A. 20% increase
B. 10% increase
C. 20% decrease
D. 10% decrease

Answer:

The answer for f(2) is 11.

Step-by-step explanation:

f(x) = 3x2 + 2x - 5

f(2) = 3(2)2 + 2(2) - 5

f(2) = 6(2) + 4 - 5

f(2) = 12 + 4 - 5

f(2) = 16 - 5

f(2) = 11

The value of f(2) is 11 and this can be determined by using the arithmetic operations and the given data.

Given :

[tex]\rm f(x) = 3x^2+2x-5[/tex]

The following steps can be used in order to determine the value of f(2):

Step 1 - Write the given function.

[tex]\rm f(x) = 3x^2+2x-5[/tex]

Step 2 - The arithmetic operations can be used in order to determine the value of f(2).

Step 3 - Now, substitute the value of (x = 2) in the given function.

[tex]\rm f(2) = 3(2)^2+2(2)-5[/tex]

Step 4 - Simplify the above expression.

[tex]\rm f(2) = 3\times 4+4-5[/tex]

f(2) = 12 - 1

f(2) = 11

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Answer:

x^2+3x-4

Step-by-step explanation:

x * x - x + 4x - 4

x^2 - x + 4x - 4

x^2 + 3x - 4

=============================================

Explanation:

You can use the FOIL rule to expand out (x+4)(x-1), but here's another way you could do it.

Let y = x+4

This means we replace (x+4) with y to get y(x-1)

Distribute the y term through to get yx-y which can be written as x(y) - 1(y)

After this, replace y with x+4 getting x(x+4)-1(x+4)

Distribute a second time and simplify like so

x(x+4)-1(x+4)

x^2+4x-1x-4

x^2+3x-4

Answer:

25

Step-by-step explanation:

(18+3 x 9 ) – 20

(18+27) – 20

45 – 20

= 25

Answer: 25

Step-by-step explanation:

[18+ 3(28 -19)] - 4 x 5 =

(P E M D A S) parenthesis, exponents, multiplication, division, addition, subtraction

3 x 28 = 84

3 x 19 = 57

84 - 57 = 27

[18 + 27] - 4 x 5 =

45 - 4 x 5 =

4 x 5 = 20

45 - 20 = 25

Answer:

commutative property

Step-by-step explanation:

Answer:

D) |–13| = 13

Step-by-step explanation:

[tex]- |13| = 13 : \mathrm{False}\\\\\mathrm{Simplify\:}-\left|13\right|:\quad -13\\-13=13\\[/tex]

Option B

[tex]\left|13\right|=-13\quad :\quad \mathrm{False}\\\mathrm{Simplify\:}\left|13\right|:\quad 13\\13=-13[/tex]

Option C

[tex]-\left|-13\right|=13\quad :\quad \mathrm{False}\\\mathrm{Simplify\:}-\left|-13\right|:\quad -13\\-13=13[/tex]

Option D

[tex]\left|-13\right|=13 ; True\\\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\\\left|-13\right|=13\\\\13=13[/tex]

Answer:

x = 8

Step-by-step explanation:

x - 8/2 = 4

Follow your order of operations and divide first.

8/2 is 4

x- 4 = 4

Next, isolate the variable by using the additive property of equality.

x - 4 + 4 = 4 + 4

x = 8

Answer:

ok so u do the opposite of 8/2 so do 8*2 which is 16 then add the answer which is 4 which equals 20 so 20- 8/2=4, 20-16=4

Answer: [tex]x=2/5[/tex]  or [tex]x=0.4[/tex]

Simplify the equation to the form

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

Move all terms containing x to the left and all other terms to the right

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

Simplify left and right side of the equation

[tex]10x=+4[/tex]

Divide both sides of the equation by 10 to get x

[tex]10x/10=4/10[/tex]

[tex]x=2/5[/tex] or [tex]x=0.4[/tex]

Answer:

Carrie's two brothers each ate 4 pieces, and the rest of the family ate 14 pieces, there were 10 pieces left.

Step-by-step explanation:

First, change all of the fraction's denominators into 32:

1/8 = 4/32

7/16 = 14/32

This gives us the answer to the first two questions.

Then add up the amount of pieces each person ate. Carrie has two brothers, so we double 4/32, which gives us 8/32. 8/32 + 14/32 =  22/32.

32 - 22 = 10, so there are 10 pieces remaining.

Hope this helps!

Answer:

Carries two brothers ate 4 pieces.

The rest of Carries family ate 14 pieces.

There were 14 pieces remaining.

Step-by-step explanation:

To find out how much the brothers ate you can divide 32 by 8 to get 4. For the family you can turn 7/16 into 32nds

16 x 2 = 32 and 7 x 2 = 14

so the family ate 14 pieces. Add 14 + 4= 18 so that's how much they all ate in total then 32-18 = 14. That means 14 pieces are left.

Hope that helps and have a great day!

Answer: que

Step-by-step explanation:

Answer:

1) Please find attached the distance and speed time graphs

2) Please find attached the distance time tables

3) The fastest runner is Jason, as shown by the topmost line in the graphs

4) On the tables Jason is seen to have covered 400 meters in one minute, while Patti covered 300 meters and Quincy covered  in the same one minute time interval

Step-by-step explanation:

The given speed of the runners are;

The rate at which Patti ran = 300 meters in 60 seconds

The rate at which Jason ran = 500 meters in 1.25 minutes

The rate at which Quincy ran = 600 meters in 2 minutes and 30 seconds

The formula for speed is given as follows;

Speed = Distance ran/(Time to cover the distance)

Therefore, the speed of each of the runners are;

Patti's speed = 300 m/(60 seconds) = 300 m/(1 minute) = 300 m/min

Jason's speed = 500 m/(1.25 minute) = 400 m/min

Quincy's speed = 600 m/(2 minutes and 30 seconds) = 600 m/(2.5 minutes)

∴ Quincy's speed = 240 m/min

Therefore, we have

1) The distance and speed time graphs are attached

2) The distance time tables are attached

3) The fastest runner is Jason, as shown by the topmost line in the graphs

4) The fastest runner is Jason as seen by the covered distance of 400 meters in one minute.

Answer:

Using identify (a+b)(a-b) =a²-b²

Ur answer is (9b-1)(9b+1) =81b²-1

Answer:

5x dollars

Step-by-step explanation:

Five sets at x dollars per set would be 5x dollars.

Answer:

5x

Step-by-step explanation:

Multiply the cost of one set of markers by 5

5x

After 2 years, the population of trout in the lake will be 2000 trout.

Given:

Initial population = 100

Growth rate = 70%

Time= 2 years

After the first year:

Population after 1 year = Initial population + (70% of the initial population)

                                      = 100 + (0.7 * 100)

                                      = 100 + 70

                                      = 170 trout

After the second year:

Population after 2 years = Population after 1 year + (70% of the population after 1 year)

                                       = 170 + (0.7 * 170)

                                       = 170 + 119

                                       = 289 trout

Since the calculated population exceeds this limit, the population will be limited to the maximum capacity of 2000 trout.

Therefore, the population of trout in the lake will be 2000 trout.

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Answer:

19

Step-by-step explanation:

its just addition

Answer:

67

Step-by-step explanation:

its simple baby:)

Answer:

x = 35

Step-by-step explanation:

Answer:

w = 2, z = 7

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ;)

Answer:

Step-by-step explanation:

-5w > 20

w < -4

Answer:

A=19

Step-by-step explanation:

Add 6 to both sides

Answer:

a = 19

Step-by-step explanation:

a - 6 = 13

+6      +6

a = 19

Checked: 19 - 6 = 13

Answer:

A

Step-by-step explanation:

Answer:

Widyh = 8 units

Step-by-step explanation:

Perimeter = 2/width+length)

then:

48 = 2(W+L)

W = L-8

W = Width

L = Length

then:

48 = 2((L-8)+L)

48 = 2(2L88)

48 = 2*2L - 2*8

48 = 4L - 16

48 + 16 = 4L

64 = 4L

L = 64/4

L = 16

W = L-8

W = 16-8

W = 8

Check:

48 = 2(16+8)

48 = 2*24

The constant of proportionality is the slope of the line.

The slope is the change in y over the change in x

Using two pints on the line:

Slope = (3-0) / (1-0) = 3/1 = 3

The answer is 3

Answer:

mean:Total of all numbers divided by the amount of numbers 439/6=73.2

median:72+85=157/2=78.5

mode:85 most frequent figure

Range: difference between the largest number and lowest number

93-46=47

Answer:

≈ or estimate

Step-by-step explanation:

Answer:

average

Step-by-step explanation:

Answer:

The product 12 × 15 in friendlier numbers is (10 + 2) × (10 + 5) = 180

Step-by-step explanation:

The parameter given are;

To 12 × 15 by changing the numbers into friendlier numbers

The product in 12 × 15 written with friendlier numbers (or in a simplified format can be given as follows;

12 × 15 = (10 + 2) × (10 + 5)

Which gives;

(10 + 2) × (10 + 5) = 10² + 10 × 5 + 2 × 10 + 2 × 5

From which we have;

10² + 10 × 5 + 2 × 10 + 2 × 5 = 100 + 50 + 20 + 10 = 180

Therefore;

12 × 15 = 180.

Answer:

10 - B = U

Step-by-step explanation:

U stands for the unopened bottles

for example if they opened 3 bottles it would be 10 - 3 = U (unopened bottles)

The value of U is 7 because the 10 bottles of water minus the 3 bottles they opened it would equal 7.

therefore the equation 10 - B = U shows the amount of unopened bottles

Answer:

(1, 0 )

Step-by-step explanation:

A translation of 5 units left means subtract 5 from the x- coordinate

A translation of 1 unit down means subtract 1 from the y- coordinate, thus

(6, 1 ) → (6 - 5, 1 - 1 ) → (1, 0 )

Answer:

If You have $18, how many $2 items can you purchase?

Answer:

7.7

Step-by-step explanation:

trust me, I solved it out

Answer: The distance between port 3 to port 1 is 7.7 miles.

A rough sketch is attached.

The angle between 3.5 and 6 is = (90 + 15) = 105 degrees.

We will need the law of cosine.

So the distance between port 3 to port 1 is:

[tex]\sqrt{3.5^{2}+6^{2}-2\left(3.5\right)\left(6\right)\cos\left(105\right)}=7.68897911912=7.7[/tex].

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