What is the Vertex of 8x^2 + 8x - 8? Help asap plzzzzzz

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Answer:

Answer: The whole numbers for which the products and sum are equal is 1, 2 and 3.

Step-by-step explanation:

Solution: To find the three whole numbers in such a way that their product and sum should be equal. Assume that the three numbers are x, y and z.

Step-by-step explanation:

9.75/.75 = 13

which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.

as 4 volunteers are needed in each section

so keeping this in mind 13×4 = 52

therefore, 52 volunteers race organizer need.

hope this answer helps you dear! take care

Answer:

x=35°

Step-by-step explanation:

So first, recall that the interior angles of a triangle must total 180°.

The sum of the angles for the given triangle can be described by:

\(110+x+x\\=2x+110\)

Since the total must equal 180°, set the expression equal to 180°.

\(2x+110=180\)

To find the value of x, we just need to solve for x.

To start, subtract 110 from both sides. The 110s on the left cancels:

\((2x+110)-110=(180)-110\\2x=70\)

Now, divide both sides by 2. The 2s on the left cancel.

\(\frac{(2x)}{2}=\frac{(70)}{2}\\ x=35 \textdegree\)

Therefore, the value of x is 35°.

Step-by-step explanation:

\(180 - 110 = 60 - 2 = 30 \\ so \: x = 30\)

Answer:

seek god

Step-by-step explanation:

dang maybe the 2nd one

Answer:

\(x = 3\) \(y = 4\)         \(x = -\frac{7}{5}\) \(y = -\frac{24}{5}\)

Step-by-step explanation:

y = 2x - 2

substitute y with 2x - 2 in the other equation

\(x^{2} +y^{2} = 25\)

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

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

\(5x^{2} -8x+4=25\)

\(5x^{2} -8x-21=0\)

Use the quadratic equation to solve

\(\frac{-b(+-)\sqrt{b^{2}-4ac }}{2a}\)

\(a = 5\\b = -8 \\c = -21\)

\(\frac{-(-8)(+-)\sqrt{(-8)^{2}-4(5)(-21) }}{2(5)}\)

\(\frac{8(+-)\sqrt{64-(-420) }}{10}\)

\(\frac{8+\sqrt{484 }}{10}\)          \(\frac{8-\sqrt{484 }}{10}\)

\(x\) = \(3\)           \(x\) = \(-\frac{7}{5}\)

Now use these values of x in the other equation to find two values of y

y = 2x - 2                  y = 2x - 2

y = 2(3) - 2                y = 2(-7/5) - 2

y = 4                         y = - (24/5)

Answer:

12 nickels and 9 dimes

Step-by-step explanation:

1/ We have: n + d = 21 <=> d = 21 - n or opposite (n = 21 - d)

2/ We have: 0.05n + 0.10d = 1.50 and then we will put 1/ into 2/

=> 0.05n + 0.10(21 - n) = 1.50

=> 0.05n + 2.1 - 0.1n = 1.5

=> -0.05n = -0.6

=> n = 12

Nevertheless, d = 21 - n = 21 - 12 = 9

Answer:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

Step-by-step explanation:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

Answer:

$103.75

Step-by-step explanation:

$1,245 devide by 12

Answer:

my acc just got yeeted by a penguin pfp

Step-by-step explanation:

Answer:

oops look in commments

Step-by-step explanation:

A number that goes into a greater number with no remainders is called a factor.

A factor is an integer that divides into a greater number without any remainders.

For example, the number 6 is a factor of 18 because when 18 is divided by 6, the answer is 3 with no remainders. Similarly, the number 3 is a factor of 12 because when 12 is divided by 3, the answer is 4 with no remainders.

Factors are important in mathematics because they can be used to solve equations and determine the greatest common divisor (GCD) of two or more numbers. Factors can also be used to determine prime numbers and their multiples.

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A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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The age of the asteroid is 4.5 billion years.

To determine the age of the asteroid, we can use the half-life of uranium-238 (4.5 billion years) and the ratio of remaining uranium-238 to the decay product radium-226.

Since the asteroid has 17 kg of uranium-238 and originally contained 34 kg (with the rest being radium-226), half of the uranium-238 has already decayed.

Therefore, the asteroid has gone through one half-life period.

The age of the asteroid is equal to the number of half-life periods multiplied by the half-life of uranium-238.

In this case, it is 1 half-life period × 4.5 billion years = 4.5 billion years.

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Number of terms of sequence N

Difference D = -1

Then there are here

In negative part, 70 numbers

In positive x line, 40 numbers

And add also zero

Then, ANSWER IS

N= 70 + 40 + 1

. = 111

There are 111 numbers

Given that, Averi paid $59.88 for 6 months of her premium online music account. The equation for the given information can be written as;6x = 59.88. Hence, Averi pays $9.98 each month for her music account.

We have given that Averi paid $59.88 for 6 months of her premium online music account. Let x represent the cost Averi pays each month.The total cost paid by Averi in 6 months = $59.88And, the cost paid each month = x. Therefore, we can write the given information in terms of an equation as;6x = 59.88By solving the above equation, we can get the value of x.x = 59.88/6 = $9.98Therefore, Averi pays $9.98 each month for her music account.Hence, the correct option is (C) $9.98.

It can be concluded that Averi pays $9.98 each month for her premium online music account by solving the given equation 6x = 59.88.

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The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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The domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

Given function h(x)=\(10x^{2} -6x\).

We are required to find the domain of the given function.

Function is basically relationship between two or more variables that are expressed in equal to form. The values that we entered in the function are known as a part of domain and the values that we get from the function are known as a part of range of function.

The function is h(x)=\(10x^{2} -6x\).

We have not given any range of the function, so we donot know the limit under which the values of that  function lies. Because we donot know the limit so we can put any real number in the function. So the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

Hence the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

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We need to check if lines ℓ and k are parallel. For two lines to be parallel, they must have the same slope and different y-intercepts.Let's compare the given lines:Line ℓ: y = 34x + 6Slope of line ℓ = 34Line k: y = 34x - 7Slope of line k = 34We see that the slope of lines ℓ and k is the same (34), which means that they could be parallel.

However, we still need to check if they have different y-intercepts. Line ℓ: y = 34x + 6 has a y-intercept of 6.Line k: y = 34x - 7 has a y-intercept of -7.So, lines ℓ and k have different y-intercepts, which means they are not parallel. Therefore, the correct answer is b) No.In slope-intercept form, the equation of a line is y = mx + b, where m is the slope of the line and b is its y-intercept. In this case, both lines have the same slope of 34 (the coefficient of x). The y-intercepts are different (+6 for line l and -7 for line k). Thus, the lines are not parallel.

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The answer is option a) Yes. Lines ℓ and k are parallel to each other.

The two distinct lines defined by the following two equations in slope-intercept form are:

Line ℓ: y = 34x + 6

Line k: y = 34x - 7

To determine if the lines are parallel, we need to compare their slopes since two non-vertical lines are parallel if and only if their slopes are equal.

Both lines are in slope-intercept form, so we can immediately read off their slopes:

Line ℓ has a slope of 34, and line k has a slope of 34.

Both the lines ℓ and k have the same slope of 34.

Hence, the answer is option a) Yes. Lines ℓ and k are parallel to each other.

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Answer:

1,2,3,6,9

Step-by-step explanation:

Got it right

The necessary expression for calculating the average rate of change inside the given function f(x) is given using :

f'(x) = (f(9) - f(2))/7

It quantifies how significantly the function changed per unit on average over that time interval. The slope of the single direction connecting every interval's ends on the function's graph is used to calculate it.

As we can see, slope is another way of calculating the average change rate. The average rate of change is calculated by dividing the difference in the dependent  (y-term) by the difference inside the independent variable (x-term). The slope, as well as average rate of change are the same thing.

The function is given to f(x)

The interval is given to be [2,9]

Let a = 2 and b = 9

The expression which is used to determine the average rate of change in f(x) is given by

f'(x) = (f(b) - f(a))/b - a

f'(x) = (f(9) - f(2))/7

The necessary expression for calculating the average rate of change inside the given function f(x) is given using :

f'(x) = (f(9) - f(2))/7

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The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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The standard deviation of f$ ar{x},f$ is usually called the "sample standard deviation".

This is a commonly used statistical measure that represents the amount of variation or dispersion within a set of data. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean.

The sample standard deviation is often used to compare the variability of different sets of data and to determine the significance of differences between them. Financial contracts known as derivatives are those entered into by two or more parties and whose value is derived from an underlying asset,

collection of assets, or benchmark. A derivative may be traded over-the-counter or on an exchange. Derivative prices are based on changes in the underlying asset.

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Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

The equation has one solution, which is x = 2.

Part A: How many ways can this equation be solved?

We must solve the equation and determine how many distinct values satisfy it in order to count the number of possible solutions.

Part B: What results can be obtained from this equation? Feature your work.

Step by step, let's solve the equation:

5(2x - 3) = 5 To begin, divide the number 5 on the left side of the equation as follows:

10x - 15 = 5 Next, move the constant term (-15) to the other side of the equation to isolate the variable:

10x = 5 + 15

10x = 20

To settle for x, partition the two sides of the situation by 10:

x = 20/10

x = 2

In this way, the condition has one arrangement, which is x = 2.

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Answer: 18 pieces

Step-by-step explanation:

If she took 10 pieces and then each child received 2 pieces and she has four children then

10+2+2+2+2=

10+8=

18

Therefore (b). A chi-square statistic is always positive as it is the sum of squared deviations from expected values.

However, it can contain fractions or decimal values as it is based on continuous data. The chi-square distribution is skewed to the right and its shape depends on the degrees of freedom. The possible values for a chi-square statistic depend on the sample size and the number of categories in the data. In general, larger sample sizes and more categories will result in larger chi-square values. It is important to note that a chi-square statistic cannot be negative as it is the sum of squared deviations. Therefore, options (a) and (c) are incorrect. In conclusion, the correct answer is (b) and it is important to understand the properties and interpretation of chi-square statistics in statistical analysis.

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