Determine which three out of the six points shown below are a solution to the equation 3x+y=-3.3x+y=−3. Plot the three points that are in the solution set, draw a line through the three points and then answer the questions below. (-3, 6)(-4, 9)(-5, 0)(2, -3)(3, 0)(1, -6) i need help asap please

Answer:

d

Step-by-step explanation:

The sun is the primary source because without it there will be nothing like renewable or nonrenewable energy

The polynomial is a quadratic function, and the completely factored expression of 2x^2 - 9x + 7 is (2x -7)(x - 1)

The polynomial expression is given as:

2x^2 - 9x + 7

Expand

2x^2 - 9x + 7 = 2x^2- 2x - 7x + 7

Factorize the above expansion

2x^2 - 9x + 7 = 2x(x - 1) - 7(x - 1)

Factor out x - 1

2x^2 - 9x + 7 = (2x -7)(x - 1)

Hence, the completely factored expression of 2x^2 - 9x + 7 is (2x -7)(x - 1)

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Answer:

Step-by-step explanation:

The solution is the point x which makes f(x) = g(x).

Look at the table to identify same f and g values:

The corresponding x- coordinate is:

So the solution is

Answer: 0

Step-by-step explanation: Natural numbers are your

counting numbers and they're always positive.

Since 0 is not a positive number,

it's not include within the set of natural numbers.

Answer: 0

Step-by-step explanation:

Answer:

The graph is in the pic

Step-by-step explanation:

The probability that Joe will pass the test is 100%.

From the information, Joe hasn't studied for the final test in his statistics class, but he does have some background, so he's sure he can get the right answer about 60% of the time.

Therefore, if there are 100 multiple choice questions, and the lowest passing score is 60%, the probability that Joe will pass is 100%. This is because he usually has a 60% passing rate and this tallies with the lowest percentage needed to pass.

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Answer:

6/24.

Step-by-step explanation:

24 = 4 * 6 so we:

multiply by 6/6:

1 * 6

------  =    6 / 24.

4 * 6

Answer:

Step-by-step explanation:

The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

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Answer:

11

Step-by-step explanation:

Substituting the values of x, y, and z into the expression, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.

Answer:

11

Step-by-step explanation:

if x = 2, y = 3, and z = 4.

2x²-y + 2(z-1)

Substituting the given values of x, y, and z, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.

BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).

\( - 13 = \frac{w}{9} - 6 \\ - 13 + 6 = \frac{w}{9} \\ - 7 = \frac{w}{9} \\ w = - 63\)

so only -63 is the solution, the rest three are NOT solution for this equation.

Answer:

A) Q,7,X,Y is repetitive

B) Y

C) Y

D) mosh taye2

Step-by-step explanation:

Q,7,X,Y keeps on repeating

Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.

Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

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Step-by-step explanation:

If x = 3 :

x³ ÷ 3 = y

3³ ÷ 3 = y

27 ÷ 3 = y

y = 27 ÷ 3 = 9

For the given parabola, the parts on the curve should be labeled as follows;

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using the following mathematical expression:

Axis of symmetry, Xmax = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = y = x², we have the following:

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(0)/2(1)

Axis of symmetry, Xmax = 0/1 = 0.

Vertex (h, k) = (0, 0).

In conclusion, the domain of this quadratic function f(x) = y = x² are all the x-values that are located on the x-axis of the graph, which include {-∞, ∞} or all real numbers.

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Answer:

k

Step-by-step explanation:

(f∘g)(x) is equivalent to f(g(x)). We solve this problem just as we solve f(x). But since it asks us to find out f(g(x)), in f(x), each time we encounter x, we replace it with g(x).

In the above problem, f(x)=x+3.

Therefore, f(g(x))=g(x)+3.

⇒(f∘g)(x)=2x−7+3

⇒(f∘g)(x)=2x−4

Basically, write the g(x) equation where you see the x in the f(x) equation.

f∘g(x)=(g(x))+3 Replace g(x) with the equation

f∘g(x)=(2x−7)+3

f∘g(x)=2x−7+3 we just took away the parentheses

f∘g(x)=2x−4 Because the −7+3=4

This is it

g∘f(x) would be the other way around

g∘f(x)=2(x+3)−7

now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them.

g∘f(x)=2x+6−7

Next, +6−7=−1

g∘f(x)=2x−1

Its a lts easier than you think!

Hope this helped

The expression for given function (f + g)(x) can be obtained by using the property as (f + g)(x) = 3x - 7.

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

The given functions are f(x) = x - 3 and g(x) = 2x - 4.

In order to obtain (f + g)(x) use the property as below,

Add the given functions as,

(f + g)(x) = f(x) + g(x)

⇒ (f + g)(x) = x - 3 + 2x - 4

⇒ 3x - 7

Hence, the required value of the function (f + g)(x) is obtained as 3x - 7.

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Answer:

1.575

Step-by-step explanation:

Answer:

Emily because Lindsay is at the movies so she can't ride the Ferris Wheel. Janelle is too afraid to go that high. Emily only doesn't like caramel apples so she can still go on the Ferris Wheel.

Answer:

Emily

Step-by-step explanation:

The third person riding on the ferris wheel is Emily. why? well Lindsey is at the movies so she can't be at the carnival riding the ferris weel, Janelle is afraid of heights so their is no way she would ride the ferris wheel, but Emily just doesn't like Carmel apples which would not stop her from riding the ferris wheel.

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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The length of the diameter of the sphere is 30 cm.

The surface area of a sphere is given by the formula:

\(A = 4\pi r^2\)

where A is the surface area and r is the radius of the sphere.

We are given that the surface area of the sphere is 900π cubic cm. Therefore:

\(A = 4\pi r^2 = 900\pi\)

Dividing both sides by 4π, we get:

\(r^2 = 225\)

Taking the square root of both sides, we get:

r = 15

The diameter of the sphere is twice the radius, so:

d = 2r = 30

Therefore, the length of the diameter of the sphere is 30 cm.

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Answer:

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

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Answer:

  KE = 100 J

Step-by-step explanation:

The question is asking you to use the formula with the values ...

  m = 8 kg . . . . . this 'm' stands for mass

  v = 5 m/s . . . .  this 'm' stands for meters

Putting these values into the formula, we have ...

  KE = 1/2(8 kg)(5 m/s)² = 100 kg·m²/s²

The units are equivalent to the derived SI unit "joules", abbreviated J.

The kinetic energy of the 8 kg mass is 100 J.

Answer:

x≤20

Step-by-step explanation:

x+5≤25

 -5.  -5

x≤20

Hopes this helps please mark brainliest

Answer:

The answer is B

Step-by-step explanation:

20+5=25 and x can be greater than or equal to 25

Answer:

f(x) = 15 (3) ^x

Step-by-step explanation:

The form of an exponential function is

y = a b^x

a is the initial value  so a = 15

y = 15 b^x

b > 1 when there is growth so

f(x) = 15 (3) ^x

Answer:

9n= 63

n=7

Step-by-step explanation:

hope this helps, good luck. :)))

brainliest ?? :)))

Based on the statement sixty-three is the product of nine and a number, the equation will be 9n = 63.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between.

WE have been given that sixty-three is the product of nine and a number, Use n for the variable.

We need to find the statement into an equation.

The equation in this case will be as follows;

9n = 63

n = 63/9

n = 7

Therefore, the equation is 9n = 63 and the value of n is 7.

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On solving the Power equals Current times voltage as an equation we get power is P = VI

A mathematical equation is a fοrmula that joins twο statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is knοwn as an equation in algebra. For instance, in the equatiοn 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the twο sentences οn either side of a letter is described by a mathematical fοrmula. Often, there is only οne variable, which also serves as the symbol. fοr instance, 2x – 4 = 2.

Given to write

Power equals current times voltage

in mathematical equation, i.e.

P = V × I

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a) The probability that the alarm is activated is approximately 0.021

b) The probability that the component actually failed given that the alarm is activated is approximately 0.047

(a) To calculate the probability that the alarm is activated, we can use the law of total probability, which states that the probability of an event can be calculated by summing the probabilities of all possible ways that the event can occur. Using the probabilities given in the problem, we have:

P(alarm is activated) = P(component fails and alarm is activated) + P(component does not fail and alarm is activated)

= P(component fails) × P(alarm is activated given component fails) + P(component does not fail) × P(alarm is activated given component does not fail)

= 0.001 × 0.99 + 0.999 × 0.02

= 0.02097

Therefore, the probability is 0.021

(b) To determine the probability that the component actually failed given that the alarm is activated, we can use Bayes' theorem, which relates the conditional probabilities of two events. Specifically, we want to calculate the probability of the component failing given that the alarm is activated, which can be written as:

P(component fails | alarm is activated) = P(alarm is activated | component fails) × P(component fails) / P(alarm is activated)

We already know the values of P(alarm is activated | component fails) and P(component fails) from part (a). To calculate P(alarm is activated), we can use the law of total probability as before:

P(alarm is activated) = P(component fails) × P(alarm is activated given component fails) + P(component does not fail) × P(alarm is activated given component does not fail)

= 0.001 × 0.99 + 0.999 × 0.02

= 0.02097

Substituting all the values into Bayes' theorem, we get:

P(component fails | alarm is activated) = 0.99 × 0.001 / 0.02097

≈ 0.047

Therefore, the probability is 0.047

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