Identify the simplest polynomial function that has the given zeros
-2,4,5
P(x) = x³ - 7x² + 2x + 40
P(x) = x³ + 7x² - 2x - 40
P(x) = x³ - 7x² + 2x - 40
P(x) =x^3+7x² - 2x + 40

The equation of the circle is given by (C) (x-3)² + (y + 4)² = 9

All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant. The radius of a circle is the separation between any point on the circle and its center.

The equation of the circle in the general form is given by the

(x-a)²+(y-b)²=r²

Where (a,b) is the co-ordinates of the center of the circle and the radius is r.

Now the center of the circle is given at (3,-4) and the radius is r.

We know that the general equation of a circle is  [tex]{\displaystyle (x-a)^{2}+(y-b)^{2}=r^{2}}[/tex]

Substituting the values in the equation we get:

(x-3)²+(y-(-4))²=(3)²

or, (x-3)²+(y+4)²=9

Hence the equation of the circle is (x-3)² + (y + 4)² = 9.

To learn more about circle visit:

https://brainly.com/question/23799314

#SPJ9

Answer:

18

Step-by-step explanation:

24/4=6

6 times 3 is 18

Hope It Helps

Sorry If I'm Wrong

Answer:

(120,122), (150,152), (200,202), (210,212)

Step-by-step explanation:

just add two to the number of students

a) The total cost of being on the team is; $1192

b) Ralph average cost is; $119.20

c)  The standard deviation of the distribution of his 10 weekly paychecks is; $0

We are given the costs of the travel team as listed below;

Uniform - $67.00

Registration - $50.00

Tournaments -$775.00

Travel - $300.00

a) To find the total cost of being on the team, we will simply add all the individual costs as given to get;

Total Cost = 67 + 50 + 775 + 300

Total Cost = $1192

b) If Ralph takes a summer job and works 10 weeks over the summer, then his average cost is;

Average Cost = 1192/10

Average Cost = $119.20

c) If he is paid at a flat rate of exactly q dollars each week, the standard deviation of the distribution of his 10 weekly paychecks is;

$0

Read more about Total Cost at; https://brainly.com/question/25109150

#SPJ1

Answer:

Step-by-step explanation:

first one is wrong and I don’t know the answer yet

The maximum profit the company can make given these constraints is; $1360

We are given that;

Its dealers demand at least 30 skateboards per day and 20 pairs of in-line skates per day. The factory can make at most 60 skateboards and 40 pairs of in-line skates per day. The total number of skateboards and pairs of in-line skates cannot exceed 90. The profit of each skateboard is $12 and the profit on each pair of in-line skates is $19

Thus, the inequalities are as follows;

Let x represent number of skateboards

Let y represent in-line skates

Thus;

x ≥ 30

y ≥ 20

x ≤ 60

y ≤ 40

x + y ≤ 90

y ≤  -x + 90

f(x, y) = 12x + 19y

At (30, 20), f(30, 20) = 12(30) + 19(20) = $740

At (30, 40), f(30, 40) = 12(30) + 19(40) = $1120

At (50, 40), f(50, 40) = 12(50) + 19(40) = $1360

At (60, 20), f(60, 20) = 12(60) + 19(20) = $1100

At (60, 30), f(60,30) =  12(60) + 19(30) = $1290

Thus, the maximum profit the company can make given these constraints is; $1360

Read more about Linear Programming at; https://brainly.com/question/14309521

#SPJ1

Answer:

commutative property of addition

Step-by-step explanation:

the commutative property is when you switch the order of numbers in an addition or multiplication operation

Answer:

Whats the question?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the approximate distance between the points is

√25+25 = 5√2

=7.07

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

|8|+|-7|=

8+7=15      ==> anything inside the absolute value symbol is always positive.

Answer: 8+7

The | | symbol means how far it is from 0 on the number line. -7 is still only 7 away from 0. Now, if you have -|8|, you apply that - to the 8, so then it's -8.

Answer: 165 Celcius

I used a Farheinit to Celcius calculator :)

From the following compound inequalities, all the compound inequalities have a solution.

What is compound inequality?

A compound inequality is a type of inequality that comprises two basic inequalities.

From the given information, we have:

3x-7 ≤ 5x + 5 and -4x +8 < 5x - 1

-2x+9>4x+3 and-8x-9 < -7x-3

-2(x-9) < 3(x+4) and -4(x-1) > -5(x-2)

3x+1 < 5x+7 and -2x+5 ≤ -5x -10

To determine the compound inequality with no solution, we need to solve each of the inequalities.

1.

3x-7 ≤ 5x + 5 and -4x +8 < 5x - 1

Collect like terms

-7-5 ≤ 5x-3x and 8+1 < 5x+4x

-12 ≤ 2x and 9 <9x

x ≥ -6 and x > 1 (has a solution)

2. -2x+9>4x+3 and-8x-9 < -7x-3

Collect like terms

9-3 > 4x+2x and -9+3 < 8x-7x

6 > 6x and -6 < x

x< 1 and x < -6 (has a solution)

3.

-2(x-9) < 3(x+4) and -4(x-1) > -5(x-2)

Open brackets

= -2x +18 < 3x + 12 and -4x + 4 > -5x +10

Collect like terms

= 2x + 3x > 18 - 12 and 5x-4x > 10 -4

=  5x < 6 and x > 6

= x > 6/5 and x > 6  (has a solution)

4.

3x+1 < 5x+7 and -2x+5 ≤ -5x -10

1-7 < 5x-3x and 5x -2x ≤ -10 +2

-6 < 2x and 3x ≤ -8

x > -3 and x ≤ -8/3 ( has a solution)

Therefore, no compound inequalities has no solution.

Learn more about compound inequality here:

brainly.com/question/7070563

#SPJ1

Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

the correct option is D:

" The inverse relation must pass the vertical line test."

Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.

All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.

From this we conclude that the correct option is D:

" The inverse relation must pass the vertical line test."

If you want to learn more about functions:

https://brainly.com/question/2328150

#SPJ1

Answer:

In order of operations

Step-by-step explanation:

==> [tex]\frac{2}{7} \cdot 53 \cdot {7}{2} \\53 \cdot \frac{2}{7} \cdot {7}{2} \\[/tex]  
Commutative property of multiplication : With multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer. [tex]a \cdot b \cdot c = b \cdot a\cdot c[/tex]

==> [tex]53 \cdot 1[/tex]  
Multiplicative Inverse : A number multiplied by its reciprocal equals

1 : [tex]\frac{a}{b}\cdot\frac{b}{a} = 1[/tex]

==> 53

Multiplicative Identity: Multiplying a number by 1 leaves the number unchanged: [tex]a\cdot1 = a[/tex]

A die is thrown 600 times and the results are:

1) There is indication of the die being biased.

2) It becomes evident number 3 is landed 181 times and number 4 is landed 31 times, whilst we would expect about 100 outcomes for each number.

3) Probabilities

4) The theoretical probability is same for each number:

Answer:

Associative Property of Multiplication

Step-by-step explanation:

The direct variation is -27/7.

y=27/7 when x= 7

Y= -9 when x = 3 and y varies directly with x which can be written as y directly proportional to x.

[tex]x_{1} /x_{2}[/tex] = [tex]y_{1} /y_{2}[/tex]

3/7 = -9/y2

y2 = - 27/7

A variation is a connection between a set of values for one variable and a different set of values. If m is a nonzero constant and b = 0, the equation y = mx + b yields the function y = mx (often written y = kx), which is known as a direct variation.

The calculus of variations is a branch of mathematical analysis which finds maxima and minima of functionals: mappings from a set of functions to the real numbers. Variations are minor changes in functions and functionals.

To learn more about variation from the given link:

brainly.com/question/14254277

#SPJ9

Answer:

If you ran for 27 minutes at 6 miles per hour, you would have run 2.7 miles.

Step-by-step explanation:

The Step-by-step explanation is, 6 miles per hour = 1 mile per 10 minutes. Therefore in 27 minutes, you would have run 2.7 miles (27 minutes / 10 minutes = 2.7 miles).

Answer:

8/5

Step-by-step explanation:

The number that makes the statement is -5.8 + 6.8 = 1 > 0 so, the statement is -5.8 + 6.8 = a positive number is true statement.

The number that makes the statement is,

Based on given conditions , formulate,

-5.8+ _     = a positive number

Let us assume,

We can take positive number is '1'

Then, we can write,

⇒ 1 - (-5.8)

We can negative sign and negative signs are shows to positive sign,

⇒ 1 + 5.8

We can sum or difference in the product,

⇒ 6.8

Hence,

⇒ -5.8 + 6.8

⇒ 1

So, 1 is positive number.

Then,  -5.8 + 6.8 = 1 > 0

Therefore, The number that makes the statement is -5.8 + 6.8 = 1 > 0 so,

-5.8 + 6.8 = a positive number.

To learn more about visit Fractions :

brainly.com/question/20435423

#SPJ1

Solving a linear equation, we will see that 109 attendees did not visit the concession stand.

How to find the number of attendees who did not visit the concession stand?

First, we know that the total number of surveyed people is 680.

Of these 680, we know that:

Now, the 3 numbers above should add up to the total number of surveyed people.

527 + 44 + x = 680

Solving that linear equation for x:

x = 680 - 527 - 44 = 109

We conclude that the number of attendees who did not visit the concession stand is 109.