What is y−10=9(x+8)written in standard form

a. The equation x^2 + 7x + 35 = 0 has complex roots.

b. The equation 6x^2 - x - 1 = 0 has two real solutions.

c. The equation x^2 - 16x + 64 = 0 has a repeated root at x = 8.

To find the roots of a quadratic equation, we can use different methods based on the nature of the equation.

a. For the equation x^2 + 7x + 35 = 0, we can calculate the discriminant (b^2 - 4ac) to determine the nature of the roots. In this case, the discriminant is 7^2 - 4(1)(35) = -147, which is negative. Since the discriminant is negative, the equation has no real solutions and the roots are complex.

b. For the equation 6x^2 - x - 1 = 0, we can use the quadratic formula, x = (-b ± √(b^2 - 4ac)) / (2a), to find the roots. In this case, a = 6, b = -1, and c = -1. By substituting these values into the formula, we get x = (1 ± √(1 - 4(6)(-1))) / (2(6)). Simplifying the equation further provides the two real solutions.

c. For the equation x^2 - 16x + 64 = 0, we can factor the equation to simplify it. By factoring, we find that (x - 8)(x - 8) = 0, which can be further simplified to (x - 8)^2 = 0. This indicates that the equation has a repeated root at x = 8.

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Answer:

I know this is late but the actual answer is d=3s+-50

Step-by-step explanation:

The reason is because he is swimming down, so yeah.

The probability that she makes 6 of them is 0.242

The probability is the likelihood that something will happen, to put it simply. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several. The study of events that fit into a probability distribution is known as statistics.

Given,

A basketball player has a probability = 0. 603

The player shoots 10 free throws.

Let x be a random variable that represents the number of free throws made by a basketball player.

x ≈ Binomial (n,p)

p = 0.603

n= 10

P(x=k) =  n\(C_{k} p^{k} (1-p)^{n-k}\)

P(6) = ₁₀\(C_{6} (0.603)^{6} (1-0.603)^{10-6}\)

      = \(210(0.048)(0.397)^{4}\)

      = 210 ( 0.048 ) ( 0.024)

      = 0.242    

Therefore, the probability that she makes 6 of them is 0.242

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The derivative of the function f(x) = (5sin(x) - 9)/(10x⁸ - 4) using the quotient rule is f'(x) = [(5cos(x) * (10x⁸ - 4)) - ((5sin(x) - 9) * (80x⁷))] / (10x₈ - 4)]

To find the derivative of the function f(x) = (5sin(x) - 9)/(10x⁸ - 4), we can use the quotient rule.

The quotient rule states that if we have a function of the form f(x) = g(x) / h(x), then the derivative is given by:

f'(x) = (g'(x) * h(x) - g(x) * h'(x)) / (h(x))²

Let's apply the quotient rule to find the derivative of the given function:

f(x) = (5sin(x) - 9)/(10x⁸ - 4)

g(x) = 5sin(x) - 9

h(x) = 10x⁸ - 4

Let us now calculate the derivatives of g(x) and h(x):

g'(x) = d/dx (5sin(x) - 9) = 5cos(x)

h'(x) = d/dx (10x⁸ - 4) = 80x₇

Now, we can apply the quotient rule:

f'(x) = (g'(x) * h(x) - g(x) * h'(x)) / (h(x))²

f'(x) = [(5cos(x) * (10x⁸ - 4)) - ((5sin(x) - 9) * (80x⁷))] / (10x⁸ - 4)²

Therefore, the derivative of the function f(x) = (5sin(x) - 9)/(10x⁸ - 4) using the quotient rule is f'(x) = [(5cos(x) * (10x⁸ - 4)) - ((5sin(x) - 9) * (80x⁷))] / (10x₈ - 4)].

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Complete question:

Use the quotient rule to find the derivative of (5 sin(x) - 9/ 10x⁸ - 4). You do not need to expand out your answer. Be careful with parentheses!

Answer:

Sure this is a question from probability

Possible 2^n can be use

2^35 =3.432597387 × 10^10

Step-by-step explanation:

I'm not sure

Paula can create number of possible ways of pictures are 35!.

A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.

Given that Paula has 35 unique puzzle pieces

So, the method of organizing possible pictures can she create dependent on each other to succeed.

There is an arrangement process

It is equal to the permutation of 35 numbers

⇒ ³⁵P₃₅

The formula of ⁿPₓ = n!/(n-x)!

⇒ 35!/(35-35)!

⇒ 35!/0!           [∵ 0! = 1]

⇒ 35!

Hence, Paula can create number of possible ways of pictures are 35!.

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The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).

To determine if the function f(x) = (x+3)/(x²-9) is continuous at x=3, we need to check if the limit of the function exists as x approaches 3 from both the left and the right, and whether this limit is equal to the value of the function at x=3.

First, we can check the limit as x approaches 3 from the left:

lim x→3- f(x) = lim x→3- (x+3)/(x²-9) = (-3)/(0-) = ∞

Next, we can check the limit as x approaches 3 from the right:

lim x→3+ f(x) = lim x→3+ (x+3)/(x²-9) = (6)/(0+) = ∞

Since both one-sided limits are infinite, the limit as x approaches 3 does not exist.

Therefore, the function f(x) = (x+3)/(x²-9) is not continuous at x=3.

The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).

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The explanatory variable in this scenario would be B. The length of the lesson.

An explanatory variable is one that is used to explain or predict the outcome of a dependent variable.

In this case, the instructor wants to determine if a longer lesson would improve student test scores.

Therefore, the length of the lesson is the explanatory variable because it is being used to predict or explain the outcome of the dependent variable, which is the student test scores.

The other options, the quality of the lesson, the number of students in the class, and the student test scores, are not being used to explain or predict the outcome of the dependent variable, so they are not the explanatory variable.

Hence, the correct answer is, option B: The length of the lesson.

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Answer:

yes

Step-by-step explanation:

I used a calculator

Answer:

To find out for what mileages Company A will charge less than Company B, we need to set up an inequality using the given prices and the number of miles driven, m.

For Company A, the cost is a flat rate of $104 regardless of the number of miles driven. Therefore, the inequality is simply:

104 < 65 + 0.60m

We can simplify this inequality by subtracting 65 from both sides:

39 < 0.60m

To isolate m, we can divide both sides by 0.60:

65 < m

So, Company A will charge less than Company B for any mileage greater than 65 miles. If Rachel plans to drive more than 65 miles, she should choose Company A to save money. However, if she plans to drive less than 65 miles, Company B may be the cheaper option.

Answer:

3. 16.67

4. 25

Step-by-step explanation:

3. x+2÷8=14/6 (similar triangles have corresponding proportional sides)

x+2=(7×8)/3

x=56/3-6/3 (LCM)

x= 50/3

4. 27/72= (-4+4x)/64

3/2= (-1+x)/16

-1+x=24

x=24+1

Answer:

85

Step-by-step explanation:

when you have a number and a variable together (10x) it means multiplication.

so if you replace the x with 8, it turns into 10 × 8 which equals 80. Then, you add 5 to it and get 85.

(i'm not the best at explaining but i tried)

Answer:

x= 5/9 or 0.5556

Step-by-step explanation:

|2x-5| = -3x+4

|5x-5|=4

|5x|=9

|x|=5/9 or 0.5556

x= 5/9 or 0.5556

Answer:

I havent done this in a long time but I think it is 0x+4=y

Step-by-step explanation:

Answer:

y=2x+4

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

-5w+6

Plug in: -5(4)+6

-20+6 = -14

Answer:

\(\frac{1}{2} (8)(x+4)=3(x+6)\\x=2\)

Step-by-step explanation:

\(\frac{1}{2} bh=bh\\\\\frac{1}{2}(8)(x+4)=3(x+6)\\4(x+4)=3x+18\\4x+16=3x+18\\4x=3x+2\\x=2\)

1. set the equation for the area of each shape equal to each other

2. simplify each side until you get \(4x+16=3x+18\)

3. subtract 16 from both sides which will give you \(4x=3x+2\)

4. subtract 3x from both sides which will give you the value of x. \(x=2\)

5. check that \(x=2\) is correct by plugging it into the equations

triangle:

\(area=\frac{1}{2} (8)(2+4)\\area=4(6)\\area=24\)

rectangle:

\(area=3(2+6)\\area=3(8)\\area=24\)

the areas are the same

Two non-vertical lines in the same plane are said to be parallel if they have the same slope. No two parallel lines will ever cross. A set of non-vertical lines within the same plane are considered to be perpendicular if they meet at a right angle.

Perpendicular lines and parallel lines both meet at 90 degrees, although parallel lines never do. Lines are perpendicular if the slope of one line is equal to the reciprocal of the second line's negative slope.

Lines that have the same slope are therefore said to be parallel, and if the slope of one line is equal to the negative reciprocal of the slope of the other, the two lines are said to be perpendicular; otherwise, they are just intersecting lines.

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The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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Answer:

\( \frac{8}{25 } \)

8/25 m³

Step-by-step explanation:

each cubic is 8/125 m³ because 2/5 * 2/5 * 2/5 = 8/125 m³

and there is 5 cubic in this object 5*8/125 = 8/25 m³

3 < x < 44

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

Explanation:

For triangles ABC and DEF we have these two pairs of congruent sides

In between sides AB and BC is angle ABC = 82

In between sides DE and EF is angle DEF = 2x-6

Since AC > DF, this must mean angle ABC is larger than angle DEF. This is because the longer a side is, the larger the opposite angle will be.

Therefore, this leads to angle ABC > angle DEF

--------------------------------------------------

This is what the steps will look like

angle ABC > angle DEF

angle DEF < ABC

0 < angle DEF < angle ABC

0 < 2x-6 < 82

0+6 < 2x-6+6 < 82+6

6 < 2x < 88

6/2 < 2x/2 < 88/2

3 < x < 44

x is between 3 and 44, excluding both endpoints.

Answer:

E and A

Step-by-step explanation:

The solution of given equation are +5i and -5i. Therefore, options B and D are correct answers.

The given equation is x²= -25.

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

Here, x²= -25 can be solved as follows

Square root on both the sides of an equation, we get

x=±√(-25)

⇒ x=±5i

⇒ x=+5i and -5i

The solution of given equation are +5i and -5i. Therefore, options B and D are correct answers.

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Waiting until later stages of data analysis before performing queries in the software program can result in inconsistencies in the results.

Data Analysis - Data analysis is the methodical application of logical and/or statistical approaches to describe and demonstrate, summarize and assess, and assess data.

The results of software program queries may be inconsistent if they are performed later in the data processing process.

Simply said, analysis includes describing the contents of the data, whereas interpretation entails giving that data meaning.

The steps of data analysis and interpretation are crucial. The researcher must both during the study procedure.

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The inverse of f(x), denoted as f⁻¹(x), is given by the formula f⁻¹(x) = √(x + 7) divided by 6.

To find the inverse of f(x), we need to solve for x in terms of y and then interchange x and y.

We need to choose the positive square root to get the inverse function that is also a function.

So, the inverse function of f(x) is:

f⁻¹(x) = √((x + 7)/6)

"The inverse of f(x), denoted as f⁻¹(x), is given by the formula f⁻¹(x) = the square root of (x + 7) divided by 6."

Therefore, the inverse function of f(x) is f⁻¹(x) = √((x + 7)/6).

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Answer:

72

Step-by-step explanation:

9514 1404 393

Answer:

  (0, 0)

Step-by-step explanation:

The y-intercept is the value of y where the line crosses the y-axis. In the form ...

  y = mx + b

the y-intercept is the value of b.

Comparing the given equation to this form, we see that b = 0.

The y-intercept is y=0; the point is (0, 0).

Answer:

1)

D. 3:2

2)

B. 40%

as, no. of girls=8

total no. of students =12+8=20

now,

percentage of girls=no.of girls/total no. of students ×100%

=8/20×100%

=40%

Answer:

The slope of line 1 is: (7-3) / (-5 - -9) = 4/4 = 1

The slope of line 2 is: (2-6) / (-7 - -11) = -4/4 = -1

Yes, they are perpendicular

Step-by-step explanation:

The slope of line 1 is: (7-3) / (-5 - -9) = 4/4 = 1

The slope of line 2 is: (2-6) / (-7 - -11) = -4/4 = -1

slope 2 = - 1/1 = - 1/slope 1

Answer:

C and E has All real numbers are solutions.

Step-by-step explanation:

hope this helps

Answer:

OG, OC, TG, TC, VG, VC

Step-by-step explanation:

Soups: O, T, V

Salads: G, C

For each soup, he can choose 2 salads.

OG, OC, TG, TC, VG, VC

The sample space represents all the possible ways to choose one soup and one salad is {OG, OC, TG, TC, VG, VC}.

Sample space is the set of all the possible values or the outcomes of a event.

Let suppose the coin are tossed two times. Then the set of possible outcome or sample space of it can be given as,

\(S=\{HH,HT,TH,TT\}\)

Here, H denotes the head and T denotes the tail part of the coin.

A customer at a restaurant can choose a soup and a salad from the menu choices shown.

For this menu the customer choose one onion as soup and one garden as salad which can be represented as (OG). Similarly, the sample space of his choice can be,

\(\{OG, OC, TG, TC, VG, VC\}\)

Thus, the sample space represents all the possible ways to choose one soup and one salad is {OG, OC, TG, TC, VG, VC}.

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Answer:

U did not add a picture but if u do I will help.

Step-by-step explanation:

It should be 8 to the right and 12 to the left which should end at -4

Answer:

The answer is 4?? tell me if it's wrong or not.

The space station in question is shaped like a hollow ring with a diameter of 450 mm. A hollow ring refers to a ring-like structure that is empty in the middle.

In this case, the space station does not have a solid core but is instead a circular structure with an empty space in the middle. The space station being described is designed in the shape of a hollow ring. It has a diameter of 450 mm. A hollow ring is a type of structure that resembles a circular ring but has an empty space in the middle. In this case, the space station does not have a solid core but instead consists of a circular structure with no material filling the center. This design allows for various functionalities, such as docking points for spacecraft and equipment storage. The hollow ring shape provides a large surface area for the space station, enabling it to accommodate more modules and astronauts. The diameter of 450 mm determines the overall size of the space station, affecting its capacity and capabilities. The specific purpose and details of the space station can vary depending on the context or specific design specifications. In summary, the space station is shaped like a hollow ring with a diameter of 450 mm. This design allows for a larger surface area and various functionalities. The specific purpose and details of the space station can vary depending on the context or specific design specifications.

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