please help 25 pointsWhat is the equation of the line that has a slope of 14 and goes through the point (8,−3)
?

y=14x+1

y=14x−11
y=14x+5
y=14x−5

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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The two possible answers for the third side of the right triangle are 6 and 24.

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So, a difference of two sides <x< sum of two sides, will give you the possible length of a triangle.

Sarah said, "There is only one possible third side for a right triangle with two sides measuring 9 units and 15 units.'

The two possible answers for the third side of the right triangle are;

\(\rm 15-9 < x < 15+9\\\\6 < x < 24\)

The possible length of the third side of a triangle.

For checking the possible length:

15 + 9 > 7 (a+b>c)

9 + 7 > 15 (b+c>a)

7+ 15 >9(a+c>b)

Which satisfy the triangle inequality theorem.

Hence, the two possible answers for the third side of the right triangle are 6 and 24.

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Answer:

d

Step-by-step explanation:

Answer:

option D

Step-by-step explanation:

\(\sqrt{10x+50}=x+5\\\\(\sqrt{10x+50})^2=(x+5)^2\\\\10x+50=x^2+10x+25\\\\0=x^2+10x-10x+25-50\\\\0=x^2-25\\\\0=(x-5)(x+5)\\\\x=5\\\\x=-5\)

now trying for the original equation

\(\sqrt{10(5)+50}=5+5\\\\\sqrt{50+50}=10\\\\\sqrt{100}=10\\\\10=10\)

and

\(\sqrt{10(-5)+50}=-5+5\\\\\sqrt{-50+50}=0\\\\\sqrt{0}=0\\\\0=0\)

so it's option D

The equation to model the population is P = \(\frac{1}{40}\) \(e^{0.05t}\) + 30

Here the population P of a small town, measured in hundreds, is modeled by the inverse of the function,P−1(t) = 20ln(40t − 1200)

where t is measured in years.

We need to find an equation to model the population.

let y = \(p^{-1}\)(t)

where t is measured in years.

We need to find an equation to model the population.

20\(ln\)(40y - 1200) = t

\(ln\)(40y - 1200) = t/20

\(e^{ln(40y - 1200)}\) = \(e^{0.05t}\)

(40y - 1200) = \(e^{0.05t}\)

40y = \(e^{0.05t}\) + 1200

y = \(\frac{1}{40}\) \(e^{0.05t}\) + 30

Now, we determine the initial value.

P(0) = \(\frac{1}{40}\) + 30

P(0) = 30

The equation to model the population is P = \(\frac{1}{40}\) \(e^{0.05t}\) + 30

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Using a quadratic function, it is found that:

a) The coordinates of the second x-intercept are: (50,0).

b) The vertex shows the maximum flight of the projectile.

c) The coordinates of the vertex are (25, 62).

3) The graph of the equation y = -0.0992(x² - 50x) is given at the end of the answer.

A quadratic function has two x-intercepts, x' and x'', and is defined as follows:

y = a(x - x')(x - x'').

The intercepts are given as follows:

The vertex is found as follows:

Hence the coordinates are: (25, 62).

The equation can be defined as follows:

y = ax(x - 50)

y = a(x² - 50x).

When x = 25, y = 62, hence the leading coefficient is found as follows:

62 = a(25² - 50(25))

-625a = 62

a = -62/625

a = -0.0992.

Hence the equation is:

y = -0.0992(x² - 50x).

The domain of the function is between the roots, hence 0 ≤ x ≤ 50, and the graph is sketched at the end of the answer.

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The zeroes of the polynomial f(x) = x⁴ - 2x³ - 6x² + 22x - 15 are x = 1, x = 3, x = -3

Polynomials can be classified by degree, which is the highest power of the variable in the polynomial. For example, the polynomial f(x) = 3x^4 - 2x^3 + x^2 - 5x + 2 is a fourth-degree polynomial, as the highest power of x is 4.

Polynomials can be added, subtracted, multiplied, and divided using a variety of techniques, including factoring, synthetic division, and long division. They can also be evaluated at specific values of the variable, which can be useful in solving problems or analyzing data.

We can find the zeroes of the polynomial function f(x) = x⁴ - 2x³ - 6x² + 22x - 15 by factoring it or by using numerical methods such as the Newton-Raphson method or the bisection method. Here, we will use the factoring method.

First, we can observe that x = 1 is a zero of the polynomial, since f(1) = 1 - 2 - 6 + 22 - 15 = 0. Therefore, we can factor out (x - 1) from the polynomial:

f(x) = x⁴ - 2x³ - 6x² + 22x - 15

= (x - 1)(x³ - x² - 7x + 15)

Therefore, we have:

x³ - x² - 7x + 15 = (x - 1)(x² - 9)

= (x - 1)(x - 3)(x + 3)

Therefore, the zeroes of the polynomial f(x) = x⁴ - 2x³ - 6x² + 22x - 15 are:

x = 1, x = 3, x = -3

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Answer:

C

Step-by-step explanation:

parallel means no matter how far you stretch it the 2 lines will never touch and these 2 lines won’t EF and CD

Hopes this helps please mark brainliest

The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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Greetings! Hope this helps!

Answer

-8

Explanation

(5m-2n) / p^2

((5(8))-(2(4)) / -2^2

(40-8) /-2^2

32 / -2^2

32/-4

-8

Have a good day!

_______________

A brainliest would help tons! :D

So, we are given the following equation...

(5m-2n)/p^2

But we are given a heads up that m=8, n=4, and p=-2.

So that changes the equation to the following...

(58-24)/-2^2

Remove unneeded parentheses.

Our new equation is 58-24/-2^2

Subtract 58 from 24.

58-24=34.

Find -2^2

-2^2=-4

Now, we divide 34 by -4 and we get -8.5

-8.5 is your final answer!

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To determine the moment of force (F) about point A using the given equations, follow these steps:

1. Identify the position vectors for points B and C relative to point A (rB and rC, respectively).
2. Calculate the cross product of the position vectors and the force vector (F) for both equations:
  - MA = rB × F
  - MA = rC × F

By solving these equations, you will obtain the moment of force about point A. Keep in mind that the cross product will result in a vector, so the moment will have a direction as well as a magnitude.

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The exponential model for the given condition is p(t)=200,000(0.0375)^t.

Given that, a house is purchased for $200,000 and its value appreciates by 3.75% per year.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

Now, using an exponential model: p(t)=a⋅b^{t}

Here, a=$200,000 and b=3.75%

p(t)=200,000(0.0375)^t

Hence, the exponential model for the given condition is p(t)=200,000(0.0375)^t.

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What we can say about molecules is that they  violates the law of definite proportions.

The law of definite proportions, also known as Proust's law or the law of constant composition, is a principle in chemistry that asserts a chemical compound will always contain its constituent components in a fixed ratio (by mass), regardless of its source or method of creation.

All molecules in the gaseous state and smaller molecular compounds in other states of matter are subject to the law of definite proportions, however polymers are exempt from its application. Even with identical monomers, the length, branching, termination, etc. of the polymer molecules varies significantly.

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There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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Answer:

Option (D)

Step-by-step explanation:

If a function f(x) is represented on a graph and we follow the transformation as,

f(x) → \(k.f(x)\)

1). If k ≥ 1, graph of the parent function f(x) will be stretched vertically by a factor k.

That means the transformed graph will be narrower.

2). If 0 < k < 1, graph will be vertically compressed or the transformed function will show a wider graph.

Following this rule,

f(x) → \(\frac{1}{2}.f(x)\) shows k = \(\frac{1}{2}\) [Since 0 < \(\frac{1}{2}\) < 1]

Therefore, transformed form will be wider.

Option (D) will be the answer.

Answer:

the answer for your question is b

We can solve the Inequalities by Isolating the variables that are present in the given Inequality.

In mathematics, an inequality is a connection between two values or mathematical equations that results in an unequal comparison.

The signs that we use in Inequalities are less than( < ), less than or equal to ( ≤ ), greater than ( > ), greater than or equal to ( ≥ ), and not equal to (≠) sign.

Lets us consider we have inequality 3x + 2 + x ≥ 10

We can solve the above inequality as given below

Here we will solve the inequality by Isolating the variable  

Step - 1

Add x term and constant terms

=> 4x + 2 ≥ 10   [ here 3x + x = 4x ]

Step - 2  

Bring out x terms at one side, and constant terms at another side by doing required operations like adding

=> 4x + 2 ≥ 10    [ here we will subtract 2 from both sides ]

=> 4x + 2 - 2  ≥ 10 - 2

=> 4x  ≥ 8  

Step - 3

Now isolate the variable to get the solution

=>  4x/4  ≥ 8/4         [ here divided by 4 ]

=> x  ≥ 2  

Therefore, the required solution is x ≥ 2    

Therefore,

We can solve the Inequalities by Isolating the variables that are present in the given Inequality.

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Answer:

Positive 8 I answered your other one too

Answer:

Step-by-step explanation:

As we know that a polynomial with three terms is said to be a trinomial.

Considering the trinomial of a form

\(ax^2+bx+c\)

As

a = 1

so

\(x^2+bx+c\)

For example,

\(x^2+7x+10\)

\(=\left(x^2+2x\right)+\left(5x+10\right)\)

\(=x\left(x+2\right)+5\left(x+2\right)\)

\(\mathrm{Factor\:out\:common\:term\:}x+2\)

\(=\left(x+2\right)\left(x+5\right)\)

Therefore, Trinomials in the form \(x^2+bx+c\) can often be factored as the product of two binomials.

Answer:the slope of a line it the angle/slope that that line is at

Step-by-step explanation: slope times width

Answer:

(0,-1) I could be wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2x+9y=-9 (solve for x)

-2x= -9y-9

X = - 9y/-2 - - 9/2. X = 9y/2 + 9/2

9(9/2y+9/2)-2y=2

81y/2 + 81/2 - 2y = 2

81y/2 - 2y = 2 - 81/2. 81/2 - 2 = 77/2 and -81/2 +2 = -77/2

77/2 y = - 77/2

y = (-77/2)/(77/2)

y = - 1

Answer:

f(6) = - 75 , g(- 5) = - 8

Step-by-step explanation:

substitute x = 6 into f(x) , that is

f(6) = - 2(6)² - 3 = - 2(36) - 3 = - 72 - 3 = - 75

substitute x = - 5 into g(x) , that is

g(- 5) = 2(- 5) + 2 = - 10 + 2 = - 8

Answer:

Flour need for 1 cup of water = \(1\frac{7}{8}\) cups

Step-by-step explanation:

Given:

Cups of water = \(1\frac{1}{3}\) = 4/3

Cups of flour = \(2\frac{1}{2}\) = 5/2

Find:

Flour need for 1 cup of water

Computation:

Flour need for 1 cup of water = Cups of flour / Cups of water

Flour need for 1 cup of water = (5/2) / (4/3)

Flour need for 1 cup of water = 15/8

Flour need for 1 cup of water = \(1\frac{7}{8}\)

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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There are 2415 females in the country.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

There are 3450 people in a country.

It was recently estimated that females outnumber males by seven to three.

That means,

70% are the females.

So, the number of females,

= 70% of, 3450

= 70 x 3450 / 100

= 2415.

Therefore, 2415 females are in the country.

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Answer:

\(\dfrac{x+y}{2}\)

Step-by-step explanation:

Let first number be x and another number is y.

A rational number is a fraction that can be expressed in the form of x/y.

A rational number between x and y is given by :

\(R=\dfrac{x+y}{2}\)

So,

If x and y are two rational numbers such that x < y , then \(\dfrac{x+y}{2}\) is a rational number in between x and y.

Answer:

Step-by-step explanation:

Answer:

162

Step-by-step explanation: