Need to work out problem 7

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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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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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

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:

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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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

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.

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

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.

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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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

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 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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Answer:3 8 10

Step-by-step explanation:

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:

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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Answer: 26/33

Step-by-step explanation:

Step-by-step explanation:

app called maple calculator

[tex]\frac{1}{9}[/tex] fraction of the job is left undone.

Any number of equal parts is expressed by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, represents how many components of a suitable size there are when stated in ordinary English. fraction, A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction occurs in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. a week ago.

Given Data

A contractor completed five-ninths of a job before a second contractor completed an additional one-third.

Total work done is 1.

Contractor and second contractor completed:

= [tex]\frac{5}{9}[/tex] + [tex]\frac{1}{3}[/tex]

= [tex]\frac{5+3}{9}[/tex]

= [tex]\frac{8}{9}[/tex]

Total work done = 1

Work left undone:

= 1 - [tex]\frac{8}{9}[/tex]

= [tex]\frac{1}{9}[/tex]

[tex]\frac{1}{9}[/tex] fraction of the job is left undone.

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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

Perimeter Hexagon =      31.99

perimeter Hexagon = AB+BC+CD+DE+EF+FA

AB= [tex]\sqrt{58[/tex] =7.61

BC = 5

CD = 6

DE = [tex]\sqrt{29}[/tex] =5.38

EF =7

FA= 1

∴  perimeter Hexagon =      31.99

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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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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:

so find dots, then count how many sections are beetween them, so you will find lenght of every side and use formula to find area(S=a²+b²).

The value of x for the given equation will be -4.3×10⁻⁶.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Arithmetic operation is used to find the value of x in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that,

186+2947•4194(3.486)x

x=-186/2947•4194(3.486)

x=-4.3×10⁻⁶.

Thus, the value of x for the given equation will be 4.3×10⁻⁶.

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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

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

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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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