g(x)=4x-7
g(-9)
I need to evaluate the function

Answer:

N = 16

Step-by-step explanation:

[tex]72 \div 9 = N \div 2 \\ \\ \frac{72}{9} = \frac{N}{2} \\ \\ \frac{8}{1} = \frac{N}{2} \\ \\ N = 2 \times 8 \\ \\ \huge \orange{ \boxed{ N = 16}}[/tex]

Answer:

correct answer: a.

Step-by-step explanation:

y = tan2x graph should have right side headed up, because it's positive.

however, the graph's frequency should be changed.

Since the normal period of y = tan x graph is pi/|b|,

the period for this graph should be pi/2.

We can see that graph (a) is meeting all the needs.

Answer:

Let X1 be the number of decorative wood frame doors and X2 be the number of windows.  

The profit earned from selling each door is $500 and the profit earned from selling of each window is $400.  

The Sanderson Manufacturer wants to maximize their profit. So for this model, the objective function is

Max: 500X1 + 400X2

Now the total time available for cutting of door and window are 2400 minutes.  

so the time taken in cutting should be less than or equal to 2400.  

60X1 + 30X2 ≤ 2400  

The total available time for sanding of door and window are 2400 minutes. Therefore, the time taken in sanding will be less than or equal to 2400.   30X1 + 45X2 ≤ 2400  

The total time available for finishing of door and window is 3600 hours. Therefore, the time taken in finishing will be less than or equal to 3600. 30X1 + 60X2 ≤ 3600  

As the number of decorative wood frame door and the number of windows cannot be negative.  

Therefore, X1, X2 ≥ 0

so the question s

a)

The LP mode for this model is;

Max: 500X1 + 400X2  

Subject to:  

60X1 + 30X2 ≤ 2400  

]30X1 +45X2 ≤ 2400  

30X1 + 60X2 ≤ 3600  

X1, X2 ≥ 0  

b) Plot the graph of the LP  

Max: 500X1+ 400X2  

Subject to:  

60X1 + 30X2 ≤ 2400  

30X1 + 45X2 ≤ 2400  

30X1 + 60X2 ≤ 3600

X1,X2  

≥ 0

In the uploaded image of the graph, the shaded region in the graph is the feasible region.  

c) Consider the following corner point's (0,0), (0, 53.33), (20, 40) and (40, 0) of the feasible region from the graph  

At point (0, 0), the objective function,  

500X1 + 400X2 = 500 × 0 + 400 × 0  

= 0

At point (0, 53.33), the value of objective function,

500X1 + 400X2 = 500 × 0 + 400 × 53.33 = 21332  

At point (40, 0), the value of objective function,  

500X1 + 400X2 = 500 × 40 + 400 × 0 = 20000  

At point (20, 40), the value of objective function

500X1 + 400X2 = 500 × 20 + 400 × 40 = 26000  

The maximum value of the objective function is  

26000 at corner point ( 20, 40 )

Hence, the optimal solution of this problem is  

X1 = 20, X2 = 40 and the objective is 26000

Given:

The given equation is

[tex]y-3=(2-x)^2[/tex]

To find:

The vertex, focus, and directrix.

Solution:

The equation of a parabola is

[tex]y-k=a(x-h)^2[/tex]     ...(i)

where, (h,k) is vertex, [tex]\left(h,k+\dfrac{1}{4a}\right)[/tex] and directrix is [tex]y=k-\dfrac{1}{4a}[/tex]

We have,

[tex]y-3=(2-x)^2[/tex]

It can be written as

[tex]y-3=(-(x-2))^2[/tex]

[tex]y-3=(x-2)^2[/tex]    ...(ii)

On comparing (i) and (ii), we get

[tex]h=2,k=3,a=1[/tex]

Vertex of the parabola is (2,3).

[tex]Focus=\left(2,3+\dfrac{1}{4(1)}\right)[/tex]

[tex]Focus=\left(2,3+\dfrac{1}{4}\right)[/tex]

[tex]Focus=\left(2,\dfrac{13}{4}\right)[/tex]

Therefore, the focus of the parabola is [tex]\left(2,\dfrac{13}{4}\right)[/tex].

Directrix of the parabola is

[tex]y=3-\dfrac{1}{4(1)}[/tex]

[tex]y=3-\dfrac{1}{4}[/tex]

[tex]y=\dfrac{11}{4}[/tex]

Therefore, the directrix of the parabola is [tex]y=\dfrac{11}{4}[/tex].

Answer:

0.6 repeated

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Answer:

D/last option

Step-by-step explanation:

Answer:

1)

Minimum is a 4th Degree

2)

Positive; Even

3)

[tex]x=-4, -1\text{ Odd Multiplicity}\\x=3\text{ Even Multiplicity}[/tex]

Step-by-step explanation:

Part 1)

The minimum degree of our function will be 4.

Looking at the graph, we know that the graph crosses the x-axis at -4 and -1. Since it crosses through the x-axis at these two points, these two factors must have an odd multiplicity.

So, it can be anything 1, 3, 5, 7, etc.

However, we will choose the lowest one, 1.

Next, we know that the graph bounces off at 3.

So, it must have an even multiplicity. In other words, 2, 4, 6, 8, etc.

We choose the lowest one, 2.

Therefore, the minimum degree of our function will be 1+1+2 or 4.

Part 2)

The degree of our polynomial is (and will always be) even. Therefore, both ends of the graph will go in the same direction.

Recall the simplest even polynomial, the parent quadratic function. When the leading coefficient is positive, both of the ends go straight up.

This applies to all polynomials with even degrees.

Therefore, since the arms of the graph is going straight up towards positive infinity, the leading coefficient of our graph must be positive.

Part 3)

This is similar to Part 1.

We can see that the graph touches the x-axis at -4, -3, and 1. So, the zeros of the function is: [tex]x=-4, -1, 3[/tex]

We know that it passes through [tex]x=-4 \text{ and } x=-1[/tex] . So, these two factors must have an odd multiplicity.

However, since the graph bounces off [tex]x=3[/tex], this factor must have an even multiplicity.

And we're done!

Answer:

the correct answer is that Screen B is wider, because 5 and one-third is greater than 5.3.

Step-by-step explanation:

E D G E N U I T Y  2020

The Screen B is wider, because 5 and one-third is greater than 5.3.

A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.

According to the question

George is comparing two different phones.

Phone A : screen  has a width of 5.3 cm

Phone B : The width of the screen is 5 and one-third cm.  

i.e

The width of the screen of phone B = [tex]5\frac{1}{3}[/tex] cm

                                                           = [tex]\frac{16}{3}[/tex] cm

Converting it into decimal to compare

                                                           = 5.333 cm

Therefore ,

5.333 cm > 5.3 cm  

i.e Phone B screen > Phone A screen

Hence, Screen B is wider, because 5 and one-third is greater than 5.3.

To know more about decimal here:

https://brainly.com/question/548650

#SPJ3

Answer:

a- A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2.

b- a financial gain, especially the difference between the amount earned and the amount spent in buying, operating, or producing something.

c- income, especially when of a company or organization and of a substantial nature.

d- (of an object or action) require the payment of (a specified sum of money) before it can be acquired or done.

e- The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form.

f- The substitution method is a way of solving a system of equations by expressing the equations in terms of only one variable.

g- The elimination method is where you actually eliminate one of the variables by adding the two equations.

h- Solving one particular problem without regard to related issues.

i- the point or state at which a person or company breaks even.

j- The domain of a function is the complete set of possible values of the independent variable.

k- The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6.

Step-by-step explanation: Please mark brainliest

Answer:

The equation 2x + 3 = x + x + 3 is an example of an equation that has an infinite number of solutions. Let's see what happens when we solve it. We first combine our like terms.

Step-by-step explanation:

pply the Distributive Property. 2. Combine like terms. 3. Add/subtract on both sides. 4. Multiply/divide on both sides. Note: You might not need to do all of these steps! Special Cases – 1. Infinitely many solutions - when solving your equation, you get results like. 0=0, 7=7 ... 3) 5(2x - 7) = 7x + 3x + 7. 4) 4x +2x - 2 = 6x -- 3 + 1

Answer:

option A

I hope it helps

Answer:

the length of BC is 16

Step-by-step explanation:

Answer:

coefficent

Step-by-step explanation:

Answer:   0.09375

Step-by-step explanation:

YEETUS

Answer:

13

Step-by-step explanation:

use the Pythagorean theorem; five squared plus twelve squared is equal to the missing side squared, 25+144=169, the sqrt of 169 is 13

Answer:

F(-6) = 2*(-6) + 1

            5*(-6) -2

= -11  

  -32

=   11    

      32

Answer:

D

Step-by-step explanation:

minus 18 both side, then divide it by -2. If you're going to divide by a negative you switches the sign.

Answer:

The correct options are A and C.

Step-by-step explanation:

A Binomial experiment has the following properties:

If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.

(A)

Selecting five cards, one at a time without replacement, from a standard deck of cards. The random variable is the number of face cards obtained.

X = number of face cards .

There are n = 52 cards in a standard deck of cards.

There are 12 face cards in the standard deck of cards.

The probability of selecting a face card is, [tex]p=\frac{12}{52}=0.231[/tex].

The selection is done without replacement.

Thus, the experiment is a binomial experiment.

(C)

Survey 150 college students to see whether they are enrolled as new students. The random variable represents the number of students enrolled as a new student.

X = number of students enrolled as a new student.

The number of students selected for the survey, n = 150.

Each students response is independent of the others.

Thus, the experiment is a binomial experiment.

Answer:

6x3=x

x=18

Step-by-step explanation: plzz mark brainliest

Answer:

A) 108

Step-by-step explanation:

Use the equation- 180(#of sides minus 2) to find the total degrees in a pentagon.

180(5-2)

180(3)

540- total degrees in a pentagon

540÷5=108-> to find each side (aka measure of z)

Answer:

C

Step-by-step explanation:

2(x+4)-8

2x+8-8

2x

Answer:

C

Step-by-step explanation:

2(x+4) - 8

Use distributive property.

2 [tex]*[/tex] x = 2x.  

2 [tex]*[/tex] 4 = 8.

= 2x + 8 - 8

= 2x

Answer:

47 I think sorry if you get it wrong

A few huge businesses control an industry Answer:

Step-by-step explanation:

Econ

Answer:

32

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the data :

Response time this year :

3.0, 12.0, 7.0, 4.0, 4.0, 6.0, 3.0, 9.0, 11.0, 15.0

Response time last year :

8.0, 7.0, 8.0, 6.0, 6.0, 9.0, 7.0, 9.0, 8.0, 6.0

Let's calculate the mean and standard deviation of each data sample :

Mean(m) = Σ(X) / n

n = sample size = 4

This year:

ΣX = 74 ; n = 10

Mean = 74 /10 = 7. 4

Standard deviation(s) = √(Σ(x - m)²/n - 1)

s = 4.195

Using a calculator to save computation time :Standard deviation = 4.195

LAST YEAR :

ΣX = 74 ; n = 10

Mean = 74 /10 = 7. 4

Standard deviation(s) = √(Σ(x - m)²/n - 1)

Using a calculator to save computation time :Standard deviation = 1.17

a. Does he see a performance variation by the mean?

From the mean value obtained for the two years, both are the same, hence, the value does not signify a variation in performance.

b. Does he see a performance variation by the standard deviation? If he does, is it performance improvement or deterioration from the last year? Why?

Yes, the value of standard deviation are different with the current year having a value of 4.195 and the previous year, a value of 1.17

The variation shows there is a deterioration on this year's performance from last year due to the larger value of standard deviation obtained ; 4.195 > 1.17