Find each of the following and then graph f(x)= x²+2x-3 x²-9
Domain:
Holes:
x-int:
y-int:
Vert. asymptote:
Horizontal asymptote:

Answer:

Each notebook costs $1.25

Step-by-step explanation:

We'd have to add back the $6.00 coupon to the original price which would now be $11.25.

After getting the original price we now have to divide the price by 9, because of the 9 notebooks you've purchased.

Therefore, the price of $11.25 divided by the 9 notebooks would cost 1.25 each.

Life in the neighborhood depicted in the film "Los Olvidados" is characterized by challenging economic and social conditions.

The neighborhood in "Los Olvidados" is portrayed as a poverty-stricken area where the residents struggle to make ends meet. The film explores the lives of marginalized individuals most particularly young boys, who are caught in a cycle of poverty, violence, and neglect.

The economic conditions in the neighborhood are harsh, with limited opportunities for employment and a lack of access to basic necessities. As a result, the residents are often forced into criminal activities to survive leading to a high level of violence and crime within the community.

Moreover, the social conditions exacerbate the challenges faced by the neighborhood. There is a sense of abandonment and neglect from the government and wider society with little support or resources available to address the issues faced by the residents.

Full question:

Describes life in the neighborhood that takes place in the film Los Olvidados by Luis Buñuel, taking into account their economic and social conditions through the different activities carried out by the neighborhoods.

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Answer:

x^2+16x+64=(x+8)^2

Step-by-step explanation:

For the first spot you find the perfect square of the equation

This is found by doing (1/2 16)^2

1/2 16 = 8

8^2 = 64

The second spot is factoring, where you would put half of 16 or the square root of 64

1/2 16 = 8

root 64 = 8

We are given the lengths of three sides of an oblique triangle (a, b, c) and we need to find angle A using the Law of Cosines. The Law of Cosines states that in any triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of their lengths multiplied by the cosine of the included angle.

In this case, we have the lengths of sides a, b, and c, and we want to find angle A. The first paragraph will provide a summary of the answer, while the second paragraph will explain how to apply the Law of Cosines to find angle A.

Using the Law of Cosines, we can write the equation as: c^2 = a^2 + b^2 - 2ab cos(A). Substituting the given values, we have 28^2 = 15^2 + 21^2 - 2 * 15 * 21 * cos(A). Simplifying, we get 784 = 225 + 441 - 630 * cos(A). Rearranging the equation, we have 784 - 225 - 441 = -630 * cos(A). Solving for cos(A), we get cos(A) = -432 / -630 = 0.6857. To find angle A, we take the inverse cosine (cos^-1) of 0.6857 using a calculator or a trigonometric table. The approximate value of angle A is A ≈ 46.9 degrees (rounded to the nearest tenth). Therefore, angle A is approximately 46.9 degrees.

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Answer:

C

Step-by-step explanation:

the graph stops at x=0, and continues to the right

Answer:

C.

Step-by-step explanation:

Domain can be found by:

starting x-value < x < ending x-value (if thedot is opened)

or

starting x-value ≤ x ≤ ending x-value (if the dot is closed)

Our starting x-value is x = 0 by the graph.

For ending x-value, there is no ending x-value and thus:

0 ≤ x

x ≥ 0

Answer:

x = 200/3

Step-by-step explanation:

x/10 = 200/30

x × 30 = 200 × 10

30x = 2000

x = 2000 ÷ 30

x = 200/3

Thus, The value of x is 200/3

-TheUnknownScientist

Using proportions, it is found that Talisa's error was at calculating the cost per minute of the game.

In the function:

Talisa's expression is given by:

\(f(x) = 12x\)

The cost of using a game facility is $1 for every 12 minutes, hence, the cost per minute is:

\(c = \frac{1}{12}\)

And the correct expression for the cost is:

\(f(x) = \frac{x}{12}\)

Hence, it can be seen that Talisa's error was at calculating the cost per minute of the game.

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The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:

Is y3 supposed to be y^3?  Is so, the answer is 1.  

Step-by-step explanation:

If the equation is correct as written, 3y = 1, then y = 1/3

y^3 = 1

This can also be written as y^2*y = 1

1.  If y = -1, then y^2y would be (1)*(-1) = -1

2. If y = 1, then (1)^3 * (1) = 1  This works.

3.  If y = ±1, then -1 is a possible answer and -1 does not work as per #1

4.  3^3 = 27

The required answer is 350d ≤ 1400.

Given that the distance covered per day 350 miles and the target distance is 1400 miles.

To find the number of days d that they travel to reach a distance of at least 1400 miles by using the formula.

Number of days (d)= target distance/ distance covered per day.

By using given data and formula provides,

Number of days(d)  = 1400/350

Divide both numerator and denominator by 70 gives,

Number of days (d) = 20/5.

Divide both numerator and denominator by 5 gives,

Number of days (d) = 4.

Thus, d = 4.

That implies, 350 × 4 = 1400

Hence, the required answer is 350d ≤ 1400.

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You should ask a moderator

The probability of a flight will not arrive on time is 231/1000

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

Probability requested is equivalent to:

Flights arrive on time= 769

Total flights = 1000

P(arrive on time) = Flights arrive on time / Total flights

P(arrive on time) = 769/1000

P (not arrive on time) = 1 - 769/1000

P (not arrive on time) = (1000 - 769)/1000

P (not arrive on time) = 231/1000

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Answer:

b

Step-by-step explanation:

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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In logical proofs A, B, and C,p → (q ∧ r) Premise

p ∨ s Premise

¬s ∧ t Premise

¬p ∨ (q ∧ r) Implication elimination (1)

(p ∨ s) ∧ (¬s ∧ t) Conjunction introduction (2, 3)

p Conjunction elimination (5)

q ∧ r Modus ponens (4, 6)

r Conjunction elimination (7)

we need to demonstrate the validity of each argument. In proof A, we use a combination of modus ponens and conjunction elimination. The argument is valid.

In proof B, we employ modus ponens, modus tollens, and disjunction elimination. In proof C, we utilize universal instantiation and existential instantiation.

Proof A:

p → (q ∧ r) Premise

p ∨ s Premise

¬s ∧ t Premise

¬p ∨ (q ∧ r) Implication elimination (1)

(p ∨ s) ∧ (¬s ∧ t) Conjunction introduction (2, 3)

p Conjunction elimination (5)

q ∧ r Modus ponens (4, 6)

r Conjunction elimination (7)

Therefore, the argument is valid.

Proof B:

(¬t ∧ s) → ¬r Premise

(¬q ∨ p) → s Premise

¬t Premise

q → t Contrapositive (3)

¬q ∨ p Modus ponens (2, 4)

s Modus ponens (5, 2)

¬t ∧ s Conjunction introduction (3, 6)

¬r Modus ponens (7, 1)

¬r ∨ u Disjunction introduction (8)

Therefore, the argument is valid.

Proof C:

∀x(P(x) → Q(x)) Premise

∃x(R(x) ∧ P(x)) Premise

R(c) ∧ P(c) Existential instantiation (2)

P(c) → Q(c) Universal instantiation (1)

Q(c) Modus ponens (3, 4)

R(c) ∧ Q(c) Conjunction introduction (3, 5)

∃x(R(x) ∧ Q(x)) Existential generalization (6)

Therefore, the argument is valid

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The value of -f(a) in the absolute value problem is; -f(a) = 15

We are given the absolute value problem;

f(x) = |x - 7| - |x + 8|

When we say absolute value, it means that it must not be negative but the positive absolute value. Thus;

f(a) = |a - 7| - |a + 8|

Since the value inside the absolute value bracket must be positive, then it means that;

f(a) = (a - 7) - (a + 8)

Provided a is not less than 7.

Thus;

-f(a) = -(a - 7 - a - 8)

= -(-15) = 15

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The properties used were the distributive property of multiplication over addition, the subtraction property of equality, and the multiplication property of equality.

Properties are statements that are true for a wide range of numbers or equations. They are rules that describe the behavior of mathematical objects and relationships between them.

1) Given 4x-1=27, we can use the addition property of equality to add 1 to both sides:

4x-1+1 = 27+1

Simplifying, we get:

4x = 28

Then, we can use the multiplication property of equality to divide both sides by 4:

4x/4 = 28/4

Simplifying, we get:

x = 7

Therefore, we have proved that if 4x-1=27, then x=7.

The properties used were the addition property of equality and the multiplication property of equality.

2) Given (a/(-6))+2=5, we can use the subtraction property of equality to subtract 2 from both sides:

(a/(-6))+2-2 = 5-2

Simplifying, we get:

a/(-6) = 3

Then, we can use the multiplication property of equality to multiply both sides by -6:

(a/(-6))(-6) = 3(-6)

Simplifying, we get:

a = -18

Therefore, we have proved that if (a/(-6))+2=5, then a=-18.

3) The properties used were the subtraction property of equality and the multiplication property of equality.

Given -9(2x-3)=63, we can use the distributive property of multiplication over addition to simplify the left-hand side:

-9(2x-3) = -18x + 27

Then, we can use the subtraction property of equality to subtract 27 from both sides:

-18x + 27 - 27 = 63 - 27

Simplifying, we get:

-18x = 36

Finally, we can use the multiplication property of equality to divide both sides by -18:

(-18x)/(-18) = 36/(-18)

Simplifying, we get:

x = -2

Therefore, we have proved that if -9(2x-3)=63, then x=-2.

The properties used were the distributive property of multiplication over addition, the subtraction property of equality, and the multiplication property of equality.

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Answer:

I think it is .000000063

(7 zeros behind the decimal.)

Hope this helps!!!

Step-by-step explanation:

pls mark Brainliest

Step-by-step explanation:

find f(x) when x=8

f(x)=2x+6 but x=8

=2(8)+6

=16+6

=22

(x,f(x))=(8,22)

The probability of the arrow landing on an odd number is the number of odd numbers divided by the total number of possible outcomes. Therefore, the probability of the arrow landing on an odd number is  0.5 or 50%.


To find the probability that the arrow will point at an odd number on a circular board with 8 equal parts, we'll first determine the total number of odd numbers present and then divide that by the total number of possible outcomes.

Step 1: Identify the odd numbers on the board. They are 1, 3, 5, and 7. The game consists of spinning the arrow on a circular board with 8 equal parts, which means there are 8 possible outcomes or numbers. Since we want to know the probability of landing on an odd number, we need to count how many odd numbers are on the board. In this case, there are four odd numbers: 1, 3, 5, and 7.

Step 2: Count the total number of odd numbers. There are 4 odd numbers.

Step 3: Count the total number of possible outcomes. Since the board is divided into 8 equal parts, there are 8 possible outcomes.

Step 4: Calculate the probability. The probability of the arrow pointing at an odd number is the number of odd numbers divided by the total number of possible outcomes.

Probability = (Number of odd numbers) / (Total number of possible outcomes)
Probability of landing on an odd number = Number of odd numbers / Total number of possible outcomes
Probability of landing on an odd number = 4 / 8

Step 5: Simplify the fraction. The probability of the arrow pointing at an odd number is 1/2 or 50%.

So, the probability that the arrow will point at an odd number is 1/2 or 50%.

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Answer:

\(y=-\frac{12}{7}x-\frac{80}{7}\)

Step-by-step explanation:

In order to find the slope-intercept form of a line when given two points, we need to first put it into point-slope form. The point-slope form is given by the equation:

\(y-y_1=m(x-x_1)\)

Where m is the slope and x₁ and y₁ is one of the two points.

Anyways, let's first find the slope. Let's designate (-2,-8) as x₁ and y₁ and (-9,4) as x₂ and y₂ (it doesn't really matter). The formula for slope is:

\(m=\frac{y_2-y_1}{x_2-x_1} =\frac{(4)-(-8)}{(-9)-(-2)}=12/-7=-12/7\)

So, the slope is -12/7.

Now, pick a point for the point-slope form. To keep things consistent, I'm going to use the point (-2,-8) as x₁ and y₁. Plug in -12/7 for m. Therefore:

\(y-(-8)=-\frac{12}{7}(x-(-2))\\\)

Now, simplify, distribute, and isolate the y:

\(y+8=-\frac{12}{7}(x+2)\\y+8=-\frac{12}{7}x-\frac{24}{7}\\y=-\frac{12}{7}x-\frac{24}{7}-8\\y=-\frac{12}{7}x-\frac{24}{7}-\frac{56}{7} \\y=-\frac{12}{7}x-\frac{80}{7}\\y=-\frac{12}{7}x-\frac{80}{7}\)

H0: The distribution of lunch preferences is 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza.

Ha: The distribution of lunch preferences is not 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place.

In hypothesis testing, we have a null hypothesis (H0) and an alternative hypothesis (Ha). The null hypothesis represents the claim or assumption we want to test, while the alternative hypothesis represents the opposite or alternative claim.

In this case, the null hypothesis (H0) states that the distribution of lunch preferences is 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place. The alternative hypothesis (Ha) states that the distribution of lunch preferences is not 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place.

To test these hypotheses, a random sample of 150 students is selected, and their lunch preferences are recorded. The goal is to determine if the observed distribution of lunch preferences in the sample provides enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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The volume of the rectangular prism is 178,164 cubic inches. The volume of a rectangular prism can be calculated by multiplying its length, width, and height. In this case, the rectangular prism has a length of 414 inches, a width of 3 inches, and a height of 114 inches.

To find the volume, we use the formula:

Volume = Length * Width * Height

Substituting the given values into the formula, we have:

Volume = 414 in * 3 in * 114 in

To simplify the calculation, we can first multiply the numbers together without units:

Volume = 414 * 3 * 114

Next, we multiply the resulting number:

Volume = 178,164

Finally, we include the units in the answer:

Volume = 178,164 in³

Therefore, the volume of the rectangular prism is 178,164 cubic inches.

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C. True, because to use the Law of Sines, at least two sides must be known.

The Law of Sines is a trigonometric rule that relates the sides and angles of any triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.

To use the Law of Sines, at least two sides and the angle opposite one of them (or two angles and one side) must be known.

Therefore, the statement "The Law of Sines can be used to solve triangles where three sides are known" is false, as it is not necessary to use the Law of Sines to solve a triangle where all three sides are known.

In summary, the correct answer is C. True, because to use the Law of Sines, at least two sides must be known.

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\(\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{11\pi }{6}\\[1em] r=18 \end{cases}\implies s=18\cdot \cfrac{11\pi }{6}\implies s=33\pi \implies s\approx 104~cm\)

Answer:

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

Explanation:

We'll make x the value of last month's phone bill. So if lets say x = 50, this means that last month's phone bill was $50. We don't know yet if x = 50 is the actual solution or not.

We're told that "This month's cell phone bill was for $15.27 more than last month's cell phone bill". This means this month's bill, in terms of x, is x+15.27 dollars. Whatever x is, we add 15.27 onto it getting this month's bill. This works because x is really a placeholder for a number.

Going back to x = 50, that would mean this months bill is x+15.27 = 50+15.27 = 65.27 dollars. We can see that we don't reach 72.50 that we're told the current months bill actually is. Since we don't have a match, this means x = 50 is too small. We can guess and check our way to hopefully land on the answer. However, using algebra is the most efficient method.

----------

The equation we need to solve is:   x+15.27 = 72.50

This is because x+15.27 represents this month's bill and so does the 72.50, as your teacher gave in the instructions.

To solve this equation, we'll undo the "plus 15.27" to isolate x fully. The opposite of addition is subtraction. We'll subtract 15.27 from both sides

x+15.27 = 72.50

x+15.27-15.27 = 72.50-15.27

x = 57.23

Last month's phone bill was $57.23

As a check, adding 15.27 onto last month's bill should get us to 72.50

x+15.27 = 57.23+15.27 = 72.50

It works out, so we've confirmed the answer.

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

The answer is 129.

Step-by-step explanation:

If f = 10, we would have to multiply 9 x 10, which is 90.

Add that to 39, and you will get 129.

Hope you can understand this

Answer:

-51

Step-by-step explanation: