Graph ​ f(x)=(x−2)(x−6) ​.

Use the parabola tool then choose the vertex followed by one point on the parabola.

Answer:

To calculate how much you will be making in 2 years, given that you earn $2850 per month and your earnings are expected to increase by 6.6% per year, we can follow these steps:

1. Calculate the annual increase: To find the annual increase, we multiply the current earnings by the percentage increase. In this case, the annual increase would be 2850 * 0.066 = $188.10.

2. Calculate the total increase over 2 years: Since the earnings are expected to increase by the same amount each year, we can multiply the annual increase by 2 to get the total increase over 2 years. In this case, the total increase would be 188.10 * 2 = $376.20.

3. Calculate the future earnings: To find the future earnings after 2 years, we add the total increase to the current earnings. In this case, the future earnings would be 2850 + 376.20 = $3226.20.

Therefore, based on the given information, you can expect to be making approximately $3226.20 in 2 years.

If you earn $2850 per month with an annual increase of 6.6%, in two years you will be making approximately $3239.40 per month.

If you are currently earning $2850 per month and expect your earnings to increase by 6.6% each year, then to calculate your earnings in 2 years, we need to take into account the compound interest formula which can be applied to salary growth as well. The formula to calculate the future value after a certain number of years is:

Future Value = Present Value x (1 + Rate of Increase)Number of Years

In this case, your Present Value is $2850, the Rate of Increase is 6.6% (expressed as a decimal, which is 0.066), and the Number of Years is 2.

Calculate the earnings for the first year: $2850 x (1 + 0.066) = $3038.10.

Then calculate the earnings for the second year: $3038.10 x (1 + 0.066) = approximately $3239.40.

Therefore, in two years, you would be making approximately $3239.40 per month.

Answer:

12 and 8

Step-by-step explanation:

the difference is 4 if you do 12-8=4

the product sum is 96 which is 12*8=96

Answer:

12 and 8

Step-by-step explanation:

Let the numbers be x  and y

x - y = 4 ................(1)

xy = 96 ..................(2)

From equation 1

x = 4+y ..............(3)

Put x = 4+ y into equation 2

y(4+y) = 96

y² +4y = 96

y² + 4y - 96 = 0

Solve quadratically using factorisation method

y² + 12y - 8y - 96 =0

y(y+12) - 8 ( y + 12) = 0

(y +12)(y -8) = 0

y = -12 or 8

When y = -12

x = 4+y = 4-12 = -8

When y= 8

x = 4+y = 4+8 =12

Numbers are 12 and 8  or -8 and -12

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Average speed of the entire journey is 3.08 km/hr

Step-by-step explanation:

Distance = Speed × Time = 4 × 2.5 = 10 km

Distance = 2.5 × 4 = 10 km

Average Speed = Total distance/Total time

                          = 10 + 10/2.5 + 4 = 20/6.5

                          = 3.08 km/hr

Answer:

Part 1) [tex]y=3\ units[/tex]

Part 2) The length of the hypotenuse is 6 units

Step-by-step explanation:

Part 1) we know that

In the right triangle of the figure

[tex]sin(60^o)=\frac{y}{2\sqrt{3}}[/tex] ----> by SOH (opposite side divided by the hypotenuse)

solve for y

[tex]y=sin(60^o)2\sqrt{3}[/tex]

Remember that

[tex]sin(60^o)=\frac{\sqrt{3}}{2}[/tex]

substitute

[tex]y=(\frac{\sqrt{3}}{2})2\sqrt{3}[/tex]

[tex]y=3\ units[/tex]

Part 2)

Let

h ----> the length of the hypotenuse

we know that

In the right triangle of the figure

[tex]sin(45^o)=\frac{3\sqrt{2}}{h}[/tex] ----> by SOH (opposite side divided by the hypotenuse)

[tex]h=\frac{3\sqrt{2}}{sin(45^o)}[/tex]

Remember that

[tex]sin(45^o)=\frac{\sqrt{2}}{2}[/tex]

substitute

[tex]h=3\sqrt{2}:\frac{\sqrt{2}}{2}[/tex]

[tex]h=6\ units[/tex]

Answer:

y = -6x + 3

Step-by-step explanation:

y = 3/4(-12x+4) + 1/2(6x)

y = -9x + 3 + 3x

y = -6x + 3

If this answer is correct, please make me Brainliest!

Answer:

16x

Step-by-step explanation:

its basically saying (2x)x(8x) which would equal 16x

Answer: 10x

Step-by-step explanation:

Sum of 2x and 8x means the addition of 2x and 8x

Written as 2x + 8x= 10x

Answer:

W = 77

L = 98

Step-by-step explanation:

Question a:

Area of a rectangular field = 7392

Length L = 96

Width w = ?

Area of a rectangle = L x W

7392 = 96 x W

Divide both sides by 96

7392/96 = 96/96 x w

77 = w

W = 77

Question b:

Perimeter of a rectangular painting = 372

Width = 88

Length = ?

Perimeter of a rectangle =

2(L + w)

372 = 2(L + 88)

Distribute 2 into (L + 88)

We have

372 = 2 x L + 2 x 88

372 = 2L + 176

Subtract 176 from both sides

372 - 176 = 2L + 176 - 176

196 = 2L

Divide both sides by 2

196/2 = 2L/2

98 = L

L = 98

Answer:

e = 30

Step-by-step explanation:

Since 114 and the adjacent angle are supplementary, that means they add up to 180.

114 + x - 114 = 180 - 114

x = 66

Now, solve inside the triangle which adds up to 180.

54 + 66 + 2e = 180

120 + 2e - 120 = 180 - 120

2e / 2 = 60 / 2

e = 30

Answer:  e = 30

Answer:

6046.56

Step-by-step explanation:

1938+4%=2015.52*3=6046.56

Answer:

I think in a function of f(x) P is also another variable like P is the price then Q is the quantity.

Step-by-step explanation:

[tex]Tan^2x= \frac{C -A}{(B-C)}[/tex]

Step-by-step explanation:

Here we have  , Acos²theta + Bsin²theta = C or , [tex]Acos^2theta + Bsin^2theta = C[/tex]

Let theta = x , So  [tex]Acos^2x + Bsin^2x = C[/tex] . Let's solve it further

⇒  [tex]Acos^2x + Bsin^2x = C[/tex]

⇒  [tex]\frac{Acos^2x}{cos^2x} + \frac{Bsin^2x}{cos^2x} = \frac{C}{cos^2x}[/tex]

⇒  [tex]A + B(\frac{sin^2x}{cos^2x}) = C\frac{1}{cos^2x}[/tex]            { [tex]\frac{sin^2x}{cos^2x} = Tan^2x , \frac{1}{cos^2x} = sec^2x[/tex]  }

⇒  [tex]A + B(Tan^2x) = C(sec^2x)[/tex]     {  [tex]sec^2x=1+Tan^2x[/tex]  }

⇒  [tex]A + B(Tan^2x) = C( 1+Tan^2x )[/tex]

⇒  [tex]A + B(Tan^2x) = C+C(Tan^2x )[/tex]

⇒  [tex]B(Tan^2x)-C(Tan^2x ) = C -A[/tex]

⇒  [tex](B-C)(Tan^2x)= C -A[/tex]

⇒  [tex]Tan^2x= \frac{C -A}{(B-C)}[/tex]

Therefore ,  [tex]Tan^2x= \frac{C -A}{(B-C)}[/tex] .

Answer:

w = 4

Step-by-step explanation:

Since the figure is a parallelogram, we know that opposite sides must be equivalent. That means that JK = HI. So w + 29 must equal 9w - 3.

Once the problem is set up, it looks like: w + 29 = 9w -3.

Now you have to try to get the variables on one side. To do that, subtract 29 from both sides: w = 9w - 32.

Now subtract 9w from both sides: -8w = -32

Divide both sides by -1 to make them positive: 8w = 32

And divide both sides by 8 to find the value of w: w = 4

Hope this helps!

Answer:

12 - 4

Step-by-step explanation:

Answer:

i think the answer is x = -7/12 or in decimal form x = -0.583, the 3 is repeating.

Step-by-step explanation:

Slope is 20/3 or 6.67

Step-by-step explanation:

⇒ m = (80 - 40)/(12 - 6)

       = 40/6 = 20/3 or 6.67

To solve the equation, we can set up the equation as '5x - 5 = 3x + 7' and solve for x using algebraic manipulations.

Let's solve this equation step by step. Let's assume that the number we are looking for is 'x'.

According to the question, 'five times a certain number, minus 5' can be represented as 5x - 5. And 'seven more than three times the number' can be represented as 3x + 7.

So, we can write the equation as 5x - 5 = 3x + 7. Now, let's solve for x.

Subtract 3x from both sides: 5x - 3x - 5 = 3x - 3x + 7.

Simplify: 2x - 5 = 7.

Add 5 to both sides: 2x - 5 + 5 = 7 + 5.

Simplify: 2x = 12.

Divide both sides by 2: 2x/2 = 12/2.

Simplify: x = 6.

Therefore, the solution to the equation is x = 6.

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Answer: the reasonable estimate is (1.1, -1.9)

Step-by-step explanation: in solving simultenous equations graphically the answer is choosing by tracing the intercept of the two lines

Answer:

the reasonable estimate is (1.1, -1.9)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

ALL YOU HAVE TO DO IS PUT THE NUMBERS IN ORDER THEN FIND THE MIDDLE NUMBER

Answer:

median = 11.5 . first quartile = 9.5 , third quartile = 14.5

Step-by-step explanation:

9,9,9,10,11,11,12,13,14,15,16,17

since there is an even number (12)

we can divide by 2

12 /2

= 6th position and 7th position

= 11 + 12

= 23 / 2 = 11.5

is also known as the lower quartile is half of the median position

6/2 = 3rd position and 7/2 = 3.5th position  

9 + 10 = 19

19 / 2 = 9.5

also known as upper quartile

is the position of median + position of lower quartile

= 6 +3 = 9th position and 7 +3 = 10th position

= 14 + 15 = 29

29/2 = 14.5

Answer:

its d (0,0)

Step-by-step explanation:

just figured it out.

Solution:

Given that,

A type of bacteria has a very high exponential growth rate of 80% every hour

There are 10 bacteria

The increasing function is given as:

[tex]y = a(1+r)^t[/tex]

Where,

y is future value

a is initial value

r is growth rate

t is time period

From given,

a = 10

[tex]r = 80 \5 = \frac{80}{100} = 0.8[/tex]

Determine how many will be in 5 hours

Substitute t = 5

[tex]y = 10(1 + 0.8)^5\\\\y = 10(1.8)^5\\\\y = 10 \times 18.89568\\\\y \approx 188.96[/tex]

y = 189

Thus, there are 189 bacteria in 5 hours

Determine how many will be in 1 day ?

1 day = 24 hours

Substitute t = 24

[tex]y = 10(1 + 0.8)^{24}\\\\y = 10(1.8)^{24}\\\\y = 10 \times 1338258.84\\\\y = 13382588.45\\\\y \approx 13382588[/tex]

Thus, there are 13382588 bacteria in 1 day

Determine how many will be in 1 week

1 week = 168

Substitute t = 168

[tex]y = 10(1 + 0.8)^{168}\\\\y = 10(1.8)^{168}[/tex]

Thus there are [tex]10(1.8)^{168}[/tex] bacteria in 1 week

Final answer:

The probability that Ichiro has Art on Friday, given that he has already had Library on Monday and the subjects are assigned randomly, is 1/6 or approximately 16.67%.

Explanation:

The subject of this question is Probability. Ichiro has Library on Monday, and since he cannot have the same special subject more than once in a week, there are six subjects left to schedule from Tuesday to Friday. The special subjects are considered to be assigned randomly.

To determine the probability that Ichiro has Art on Friday, we need to consider there are four days left in the school week (Tuesday to Friday) after Monday. Since the subjects are assigned randomly, each of the remaining subjects has an equal chance of being assigned to any day. By the time we get to Friday, there will be only one subject left unassigned, which has a 1 out of 6 chance of being Art, as the remaining subjects are randomly assigned to the days preceding.

The probability that Ichiro has Art on Friday is therefore 1/6, or approximately 16.67%

Answer:

it is an Isosceles triangle

Step-by-step explanation:

because it has two side the same and the other one is different

Answer

isosceles triangle

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Rate of change = Slope (if Sidelength = x, and perimeter= y)

(1,4) and (2,8) are point (if it was a line)

Use the slope formula...

(8-4)/(2-1)=

4/1=

4

Polygons are closed, two-dimensional shapes with straight, fully connected sides.  Figure A, Figure B, Figure C are polygons.

To determine which figures are polygons, we must understand that a polygon is a closed, two-dimensional shape with straight sides that are fully connected at each endpoint.

There should be at least two or more straight sides in a polygon.

Figure A: It is a polygon as it has more than two sides and is closed.

Figure B: It is also a polygon as it has 6 sides and angles and is also closed in shape.

Figure C: It is not a polygon as it does not have straight line more than two, it is closed but it contains curved line.

Figure D: It is polygon as it contains straight lines and is closed.

Answer:

x = 9   y = 27

Step-by-step explanation:

Since the two polygons are similar, we know that they are proportionate to each other. If we divide the values of corresponding sides:

16 ÷ 12 = 1 ¹/₃

32 ÷ 24 = 1 ¹/₃

We now know that the figure on the left is 1 ¹/₃ times the figure on the right. With this information, we can figure out the measurements of the two sides and then find the values of x and y.

6 · 1 ¹/₃ = 8

21 · 1 ¹/₃ = 28

Now that we know the values of each side, we can plug our equations in to find the values of x and y.

x - 1 = 8

x = 9

y + 1 = 28

y = 27

~Hope this helps!~

Answer:

its 1/7

Step-by-step explanation:

i took the quiz

Answer:

3

Step-by-step explanation:

375/5 = 75

75/5 = 15

15/5 = 3

....  Basically you are dividing each term by 5 until you reach 3.... the most simplified version of this equation.

The next (i.e the 4th) term of the geometric sequence: 375, 75, 15​ is 3

This is a sequence which have common ratio between each term. It is represented as

Tₙ = arⁿ¯¹

Where

a is the first term

r is the common ratio

n is the number of term

Tₙ is the nth term

Tₙ = arⁿ¯¹

T₄ = 375 × 0.2⁴¯¹

T₄ = 375 × 0.2³

T₄ = 3

Learn more about geometric sequence:

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Answer: the answer 27

Step-by-step explanation:

look at the word area you have to multipy the question

Answer:

36cm²

Step-by-step explanation:

remaining part length = 9cm - 3cm

= 6cm

Therefore area of remaining part which is a square = length × length

= 6cm × 6cm

= 36cm²

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Answer:30

Step-by-step explanation:

100-70