the zeros of the functions f(x) = 3x^2 - 3x - 6

Answers

Answer 1

The answer is: x = 2 ∨ x = -1

Related Questions

Two consecutive whole numbers that 106 square root lies between

Answers

Using a calculator, the square root of 106 is roughly equal to the decimal number 10.2956 so the two whole numbers are 10 and 11

If you are unable to use a calculator or don't have one, then you can list out the set of perfect squares: {1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121}

We can see that 106 lies between 100 and 121
100 = 10^2
121 = 11^2
so that shows the square root of 106 lies between 10 and 11

Final answer:

The square root of 106 is between 10 and 11. So, the two consecutive whole numbers are 10 and 11.

Explanation:

The student is asking about the whole numbers that the square root of 106 lies between. To determine this, we calculate the square roots of numbers near 106. The square root of 100 is 10 and the square root of 121 is 11. Therefore, the square root of 106 lies between 10 and 11. So, the two consecutive whole numbers that the square root of 106 lies between are 10 and 11.

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What’s the ratio for 34in to 14ft

Answers

14 feet is equivalent to 168 inches
34 : 168
-------------------------------------------
Now Simplify
17 : 84
-------------------------------------------
17 : 84 should be your Ratio

34 inches is 2 feet 10 inches, or 2 10/12 feet, or 2.83333....

Then the ratio 34 in to 14 ft is

2.83333... ft
---------------- = approx. 0.21 (no units of measurement).
14 ft

2.365 x 12.4 ASAP
can you please show work like this how you got it

Answers

The product to that question is 29.326. You had to do some borrowing for this question, but here is the work on how I got the answer. The numbers part of the answer are kind of cut out, but if you work it right, you should get the answer above.

Final answer:

To perform the multiplication 2.365 x 12.4, you need to multiply each digit of the numbers, remembering to keep track of decimal places, and then add all the partial results together. This gives a final result of 29.326.

Explanation:

To solve the multiplication problem 2.365 x 12.4, you use the standard multiplication method, which involves multiplying each digit of the multipliers. Follow the steps below:

Multiply 5 (from 2.365) by each digit in 12.4: 5x4=20, 5x2=10, 5x1=5. Write this number, 11820, under the problem and mark the decimal.Multiply 6 (from 2.365) by each digit in 12.4, but shift one place to the left. Do the same for 3 and 2 in 2.365, shifting each time to the left.Add all the resulting numbers up, making sure your decimal places align correctly (2 places in this problem).

The final result of the multiplication 2.365 x 12.4 is 29.326.

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why is the square root of 32 irrational

Answers

Its irrational because a number times itself does not equaly go into 32 pluse the decimals behind it are not finite. The square root of 32 cannot be written as a ratio nor a fraction.

Ten years from now Sam will be twice as old as she was three years ago.How old is she now?

Answers

Answer:

is ther any information about how old he will be in ten years from now

Step-by-step explanation:

Sam's current age is 16 years old based on the provided condition.

Ten years from now, Sam will be twice as old as she was three years ago. Let's represent Sam's current age as x. According to the given condition:
Age after ten years = x + 10
Age three years ago = x - 3
Given that the age after ten years will be twice the age three years ago:
x + 10 = 2(x - 3)
Solving for x:
x + 10 = 2x - 6
x = 16

Therefore, Sam is currently 16 years old.

Below is last month's business income statement for Korey's Comics. Using the information provided in the statement, determine net income for Korey's Comics last month. Korey?s Comics Monthly Business Income Statement Revenue Sales: $6,825 Returns: $215 Net Sales: Cost of Goods Sold Beginning Inventory: $780 Purchases: $1,795 Goods Available for Sale: Ending Inventory: $795 Total Cost of Goods Sold: Gross Profit:: Operating Expenses Wages: $1,460 Rent: $650 Utilities: $185 Advertising: $90 Taxes: $125 Total Operating Expenses: Net Income: a. $2,320 b. $2,510 c. $4,830 d. $6,610

Answers

The Answer is A) 2,320. Here is how we arrive at that number:
Net Sales = Revenue - Returns = 6,825 - 215 = 6610
COGS = Beg Inv + Purch - Ending Inv = 780 + 1,795 - 795 = 1780
Gross Profit = Net Sales - COGS = 6610 - 1780 = 4830

OP Expenses:
Wages 1,460.00
Rent 650.00
Utilities 185.00
Advert 90.00
Tax 125.00
Total Operating Expenses: 2,510

Net Income = Gross Profit - Operating Expenses = 4,830 - 2510 = 2320
Net Income: 2,320

Based on the information given the net income is $2320.

Net income

Using this formula

Net Income = Gross Profit - Operating Expenses

Where:

Net Sales = Revenue - Returns

Net sales=$6,825 -$215

Net sales=$6610

Cost of goods sold= Beginning Inventory + Purchase - Ending Inventory

Cost of goods sold =$780 + $1,795 - $795

Cost of goods sold=$1780

Gross Profit = Net Sales - Cost of goods sold

Gross profit =$6610 - $1780

Gross profit=$4830

Operating Expenses:

Wages $1,460

Rent $650

Utilities $185

Advert $90

Tax $125

Total Operating Expenses $2,510

Let plug in the formula

Net income=$4,830 - $2510

Net income=$2320

Inconclusion the net income is $2320.

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Simplify. 46√+26√−6√
6√6

5√18

5√6

6√18

Answers

Answer:

46√+26√−6√ It Is 5√-6

Answer:

The answer is: [tex]5\sqrt{6}[/tex]

good luck!

What are the steps to the problem 4,3021 - 835.6?

Answers

43021.0
- 835.6
------------
42185.4

The final result is 3466.5.

To solve the subtraction problem 4,302.1 - 835.6, follow these steps:

Align the Numbers: Line up the numbers by their decimal points.
4302.1- 835.6Borrow if Necessary: If the digits in the minuend (top number) are smaller than the subtrahend (bottom number), borrow from the next left digit.Perform the Subtraction: Subtract each column starting from the right:Perform 4302.1 resulting the final number 3466.5

The final answer is, 3466.5.

The graph below represents one function and the table represent s a diffrent function how are the functions similar?

Answers

Where's the graph? Can't solve it without the graph.

Which of the following inequalities match the statemennine is more than a number

9 < n

9 ≥ n

9 ≤ n

9 > n

Answers

So, you want to eat the bigger one right? So imagine the < and > are mouths trying to eat... The statement say 9 is more so you'd eat 9.

9 > n
Hope this Helps!

Answer:

9 > n

Step-by-step explanation:

think of this <ess it kinnda looks like it says less so > means the greater than symbol

Hopes This Helps :) please make me brainless just one time

what is an rational number

Answers

A rational number is a number that can be written into a fraction. pi, some square roots, e, etc., are irrational numbers(numbers that cannot be written into a fraction).

a rational number is when a number can be in the form of p/q. When p/q are integers and q is not equal to 0
hope this helps!

Which statement and explanation about the product of a 3-digit number and a 2-digit number is correct?

A. The product always has 4 digits. The least 3-digit number is 100, and the least 2-digit number is 10. The product of 100 and 10 has 4 digits, so any product of a 3-digit and a 2-digit number must have 4 digits.
B. The greatest number of digits in the product is 6. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 3 digits and 2 digits equals 6 digits, so no product of a 3-digit and a 2-digit number can have more digits.
C. The product always has 5 digits. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so any product of a 3-digit and a 2-digit number must have 5 digits.
D. The greatest number of digits in the product is 5. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so no product of a 3-digit and a 2-digit number can have more digits.

Answers

Its D- 999*99 is a 5 digit #, but 100*10 is a 4 digit- 1000- so it can be less.

The correct statement is :

D. The greatest number of digits in the product is 5. The greatest 3-digit number is 999, and the greatest 2-digit number is 99. The product of 999 and 99 has 5 digits, so no product of a 3-digit and a 2-digit number can have more digits.

The smallest 2 digits is 10, and the smallest 3 digits is 100

Their product is:

[tex]10 \times 100 = 1000[/tex] i.e. 4 digits

The greatest 2 digits is 99, and the greatest 3 digits is 999

Their product is:

[tex]99 \times 999 = 98901[/tex] i.e. 5 digits

This means that;

No product of the digits can have more than 5 digits

And, no product can have less than 4 digits

Hence, (d) is correct

Answers

He would need 15 cookies and 5 brownies. This is because 4 is not a multiple of 10, so we are going to reduce it to 2. This means that you need 3 cookies and 1 browny for every 2 plates. 10 divided by 2 is 5, so you multiply each treat by 5 and get 15 cookies and 5 brownies. Hope this helps!!

Find the perimeter and area of each figure

Answers

first you multiply 15 and 13 to find the perimeter but to find the area you just add 15 by 15 and 13 by 13. The sum of both will get you the area

Problem
Find the perimeter and area of each figure.

Result
1. P = 56 A = 195
2. P = 76 A = 345

Solution
Perimeter = 2(l + w)
Area = wl

1. P = 2(15 + 13) = 2(28) = 56
A = 15 · 13 = 195

2. P = 2(23 + 15) = 76
A = 23 · 15 = 345

Systems of equations word promblems. I need help answering this questions >. < Tysm. Please explain it also.

3)Flying to kampala with a tailwind a plane averaged 158 km/h. on the return trip the plane only averaged 112 km/h while flying back into the same wind. find the speed of the wind and the speed of the plane in still air

Answers

Answers:
Speed of Wind = 23 km/hr
Speed of Plane in Still Air = 135 km/hr

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

Explanation:

First let's go over two definitions

Headwind = wind that is flowing in the opposite direction of the plane's direction of movement; i.e., wind that is coming from the head direction. Headwinds slow the plane down

Tailwind = wind that is coming from the tail of the plane and moving in the same direction as the plane's destination. Tailwinds speed the plane up

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

Let
w = speed of wind
p = speed of plane in still air
both speeds are in km/hr

With a tailwind, the plane will speed up so it will go from p to p+w. Therefore, the first equation is
p+w = 158
since the new speed (wind+plane's movement without wind) is 158 km/hr

Similarly, in a headwind, the speed reduces to 112 so
p-w = 112
because we take the plane's speed p and subtract off the wind speed w that slows down the overall speed

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

The system of equations is
p+w = 158
p-w = 112

Add up the equations and notice how w cancels

p+w = 158
p-w = 112
---------
2p+0w = 270

Leading us to
2p = 270
2p/2 = 270/2
p = 135

The speed of the plane in still air is 135 km/hr

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

Use p = 135 to find w
p+w = 158
135+w = 158
135+w-135 = 158-135
w = 23

The speed of the wind is 23 km/hr

How do I solve this?

Answers

The solution is -8+8 is 0 then The k/10 =-8 bring 10 to -8 it will get multiplied 10*-8=-80 so k=-80

1. Isolate the absolute value.
2. Set the inside of the absolute value equal to positive and negative of the right side and solve both equations. Very often you get two solutions.

-8 + 8|k/10| = -8

Add 8 to both sides.

8|k/10| = 0

Divide both sides by 8.

|k/10| = 0

Now set k/10 equal to 0 and -0.
Since -0 is the same as 0, in this case you will only get one equation from the absolute value part.

k/10 = 0

Multiply both sides by 10.

k = 0

A popular chain of superstore makes 30.479×10730.479×107 dollars in profit each year. One of its store makes 210.2×104210.2×104 in profit each year.

How many times greater is the profit made by the chain than by one of its store?

Enter your answer, using scientific notation, in the boxes.

Answers

Final answer:

To find how many times greater the chain's profit is than one store's, divide the chain's profit by the store's profit. After dividing the coefficients (30.479/210.2) and subtracting the exponents (7-4), we find that the chain's profit is 145 times greater than that of one store, which is 1.45 × 10² in scientific notation.

Explanation:

To determine how many times greater the profit made by the chain is than by one of its store, we need to divide the total profit of the chain by the profit of one store. Both profits are given in scientific notation as follows:

Chain's annual profit: 30.479 × 107 dollars

One store's annual profit: 210.2 × 104 dollars

To perform the division, we divide the coefficients and subtract the exponents:

(30.479 × 107) / (210.2 × 104) = (30.479 / 210.2) × 10(7 - 4)

Calculating the division of coefficients and exponents separately:

Coefficients: 30.479 / 210.2 ≈ 0.145

Exponents: 103, since 7 - 4 = 3

The result is:

0.145 × 103, which is the same as 1.45 × 102 in scientific notation after adjusting the decimal point one place to the right. Therefore, the chain's profit is 145 times greater than the profit of one store.

Molly works at an electronics store. Her last customer purchased a DVD player for $67.65 and five DVDs for $57.93, including taxes. If the customer paid her with two $100 bills, how much change should she give him?

Answers

67.65 + 57.93 = 125.58

200.00 - 125.58 = $74.42 change back

how do i graph –73x+2

Answers

Use Desmos.com it will graph it for you. And it will show you the steps. I think this will help you.

you originally start at the origin, (0,0), however the +2 moves your y value 2 places up. Start at (0,2), and then count your slope. 73/1 is a steep slope, but if thats correct, you would go up 73 units and over 1. making your next point (1,75). and do it the opposite way to make (-1,-71). there is 3 points for your graph.

Right now Seth's age is 4/5 the age of his brother Eric. Twenty-one years ago, Eric was twice as old as Seth. What are their ages now?

Answers

Final answer:

To find Seth and Eric's current ages, we can set up two equations using the given information and solve them simultaneously.

Explanation:

To solve this problem, let's start by assigning variables to the ages of Seth and Eric. Let Seth's age be represented by 'S' and Eric's age be represented by 'E'. We are given that currently Seth's age is 4/5 the age of Eric:

S = (4/5)E

We are also given that twenty-one years ago Eric was twice as old as Seth:

E - 21 = 2(S - 21)

Now we can solve these equations simultaneously to find their current ages. Let's substitute the value of S from the first equation into the second equation:

E - 21 = 2((4/5)E - 21)

Simplifying the equation, we get:

E - 21 = (8/5)E - 42

Moving all the terms with 'E' to one side, we get:

(8/5)E - E = 42 - 21

Simplifying further, we get:

(3/5)E = 21

To solve for E, we can multiply both sides of the equation by 5/3:

E = (5/3) * 21 = 35

Now that we know Eric's age, we can substitute this value back into the first equation to find Seth's age:

S = (4/5) * 35 = 28

Therefore, Eric is currently 35 years old and Seth is currently 28 years old.

Write the standard form of the line that contains a slope of -3/8 and passes through the point (5, -4). Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answers

Answer and work shown above

Answer: [tex]3x+8y+17=0[/tex]

Step-by-step explanation:

We know that the equation of a line passing through a point (a,b) ans has slope 'm' is given by :-

[tex](y-b)=m(x-b)[/tex]

Given : Slope : [tex]m=\dfrac{-3}{8}[/tex]

Point = (5, -4)

Then, the equation of a line passing through a point (5, -4) ans has slope [tex]\dfrac{-3}{8}[/tex] is given by :-

[tex](y-(-4))=\dfrac{-3}{8}(x-5)\\\\\Rightarrow\ 8(y+4)=-3(x-5)\\\\\Rightarrow\ 8y+32=-3x+15\\\\\Rightarrow\ 3x+8y+32-15\\\\\Rightarrow\ 3x+8y+17=0\ \ [\text{In standard form}][/tex]

Therefore, the standard form of the line that contains a slope of [tex]\dfrac{-3}{8}[/tex] and passes through the point (5, -4):

[tex]3x+8y+17=0[/tex]

Carmen measured a house and made a scale drawing. The scale of the drawing was 9 millimeters = 1 meter. What is the drawing's scale factor? Write it as a fraction.

Answers

When you write a scale factor, the units have to be the same. In this case, 9mm on the drawing represents 1 meter on the house. Change 1 meter to millimeters (1m = 1000mm).

9 mm on the drawing represents 1000 mm on the house.

The scale factor is 9 to 1000, or, as a fraction, 9/1000.

the sum of two numbers 18 and their difference is 4. what are the two numbers?

Answers

They are 7 and 11. 11 + 7 = 18, 11 - 7 = 4.

The values of a and b in the expression given are 11 and 7 respectively

Let the numbers be : a and b

The sum of the numbers equals 18 :

a + b = 18 - - - (1)

The difference of the numbers equal 4 :

a - b = 4 - - - (2)

From (1):

a = 18 - b - - - (3)

Substitute the value of a in (3) into (2)

18 - b - b = 4

Collect like terms

18 - 2b = 4

-2b = 4 - 18

-2b = - 14

b = 14 / 2

b = 7

From (3)

a = 18 - 7 = 11

Therefore, the values of a and b are 11 and 7 respectively

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The boiling point (at atmospheric pressure) of Ammonia is -28 1/10°F and of Propylene is -53 9/10°F. What is the difference in their boiling points?

-82°F

26°F

25 4/5°F

-81 4/5°F

Answers

I think it's 25 4/5 F

Answer:

yeah I got it right

Step-by-step explanation:

A linear equation has more than one y intercept.what can you conclude about the graph of the equation?

Answers

I'd say the graph isn't functional

A line can be determined with two points.

The y-intercept is where a graph intersects the y axis.

Let 2 points lie on the y axis. Those are the y-intercepts.

2 lines can only have 0 intersections, 1 intersection, or infinitely many intersections.

Thus, if a line intersects another line more than 2 times, both lines must be the same line.

Using that information to create a line, you would have the line x=0.

x=0 is a vertical line that intersects the y-axis infinitely many times since they are the same line.

However, x=0 is not a function.

Have an awesome day! :)

a number between 67 and 113 that is a multiple of 3, 6 and 9

Answers

9x9 = 8 It is a multiple of 9 and it is in the range of 67 and 113.

A system of equations is graphed on the coordinate plane.

2y = 3x − 1
4y = 6x − 2

Select the number of solutions for the system of equations from the drop-down menu.

A. no solution
B. one solution
C. infinitely many solutions

Answers

Maybe it's c, not sure

Margo used the equation y=-4x-1 to graph a line. She graphed the point (-1, 0), Does (-1, 0) lie on the line? If not, what mistake did Margo make?

Answers

It does because -1 0 is going to on q4 so it is going be on the so yes

No, it doesn't. -1 is the y intercept, meaning the first point would be (0, -1) rather than (-1, 0)
The line does not cross the point (-1, 0)

True or False ?
A line represented by the equation x= 1/2 is parallel to x-axis?

Answers

no it is parallel to the y axis

Y=1/2 is not paralel axis it paralel to y
İt is false

Which comparison symbol makes each inequality statement true?

Enter <, > , or = to make each statement true.

Enter your answers in the boxes.

−6.809 −6.812

|−6.809| |−6.812|

Answers

-6.809>-6.812
|-6.809| <|-6.812|

because the absolute values (vertical lines) represent whatever is in them becomes a positive.
-hope that helps

Answer:

-6.809 > -6.812 and [tex]|-6.809 | < |-6.812 |[/tex]

Step-by-step explanation:

It is clear that 6.809 < 6.812. Hence, -6.812 < -6.809, since the minus sing reverses the order. On the other hand,

[tex]|-6.809 |= 6.809 < 6.812=|-6.812 |[/tex]

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