Write a linear function f with the given values f(-3)=5, f(-1)=5​

Answer:

To fill out a function's sign chart, you will need to test numbers before and after each of the function's zeros and asymptotes.

Hope this helps:) Happy New Year!

Answer: $50

Step-by-step explanation:

Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

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Answer:

The value of x for the following proportion is: 3/2

Step-by-step explanation:

Given proportion is:

\(\frac{x}{6} = \frac{6}{24}\)

In order to solve the proportion, we have to isolate x on one side of the equation and then simplify

First of all simplifying

\(\frac{x}{6} = \frac{1}{4}\)

Now to find the value of x, multiplying both sides by 6

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

Hence,

The value of x for the following proportion is: 3/2

Answer and Step-by-step explanation:

12.[p4-7p2-32p-15]/[p-4]

p*p*p*p-7*p*p-32p-15/p-4

4p-7*2p-32p-15/p-4

4p*2p-32p/p-7-15-4

8p-32p/p-7-15-4

8p-32p-26

-24p-26

11.[x4-2x3-29x2-43x+8/[x-7]

x*x*x*x-2*x*x*x-29*x*x-43x+8/x-7

4x-2*3x*-29*2x-43x+8/x-7

4x*3x*2x-43x/x-2-29+8-7

24x-43x/x-32

-19x-32

10.[2x3-14x+10/x/3]

2*x*x*x-14x+10/x/3

2*3x-14x+10/x/3

2*10/3*3x-14x/x

20/3*3x-14x

20/3*[-11x]

9.[m3-12m2+33m]/[m-5]

3m-12*m*m+33m]/[m-5]

3m*2m+33m/m-12-5

6m+33m-17

39m-17

Just use the same principle to get the rest of the two questions[I can't see them clearly]

The surface area of the sphere is about 50.27 square feet.

The formula for the surface area of a sphere is:

Surface area = 4πr²

The circumference of the sphere as C = 4r ft.

The radius of the sphere as follows:

C = 2πr

4r = 2πr

r = 2 ft

The radius of the sphere can use the formula for surface area to find the answer:

Surface area = 4πr²

Surface area = 4π(2²)

Surface area ≈ 50.27 square feet

Rounding the answer to the nearest hundredth, we get:

Surface area ≈ 50.27 square feet (rounded to two decimal places)

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Differential equations are mathematical equations that involve derivatives. They describe the relationship between an unknown function and its derivatives, helping to model and understand dynamic systems in physics, engineering, and other scientific disciplines.

To find the general solution of the given system of differential equations by decoupling, we first need to rewrite the given equation in a more standard form. The equation provided is: x1' = x1 * x.

Step 1: Rewrite the equation
x1' = x1 * x can be rewritten as dx1/dt = x1 * x, where x1 is a function of time t.

Step 2: Separate variables
Now, we separate variables by dividing both sides of the equation by x1, and then multiplying both sides by dt:
(dx1/x1) = x * dt

Step 3: Integrate both sides
Now we can integrate both sides of the equation with respect to their respective variables:

∫(dx1/x1) = ∫(x * dt)

After integrating, we get:
ln|x1| = (1/2) * x^2 + C₁, where C₁ is the constant of integration.

Step 4: Solve for x1
To find the general solution for x1, we need to exponentiate both sides of the equation to eliminate the natural logarithm:

x1(t) = Ce^(1/2 * x^2), where C = e^(C₁) is a new constant.

So, the general solution of the given system of differential equations is x1(t) = Ce^(1/2 * x^2), where C is an arbitrary constant.

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To solve this problem, we can set up an equation based on the principle of concentration. Let's assume that x represents the number of gallons of the 5% salt solution that needs to be mixed.

The amount of salt in the 5% solution is 0.05x (since 5% is equivalent to 0.05) and the amount of salt in the 9% solution is 0.09 * 30 = 2.7 gallons.

When these two solutions are mixed, the total volume of the mixture is 30 + x gallons, and the amount of salt in the mixture is 0.07 * (30 + x) gallons.

Now we can set up the equation:

0.05x + 2.7 = 0.07 * (30 + x)

Simplifying the equation:

0.05x + 2.7 = 2.1 + 0.07x

0.05x - 0.07x = 2.1 - 2.7

-0.02x = -0.6

Dividing both sides by -0.02:

x = 30

Therefore, 30 gallons of the 5% salt solution must be mixed with 30 gallons of the 9% solution to obtain a 7% solution.

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How many gallons of a 5% salt solution must be mixed with 30 gallons of a 9% solution to obtain a 7% solution ??

Answer:

x<-15

Step-by-step explanation:

You switch the sides of the sign because you are dividing by a negative.

-3x - 42 > 3

Add 42 to both sides to get -3x > 45

Divide both sides by -3 (when you switch the direction of the sign) and get x < -15

Describe four common ways in which individuals respond to perceived inequity are -

Equity, also known as shareholders' equity (or shareholders' equity for private companies), is the sum of money which would be handed back to a company ’s creditors if each of its assets have been liquidated and all of its debt was paid off in the event of liquidation.

Some key features regarding the equity are-

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Answer:

x=4.04 y=7.66

Step-by-step explanation:

Using the associative property of addition, we can write the given equation as follows:

Answer: option 2.

Answer:

y = -2x + 4

Step-by-step explanation:

y = -2x + b

-8 = -2(6) + b

-8 = -12 + b

4 = b

Answer:

89°

Step-by-step explanation:

Total inner degree of PQRS = (4-2)*180° = 360°

PST is a straight line : 180°

angle PSR = 180-128

=52°

angle RQP + angle QPS = 360 - 52 - 130 = 178°

Angle PQR = Angle QPS

Angle QPS = 178/2 = 89°

Answer:  45

Step-by-step explanation:

Answer:

the answer is

10cm.9cm.9cm

Answer:

13 cm, 7 cm, 6 cm

Step-by-step explanation:

In this case, the experimental probability is D. 0.860

First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.

In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.

Then, the probability of rolling a 5 will be equal to:

P1 = 140/1000 = 0.14

Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:

P2 = 1 - 0.14 = 0.86

then the correct option is D

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.

A. 0.140

B. 0.167

C. 0.667

D. 0.860

(f+g)(x) = \(x^2\) - 5x + 5, domain: all real numbers. (f-g)(x) = \(-x^2\) + 3x + 5, domain: all real numbers. (fg)(x) = \(-x^3\) + 9\(x^2\) - 20x, domain: all real numbers. (gf)(x) = \(-x^3\) + 9\(x^2\) - 20x, domain: all real numbers.

The functions f(x) = 5 - x and g(x) = \(x^2\) - 4x are given. We need to find f+g, f-g, fg, and f/g, as well as determine their domains.

To find (f+g)(x), we simply add the functions f(x) and g(x):

(f+g)(x) = f(x) + g(x) = (5 - x) + (\(x^2\) - 4x) =\(x^2\)- 5x + 5.

The domain of (f+g)(x) is the intersection of the domains of f(x) and g(x), which is the set of all real numbers.

To find (f-g)(x), we subtract the function g(x) from f(x):

(f-g)(x) = f(x) - g(x) = (5 - x) - (\(x^2\) - 4x) = \(-x^2\) + 3x + 5.

The domain of (f-g)(x) is also the set of all real numbers.

To find (fg)(x), we multiply the functions f(x) and g(x):

(fg)(x) = f(x) * g(x) = (5 - x) * (\(x^2\) - 4x) = \(-x^3\) + 9\(x^2\) - 20x.

The domain of (fg)(x) is the same as the domain of g(x), which is the set of all real numbers.

To find (gf)(x), we multiply the functions g(x) and f(x):

(gf)(x) = g(x) * f(x) = (\(x^2\) - 4x) * (5 - x) = \(-x^3\) + 9\(x^2\) - 20x.

The domain of (gf)(x) is the same as the domain of f(x), which is the set of all real numbers.

In summary,

(f+g)(x) =\(x^2\)- 5x + 5, domain: all real numbers.

(f-g)(x) = \(-x^2\) + 3x + 5, domain: all real numbers.

(fg)(x) = \(-x^3\) + 9\(x^2\) - 20x, domain: all real numbers.

(gf)(x) = \(-x^3\)+ 9\(x^2\) - 20x, domain: all real numbers.

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Answer:The solution is in the attached file

Step-by-step explanation:

Step-by-step explanation:

EL ÁNGULO DE LA LINEA HORIZONTAL ES 0° EL ÁNGULO DE LA LINEA

VERTICAL ES 90° Y EL ÁNGULO DE LA LINEA DE ENMEDIO ES 3=° CON

RESPECTO A LA VERTICAL. ES DECIR 55° CON RESPECTO A LA

HORIZOANTAL, PERO ESTÁ ESCRITO 5x!, ENTONCES

5x° = 55°

DESPEJA x

x = 55°/5° = 11

For the given matrix, Cartesian products to elements is verified,

(a) (1,2)

A X A: This set contains all possible ordered pairs where x is a member of set A and y is also a member of set A. The element (1,2) does not belong to this set because 1 is a member of set A, but 2 is not.

B X A: This set contains all possible ordered pairs where x is a member of set B and y is a member of set A. The element (1,2) does not belong to this set because 2 is a member of set B, but 1 is not.

A X B: This set contains all possible ordered pairs where x is a member of set A and y is a member of set B. The element (1,2) belongs to this set because 1 is a member of set A and 2 is a member of set B.

B X B: This set contains all possible ordered pairs where x is a member of set B and y is also a member of set B. The element (1,2) does not belong to this set because 1 is not a member of set B.

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If the correlation between the response variable and the explanatory variables is sufficiently low, the adjusted R-squared may be close to or lower than zero.

Adjusted R-squared is a statistical measure that assesses the goodness of fit of a regression model. It adjusts the R-squared value to account for the number of predictors (explanatory variables) in the model.

Adjusted R-squared takes into consideration the sample size and the complexity of the model, penalizing the inclusion of unnecessary predictors.

R-squared represents the proportion of the variance in the response variable that can be explained by the predictors. It ranges from 0 to 1, with higher values indicating a better fit. However, R-squared can be inflated by including irrelevant or weak predictors in the model.

When the correlation between the response variable and the explanatory variables is low, it suggests that the predictors are not strongly related to the response variable.

In this case, the model may not provide a good fit to the data, and the R-squared value may be low. Adjusted R-squared takes into account the low correlation and the number of predictors, and it can be close to or even lower than zero.

A low or negative adjusted R-squared indicates that the model does not explain much of the variation in the response variable and may not be useful for making predictions or drawing conclusions.

It suggests that there may be other factors or variables that are more relevant in explaining the variation in the response variable.

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A positive credit history is crucial for accessing credit, securing favorable terms, expanding financial opportunities, and building a solid foundation for future financial endeavors.

Having a positive credit history is important for several reasons. First and foremost, it allows individuals to access credit and loans at favorable terms.

Lenders use credit history as a measure of an individual's creditworthiness and ability to repay borrowed money.

A positive credit history demonstrates responsible financial behavior, such as making payments on time and managing debt effectively, making lenders more likely to approve credit applications and offer lower interest rates.

Additionally, a positive credit history can enhance one's financial opportunities. It can make it easier to secure housing by demonstrating reliability in meeting financial obligations.

Landlords often review credit histories to assess the likelihood of timely rent payments. Similarly, employers, especially those in the financial sector, may consider credit history when making hiring decisions, as it can be indicative of an individual's level of responsibility and integrity.

Furthermore, a positive credit history enables individuals to build a solid foundation for future financial goals. It establishes a track record of responsible financial management, making it easier to qualify for larger loans, such as mortgages or business loans when needed.

Good credit can also lead to higher credit limits, which can provide flexibility in managing unexpected expenses or seizing investment opportunities.

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When he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.

The length of the side of the base is 90 ft. Its speed is 24 ft/s.

Let x = distance he has run at time t and

D = distance from second base at time t, then speed dx/dt = 24 and we calculate dD/dt where x = 45.

From Pythagorean Theorem,

\(D^{2} =(90-x)^{2} +90^{2}\) ,

differentiating with respect to t

2D*dD/dt = 2 (90 − x) (−1) dx/dt + 0

D*dD/dt = − (90 − x)dx/dt

Now, when x = 45,

D =\(\sqrt{(90-45)^{2}+90^{2} }\)

\(=\sqrt{45^{2}+90^{2} }\)

by substituting D we get,

\(\sqrt{45^{2}+90^{2} }\)dD/dt = − (90 − 45) · 24

dD/dt = −45 · 24/\(\sqrt{45^{2}+90^{2} }\)

= −10.73 ft/s

Hence, when he is halfway to the first base, the distance between the second base and the distance is decreasing at the rate of about 10.73 ft/s.

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The volume of the cylinder is approximately 853.0 cubic inches.

To find the volume of a cylinder, you need to use the formula V = πr²h, where V is the volume, π (pi) is a mathematical constant approximately equal to 3.14, r is the radius, and h is the height of the cylinder.

In this problem, the radius is given as 3.5 inches and the height is given as 22 inches. Plugging these values into the formula, we get:

V = π(3.5)²(22)

V = 3.14(3.5)²(22)

V = 3.14(12.25)(22)

V = 853.03

Rounding this answer to the nearest tenth, we get V ≈ 853.0 cubic inches.

Therefore, the volume of the cylinder is approximately 853.0 cubic inches.

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The values of a,b,c,d for \(2x^3-6x^2-36x=2x(ax+b)(cx+d)\) are given by 1, -6, 1, 3 respectively.

Given the equation is,

\(2x^3-6x^2-36x=2x(ax+b)(cx+d)\)

factorizing the left hand expression we get,

\(2x^3-6x^2-36x\\=2x(x^2-3x-18)\\=2x(x^2-6x+3x-18)\\=2x[x(x-6)+3(x-6)]\\=2x(x+3)(x-6)\)

So, 2x(x-6)(x+3) = 2x(ax+b)(cx+d)

So, a=1, c=1, b= - 6, d=3

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answer: B

Step-by-step explanation: I Took the k12 quiz. please give a good rating.

Answer:665L

B

Step-by-step explanation:

Answer:

The answer u selected is correct

Step-by-step explanation:

Sorry for the delay