Using synthetic division, how do you know if a given value is a root of a polynomial function?

Answer:

I believe it is The Multiplication Property of Equality

Step-by-step explanation:

Since "x" is being divided by 6, we need to do the opposite!

Answer:

multiplication

Step-by-step explanation:

since x/6 is a fraction and fractions represent division we would havw to do the opposite to isolate the x variable. pLeAsE mArK bRaInLiEsT

Answer:

the answers 8,just cross multiple and divide.

Step-by-step explanation:

Walk: 1

Bike: 5

y=2x+3

x+2x+3=6

3x+3=6

3x=3

x=1

6-1=5

16g+4

4(4g+1)

49-14h

7(7-2h)

Answer:

Seven students—four girls and three boys—have volunteered to direct the class play. Mrs. Barry decides the only fair way to pick a director is to put all of their names in a hat and draw a name. What is the theoretical probability that a boy's name will be chosen? A. 3/7  B.4/7  C.  7/3   D. 3/4

Step-by-step explanation:

A. 3/7 is right

Answer:

Step-by-step explanation:

25.

 answer is B since it is adding he amount of the bill with the amount of the tip.

 the other 3 will all calculate just the amount of the tip

26

3x-4 needs to equal or be below 8

rearrange the formula to 3x,=8+4

so 3x<=12

12/3 = 4

 so x <= 4 to satisfy the inequality

so answer is A

To calculate the density of an unknown liquid given its mass of 6g and volume of 12.0mL, divide the mass by the volume, resulting in a density of 0.5 g/mL.

To find the density of an unknown liquid with a volume of 12.0mL and a mass of 6g, you need to use the formula for density which is density = mass/volume. Given the mass is 6g and the volume is 12.0mL, you substitute these values into the formula to calculate the density.

Therefore, the calculation would be: density = 6g / 12.0mL = 0.5 g/mL.

This states that the density of the unknown liquid is 0.5 g/mL, which means for every milliliter of this liquid, it weighs 0.5 grams. Understanding the density of a substance can be crucial in identifying it since density is a characteristic property.

The additional piece of information to show that ∆RST∼QSU uses the SAS similarity theorem is <SRT≅<SQU.

The fundamental theorem of similarity states that a line segment divides two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

In this case, the additional piece of information to show that ∆RST∼QSU uses the SAS similarity theorem is <SRT≅<SQU.

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PART A) the initial value of the function is 150 at 0 weeks, that means that there are still 150 songs to be downloaded at the beginning.
The rate of change is -30 songs each week, that is because the amount of songs left to be downloaded decrease by 30 each week.

PART B:
lets use 2 points of the graph p1(0, 150), p2(1, 120)
calculate the slope:
m = (y2- y1)/(x2 - x1) = (120 - 150)/(1 - 0)
m = -30
and now use line equation in form point-slope:
y - y1 = m(x - x1)
y - 150 = -30(x - 0)
y = -30x + 150

2nd picture: for bushels of corn

 Part A, looking at the line in the graph, you can see the line falls on 2 bushes cost $16, 4 bushels cost $31, etc., using that information you can calculate that 1 bushel of corn costs $8, ( 16/2 = 8, 32/4 = 8)

 PART B

 using the table for previous years you can calculate corn cost $6 a bushel ( 12/2=6)

 so corn cost $2 more this year.

The process of transformation under translation means that the figure is simply change into another position. That is, the angles, the lengths or any other characteristic is unchanged except for the position of the figure in the Cartesian coordinate alone.
We are given the function in the form of:

f(x) = x^2

Which can also be written as:

y = x^2

Since the translation made is to move the figure 7 units up, then this means that the y coordinate is increased by 7. The given equation is a parabola pointing up with vertex at (0, 0). So moving it up would move the vertex at point (0, 7). The vertex of y is represented by the variable b, therefore b = 7 which further gives us the function:

y' = x^2 + 7

or

g(x) = x^2 + 7

The inequality that represents the numbers of both kinds of CD players that can be sold to reach or exceed the sales target is:

[tex]\[ 72s + 90p \geq 360 \][/tex]

To write an inequality that represents the sales target, we need to consider the profit made from each type of CD player and the total profit required per day.

Let [tex]\( s \)[/tex] represent the number of standard CD players sold, and [tex]\( p \)[/tex] represent the number of portable CD players sold. According to the information given, the store makes a profit of $72 for every standard CD player and $90 for every portable CD player.

The manager's target is to make at least $360 a day from the sales of these CD players. To find out how many of each type of CD player need to be sold to meet this target, we can set up the following inequality:

[tex]\[ 72s + 90p \geq 360 \][/tex]

Here, [tex]\( 72s \)[/tex] represents the total profit from standard CD players, and [tex]\( 90p \)[/tex] represents the total profit from portable CD players. The sum of these two amounts must be greater than or equal to the target profit of $360.

This inequality accounts for all possible combinations of standard and portable CD players that can be sold to meet or exceed the daily profit target. It is important to note that the inequality uses the  greater than or equal to  symbol [tex](\( \geq \))[/tex] because the store wants to make at least $360, and any amount over that is also acceptable.

You need to look at each term and find the degree by adding the exponents of each variable in it. The largest degree is the degree of the polynomial.

The polynomial has 2 terms, so it's binomial  ← classification 

Answer:

(a) [tex]\text{New Price}=0.96\times \text{Original Price}[/tex]

(b) The new price of car is $43584.

Step-by-step explanation:'

(a)

The original price of car is $45400.

It is given that the car dealership decreased the price of a certain car by 4%.

[tex]\text{New Price}=\text{Original Price}-\frac{4}{100}\times \text{Original Price}[/tex]

[tex]\text{New Price}=(1-\frac{4}{100})\times \text{Original Price}[/tex]

[tex]\text{New Price}=\frac{96}{100}\times \text{Original Price}[/tex]\

[tex]\text{New Price}=0.96\times \text{Original Price}[/tex]

(b)

Using part (a), we get

[tex]\text{New Price}=0.96\times \text{45400}[/tex]

[tex]\text{New Price}=43584[/tex]

Therefore the new price of car is $43584.

The formula for the new price is New Price = 0.96 x 45400, while the value of the new price of the car is $43,584

From the question, we have:

Original price = $45,400

Rate decreased = 4%

The new price would be calculated using:

New Price = (1 - Rate) x Original price.

So, we have:

New Price = (1 - 4%) x Original price

Express the percentage as decimal

New Price = (1 - 0.04) x Original price.

So, we have:

New Price = 0.96 x 45400

In (a), we have:

New Price = 0.96 x 45400

Evaluate

New Price = 43584

Hence, the new price of the car is $43,584

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The triangle with side lengths of 32, 60, and 68 is a right triangle is true.

A triangle is a three-sided polygon that consists of three edges and three vertices.

We can use the Pythagorean theorem to check if a triangle with side lengths of 32, 60, and 68 is a right triangle:

a² + b² = c²

where a, b, and c are the side lengths of the triangle and c is the hypotenuse.

Plugging in the values, we get:

32² + 60² = 68²

Simplifying:

1024 + 3600 = 4624

So, the equation holds true, which means that the triangle with side lengths of 32, 60, and 68 is a right triangle.

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