HELP EASY ALGEBRA 1
Part A Which solution do you get when you use the quadratic formula to solve the equation –4x2 – 12x – 9 = 0?
A. −32
B. −12
C. −32±322–√
D. 12
Part B From your answer in Part A, what can you conclude about the vertex of the graph of f(x) = –4x2 – 12x – 9?
A. The vertex is above the x-axis.
B. The vertex is in the first quadrant.
C. The vertex is below the x-axis.
D. The vertex is on the x-axis.

The values of L and K which maximize production will be 18 and 216 respectively.

Production simply means the process of combining various inputs, both material and immaterial in order to create output. Ideally this output will be a good or service which has value and contributes to the utility of individuals

In this case, a company has 2700 dollars to invest, which must be divided between capital expenditures and labor and each unit of labor costs the company 10 dollars, and each unit of capital costs 10 dollars.

Hence, the values of L and K which maximize production will be 18 and 216 respectively.

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After considering the given values we can come to the conclusion that the annual installment that has to be made to the investment fund to retire within the age of 40 with enough money to draw $75,000 per year until age 90, assuming a risky investment that earns 8% per year, is approximately $16,431.

To evaluate the equal annual installment that you need to make from age to age 40, we need to use the present value of an annuity formula:

PMT = (PV × r) / (1 - (1 + r)⁻ⁿ)

Here,

PMT= equal annual installment,

PV =present value of the investment fund at age 40,

r = expected annual rate of return on the fund,

n = number of years over which the payments will be made.

We can proceed by evaluating the present value of the investment fund that we need at age 40, based on the assumption that we will draw per year for the next years.

Let's call this present value PV2. Assuming an interest rate of r2 for the period from age 40 to age, we can calculate PV2 using the present value of a perpetuity formula:

PV2 = PMT2 / r2

Here,

PMT2 = annual draw we plan to make from age to age .

Next, we need to evaluate the present value of the investment fund at age, which we will call PV1. Now we can apply the future value of an annuity formula:

FV = PMT × ((1 + r)ⁿ⁻¹) / r

Here,

FV = future value of the annuity at age,

PMT = equal annual installment,

r = expected annual rate of return on the fund,

n = number of years over which the payments will be made (in this case, the number of years from age to age ).

We can then apply the present value formula to evaluate PV1:

PV1 = FV / (1 + r)ⁿ

Finally, we can apply substitution the values we have evaluated into the PMT formula to find the equal annual installment:

PMT = (PV1 × r) / (1 - (1 + r)⁻ⁿ)

Once we have calculated PMT, we can start making annual payments into the investment fund starting at age and continuing until age 40.

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The measure of the angle ABC is 84 degrees and other measures are listed below

Here, we have

8n - 38 = 5n - 8

So, we have

3n = 30

n = 10

So, we have

ABC = 8n - 38 + 5n - 8

ABC = 8(10) - 38 + 5(10) - 8

ABC = 84

So, the measure of the angle ABC is 84 degrees

Here, we have

2k + 28 = 6k - 20

So, we have

4k = 8

k = 2

So, we have

CBW = 2k + 28

CBW = 2(2) + 28

CBW = 32

So, the measure of the angle CBW is 32 degrees

The interior angle is calculated as

Angle = 180 * (n - 2)/n

Regular 18-gon

Angle = 180 * (18 - 2)/18

Angle = 160

Regular 24-gon

Angle = 180 * (24 - 2)/24

Angle = 165

Here, we have

3x - 10 = x + 8

So, we have

2x = 18

x = 9

So, we have

YA = MA = 9 + 8

YA = MA = 17

Hence, the measures of YA and MA are 17

Here, we have

4x - 15 = 2x - 3

So, we have

2x = 12

x = 6

So, we have

NY = 2(6) - 3

NY = 9

NV = 2 * 9

NV = 18

Hence, the measures of NY and NV are 9 and 18, respectively

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Answer:

To encourage more people to purchase tickets while still raising at least $4000 for the organization, I would make several changes to the raffle game. Firstly, I would reduce the ticket price to a more affordable amount, such as $5 per ticket, to make it accessible to more people. Secondly, I would increase the number of tickets available for purchase, possibly to 2000 tickets, to increase the chances of winning and make it more appealing to potential buyers.

Thirdly, I would adjust the prize amounts to make them more enticing, such as offering a grand prize of $2000, a second prize of $1000, and several smaller prizes of $100 each. By increasing the prize amounts and offering more prizes, it will make the raffle more attractive to people who are looking for a chance to win big while still supporting a good cause.

Additionally, I would use social media platforms and email marketing to promote the raffle to a wider audience, highlighting the prizes and the charitable cause to increase awareness and encourage people to buy tickets. By implementing these changes, the raffle would become more accessible, offer more attractive prizes, and be promoted to a wider audience, ultimately increasing the likelihood of selling more tickets and achieving the fundraising goal of at least $4000 for the organization.

Step-by-step explanation:

n = 10

m∠1 = 360°/ n

= 360°/10

= 36°

[tex] 2 × m∠2 = \frac{(n - 2)180}{n} \\ = \frac{(10 - 2)180}{10} \\ = \frac{8 \times 180}{10} \\ = 8 \times 18 \\ 2 × m∠2 = 144° \\ m∠2 = 72° [/tex]

I would correct my answer

Answer:

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

Given is a regular decagon.

It has 10 congruent sides and each angle opposite to sides is congruent to ∠1.

To find its measure divide 360° by the number of sides (angles):

Angle 1 is formed by two diagonals. Since all diagonals are of same length, the triangle formed by the diagonals and a side is isosceles.

It means there are two of ∠2 and one ∠1 in each triangle.

We know the measure of ∠1, now use the triangle sum property to find the measure of ∠2:

The matching choice is C

Answer: x^2 - 16x - 10 = 0.

Step-by-step explanation:

To find an equation that has the same solution as x^2 - 16x - 15 = -5, we can set the right-hand side of the equation to zero and solve for x.

x^2 - 16x - 15 + 5 = 0

x^2 - 16x - 10 = 0

So, the equation that has the same solution as x^2 - 16x - 15 = -5 is x^2 - 16x - 10 = 0.

The measure of the smallest angle is 26 degree.

We have,

Triangle's angle measures of (x+3)º,(5x-8)º, and (2x+1)º

Using Angle Sum Property

(x+ 3) + (5x - 8) + (2x + 1)= 180

8x - 4 = 180

8x = 184

x = 184/8

x = 23

Thus, the measure of angles are

x+ 3 = 23+ 3 = 26

5x-8 = 5(23) - 8 = 107

2x +1 = 2(23) + 1 = 47

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The new quantity of firewood that is supplied at the price, would be A. 400 cords.

Use the formula for the slope of the supply curve to find the new quantity:

slope = ( Q2 - Q1 ) / ( P2 - P1 )

0.75 = ( Q2 - 300 ) / ( 348 - 255 )

0.75 = ( Q2 - 300 ) / 93

0.75 x 93 = Q2 - 300

69.75 = Q2 - 300

Q2 = 69.75 + 300

Q2 = 369. 75

Given that there are no options for 370 cords, we will pick the closest alternative of 400 cords.

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To find the approximate P-value for a given X² value and degrees of freedom (df),

we need to use a chi-square distribution table or calculator. Here are the approximate P-values for the given values of X² and df, rounded to three decimal places:

(a) X² = 6.62, df = 3

The P-value is 0.084.

(b) X² = 17.44, df = 10

The P-value is 0.076.

(c) X² = 28.94, df = 1

The P-value is < 0.001 (less than 0.001).

Note that the "<" symbol indicates that the P-value is very small and cannot be accurately calculated using the table.

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The true statement is, The difference between the mean is about 2 times the mean absolute deviation of the data sets.

Mean absolute deviation (MAD) is defined as the average value of the absolute deviations from the mean.

Difference of the means is found by subtracting the two means.

Each mean is found by adding the data points and then dividing by the number of data sets.

The relationship between the difference of means and the MAD of two sets is,

The difference between the mean is about 2 times the mean absolute deviation of the data sets.

Hence the correct option is B.

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Answer:

g(x) = x^2 + 5

Step-by-step explanation:

You notice that g(x) is essentially just f(x) but moved upwards.

Using the formula a(x-h)^2 + k, you know that there is no vertical or horizontal stretch, so a is 1. You also know that h is 0 because there is no horizontal movement.

Lastly, you have k. Because the graph is moved up by 5, k = 5.

The equation is g(x) = x^2 + 5.

The expected number of hits

= ∑x P (X=x) = 0.96

Here, we have, to solve

Let X be a Binomial random variable that denotes the number of hits

where the parameters are n = 3, p = 0.320

P(X = x) , x = 0,1,2,3

(a) The probability distribution of X is

P(X = 0) = 0.3144

P(X = 1) = 0.4439

P(X = 2) = 0.2089

P(X = 3) = 0.0328

X 0 1 2 3

P(X = x) 0.3144 0.4439

0.2089

0.0328

(c) Expected number of hits

= ∑x P (X=x) = 0.96

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complete question:

Percents (round to 1. Jing has a .320 on-base percentage. Over the course of a 3-game series, Jing will bat 14 times. Assume that the chance of getting on base a fixed number of times is a binomial distribution. *tel Is the distribution for Jing getting on base symmetric, skewed right or skewed left?

The values of angle x is 140⁰.

The values of angle y is 108⁰.

The values of angle x and angle y is calculated by applying intersecting chord theorem.

The intersecting chord theorem states that the angle at tangent is half of the arc angle of the two intersecting chords.

Angle opposite arc 50 = ¹/₂ x 50 = 25⁰

Angle opposite arc 50 = ¹/₂ x 30 = 15⁰

angle x = 180 - (25 + 15) ( sum of angles in a triangle )

x = 140⁰

The value of angle y is calculated as follows;

minor arc = y

major arc = 50 + 30 + 140 = 220⁰

56 = ¹/₂ (220 - y)

2(56) = 220 - y

112 = 220 - y

y = 108⁰

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The combination of transformation that results in the image WXYZ from the pre-image QRST are:

In mathematics, rotation is a notion that originated in geometry. Any rotation is a movement of a specific space that retains at least one point. It can, for example, explain the motion of a rigid body around a fixed point.

A translation is a geometric transformation in Euclidean geometry that moves every point in a figure, shape, or space by the same distance in the same direction. A translation may alternatively be understood as the addition of a constant vector to each point or as altering the coordinate system's origin.

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There are 56 ways for a group of 10 people to form a committee with at least 8 people on it.

To find the number of ways that a group of 10 people can form a committee with at least 8 people on it, we can use combinations.

First, we can find the number of ways to choose 8 people from the 10 available, which is:

C(10, 8) = 45

Next, we can find the number of ways to choose 9 people from the 10 available, which is:

C(10, 9) = 10

Finally, we can find the number of ways to choose all 10 people, which is:

C(10, 10) = 1

To get the total number of ways to form a committee with at least 8 people on it, we can add up these three cases:

45 + 10 + 1 = 56

Therefore, there are 56 ways for a group of 10 people to form a committee with at least 8 people on it.

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a=2/5 uts the answer

because it's the answer you add and it start with abcd

The norm or magnitude of 2v is 11.66. To find the norm, we first need to calculate 2v, which is 10i-6j. Then, we use the formula ||2v|| = [tex]\sqrt{ (100i^2 + 36j^2)[/tex] to find the magnitude of vector 2v, which simplifies to √136 or 11.66 when rounded to two decimal places.

To take care of this issue, we first need to comprehend what the vectors I and j address. In two-layered Cartesian space, I and j are unit vectors along the x-hub and y-hub, separately. That is, I = (1, 0) and j = (0, 1).

Presently, we can communicate the vector v as 5i-3j, and that implies that it has a greatness of √[tex](5^2 + (- 3)^2)[/tex] = √34.

Then, we really want to track down the standard or size of 2v, which is two times the vector v. That is,

2v = 2(5i-3j)

= 10i-6j

To track down the extent of 2v, we can utilize the equation ||2v|| = √( [tex](10i)^2 + (- 6j)^2[/tex] ).

Figuring out the two terms and disentangling, we get

||2v|| = √([tex]100i^2 + 36j^2[/tex])

Since [tex]i^2[/tex] = 1 and[tex]j^2[/tex] = 1, this streamlines to

||2v|| = √(100+36)

= √136

= 11.66 (adjusted to two decimal spots)

Hence, the standard or extent of 2v is 11.66.

To sum up, we began with the vector v = 5i-3j and viewed its greatness as √34. Then, at that point, we multiplied this vector to get 2v = 10i-6j and utilized the equation ||2v|| = √[tex]( (10i)^2 + (- 6j)^2 )[/tex] to find its size, which ended up being 11.66.

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The complete question is:

Let v = 3i-2j and w = 5i+j. Find 2v-w. None of the given answers o 11i-5j oi-5j o i-3; 0 7i+4j

The graph that represents the function f(x) = [tex]\frac{1}{x - 3} - 2[/tex]  is shown below.

We are given a function f(x) = [tex]\frac{1}{x - 3} - 2[/tex] and we have to plot a graph that represents this function.

The function we have is f(x) = [tex]\frac{1}{x - 3} - 2[/tex]  . We will now find the domain of the function. A set of input values for which the function is real and has defined values is called the domain of the function. So, The given function will be undefined at x = 3

Therefore, the domain is x < 3  or x > 3.

Now, we will look for the range of the given function. The range is the set of values of the dependent variable for which the function is defined. If we inverse the given function, we get

y = [tex]\frac{(3x + 7)}{(x + 2)}[/tex]

We will find the domain of this inverse function. The domain is f(x)  < -2 or f(x) > -2. Now, we will find x-intercepts and y-intercepts. The x-intercept is the point where y = 0 and the y-intercept is where x= 0

Let f(x) = y

Then y = [tex]\frac{1}{x - 3} - 2[/tex]

Put x = 0

thus y-intercept is (0, -7/3)

Now put y = 0

Then  x-intercept is (7/2, 0)

Now, we will calculate the horizontal and vertical asymptotes.

Vertical asymptotes,

Now, we will go over every undefined point and check if at least one of these statements is satisfied.

[tex]lim_{x - > a^{-}} f(x) = \pm\infty[/tex]

[tex]lim_{x - > a^{+}} f(x) = \pm\infty[/tex]

Therefore, the vertical asymptotes are x = 3

and For horizontal asymptotes,

Check if  [tex]x - > \pm\infty[/tex] the function y = [tex]\frac{1}{x - 3} - 2[/tex] behaves as a line y = mx + b.

Therefore, we have y = -2 as horizontal asymptotes.

The plotted graph that represents the given function is shown below.

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The complete question is "Which graph represents the function f(x)=1/x+3-2 "

Answer: 0.3 and 3/10

Step-by-step explanation:

its 3 tenths

The height of the building to the nearest foot is: 235 ft

We are given the parameters as:

Height of building = 94.7 ft

The angle of elevation of the top of the flagpole = θ₁ = 35.2°

The angle of elevation of the bottom of the flagpole = θ₂ = 26.7°

Let,

Height of building = x

Distance from observation point to base of building = y

Thus:

tan 26.7 = x/y

y = x/tan 26.7

tan 35.2 = (94.7 + x)/y

Thus:

tan 35.2 =(94.7 + x)/(x/tan 26.7)

Rearranging this gives:

x = 94.7/((tan 35.2/tan 26.7) - 1)

x = 235.23 ft

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Answer:

Step-by-step explanation:

The answer is -3 because when you add a positive number with a negitive number you subtract not add

Answer:

its step A

Step-by-step explanation:

it wants you to add instead of subtracting witch is trying to fool you

Yw and have a good day! :)

Answer:4/5 minute

Step-by-step explanation:Fastest girl time = 21/10 Slowest girl time = 34/10 difference = (34-21)/10 = 13/10 (3) Total time = 33/10 + 28/10 + 34/10 + 21/10 = 116/10 Previous record = 12 2/5 = 62/5 = 124/10 As the time taken by girls (116/10) is lower than the previous record (124/10) Therefore these girls are faster by (124-116)/10 = 8/10 minutes = 4/5 minutes

The required, Tyshawn would need to sell 9 computers to make $225 on a given day.

We can use the values from the table to find the slope of the linear relationship between x and P. We know that the relationship is linear because the table shows a constant increase in P as x increases by the same amount each time.

To find the slope, we can choose any two pairs of values from the table and use the formula:

slope = (change in P) / (change in x)

Using the first and second pairs of values, we get:

slope = (165 - 135) / (5 - 3) = 15

This tells us that Tyshawn's pay increases by $15 for each additional computer he sells.

Now we can use the point-slope form of the equation of a line to find the number of computers he would need to sell to make $225. We know that his pay starts at a base amount and increases by $15 for each computer sold, so the equation is:

P = 15x + b

where b is the base pay amount. We can find b by using one of the pairs of values from the table. Using the first pair, we get:

135 = 15(3) + b

b = 90

So the equation for Tyshawn's pay is:

P = 15x + 90

To find how many computers he needs to sell to make $225, we can substitute P = 225 into the equation and solve for x:

225 = 15x + 90

x = 9

Therefore, Tyshawn would need to sell 9 computers to make $225 on a given day.

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The critical value based on the information will be zα/2 = -2.58

We want to find the critical values zα/2 and -zα/2 that correspond to these tail probabilities.

Using the standard normal distribution table for negative z scores, we can find the value that corresponds to a tail probability of 0.005. This is -2.58.

Using the standard normal distribution table for positive z scores, we can find the value that corresponds to a tail probability of 0.005. This is 2.58.

Therefore, the critical values are zα/2 = -2.58 and -zα/2 = 2.58.

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The equation for this table is y = x + 6.

The graph and table is shown in the image below.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (9 - 7)/(3 - 1)

Slope (m) = 2/2

Slope (m) = 1

At data point (1, 7) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 7 = 1(x - 1)  

y = x + 6

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The required median of the given data set is 7 2/3. Option B is correct.

As the data set was given in the form of the number line, it became easy to calculate the mean,
From the observation the numbers in the data set can be estimated by counting the number of 'x', which is n =12,
The median is given as,
median = "n/2"th term + "n/2+1" th term / 2

median = 6th term + 7th term / 2

From the data set, proceed with counting x from the left until we reach to the 6th and 7th x where we found the value of 6th and 7th x are the same as 7 2/3, now put this value in the above expression.

Median = [7 2/3 + 7 2/3]  /2
Median = 7 2/3

Thus, the required median of the given data set is 7 2/3. Option B is correct.

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The maximum value of f is (√2)/2, and the point (x, y) at which f has the maximum value on the constraint curve is (x, y) = (√2, -√2/2).

We have,

We set up the equation as:

L(x, y, λ) = f(x, y) - λg(x, y)

= x + y - λ(x² - 2y² - 4)

Then, we need to find the partial derivatives of L with respect to x, y, and λ, and set them equal to zero:

∂L/∂x = 1 - 2λx = 0

∂L/∂y = 1 + 4λy = 0

∂L/∂λ = x² - 2y² - 4 = 0

Solving the first two equations for x and y.

x = 1/(2λ)

y = -1/(4λ)

Substituting these values into the third equation.

(1/(2λ))² - 2(-1/(4λ))² - 4 = 0

Simplifying this equation.

λ² = 1/8

Taking the positive square root.

λ = 1/√8 = √2/4

Substituting this value of λ into the equations for x and y.

x = √2

y = -√2/2

To confirm that this is a maximum point, we need to check that it is indeed a maximum by checking the second partial derivative of L.

The second partial derivative of L.

∂²L/∂x² = -2λ

∂²L/∂y² = 8λ

∂²L/∂x∂y = 0

Substituting the value of λ into these expressions.

∂²L/∂x² = -√2/2 < 0

∂²L/∂y² = √2 > 0

Since the second partial derivative with respect to x is negative and the second partial derivative with respect to y is positive, this confirms that the point (x, y) = (√2, -√2/2) is a maximum point.

Tthe maximum value of f(x, y) = x + y subject to the constraint g(x, y) = x² - 2y² = 4.

f(√2, -√2/2) = √2 - √2/2 = (√2)/2

Thus,

The maximum value of f is (√2)/2, and the point (x, y) at which f has the maximum value on the constraint curve is (x, y) = (√2, -√2/2).

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