the substitution v = 3x - u, which gives dv/dx = -du/dx.

Substituting these values, we have:

-dv/v = dx/x

Integrating both sides:

-ln|v| = ln|x| + c₁

Simplifying:

ln|v| = -ln|x| + c₁

ln|x| + ln|v| = c₁

ln

|xv| = c₁

Now, substitute back v = 3x - u:

ln|x(3x - u)| = c₁

Since v = 3x - u and u = y^2, we have:

ln|x(3x - y^2)| = c₁

Taking the exponential of both sides:

x(3x - y^2) = e^(c₁)

x(3x - y^2) = C, where C = e^(c₁) is a positive constant.

This is the general solution to the given differential equation.

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Answer:

The basic rule is: If you need to convert from a larger unit to a smaller unit, multiply. If you need to convert from a smaller unit to a larger unit, divide. You will make the number smaller and, as you already know, division is all about making numbers smaller.

Answer:

addiemoss23/this person wrote this NOT me, it is right btw

Step-by-step explanation:

To convert units into smaller units, multiply. When the units are smaller , you need more of them to express the same measure. To convert smaller units to larger units, divide. When the units are larger , you need fewer of them to express the same measure.

Max Says that the product 30 x 10 by 4 has exactly four zeros is not true.

Multiplication is a method of finding the product of two or more numbers

We need to check whether product 30 x 10 by 4 has exactly four zeros

firstly we have to multiply thirty with ten

Now multiply 30×10=300

Which has two zeros and now we have to divide it by 4

300/4

Three hundred by four

75

Seventy five.

Hence, Max Says that the product 30 x 10 by 4 has exactly four zeros is not true.

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In given triangle ABC the length if BC is 7.1 .

What is trigonometric functions?

A subfield of mathematics called trigonometry is concerned with the study of triangles. It is frequently referred to as "trig" casually. In trigonometry, mathematicians look at how triangles' sides and angles relate to one another.

Here in given triangle contains 90°, So it is right triangle.

Now using tangent function then

=> tan B = \(\frac{opposite}{adjacent}\) then

=> tan 38° = \(\frac{AC}{BC}\)

=> BC = tan 38° × AC

=> BC = tan 38° × 9.1

=> BC = 7.1

Hence the length of the side BC is 7.1.

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The length of BC in the triangle ABC is 7.109.

Trigonometry is a branch of mathematics concerned with the study of triangles. It is commonly referred to as "trig" in a casual manner. Trigonometry examines how the sides and angles of triangles relate to one another.

Because the given triangle contains 90°, it is a right triangle.

Now, using the tangent function,

The tangent function is one of trigonometry's six primary functions.

Tan A = Opposite Side/Adjacent Side is the Tangent Formula. In terms of sine and cosine, tangent may be represented as: Tan A = Sin

then,

= tan B = opposite side / adjacent side

= tan 38° = AC/BC

= BC = 38° tan x AC

= BC = tan 38° × 9.1

= BC = 7.109

As a result, the length of the side BC is 7.109.

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6 × 3,725 is equivalent to the value of 22,350.

We have,

To find the value of 6 × 3,725, we multiply the number 6 by the number 3,725.

This can be done by adding 3,725 to itself 6 times or by adding 6 to itself 3,725 times.

However, it is more efficient to use the multiplication operation, which is a shorthand way of adding a number to itself multiple times.

Using the multiplication operation, we can write 6 × 3,725 as:

6 × 3,725 = 6 × (3,000 + 700 + 20 + 5)

= (6 × 3,000) + (6 × 700) + (6 × 20) + (6 × 5)

= 18,000 + 4,200 + 120 + 30

= 22,350

Therefore,

6 × 3,725 is equivalent to the value of 22,350.

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Answer:

A. y=2x

Step-by-step explanation:

m=rise/run

rise=2

run=1

2/1=2

and that was the only equation with a slope of 2

Answer: 1/45

Step-by-step explanation:

From thw question, we are told that there are:

Yellow marbles =2

Pink marbles =3

Blue marbles = 5

Total marbles = 2+3+5 = 10

The probability of drawing the first yellow ball will be= 2/10

Since the ball is not replaced, that means there will be 9 balls left and 1 yellow ball left. Therefore, the probability of drawing the second yellow ball will be = 1/9

The probability of drawing two yellow balls if they're not replaced will now be:

= 2/10 × 1/9

= 2/90

= 1/45

The given nuclear equation is balanced.

The reactants and products in nuclear fusion, nuclear fission, and radioactive decay are represented by nuclear equations. In nuclear reactions, the atomic mass and proton number are conserved rather than the varied number of elements, as in chemical equations.

Given the chemical equation below:

Pb -> He + Hg

In order to determine whether the equation is balanced, we will check if the total mass number and atomic number on both of the reactant is equal to the product.

214 = 4 + 210 (balanced)

82 = 2 + 80 (balanced)

Since the mass and atomic number is balanced, hence the nuclear equation given is balanced.

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The values of the variables x in the  equations are;

An equation is a mathematical statement that connects two mathematical expression with an equals sign.

x + 9 = 13

Subtracting 9 from both sides of the equation, we get;

x = 13 - 9 = 4

3•x = 12

Dividing both sides of the equation by 3, we get;

x = 12 ÷ 3

x + 5 - 9 = 0

Subtracting (5 - 9) from both sides of the equation, we get;

x = 9 - 5 = 4

2•x + 5 = 17

Subtracting 5 from both sides of the equation, we get;

2•x  = 17 - 5 = 12

2•x = 12

Dividing both sides of the equation by 2, we get;

x = 12 ÷ 2 = 6

5•x - 3 = 17

Adding 3 to both sides of the equation, we get;

5•x = 17 + 3 = 20

5•x = 20

Dividing both sides of the equation by 5, we get;

x = 20 ÷ 5 = 4

x - 3 = 1

Adding 3 to both sides of the equation, we get;

x = 1 + 3

7•x = 35

Dividing both sides of the equation by 7, we get;

x = 35 ÷ 7 = 5

\(\frac{4\cdot x}{4} = 4 \)

Multiplying both sides of the equation by 4 and dividing the result by 4, we get;

x = 4 × 4 ÷ 4 = 4

3•(x + 4) = 15

Dividing both sides of the equation by 3, we get;

x + 4 = 15 ÷ 3 = 5

x + 4 = 5

Subtracting 4 from both sides of the equation, we get;

x = 5 - 4 = 1

8 + x - 5 = 7

Adding 5 and subtracting 8 from both sides of the equation, we get;

x = 7 + 5 - 8 = 4

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Step-by-step explanation:

here

-11r ≥ 220

-11r/-11 ≥ 220/-11 (dividing both side with -11 to eliminate -11 )

r ≥-20

The most accurate statement about a binomial random variable is that it counts the number of successes in a given number of trials. This statement is represented by option C.

A binomial random variable is a discrete random variable that models the number of successes in a fixed number of independent Bernoulli trials. Each trial has two possible outcomes: success or failure. The probability of success remains constant across all trials, denoted by the parameter p. The number of trials is denoted by n.

The binomial distribution is characterized by its probability mass function (PMF), which calculates the probability of observing a specific number of successes in the given number of trials. The shape of the binomial distribution is not necessarily bell-shaped, as stated in option A, but rather exhibits a peaked or skewed distribution depending on the values of p and n.

Option B, stating that a binomial random variable is a continuous random variable, is incorrect. Binomial random variables are discrete, meaning they can only take on whole number values. Continuous random variables, on the other hand, can take on any value within a specified range.

Option D, stating that a binomial random variable counts the number of successes in a specified time interval or region, is not accurate. Binomial random variables are concerned with counting successes in a fixed number of trials, not specifically related to a time interval or region.

In summary, the most accurate statement is that a binomial random variable counts the number of successes in a given number of trials, making option C the correct choice.

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