Use a graph of a polynomial G(x) to determine its zeros and the multiplicity of each zero. List the zeros from smallest to largest.

The sales in 1995 were approximately 1.8 millions.

Explanation:

Since x = 0 is 1995, x = 1 is 1991 and so on, if we want to find the approximate amount of sales, we need to evaluate the expression for x = 5:

To the nearest tenth, the sales of SUV were approximately 1.8 millions

An inequality that represents all possible combinations of x shirts and y pants is (12.99x + 15.99y) ≤ 125.

Given:

Cost of each shirt = $12.99

Cost of each pant = $15.99

Let's assume the number of shirts is x and the number of pants is y.

Total cost of x shirts = $12.99x

Total cost of y pants = $15.99y

Total cost = $(12.99x+15.99y).

Now, she does not want to spend more than $125 which means she can spend equal to or less than 125 dollars.

An inequality that represents all possible combinations of x shirts and y pants is,

(12.99x + 15.99y) ≤ 125

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Answer first evening she received 130 second evening she received 520 third evening she received 1300  

Step-by-step explanation: that's the right one for shure i worked it out

Substituting y=3 in 4x-5y=-12 we get:

Simplifying the above equation we get:

Adding 15 to the above equation we get:

Finally, dividing the above equation by 4 we get:

Answer: If 4x-5y=-12 and y=3 then:

Answer:

122

Step-by-step explanation:

2+30 =32

32+30=62

62+30=92

Answer:

Use the formula

Step-by-step explanation:

I hope it helps

Answer:

Step-by-step explanation:

−5(−3/9)

Divide

-5x(-1/3)

Multiply

−5x(−1/3)

x 5/3

combine multiple terms into single fraction

5x/3

The greatest common factor between the monomials can be determined as,

Thus, the above expression gives the required greatest common factor.

Answer:

x = 10

Step-by-step explanation:

the angles shown are corresponding angles

corresponding angles are equal

12x - 4 = 10x + 16

subtract 10x from both sides

2x - 4 = 16

add 4 to both sides

2x = 20

divide both sides by 2

x = 10

You have the figurew ABC with the following vertices:

A(-2,-4)

B(0,-1)

C(2,-4)

First, multiply all points by 2 (this is the first transformation)

A => A'(-4,-8)

B => B'(0,-2)

C => C'(4,-8)

Next, translate the previous points 6 units upward (which means add 6 units to each y-coordinate).

A' => X(-4,-2)

B' => Y(0,4)

C' => Z(4,-2)

as you can notice, with the previous transformation you obtain the vertices X, Y, and Z and form the figure XYZ.

Answer: a dilation by  and a translation 

Step-by-step explanation: just did on edge

Step-by-step explanation:

I assume the hours are also in units of 2.

that means in D the distance is -20 miles in 10 hours or

-20 miles / 10 hours = -2 miles / hour

To write the height of Debbie as a fraction of the height of Leo in its simplest form is this: 17/18.

Writing one figure as a fraction of another can be done by representing the figures as numerators and denominators. In this case, what we will have is 85/90. That is the height of Debbie divided by the height of Leo.

To express this fraction in its simplest form will mean dividing the figures until they can no longer be divided. Using 5 as a common factor for dividing, we can conclude that the simplest form of the answer is 17/18.

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Todd sold 26 bunches of flowers on a street corner on Friday afternoon

The selling price of each flower bunch = $2.75

Total money made by Todd on Friday = $71.50

Arithmetic: The foundational subject in mathematics is arithmetic, which covers operations with numbers. These include multiplication, division, addition, and subtraction. One of the crucial branches of mathematics, arithmetic serves as the cornerstone of the field of mathematics.

Finding the number of flower bunches sold by Todd:

Number of bunches sold by Todd = Total money made by Todd/Selling price of each flower bunch

= 71.50/2.75

= 26

Number of bunches sold = 26

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Based on the fact that 150g of syrup are needed when making 8 flapjacks, the quantity that is needed to make 16 flapjacks is 300 g.

The quantity of oats needed to make 8 flapjacks is 150 g.

Assuming direct proportion, the quantity of oats needed to make 16 flapjacks can be found by the formula:

= (Quantity of oats needed for 8 flapjacks x Number of flapjacks to be made) / Number of flapjacks made

Solving for the quantity of oats needed gives:
= (150 x 16) / 8

= 2,400 / 8

= 2,400 x 1/8

= 300 g

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By using basic algebra we get x = 0 and x =[tex]\frac{-26}{9}[/tex]

Algebra is a branch of mathematics that helps translate real-world situations or problems into mathematical truths. Mathematical operations like addition, subtraction, multiplication, and division are needed in addition to variables like x, y, and z to construct a meaningful mathematical expression. All branches of mathematics, such as calculus, trigonometry, and coordinate geometry, employ algebra. A fundamental algebraic equation is 2x + 4 = 8. Algebraic expressions serve as the mathematical statement when operations such as addition, subtraction, multiplication, division, etc. are done on variables and constants.

2x(3x-4)-3x(5x+6)

[tex]6x^{2} -8 -15x^{2} -18x\\-9x^{2} -26x = 0\\9x^{2} +26x = 0\\x(9x +26)=0\\x = 0\\ x = \frac{-26}{9}[/tex]

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Answer:

With the restrictions that 0 or 8 cannot be the leading digit, the leading digit can be one of [1, 2, 3, 4, 5, 6, 7, 9] = 8 choices.

The other six digits can be one of [1, 2, 3, 4, 5, 6, 7, 8, 9, 0] = 10 choices each.

Therefore, there are:

8*10*10*10*10*10*10 = 8*10^6 = 8,000,000 7-digit numbers under the given restrictions.

Step-by-step explanation:

hope this helps

For value 4x³- 6x² + 4 is

If para x = -2

4x³ - 6x² + 4

=4(-2)³ - 6(-2)² + 4

=4(-8) - 6(4) + 4

=-32 - 24 + 4

=-52

If para x = 3

=4x³ - 6x² + 4

=4(3)³ - 6(3)² + 4

=4(27) - 6(9) + 4

=108 - 54 + 4

=58

If para x = 1

4x³ - 6x² + 4

=4(1)³ - 6(1)² + 4

=4 - 6 + 4

=2

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Answer:

53 yards

Step-by-step explanation:

Hello!

The circumference formula of a circle is [tex]C = 2\pi r[/tex], where C is the circumference, and r is the radius.

Given that pi is 3.14, solve for the circumference.

The circumference of the circle is 53.38, but rounded to the nearest whole yard would be 53 yards.

The equation of the line is given as y = -2x + 22. This means that when x  is equal to zero, y = 22. M also shows how steep the line is, being the gradient.

In order to arrive at a logical solution, we must assume the value of the slope as this is not given.

Assuming the slope of the line is -2, we thus can say:

The equation of a line that passes through a point (x₁,y₁) and a slope m is given by

(y - y1) = m (x - x1)

Recall that the slope, m = -2

While
Point (x1, y1) = (7, 8)

Hence, the equation of the line is:

y-8 = (-2) (x-7)

y-8 = -2x + 14

y = -2x+ 14 + 8

Hence,

y = -2x + 22

Thus, the equation of the line is:
y = -2x + 22

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1. Tha rate of return is 11.12%

2. The investor will not be happy in case the market interest rates fall

n is NPER 5 (called back in 5yrs)

Coupon payment / PMT = 1000 * 10% = 100,

Purchase price PV (PV is entered as a negative value) -1000

Called for value is FV Call premium is 7% hence FV = 107% * 1000 = 1070

You can use the RATE function in excel

Rate(nper, PMT, PV,FV, Type)

RATE(5,100,-1000,1070)

= 11.12%

The investor was promised a fixed return rate of 10%, but since the bond was called after 5 years, the actual return was 11.12%, so the investor had good reason to be pleased.

In the event that market interest rates decline, the investor will not be pleased because, had the bond not been called, he would have continued to receive his fixed 10% coupon payments of $100 per year.

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The value of x= 1.2 and the value of y = -1.6

Given two equations

[tex]4x-2y=8[/tex]

[tex]3x+y=2[/tex]

Since there are two equations and two unknowns we can solve the equations by arithmetical methods.

Initially multiply second equation by 2 and add it it to first equation.

[tex]3x+2y=2[/tex] × 2

[tex]6x+2y=4[/tex]

Now adding this to equation 1

[tex]4x-2y=8 + 6x+2y=4[/tex]

[tex]10x=12[/tex]

[tex]x=1.2[/tex]

To get y value substitute x value in any of the equation

[tex]4(1.2)-2y=8[/tex]

[tex]-2y = 3.2[/tex]

[tex]y = -1.6[/tex]

Therefore x and y values are 1.2 and [tex]-1.6[/tex] respectively.

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Answer:

-7ab-4a+4

Step-by-step explanation:

simplify the expression

hope this helped

have a great day ^^

The most appropriate form of midpoint of line segment will be given by-

Coordinate of midpoint of AB =  ([tex]\frac{1}{2}, -\frac{5}{2}[/tex])

What is midpoint of a line segment?

At first, it is important to know about section formula. Let the coordinate of end point of a line segment is ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex]) respectively. Let another line intersects the line in the ratio m : n. Coordinate of point of intersection =[tex](\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m + n})[/tex].

If m = n =1, we get the coordinate of midpoint.

Coordinate of midpoint = [tex](\frac{x_1+y_1}{2}, \frac{x_2, y_2}{2})[/tex]

Midpoint of a line segment is that point which is equidistant from both the end points.

Here,

Coordinate of A = (-1, -9)

Coordinate of B = (2, 4)

Coordinate of midpoint of AB = ( [tex]\frac{-1 + 2}{2}, \frac{-9 + 4}{2}[/tex])

                                                 = ([tex]\frac{1}{2}, -\frac{5}{2}[/tex])

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The total frequency of the particular 5 classes (67, 68, 69, 70, and 71) will be 19.

So, the frequency for 5 classes:

The total frequency of these particular 5 classes will be:

Therefore, the total frequency of the particular 5 classes (67, 68, 69, 70, and 71) will be 19.

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The probability is 6/70.

What is probability ?

probability is concerning about numerical description  is how likely is an event is occur or how likely it is true.

Sol-

way will be selecting 84 out of eight since representative so 84 which is equal to at 70. And we need that we since we are things. There are two things representing the regions, so the four selected sales representatives are from only two off the regions. So if we select to sales representative from the two regions while we select de o sales representative from the other two regions, so four is it to selected from the four and to select from the two region and to select from two regions on day zero selected from the two regions and they're selected from the two regions. So is equal to four factorial over two factorial, two factorial times two factorial over to Victoria, zero factorial times too times Sorry, that was two factorial over to factory a factory times two factorial zero factorial two factorial which is equal to six for the

Thus,

probability is 6/70 which is equal toe open toe eight 57.

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P(A) =Probability of heads

P(B) = Probability of tails

P(B)= 1 - P(A) = 1 - 58 = 42%

The events are independent, so, let's assume that we flip the coin and the first two results are heads, so:

P(A) =0.58

Now, let's assume the last two results are tails so:

P(B) = 0.42

Therefore:

Answer: 26/33

Step-by-step explanation:

Step-by-step explanation:

app called maple calculator

Answer:3 8 10

Step-by-step explanation:

For the coordinates and their weights, the weight average is 5

The given parameters are:

Coordinate 3 has a weight of 1

Coordinate 6 has a weight of 2

The weight average is then calculated as:

Weight average = Sum of (Weight * Coordinate)/Sum of Weights

Substitute the known values in the above equation

So, we have the following equation

Weight average = (3 * 1 + 6 * 2)/(1 + 2)

Evaluate the product in the above equation

So, we have the following equation

Weight average = (3 + 12)/(1 + 2)

Evaluate the sum in the above equation

So, we have the following equation

Weight average = (15)/(3)

Evaluate the quotient in the above equation

So, we have the following equation

Weight average = 5

Hence, the weight average of the coordinates is 5

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Complete question

The coordinate 3 has a weight of 1 , and the coordinate 6 has a weight of 2 .

Find the weighted average.

The revenue is at a maximum after x = 9

The maximum is $ 261

9 hearing aids are produced and sold.

The revenue, R(x), of producing and selling 'x' Awesome Hearing Aids is modeled by the function,

R(x) = -3x² + 56x

We need to find the number of hearing aids produced and sold in order to maximize the revenue.

We use the differentiation method to find the maximum of the function R(x).

Differentiate R(x) with respect to x and equate it with 0,

R'(x) = -6x + 56

Then, -6x + 56 = 0

⇒ 6x = 56

⇒ x = 56/6 = 9.33 ≈ 9  [since x is the number of hearing aids]

Now we find the second derivative of R(x) at x = 9.

R''(x) = -6

⇒ R''(9) = -6 < 0

Since R''(9) < 0, the revenue R(x) is maximum at x = 9.

So the maximum revenue is obtained after x = 9.

Therefore maximum revenue = R(9) = -3 x 9²+56 x 9 = $ 261

Hearing aids produced and sold in order to maximize the revenue = 9

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