What is the interval of increase f(x)=3x^2-6x

Answer:

22

Step-by-step explanation:

1.) -2²-9(-2)

2.) -2(-2)+18

3.) 4+18

4.) 22

Answer:

5 / 648

Step-by-step explanation:

Given tbe sample space for a pair of dice attached below :

Sample space for a pair of dice = 6² = 36

Rolling a 3 first :

Recall, probability = required outcome / Total possible outcomes

P(rolling a 3). = 2 / 36 = 1 /18

Probability of rolling a 6 (second roll)

P(rolling a 6) = 5 / 36

Hence,

P(3) then P(6) ;

1 / 18 * 5/36 = 5 / 648

answer is C. 252 ft^2

split the figure into two pieces and first figure out the rectangle (shown in turquoise).

If you multiply the width and length (18*6) you should get 108.

Then figure out the trapezoid (in magenta). the formula is (a+b)/2*h where a and b are the bases and h is the height. the bases are given, 6 and 18. to find the height, subtract the entire figure's height by 6, which is 18-6 and gives us 12. so the formula converted to this problem is (6+18)/2*12. simplify parenthesis and get 24/2*12. 24/2=12, so multiply 12*12. The area of the trapezoid is 144. Add the areas of both figures together and get 252.

Answer:

its b b b

Step-by-step explanation:

Answer:

2 StartRoot 5 EndRoot + 2 StartRoot 17 EndRoot units

Step-by-step explanation:

The perimeter of the parallelogram is expressed as

Perimeter = WX + XY + YZ + WZ

Using the distance formula;

WX = √(0-(-1))²+(4-0)²

WX = √1²+4²

WX = √17

For XY:

XY = √(-2-(0))²+(3-4)²

XY = √(-2)²+(-1)²

XY = √4+1

XY = √5

For YZ:

YZ = √(-2+3))²+(3+1)²

YZ = √(1)²+(4)²

YZ = √1+16

YZ = √17

For WZ;

WZ = √(-3+1)²+(-1-0)²

WZ = √(-2)²+(-1)²

WZ = √4+1

WZ = √5

Perimeter = √17+√5+√17+√5

Perimeter = 2√17 + 2√5 units

Answer:

B

Step-by-step explanation:

An equation in terms of r which models the situation described is : 100r² = 10r² + 90r - 337.50

First investment :

Luke:

Total amount had = $100

Amount invested = $10

Amount left = $100 - $10 = $90

Return = r times the amount invested = (10 × r) = 10r

Owen:

Total amount had = $100

Amount invested = $100

Return = r times the amount invested = (100 × r) = 100r

Second investment :

Luke :

Amount invested = Return on first + amount left = 10r + 90

Return is r times the amount invested :

Return on second investment = (10r + 90) × r = (10r² + 90r)

Total amount earned after both investment = 10r² + 90r

Owen :

Amount invested = Return on first = 100r

Return is r times the amount invested :

Return on second investment = (100r × r) = 100r²

Total amount earned after both investment = 100r²

Owen made 337.50 more than Luke ; This means that :

Total earned by Owen = Total earned by Luke + 337.50

100r² = 10r² + 90r + 337.50

Hence, the equation in terms of r is : 100r² = 10r² + 90r - 337.50

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Answer:

So, Tim spent maximum $ 18 dollars on other things

Step-by-step explanation:

Total spent per day is less than $ 30.

Money spent on food= $ 12

So, the maximum amount amount spent on the things is

= $ 30 - $ 12 = $ 18

So, Tim spent maximum $ 18 dollars on other things.

Answer:

B, (-4,0)

Step-by-step explanation:

2(4x - 2y = -16)       8x - 4y = -32

   8x - 4y = -32

+  -3x + 4y = 12

  5x  = -20

x = -4

4(-4) - 2y = -16

-16 - 2y = -16

-2y = 0

y = 0

Answer:

ayan po answer nasa picture

Answer:

3

Step-by-step explanation:

9½=√9=3

ie. a number to the power of ½ is the same as the square root of the number

Answer:

x = 10

Step-by-step explanation:

Mathematically, the sum of the interior angles of a triangle is 180

Thus, we have it that;

55 + 45 + (5x + 30) = 180

100 + 5x + 30 = 180

5x = 180-30-100

5x = 50

x = 50/5

x = 10

Answer:

hope it will be helpful to you

Answer:

..have a great day ahahahahah

Answer:

(-2, -3/5) IS THE CORRECT ANSWER

Step-by-step explanation:

The vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).

To find the vertex of the quadratic function in the form y = ax² + bx + c, we can use the formula:

x = -b / (2a)

y = f(x) = ax² + bx + c

For the given function y = (1/5)x² + (4/5)x + 1/5,

a = 1/5

b = 4/5

c = 1/5

Now we can find the x-coordinate of the vertex:

x = -b / (2a)

 = -(4/5) / (2 x (1/5))

 = -4/5 / (2/5)

 = -4/5 x 5/2

 = -4/2

 = -2

To find the y-coordinate, substitute the value of x

y = (1/5)(-2)² + (4/5)(-2) + 1/5

 = (1/5)(4) + (-8/5) + 1/5

 = 4/5 - 8/5 + 1/5

 = -3/5

Therefore, the vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).

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Answer:

$ 20d

Step-by-step explanation:

Since each Apple costs d dollars , therefore 20 will cost , $ 20d .

The correct expression that gives the cost of 20 apples, in dollars, is 20a/d. So, correct option is A.

To find the cost of 20 apples, we need to determine the expression that correctly calculates the cost based on the given variables.

Given that a represents the cost of one apple in dollars and d represents the number of dollars, we can identify the expression that calculates the cost of 20 apples.

Let's analyze each option:

A. 20a/d: This expression calculates the cost of 20 apples by multiplying the cost of one apple (a) by 20 and then dividing by d. Therefore, this expression correctly gives the cost of 20 apples in dollars.

B. 20d/a: This expression calculates the cost of 20 apples by multiplying the number of dollars (d) by 20 and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.

C. a/20d: This expression calculates the cost of 20 apples by dividing the cost of one apple (a) by 20 and then dividing by d. This does not give the correct cost of 20 apples.

D. 20/ad: This expression calculates the cost of 20 apples by multiplying 20 by d and then dividing by the cost of one apple (a). This does not give the correct cost of 20 apples.

Therefore, the correct expression that gives the cost of 20 apples, in dollars, is A. 20a/d.

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Complete question is:

If a apples cost d dollars, which of the following expressions gives the cost of 20 apples, in dollars?

A. 20a/d

B. 20d/a

C. a/20d

D. 20/ad

Answer:

2968

Step-by-step explanation:

Answer:

(k)kg+(l)kg=kg

Step-by-step explanation:

I just looked at letters. it's definitely wrong but I typed something so I could get points and get my answers. idc tbh but good luck ig

Answer:

Step-by-step explanation:

Cylinder volume:

Substitute values:

As we know the,

General formula for volume of cylinder,

→ V = πr²h

Now we can find,

The volume of the cylinder,

→ πr²h

→ π(24/2)² × 8

→ π × 12² × 8

→ 3619.11 in³

Hence, volume of cylinder is 3619.11 in³.

Answer:

18.29

Step-by-step explanation:

32000 ÷ 35 ÷ 50 = 18.2857143

Answer:

your answer is (2,3) i think so .......am i right...or wrong..

Answer:

C. -5

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from table

Point (-1, 6)

Point (0, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Step-by-step explanation:

I solved it in the diagram

a) y=4.9x

b)y=63.7

c)x=13

Answer:

hi.

Step-by-step explanation:

download photo math

The cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.

The first step is to calculate the angle at which the cue ball will hit the top bumper. We know that the angle of incidence is equal to the complement of the angle of reflection, so the angle of incidence is equal to 90 - 13/50 = 77 degrees.

The next step is to calculate the distance that the cue ball will travel along the top bumper before it strikes the other ball. We know that the angle of incidence is equal to the angle of reflection, so the angle of reflection is also 77 degrees. We also know that the distance between the cue ball and the other ball is 50 inches.

Using the law of sines, we can write the following equation:

sin(77) = (50 / d) * sin(180 - 77)

where d is the distance that the cue ball will travel along the top bumper before it strikes the other ball.

Solving for d, we get:

d = 50 * sin(77) / sin(103)

≈ 21.66 inches

Therefore, the cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.

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Start by doing the binomial expansion of (x+y)^6 where x represents success. This is

(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)

We are interested in the x^3y^3 term which represents exactly 3 sucesses. Since the probalbility of sucess and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is

20/64 = .3125 which is 31.25%

The probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Here,

Probability =(³₆×(50%)³×(1-50%)⁶⁻³

= 20×(1/2)³×(1/2)³

= 20× 1/64

= 20/64

= 5/16

= 0.3125

= 0.3125×100

= 31.25%

Therefore, the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.

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Answer:

no

Step-by-step explanation:

12 squared plus 5 squared=169

To verify that a given parallelogram is a rectangle, you can calculate the lengths of all sides, and show that both pairs of opposite sides are congruent and calculate the slopes of every side, and show that adjacent sides are perpendicular.

Answer: 1st one and last one

Step-by-step explanation:

1. How to find f(4)?

2. Substitution and Evaluate

[tex] \large{f(4) = - {(4)}^{2} - 6(4) + 12} [/tex]

Follow BODMAS/PEMDAS rules as well! Exponent first.

[tex] \large{ f(4) = - 16 - 24 + 12} \\ \large{f(4) = - 40 + 12} \\ \large{f(4) = -2 8}[/tex]

3. Final Answer

Answer:

Balance = 60x-1500

Step-by-step explanation:

Given data

total number of students= x student

amount paid by each student= Rs 60

Total amount= Rs 60*x

Advance paid for transport= Rs 1500

Hence the balance is = 60x-1500