Which of the following is equivalent to 249 ?

Answer:

For a polynomial of any degree, with roots x₁, x₂, ...., xₙ and a leading coefficient A, we can write it as:

p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

In this case, we have:

Leading coefficient = -1

Roots : 1, 1 + 73, 1 - 3

Then the polynomial will be:

p(x) = -1*(x - 1)*(x - (1 + 73))*(x - (1 - 3))

      = -1*(x - 1)*(x - 74)*(x + 2)

Now, if the roots are:

1, 1 + 73*i, 1 - 3*i

then:

p(x) = -1*(x - 1)*(x - 1 - 73*i)*(x - 1 + 3*i)

Answer:

The y intercept is (0,-12)

Step-by-step explanation:

You use the slope formula and the slope-intercept form to find the slope m and then the y intercept b.

Answer:

(0, -12)

Step-by-step explanation:

In order to find the y-intercept of the equation y = mx + b ( where m is the slope and b is the y-intercept), we first have to find the slope. We can do this by using the two points given to us.

To find the slope:

The slope is equal to: [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Let's plug (5,8) and (12,36) into the equation:

[tex]\frac{36 - 8}{12 - 5}[/tex]

Now let's solve for the slope:

36 -8 = 28

12 - 5 = 7

So we get: [tex]\frac{28}{7}[/tex]

Now that we've found the value of the slope, we can put it into the equation:

y = [tex]\frac{28}{7}[/tex]x + b

To find the value of b, we can input the values of one of the given points into the equation and solve for b. Let's use (5,8):

Input the values of x and y into the equation:  8 = [tex]\frac{28}{7}[/tex](5) + b

Multiple [tex]\frac{28}{7}[/tex] by 5:  8 = [tex]\frac{140}{7}[/tex] + b

Divide 140 by 7:  8 = 20 + b

Subtract 20 from both sides of the equation to isolate b:  

8 - 20 = 20 - 20 + b

-12 = b

The y-intercept is (0, -12).

Answer:

21

Step-by-step explanation:

Let x = $1 bill

Let y = $5bill

Translating the word problem into an algebraic equation;

For the total number of bills;

[tex] x + y = 47[/tex] .........equation 1

For the total number of tips;

[tex] x + 5y = 131[/tex] ..........equation 2

*Solving the linear equation by using the substitution method*

Making x the subject in equation 1:

[tex] x = 47 - y[/tex] .......equation 3

Substituting "x" into equation 2;

[tex] (47 - y) + 5y = 131 [/tex]

Simplifying the equation, we have;

[tex] 47 + 4y = 131 [/tex]

[tex] 4y = 131 - 47 [/tex]

[tex] 4y = 84 [/tex]

[tex] y = \frac {84}{4} [/tex]

y = 21 (For the $5 bills).

Therefore, Anthony received 21 pieces of the $5 bills.

To find x;

Substituting "y" into equation 3;

[tex] x = 47 - 21[/tex]

x = 26 (For the $1 bill).

The correct way of counting the total number of passenger seats in this bus is: option C: 5 × 12 + 6.

An expression refers to a mathematical equation which is used to show the relationship that exist between two or more numerical quantities.

In order to determine the total number of passenger seats, we would develop an expression that multiplies the rows by the columns and then add the remaining seats as follows:

Total number = (5 × 12) + 6

Total number = 60 + 6

Total number = 66 seats.

Read more on expressions here: brainly.com/question/12189823

#SPJ1

Complete Question:

The top view of a school bus showing the arrangement of the passenger seats is shown below. Which of the following is the correct way of counting the total number of passenger seats in the bus? An explanation is required.

Option A: 3 + 2 × 12 + 6

Option B: 6 - 1 × 13 + 1

Option C: 5 × 12 + 6

Option D: 2 + 3 × 13 - 12

Answer:

Step-by-step explanation:

subtract 9 from both sides

x=3

Answer: x = 3

Step-by-step explanation: x = 12 - 9

Answer:

charles spent $42.75

Step-by-step explanation:

2.85*15+=42.75

Answer:

1,2,3,4,5,6,7,8,9,10

Step-by-step explanation:

;) :)

Answer: x=24

Step-by-step explanation:

easy

question says.

answer is

0.21

Answer:

the answer is 35%

Step-by-step explanation:

Answer:

I'm sure a and b is not irrational. But

Step-by-step explanation:

C and D can be

Use calculator, if the number is not repeating and non recurring, then that can be irrational

Answer: 8784

Step-by-step explanation: Just multiply 366 and 24

Answer:

Therefore, the rise will be 0.95 m

Step-by-step explanation:

As the waterslide has an angle of elevation of 20 degrees.

Ф = 20°

And we have to determine the rise for a run of 2.6 m.

All we need is to use the trigonometric ratio of tan Ф

Because

As

run = 2.6 m

Ф = 20°

so

tan Ф = rise/run

tan (20) = rise/run

rise = tan (20) × 2.6

rise = 0.95 m

Therefore, the rise will be 0.95 m

Answer:

Movies: 30/4 = $7.50/ticket

Concerts: 36.50/5 = $7.30

Concert tickets are $.20 cheaper.

Answer:

Step-by-step explanation:

4 movies tickets are $7.50 per ticket and 5 concert tickets are $7.30 per ticket. The movie tickets are $0.20 more.

Answer:

74

Step-by-step explanation:

Answer:

A= 3/2 B=2/5 C=5/5 (1) D=4/3 E=1/4 F=0 (?)

Step-by-step explanation:

rise over run, otherwise I don't know what you'd be inputting

Answer:

A. 3/2

B. 2/5

C. 1

D. 2

E. 1/4

F. 0

Answer:108 degrees

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

24+48= 72

180-72=108

All three angles are different meaning that the triangle must be a scalene triangle.

Answer:

Step-by-step explanation:

Answer:

Milan will have $1,370 in the account after 17 weeks.

Step-by-step explanation:

S(W) = 350 + 60W

S(17) = 350 + 60*70 = 1370

y=sxw+n

y= 350xw+60

Step-by-step explanation:

so yea

Answer:

A is parallel to c

A is not parallel to b

B is not parallel to c

Step-by-step explanation:

Answer:

a and c are parallel || means parallel

Step-by-step explanation:

Statement.     | Reason

128*+52*=180| Same side exterior Angles

A||c.                 | Same side exterior Angles

138*=128*.       |corresponding angles

B N o|| C         | Corresponding Angles

52*+138*=180*|Corresponding angles

A n o|| B.        | Corresponding Angles

Im from RSM

Answer:

it means hide under your bed and stay thier. math scary

Step-by-step explanation:

Step-by-step explanation:

2x-7y=0 thats what the answer is

Answer:

200

Step-by-step explanation:

So first off, let's find the other side.

651 divided by 7 = 93

93 would be the other side measurement. There are two sides that measure 93 degrees, two sides that measure 7 degrees.

93 + 93 + 7 +7 = perimeter

Once we add up like terms, 200

Answer:

x=3

Step-by-step explanation:

⇒

y

=

3

x

Explanation:

Direct proportionality is defined as:

y

=

α

x

where

α

is some constant that defines the proportionality.

Given

x

=

2

and

y

=

6

, we find:

y

=

α

x

6

=

α

(

2

)

3

=

α

So the relationship here is

y

=

3

x

Answer:

g = -3

Step-by-step explanation:

subtract 6 on both sides

-2g = 6

divide by -2

g = -3

Answer:

G=-3

Step-by-step explanation:

I have used an online algebra calculator to check my answer against and I got the answer g= -3 both times so I am 100% positive that the answer is correct.

PLEASE MARK BRAINLIEST  

Answer:

I believe the answer is D.  

Step-by-step explanation:

22= jeans 8x= 8 dollars PER shirt

All of this has to be less than or equal to $60 because that is all the money she has. I hope this helps!! Please mark me brainliest!!

Answer:

[tex] 22 + 8x \le 60 [/tex]

Step-by-step explanation:

She has at most $60, so the amount she spends is less than or equal to $60.

[tex] amount~she~spends \le 60 [/tex]

The jeans cost $22.

The shirts cost $8 each, so for x shirts, she'll pay 8x.

The total amount she spends is 22 + 8x. It must be less than or equal to 60.

[tex] 22 + 8x \le 60 [/tex]

Answer:

I think the answer may be

X=2

Step-by-step explanation:

x÷3+x=x÷6-1

Add the common factors together to get

2x÷3=x÷6-1

subtract on the right side to get

2x÷3=x÷5

subtract 3 from both sides to get

2x=x÷2

subtract x from both sides to get

1x=2

Answer:

12.

Step-by-step explanation:

to find a ratio, you must add the two numbers in the ratio, (3+5=8) and divide the total by that number (32÷8=4) once that is dine you can multiply the ratio number to find the amount (3×4=12) (5×4=20) so the ratio is 12:20, but the amount of boys is 12.