f(x)= x^2 + 6x + 8

g(x)= x+2

(f+g)(x)=

(f-g)(x)=

(f•g)(x)=

(f/g)(x)=

Answer:

A = $19,908.59

Step-by-step explanation:

Compound Interest

Compound interest occurs when the interest earned in a given period is reinvested rather than paying it out. The interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

[tex]{\displaystyle A=P\left(1+{\frac {r}{k}}\right)^{kt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

k = number of times interest applied per time period

t = number of time periods elapsed

We are given the following data:

P = $12,000

r = 7.5% = 7.5/100 = 0.075

t = 7

k = 1 since there is only on compounding per year.

Applying the formula:

[tex]{\displaystyle A=\$12,000\left(1+{\frac {0.075}{1}}\right)^{7}}[/tex]

[tex]{\displaystyle A=\$12,000\left(1.075\right)^{7}}[/tex]

A = $19,908.59

Answer:

oehfinefnefikvds

Step-by-step explanation:

okokokoko

Answer:

n = A/P - 1

Step-by-step explanation:

1st step: subtract P from each side to get A/P = 1+n

2nd step: subtract 1 from each side to get the answer above

Answer:

option A is the answer

Step-by-step explanation:

............

Answer:

2[tex]\frac{1}{3}[/tex]x5=11[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

5x2=10

[tex]\frac{1}{3}[/tex]x5=[tex]\frac{5}{3}[/tex]

[tex]\frac{5}{3}[/tex]=1[tex]\frac{2}{3}[/tex]

10+1[tex]\frac{2}{3}[/tex]=11[tex]\frac{2}{3}[/tex]

Answer: B. From time 6 to 10, he was at his slowest.

Step-by-step explanation: I just took the same quiz so HURRY!!!

Answer:

b

Step-by-step explanation:

Answer:

The one greatest common factor of 36, 90, 108 is 18.

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

bro ok this it ok okik

Answer:

5/6

5 out of 6

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

He can get 2 3/16 pounds of honey if he divides the honey into 2/5 - pound portions.

7/8 / 2/5= 7/8 x 5/2= 35/16= 2 3/16 pounds of honey into 2/5 pound portions

via. google

Hope this helps dude

Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions: Option C.

Given the following data:

To determine the statement which shows the quotient and gives the most likely explanation of what Tom was trying to calculate:

Translating the word sentence into an algebraic expression, we have;

7 over 8 divided by 2 over 5:

[tex]\frac{7}{8}\; \div \; \frac{2}{5}[/tex]

Applying the basic law of division for fractions, we have:

[tex]Quotient = \frac{7}{8}\; \times \; \frac{5}{2}\\\\Quotient =\frac{35}{16}[/tex]

Simplifying further, we have:

[tex]Quotient =\frac{35}{16} = 2\frac{3}{16}[/tex]

Therefore, Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions.

Read more on quotient here: https://brainly.com/question/3702921

Answer:

196.48m²

Step-by-step explanation:

AREA OF THE PICTURE = AREA OF TRIANGLE + AREA OF SEMI CIRCLE

Length of base of the triangle = 16m

Length of perpendicular height of triangle = 12m

Area of triangle = [tex]\frac{1}{2} *16*12 = 96m^{2}[/tex]

Length of diameter of semi-circle = 16m

Length of radius of semi-circle = [tex]\frac{16}{2} =8m[/tex]

Area of semi circle = [tex]\frac{\pi 8^{2}}{2} = \frac{64 * 3.14}{2} =\frac{200.96}{2} =100.48m^{2}[/tex]

AREA OF THE FIGURE = 100.48 + 96 = 196.48m²

Note: your answer options suggest as if your actual question was

y = -4x - 9 instead of y = -x-9

But, anyways I am solving with respect to both equations

Answer:

Please check the explanation.

Step-by-step explanation:

IN CASE YOUR EQUATION ⇒ y = -x - 9

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the line

[tex]y = -x-9[/tex]

comparing with the slope-intercept form (y = mx+b) of the line

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -1

perpendicular slope = – 1/m = -1/-1 = 1

Thus the slope of this  perpendicular line will be:  1

IN CASE YOUR EQUATION ⇒ y = -4x - 9

Given the line

[tex]y = -4x - 9[/tex]

comparing with the slope-intercept form (y = mx+b) of the line

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -4

perpendicular slope = – 1/4 = -1/-4 = 4

Thus the slope of this  perpendicular line will be: 4

Answer:

5/9

Step-by-step explanation:

5/9 is 0.5 recurring

Answer: the maximum is at (3,4)

Step-by-step explanation:

is it me or is the photo not showing?

Answer:

no photo lol

Step-by-step explanation:

Answer:

the answer is 36+14/25=36.56

Answer: the graph is incorrect

Step-by-step explanation:

The graph should be headed towards the left (the negative x side) because x is negative

Answer:

The graph is not correct, because it is a positive graph. It answers the equation y= x, and Franco said it was y= -x. His line would be negative, and this graph is positive.

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Because first you divide 160 by 4 (100-20=80, 80/100 simplified is 4/5) and you get 40. Then you multiply 40 by 5 and you get 200. Their are many ways to solve it. I personally think this is the easiest.

HOPE THIS HELPS

Answer:

Step-by-step explanation:

2x-10=4x

-10=4x-2x

-10=2x

-10÷2=x

-5=x

Answer:

The answer is Y = - (22)/(7 )

Step-by-step explanation:

The parenthesis do not mean anything write 22/7 as a fraction.. why did you report my answer so rude

Answer:

-2/5

Step-by-step explanation:

-4/5  ÷ 2  

-4 /5 ×  1 /2

-4 × 1

5 × 2

-4 /10

-4 ÷ 2

10 ÷ 2  

–2 /5

Answer:

the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]

Step-by-step explanation:

We need to transform [tex]f(x)=\sqrt{x}[/tex] into g(x) using following translations

1) reflection in the x-axis

The reflection across x-axis will be:

[tex]g(x)=-\sqrt{x}[/tex]

2) Horizontal shrink by a factor of 1/3

The horizontal shrink by a factor of 1/3 will make the function g(x)

[tex]g(x)=-\sqrt{\frac{1}{3} x}[/tex]

3) Vertical translation up 2 units

The vertical translation up 2 units will make the function g(x)

[tex]g(x)=-\sqrt{\frac{1}{3} x}+2[/tex]

So, the transformed function will be: [tex]\mathbf{g(x)=-\sqrt{\frac{1}{3} x}+2}[/tex]

Answer:

D 100% d

Step-by-step explanation:

Answer:

The question is incomplete...

Step-by-step explanation:

This is another way of saying "the graph of g(x) is 4 times taller compared to f(x)".

Recall that anything of the form g(x) = k*f(x) will basically stretch f(x) vertically by a factor of k, where k is any real number. This is because y = f(x) and k*f(x) will move the y coordinate k times further away. For 4*f(x), the y coordinate is moved 4 times further away. Do this for every point, and you'll have the vertical stretch mentioned earlier.

Answer:

y = -2x + 5

Step-by-step explanation:

To find the slope, you need to pick two points and put into the slope formula.  It doesn't matter which ones, you will get the right answer regardless.  I used (-3, 11) and (2, 1).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2[/tex]

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form.  You will also need to plug one of the given points.  Again, it doesn't matter which one.

[tex]y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5[/tex]

Answer:

No

Step-by-step explanation:

I dont think rational numbers can be negative. Also the values are not repeating.

Answer:

[tex]35\%[/tex] represents the sample proportion of the population

Step-by-step explanation:

From the question we are told that

   The sample size is  n  = 947

   The proportion of the population that believes that the Yankees will miss the playoffs this year is    [tex]k = 35\% = 0.35[/tex]

From the question we are told the confidence level is  97%

   The lower limit of the confidence level is a = 28%

    The upper limit of the  b = 42%

Generally the sample proportion of this population is mathematically represented as

         [tex]\^ p = \frac{a+ b}{2}[/tex]

=>      [tex]\^ p = \frac{28 + 42 }{2}[/tex]

=>      [tex]\^ p = 35\%[/tex]

Hence  [tex]35\%[/tex] represents the sample proportion

Answer:

65 reaminder  85  

Step-by-step explanation:

u divided it and theres a big remainder so i did the two first reinders i found