!QUESTION ON PIC THX

The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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Answer: (3x^2-1)(4x-3)

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

Work Shown:

Use the factor by grouping method

12x^3-9x^2-4x+3

(12x^3-9x^2)+(-4x+3)

3x^2(4x-3)-1(4x-3)

(3x^2-1)(4x-3)

Answer:

the answer would be look at the test from one year earlier than that year (1979)

Step-by-step explanation:

that's correct answer.

The only true statement about the domain of the given function is:

B. f(x) is negative for all x < -5

The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).

Now, we are given the function as:

f(x) = \(\frac{2}{x^{2} } + 3x - 10\)

When x < -5, we have:

f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)

f(-4) = -21.875

This suggests that for all values below x = -5 will result in negative values

When x > 2

f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)

f(3) = -0.78

Thus, it will get positive for higher values but it can also be negative as seen here.

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g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

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Answer:

Hi

Please mark brainliest ❣️

Thanks

Step-by-step explanation:

The answer is NO

Reason

x= 2 y= 1

Now input in the first inequality

y≤ -x + 4

1 ≤ -2 +4

1≤ 2 i.e 1 is less than two

Next inequality

y≤ x +1

1 ≤ 2 + 1

1≤ 3 i.e 1 is less than 3

But 1 is not equal to 3 and also not equal to 2

Hence our answer is NO

A vector is a quantity that has both magnitude, as well as direction. A vector that has a magnitude of 1 is a unit vector. It is also known as Direction Vector.

Unit Vector is represented by the symbol ‘^’, which is called a cap or hat, such as: â. It is given by   â  = a / |a|

Where |a| is for norm or magnitude of vector a.

It can be calculated using a Unit vector formula.

Unit vectors are usually determined to form the base of a vector space. Every vector in the space can be expressed as a linear combination of unit vectors. The dot products of two unit vectors is a scalar quantity whereas the cross product of two arbitrary unit vectors results in third vector orthogonal to both of them. As explained above vectors have both magnitude (Value) and a direction. They are shown with an arrow.

And, â denotes a unit vector. If we want to change any vector in unit vector, divide it by the vector’s magnitude. Usually, xyz coordinates are used to write any vector.

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The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Answer:

22.5 \(m^{2}\)

Explanation:

The equation for the area of a triangle is \(\frac{1}{2}\)bh

In this case, the base is 9 m and the height is 5 m

9x5=45

45/2= 22.5

Answer: 165 miles

Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.

Answer:

The answer is 165miles

Step-by-step explanation:

\(distance = speed \times time\)

d=55×3

d=165 miles

The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.

For the stated question.

The volume of the sphere is modeled by the power function with respect to the radius as;

V = f(r) = 4/3πr³

As, r is independent of any of the coordinate axis.

Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.

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The numbers that opposite 1/15 and 1/16 are -1/15 and -1/16

From the question, we have the following numbers that can be used in our computation:

Numbers = 1/15 and 1/16

The opposite of numbers is the negative equivalent of the number

Take for instance, we have a number x

The opposite of x is -x

Using the above as a guide, we have the following representation

Numbers = 1/15 and 1/16

This means that, the opposite numbers can be represented as

Opposite numbers = -1/15 and -1/16

Hence, the opposite numbers are -1/15 and -1/16

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Since the result is negative, we can say that the price of the vase decreased by 37.5%. Rounding to a whole number, the percent change is 38% (since a 37.5% decrease is approximately equal to a 38% decrease).

Percent (often symbolized as "%") is a way of expressing a fraction or a portion of something in terms of hundredths. It is used to describe the relationship between a part and a whole, with the whole being represented by 100%. Percentages are commonly used in many areas of life, such as finance, business, and statistics. They can be used to describe changes in values over time, to compare different quantities or amounts, or to express probabilities or frequencies.

Here,

The percent change in the price of the vase can be calculated using the formula:

percent change = (new price - old price) / old price x 100%

In this case, the old price of the vase was $80 and the new price is $50. Substituting these values into the formula, we get:

percent change = ($50 - $80) / $80 x 100%

percent change = -0.375 x 100%

percent change = -37.5%

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(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.

(ii) The axioms of probability are:

the non-negativity (that the probability of an event is greater than or equal to zero), and

the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).

(iii) When two fair dice are thrown the probability of getting:

a) The sum of 9 = 1/9

b) Two odd numbers = 1/4

c) two prime numbers = 1/9

d)  two factors of 12 = 1/9

(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.

To find probability when two dice are thrown, we have:

(a) The sum of 9:

We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways

A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.

(b) Two odd numbers:

We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).

possible outcomes = 9,

So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.

(c) Two prime numbers

We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)

possible outcomes = 4,

So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.

(d) Two factors of 12:

We count the number of ways and divide by the total possible outcomes.

The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways

possible outcomes = 6

Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12

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Answer:80°

This is the answer i think hope this helps you

(a) U is a subspace of L(V, W) (b) F is a linear map, and U is the null space of F. (c) The dimension of U is n - 1

The dimension of U is n - 1

(a) To demonstrate that U is a subspace of L(V, W), we must demonstrate that it meets the three subspace properties:

If T1 and T2 are in U, then T1 + T2 is in U as well, since if T1(v) = 0 and T2(v) = 0, then (T1 + T2)(v) = T1(v) + T2(v) = 0 + 0 = 0.

If T is in U and c is a scalar, then cT is in U, since if T(v) = 0, then (cT)(v) = c * T(v) = c * 0 = 0.

Containing the zero vector: Because 0(v) = 0, the zero transformation in L(V, W), indicated by 0, is in U.

As a result, U is a subspace of L. (V, W).

(b) To demonstrate that F is a linear map, we must demonstrate that it meets the following two properties:

Addition linearity: F(T1 + T2) = (T1 + T2)(v) = T1(v) + T2(v) = F(T1) + F(T2) (T2).

Homogeneity is defined as F(cT) = (cT)(v) = c * T(v) = c * F. (T).

As a result, F is a linear map. To demonstrate that U is the null space of F, we must first demonstrate that U is the set of all T in L(V, W) such that F(T) = 0. In other words, T(v) = 0.

(c) A basis for U can be used to calculate the dimension of U. Because U is a subspace of L(V, W), we may construct a basis for U by limiting a basis for L(V, W) to U. A basis for L(V, W) can be produced by designating as T1, T2,..., Tn the set of all transformations that send the standard basis vectors of V to the standard basis vectors of W. These transformations' constraints to U are T1, T2,..., Tn such that T1(v) = T2(v) =... = Tn(v) = 0. Because v = 0, T1, T2,..., Tn constitute a linearly independent set. As a result, dim(U) = n - 1.

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Answer:

2:3

Step-by-step explanation:

Simplica Los dos numeros

6 ÷ 3 = 2

9 ÷ 3 = 3

Step-by-step explanation:

I just did in the other posting. how often did you post it ?

this is a trick question. the triangle at the top is not an isoceles triangle.

we use Pythagoras for an the steps.

so, the left part of the baseline (split by the height) is calculated by

12² = 10² + part²

144 = 100 + part²

part = sqrt(44) = 6.633249581... ft

the other part is then

20 - 6.633249581... = 13.36675042... ft

and the second leg of the large triangle is

leg² = 10² + 13.36675042...² = 278.6700168...

leg = 16.69341238... ft

P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈

≈ 64.69 ft

please see the answer to the other posting for more details.

Answer: 3 1/3

2/3 x 5 = 10/3 = 3 1/3

2 x 5/3 = 10/3 = 3 1/3

Answer:

\(= \dfrac{10}{3}\)

Step-by-step explanation:

We can rewrite any whole number as itself over 1.

For example, \(5 = \dfrac{5}{1}\).

We can use this tactic to rewrite one of the given (equivalent) expressions. I'll use the one on the left side of the equation.

\(\dfrac{2}{3} \times 5 = \dfrac{2}{3} \times \dfrac{5}{1}\)

Then, we can simplify the multiplication of fractions by multiplying out the both the numerators and denominators.

\(= \dfrac{2}{3} \times \dfrac{5}{1}\)

\(= \dfrac{2\times 5}{3 \times 1}\)

\(= \dfrac{10}{3}\)

Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

Step-by-step explanation:

A={3,4,7,9}

B={8,9,10,11}

now,

AUB={3,4,7,9}U{8,9,10,11}

={3,4,7,8,9,10,11}

hope it helps.

In using quarterly time series data, Quarter two  can serve as the base period for interpretation of dummy variables.

What do you mean by interpretation?

The process of interpreting anything involves elaborating, rephrasing, or otherwise demonstrating your own understanding of it.

                           Because they are explaining what someone is saying to someone who doesn't understand, a person who translates one language into another is known as an interpreter.

What are examples and variables?

A trait that is measurable and capable of taking on several values is known as a variable. A few examples of variables are height, age, income, province of birth, school grades, and kind of dwelling.

                                 The two primary categories of variables are categorical and numeric.

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a) P(psychology student)  = 1/3. b) P(psychology or anthropology student)  = 5/6. c) P(not sociology student)= 5/6

(a) The probability of choosing a psychology student is the number of psychology students divided by the total number of students:

P(psychology student) = 4/(6+2+4) = 4/12 = 1/3

(b) The probability of choosing a psychology student or an anthropology student is the sum of the number of psychology and anthropology students divided by the total number of students:

P(psychology or anthropology student) = (4+6)/(6+2+4) = 10/12 = 5/6

(c) The probability of not choosing a sociology student is the number of non-sociology students divided by the total number of students:

P(not sociology student) = (6+4)/(6+2+4) = 10/12 = 5/6

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Lets find how much flour we need for just one serving.

2 2/3 ÷ 6

8/3 ÷ 6

8/3 * 1/6

8/18

4/9 cup of flour per serving

If we triple the recipe (6 * 3 = 18), we will have a total of 18 servings. Multiply the amount of flour we got for one serving to 18 servings.

4/9 * 18/1

72/9

8 cups of flour for 18 servings

Best of Luck!

Answer:

3.7

Step-by-step explanation:

2r(pi)(∅/360)

2*3*(pi)*(70/360)

6*(pi)*(0.19444...)

3.665191429188092

3.7

Answer:

You multiply the probabilities together.  The probability of rolling an odd number is 1/2 (because half of the numbers on a number cube are odd).  The probability of rolling a number greater than 1 is 5/6 because 5 of the 6 numbers are greater than 1.  Then multiply those two fractions together to get your answer.

Step-by-step explanation:

Answer:

4 feet wide because to find the perimeter you add all the numbers around

The cost of each bag of walnut can be determined following the below steps and each bag of walnut is $1.89

Total receipt= $17.92

4 batches of chocolate chip walnut cookies requires 4 bags each of chocolate chips and walnuts if each batch requires 1 bag each of chocolate chips and walnuts

Cost of chocolate chips = $2.59

Cost of 4 bags of chocolate chips = 4($2.59)

= $10.36

Total cost of 4 bags of walnuts = Total receipt - Cost of 4 bags of chocolate chips

= $17.92 - $10.36

= $7.56

Cost of each bag of walnut= Total cost of 4 bags of walnuts / 4

= $7.56 / 4

= $1.89

Therefore, each bag of walnut cost $1.89

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Answer: Step 1: Divide 17.92 by 4

              Step 2: Subtract 2.59 from 4.48

Step-by-step explanation:

Answer:

the last answer... i hope this helps

Step-by-step explanation:

Answer:

Twice as many students had 3 brothers or sisters as students who had 1 brother or sister

Step-by-step explanation:

Im certain. Pls mark brainliest