Got it wrong hehe :)

Answer:

B and D

Step-by-step explanation:

The wording in the answer choices make a huge difference. It is possible implies that there is a possibility

A is false. The range of a function is the output value of the function for the input value in the domain of the function. So we can say with certainty that 7 is in the range since it is an output. But we cannot state that 4 is in the range because we have only one output value 7 for g(4)

A good example is a constant function such as g(x) = 7. Here, whatever the value of x, the y value is always 7. This represents a horizontal line passing through y = 7. So the range is just a single number {7}

B can be true. It is possible but not a certainty that f(a) = 4 for some value of a. For example, consider the function g(x) = x + 3.

At x = 4, g(4) = 4 .1 + 3 = 7

At x = 1, g(1) = 1 + 3 = 4 so it is possible for 4 to be an output

C is false. A well-defined function has only a unique value for a specific input of x. So we cannot get two different values for a single x value.

D is true. Since at x =4, y = g(x) = 7, this corresponds to a point on the graph. The point will be (x=4, y =7) or (4,7)

E is false. The x, y coordinates have been interchanged in this answer choice

The true statements are B and D.

The wording in the answer choices make a huge difference.

It is possible implies that there is a possibility

A. 4 is in the range of g.

A is false.

The range of a function is the output value of the function for the input value in the domain of the function. So we can say with certainty that 7 is in the range since it is an output. But we cannot state that 4 is in the range because we have only one output value 7 for g(4)

A good example is a constant function such as g(x) = 7.

Here, whatever the value of x, the y value is always 7.

This represents a horizontal line passing through y = 7.

So the range is just a single number {7}

B. For a value a, it is possible that g (a) = 4.

B can be true.

It is possible but not a certainty that f(a) = 4 for some value of a.

For example, consider the function g(x) = x + 3.

At x = 4, g(4) = 4 .1 + 3 = 7

At x = 1, g(1) = 1 + 3 = 4 so it is possible for 4 to be an output.

C. For a value y, it is possible that g (4) = y.

C is false.

A well-defined function has only a unique value for a specific input of x. So we cannot get two different values for a single x value.

D. The point (4,7) is on the graph of y = g (x).

D is true.

Since at x =4, y = g(x) = 7, this corresponds to a point on the graph.

The point will be (x=4, y =7) or (4,7)

E. The point (7, 4) is on the graph y = g(x).

False. The statement doesn't provide any information about g(7), and we cannot determine whether the point (7, 4) lies on the graph of the function y = g(x) based solely on the given information.

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The equation of a line perpendicular to the line is y = (-1/2)x - 9

Slope of the line perpendicular to y = 2x - 1, m =-1/2;

Therefore, equation of line perpendicular to given line in slope- intercept form is; y = (-1/2) x + c;

This line passes through (-8, -5); therefore;

-5 = (-1/2)(-8) + c;

c = -9;

Therefore, equation of required line is y = (-1/2)x - 9;

Perpendicular lines are two non-vertical lines in the same plane that intersect at a right angle. Horizontal and vertical lines are perpendicular to one other, forming the coordinate plane's axes. Negative reciprocals are the slopes of two perpendicular lines.

Vertical and horizontal lines are parallel to each other. In this scenario, the slope of the perpendicular line is equal to the slope of a horizontal line, which is 0. The slope of the parallel line is 0 while the slope of the perpendicular line is unknown.

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Answer:for solving equations your trying to get the x by itself so multiplying 1/3 on both sides doesn't eliminate 1 so that you can have 3x by itself

Step-by-step explanation:hope that helps

Answer:

-3

Step-by-step explanation:

Hope this helps!

Answer:

-3

Step-by-step explanation:

if its negative then it will continue to be unless 7 is added into -6. So, adding 3 to that would make it -3

The range the number of clients, y, the company will have after x years of the function will be -∞ ≤ y ≤ ∞

The range of a function is the complete set of possible dependent variable values. While domain is the set of all possible independent values. We can substitute domain to get range.

From the given graph, the line of the equation of the graph is a linear. We can then say that y = - ∞, y = 1 and y = ∞

Y = 1 when x = 0

Therefore, the range of the function will be -∞ to +∞ That is,

-∞ ≤ y ≤ ∞

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Answer:

1,∞ is the answer

Step-by-step explanation:

Betsy needs to  invest $32,000 in the B-rated bonds paying 13% interest and $28,000 in the certificate of deposit paying 3% interest.

Interest is calculated by multiplying the rate with the principal.

Let x = the amount Betsy will invest in the B-rated bonds paying 13% per annum. The remaining amount, $60,000-x , she will invest in the certificate of deposit paying 3% per annum.

We can express the earnings on these two investments, after converting the percentages to their decimal equivalents, as: 0.13x+0.03(60000-x) and this is to earn a total of $5,000

Now we can write the necessary equation to solve for x.

or, 0.13x+0.03(60000-x) = 5000

or, 0.13x+1800-0.03x = 5000

or, 0.1x+1800 = 5000

or, 0.1x = 3200

or, x = 32000

So Betsy needs to invest $32,000 in the B-rated bonds paying 13% interest and the remainder ($60,000-$32,000 = $28,000) in the certificate of deposit paying 3% interest to obtain $5,000 in interest per annum.

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Consider the provided phrase.

Four times the sum of five and a number

Let the number is n and the sum of five and a number can be written as:

[tex]n+5[/tex]

Thus, four times the sum of five and a number can be written as:

[tex]4(n+5)[/tex]

Hence, the required expression is [tex]4(n+5)[/tex].

What is phrase in math?

In mathematics, we may use a phrase to describe an expression. When we describe an expression in words that incorporates a variable, we are doing so by using an algebraic expression. An example of this may be the phrase "greater than" (an expression with a variable).

run the numbers. to conduct a rational analysis of an issue. You can do the math because I was the last person to depart yesterday night and the first person to arrive this morning, and since only the overweight security guy was present. on April 7, 2005, by Dave L. Flag.

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Answer:

Domain: [-2, infinity)

Range: [-4, infinity)

Step-by-step explanation:

There's only one graph I see.

Domain is how far the graph extends on the x axis.

Range is how far the graph extends on the y axis.

Answer:

Neck

Step-by-step explanation:

Which one is closest to your head?

T-T

Answer: Point B will be at (4,-3)

Point C will be (-2,-3)

Point D will be (6,3)

Number of student tickets sold = 84

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

Let the number student tickets sold = x

Let the number adult tickets sold = y

7x+10y = 3888 -----------i

y = 4x-6 ----------------------ii

Substituting eq ii in i

7x + 10 ( 4x -6) = 3888

7x + 40x - 60 = 3888

47x = 3888+60

x = 3948 / 47

     = 84

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Answer:

3.3972 repeating dbbdeebebbbebe

Step-by-step explanation:

wvehhww3g33gg3g33vv3hh333h33hhh3

Answer:

C. not covered by workers' compensation and could recover damages from the employer.

Step-by-step explanation:

Answer:

(n ÷ 4) + 6 = 8

Step-by-step explanation:

Quotient means The answer when you divide' So we are working in the division.

n ÷ 4 is the division part

It says 'and' which can also mean addition. So we add 6. So far our equation is: (n ÷ 4) + 6 (Brackets are needed as we are dividing n by 4 and not dividing n by 4+6)

Lastly it says the answer must be 8 so we add that at the end. So the answer is:

(n ÷ 4) + 6 = 8

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

We know that GE = [tex]x+21[/tex] = [tex]2x+23+9[/tex]

Calculate accordingly!

[tex]x+21=2x+23+9[/tex] ( minus [tex]2x[/tex] and minus 21 )

[tex]x-2x=-21+23+9[/tex]

[tex]-x=11[/tex]

Therefore,

[tex]x=-11[/tex]

( You can test this out by substituting the values )

Answer:

3x+4x-1+x+2=73

8x+1=73

8x=73-1

8x=72

8x/8=72/8

x=9

Perimeter (p) of a triangle:

[tex]p = a + b + c[/tex]

P = 73 units

To find the value of x

[tex]73 = 3x + 4x - 1 + x + 2[/tex]

→[tex]73 = 8x + 1 \\ 73 - 1 = 8x[/tex]

→[tex]8x = 72[/tex]

→[tex] \frac{8x}{8} = \frac{72}{8} [/tex]

[tex]x = 9[/tex]

Answer:

  6 quarts

Step-by-step explanation:

You want to know the number of quarts of 100% antifreeze to add to 6 quarts of 20% antifreeze to make a 60% solution.

Let x represent the number of quarts of 100% antifreeze added to the solution. Then the total amount of antifreeze in the mixture is ...

  20%(6) +100%(x) = 60%(6 +x)

Simplifying the equation, we have ...

  1.2 +x = 3.6 +0.6x

  0.4x = 2.4 . . . . . . . . . subtract 0.6x+1.2 from both sides

  x = 6 . . . . . . . . . . divide by 0.4

6 quarts of pure antifreeze must be added.

Answer:

The total amount of apples sold is 63.  There were 49 red apples and 14 green apples

Step-by-step explanation:

red: green : total

7          2       7+2

7          2          9

When we use the ratios, the total is 9

We are given the total is 63

63 divided by 9 is 7

We need to multiply each number by 7

red: green : total

7*7      2*7       9*7

49       14             63

The total amount of apples sold is 63.  There were 49 red apples and 14 green apples

Answer:

the answer is red apples 49 and green apples 14.

The value for which the ball's height is 28 feet are 0.817sec and 1.683sec using quadratic equations.

What is a quadratic equation?

ax^2 + bx + c = 0

where x represents an unknown, and a, b, and c represent known figures, where a ≠ 0. is still, not quadratic, as there's no ax^2 term,( If a = 0( and b ≠ 0) also the equation is direct.)

Given,

h(0)=6 ft (six)

v(0)=40 ft/sec (fourty)

h(t)=6+40t-16t2 (equation)

for h=28 ft(twenty eight)

28=6+40t-16t2 (equation)

or 16t2 - 40t + 22 = 0 (equation)

or 8t2 - 20t + 11= 0(equation)

on solving the quadratic equation

t=0.817sec and 1.683sec (answer)

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The 48 inches allowable minimum height of a rider and the 52 and 2.5 mean and standard deviation of the height of the children in the camp of 140 campers, by the Z–Score gives the number of campers allowed as approximately 132 campers.

The required height of riders is at least 48 inches.

The mean height of the children = 52 inches

The standard deviation of the children's height = 2.5 inches

The number of campers at the camp, n = 140

Required: The number of the 140 campers that will be allowed on the ride

Solution:

The Z–Score of the allowable campers is found using the equation;

[tex]z = \frac{x - \mu}{ \sigma} [/tex]

Which gives;

[tex]z = \frac{48 - 52}{2.5} = - 1.6[/tex]

From the Z–Score table, the probability (proportion) of a camper's height to be less than 48 inches is P(x < 48) = 0.05480

Therefore;

The probability that the height of a camper is more than 48 inches is given by the equation;

P(x > 48) = 1 - P(x < 48) = 1 - 0.05480

Which gives;

P(x > 48) = 1 - 0.05480 = 0.9452

Which gives;

The number of campers allowed, c, is given by the equation;

c = n × P(x > 48)

c = 140 × 0.9452 = 132.328 ≈ 132

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The Lagrangian is

[tex]L(x,y,\lambda) = x^2 + y^2 - \lambda (x + y - 1)[/tex]

Find its critical points.

[tex]\dfrac{\partial L}{\partial x} = 2x - \lambda = 0 \implies x = \dfrac\lambda2[/tex]

[tex]\dfrac{\partial L}{\partial y} = 2y - \lambda = 0 \implies y = \dfrac\lambda2[/tex]

[tex]\dfrac{\partial L}{\partial\lambda} = -(x+y-1) = 0 \implies x + y = 1[/tex]

From the first two conditions, [tex]x=y[/tex], so

[tex]x + y = 2x = 1 \implies x = y = \dfrac12[/tex]

At the point (1/2, 1/2), compute the Hessian determinant of [tex]f(x,y)[/tex].

[tex]H(x,y) = \begin{bmatrix} \dfrac{\partial^2f}{\partial x^2} & \dfrac{\partial^2f}{\partial x \partial y} \\\\ \dfrac{\partial^2f}{\partial y\partial x} & \dfrac{\partial^2f}{\partial y^2} \end{bmatrix} = \begin{bmatrix}2&0\\0&2\end{bmatrix}[/tex]

[tex]H(x,y)[/tex] is positive definite for all [tex]x,y[/tex], which indeed indicates a local minimum at (1/2, 1/2), so that

[tex]\min\left\{x^2+y^2 \mid x+y=1\right\} = f\left(\dfrac12,\dfrac12\right) = \dfrac14+\dfrac14 = \boxed{\dfrac12}[/tex]

Taking into account the definition of a system of linear equations, the system of equations that could be used to determine the number of games Kadeesha played and the number of rides Kadeesha went on is:

[tex]\left \{ {{2.50G+4.75R=48.75} \atop {G=2R}} \right.[/tex]

where G is the number of games Kadeesha played and R is the number of rides Kadeesha went on.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

On the other hand, you know:

So, the system of equations to be solved is

[tex]\left \{ {{2.50G+4.75R=48.75} \atop {G=2R}} \right.[/tex]

Among the different existing methods to solve the system of equations, it is decided to solve it using the substitution method. This method consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the second equation in the first one you get:

2.50×2R+4.75R=48.75

Solving:

5R+4.75R=48.75

9.75R=48.75

R= 48.75÷ 9.75

R= 5

Remembering that G=2R, you obtain that G=2×5= 10

In summary, the system of equations that could be used to determine the number of games Kadeesha played and the number of rides Kadeesha went on is:

[tex]\left \{ {{2.50G+4.75R=48.75} \atop {G=2R}} \right.[/tex]

where G is the number of games Kadeesha played and R is the number of rides Kadeesha went on.

Finally, the number of games played is 10 while the number of rides she went on is 5.

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The cost to carpet this room area is $2764.8.

What is the area?

Area of room = 32*24 (product is equal to the area of carpet)

Cost of carpet per square foot = $3.6 (three. six)

Cost of carpet = Area of carpet * Cost of carpet per square foot (product)

 = 32 x 24 x 3.6

 = 2764.8

The cost to carpet this room area is $2764.8.

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The graph of the equation (y = x ) is attached below and this can be determined by using the point-slope form of the line.

Given :

A line with a slope of 1 that passes through the point (2,2).

The following steps can be used in order to sketch the graph a line with a slope of 1 that passes through the point (2,2):

Step 1 - First, determine the equation of the line that passes through the point (2,2) and has a slope of 1

Step 2 - Point-slope form can be used in order to determine the equation of a line.

y-y1 = m(x- x1)

where m is the slope and (x1, y1)  is the point on the line.

Step 3 - Substitute the known terms in the above formula.

y-2 = 1(x-2)

Step 4 - Simplify the above equation.

y-2=x-2

x=y

Step 5 - Now, graph the above equation. The graph of the equation

(y = x ) is attached below.

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we don't have enough information to conclude if the triangles are similar, thus, the correct option is C.

Two figures are similar if the figures have the same shape, but different size.

So, one figure is a dilation/contraction of the other figure.

In this case of the triangles, two are similar if and only if all the correspondent internal angles have the same measure.

For the case of the image, the triangles:

RST and RUV

would be similar if and only if line ST and line UV are parallel, in that case we would get that the angles at S and U are equal, and the same for the angles at T and V.

In this particular case, there is no indication that ST and UV are parallel. (they may be, the may not be)

So we don't have enough information to conclude if the triangles are similar, thus, the correct option is C.

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dam n bro uglier den a redneck on a sunday

Step-by-step explanation:

Answer: it would be 18/3 or

Step-by-step explanation:

2/3 x 9 = ?

1) You multiple both numerator and denominator: 2x9 / 3x1 = 18/3

2) Find the GCF ( greatest common factor) for both numbers. Which is

3) Then divide both the numerator and denominator by 3 to simplify to it's lowest term: 18÷3= 6 and 3÷3= 1 which gives a fraction of 6/1 or

Work Shown:

g(x) = x^2 - 4

g(f(x)) = ( f(x) )^2 - 4

g(f(x)) = ( 2x-1 )^2 - 4

g(f(x)) = (2x-1)(2x-1) - 4

g(f(x)) = 4x^2-2x-2x+1 - 4

g(f(x)) = 4x^2 - 4x - 3

The value of the given expression is equivalent to -3

Linear equations are equation that has a linear degree of 1.

The statement three eighths times the quantity 1 plus the square root of 49 end quantity squared minus the quantity four minus one end quantity cubed is written mathematically as:

3/8(1+√49)² - (4-1)³

Expand to have:

3/8(1+7)² - 3³

3/8(8)² -27

3/8(64) - 27

3(8) - 27

24 - 27

-3

Hence the value of the given expression is equivalent to -3

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Answer:

32

Step-by-step explanation:

That is a weird question. Usually questions like that include a variable. Its like saying n = 32. It just gives the answer. Assuming you didn't miss anything, this is the answer.

Answer:

375

Step-by-step explanation:

Let the number of hamburgers sold be x. Then, x-66 cheeseburgers were sold.

[tex]x+x-66=684 \\ \\ 2x=750 \\ \\ x=375[/tex]