Please answer this question to 1 decimal place

For the function x³ - 6x² + 11x - 6, we have that:

a) The x-intercepts are: x = 1, x = 2, x = 3.

b) The y-intercept is of y = -6, while the end behavior is that it decreases to the left and increases to the right.

The function is given as follows:

f(x) =  x³ - 6x² + 11x - 6

x - 3 is a factor of the function, meaning that x = 3 is a x-intercept and the function can be written as follows:

x³ - 6x² + 11x - 6 = (x - 3)(ax² + bx + c)

Then we have to build a system of equations to find the coefficients as follows:

x³ - 6x² + 11x - 6 = ax³ + (b - 3a)x² + (c - 3b)x - 3c.

Then the coefficients are given as follows:

Then the factor is given by:

x² - 3x + 2.

Hence the other intercepts of the polynomial are found when:

x² - 3x + 2 = 0

(x - 2)(x - 1) = 0.

x - 2 = 0 -> x = 2.

x - 1 = 0 -> x = 1.

The y-intercept is the value of f(x) when x = 0, that is, f(0), hence:

f(0) = 0³ - 6(0)² + 11(0) - 6 = -6.

For the end behavior, we need to find the limits as x goes to infinity, hence:

When the limit goes to infinity, we consider only the term with the highest exponent of the polynomial.

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3x+x+(x+12)=152

<AOD =<COB(VERTICAL OPPOSITE ANGLES)

[tex]5x+12=152\\5x=152-12\\5x=140\\\frac{5x}{5} =\frac{140}{5} \\x=28[/tex]

x=28°

be reminded that <COB IS MADE OF ALOT OF BRANCH ANGLES THAT WE HAD TO ADD TO GET IT

i.e <COE,<EOF AND <FOB

The fraction of hour that remained is 1/2 hour.

It is given in the question that three students were scheduled to give book reports in 1 hour.

After the first report, 2/3 hour remained. The next report took 1/6 hour.

We have to find the fraction of hour that remained.

We know that,

Total time for reports = time taken for first report + time taken for second report + time remained for third report

Hence, we can write,

Time taken for first report =  1-2/3 = 1/3 hour

Time taken for second report = 1/6 hour

1 = 1/3 + 1/6 + time remained for third report

1 = 2/6 + 1/6 + time remained for third report

1 = 3/6 + time remained for third report

1-3/6 = time remained for third report

3/6 = 1/2 = time remained for third report

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2 teaspoon of cinnamon need if he uses 3 cups of yogurt

By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part to part ratio, whereas the second is a part to whole ratio. The relationship between two separate entities or organizations is shown by the part-to-part ratio. For instance, a class has a 12:15 boy-to-girl ratio, whereas the part-to-whole ratio describes how one group compares to another. For instance, five people enjoy reading books out of every ten persons. Since the ratio of the component to the total is 5:10, 5 out of every 10 persons enjoy reading.

Given that :Sandeep is making fruit dip for a party. His recipe calls for 1/2 of a teaspoon of cinnamon and 3/4 of a cup

of yogurt.

[tex]0.5 : 0.75 = x : 3[/tex]

x = 2

2 teaspoon of cinnamon need if he uses 3 cups of yogurt

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Answer:

1 to 100,000

Step-by-step explanation:

There are 100,000 cm in a km

Answer: depends how many you have with you

Step-by-step explanation:

does not matter how many you have

Answer:

3

Step-by-step explanation:

(21-15)/2

6/2

= 3

......

Answer:

3

Step-by-step explanation:

substitute the numbers into the equation Q= (21-15)/2

you then start with the numbers within the parathesis: 21 - 15 = 6

then divide it by 2: 6/2 = 3

answer: Q = 3

The algebraic representation of the expression "subtract the quotiet of 70 divided by 2 from 60" is 60 - 70/2" which gives the result 25

the quotiet of 70 divided by 2

= 70/2

subtract the quotiet of 70 divided by 2 from 60

= 60 - 70/2

= 60 - 35

= 25

In conclusion, the result of the expression "subtract the quotiet of 70 divided by 2 from 60" is 25

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Answer:

- 4° F

Step-by-step explanation:

substitute C = - 20 into the formula

F = ([tex]\frac{9}{5}[/tex] × - 20 ) + 32 = (9 × - 4) + 32 = - 36 + 32 = - 4° F

Answer:

Answer in photo!!! :))

Step-by-step explanation:

The values of the missing variables from the areas of rectangle and square are;

17) x = 4

18) y = 5

19) x = 4

17) The formula for area of rectangle is;

A = Length * Width

Formula for area of square is;

A = side * side

Thus;

A_rect = (x - 1)(x + 2) = x² + x - 2

A_sq = x²

The area of the rectangle shown exceeds the area of the square by

2 cm². Thus;

x² + x - 2 - x² = 2

x - 2 = 2

x = 4

18) Area of the square; A_sq = y²

Area of the rectangle; A_rect = (y - 3)(y + 1) = y² - 2y - 3

The area of the square exceeds the area of the rectangle by 13 m². Thus;

y² - y² + 2y + 3 = 13

2y = 10

y = 5

19) The area of the square is half the area of the rectangle. Thus;

x² = ¹/₂(2(x² + 2x - 8))

x² = x² + 2x - 8

2x - 8 = 0

x = 4

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Answer:

3528

Step-by-step explanation:

35280 divided by 10 is 3528. To check your work, multiply 3528 by 10. The answer is 35280.

Hope this helps! :)

Answer:

51

Step-by-step explanation:

I may have made a mistake somewhere along the way but if not then it is 51 gallons.

The way i did this was to multiply 20 minutes by 3 to equal an hour, then multiply that by 24 to equal a day, then multiply that by 365 to equal a year.

That gives you the numbers you need to multiply the ounce by. So first multiply 1/4 by 3 to get 3/4. Next you multiply 3/4 by 24 to get 72/4 or 18. Then you multiply 18 by 365 to get 6570 ounces in a year. Finally you translate that to gallons and you get 51.328125, which rounds down to 51.

Alsooo, i wouldnt mind a good old brainliest if im correct :)

Answer: the second one

Step-by-step explanation:

commutative is like

A+b=b+A

So 4+(-6)=-6+4

Which is like 4-6=-6+4

Answer:

2x + 7y

Step-by-step explanation:

3x + 5y - x + 2y ← collect like terms

= (3x - x) + (5y + 2y)

= 2x + 7y

By Simplifying 3x + 5y - x + 2y, we get 2x + 7y

More Explanation

The simplification here follows the basic method of addition and subtraction in algebra.

Given : 3x + 5y - x + 2y

Step 1: align the numbers with similar variables.

Therefore, we get, 3x - x + 5y + 2y

Step 2: Solve by addition and subtraction.

Therefore, we get, 2x + 7y

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Answer:

Because these probabilities are independent, the friend was supposed to multiply them, not add them. So the probability of rain this weekend is

.35 × .65, or .2275, meaning that the probability of rain this weekend is 22.75%

Answer:

true

Step-by-step explanation:

when unlike terms are added, they cannot be "combined".

examples of unlike terms: [tex]2x +3[/tex] and [tex]5y - 2[/tex] and [tex]6y^2 - 4x^2[/tex]

[tex]5x^2 and -9x^2[/tex] are like terms because they both contain the variable x and have an exponent of 2.

Answer:  [tex]\text{y} \ge 2[/tex]

Reason:

The lowest point on the graph occurs when y = 2. This is a closed endpoint so it's included with the graph. So either y = 2 or y > 2, both of which combine to get the answer shown above.

Answer: no

Step-by-step explanation:

t^2/t^4  is 1/t^2 which is not t^2

Cost of one hot dog is and potato chips is

As per the given problem a customer buys 3 hot dogs and 3 bags of potato chips for $8.25. we have to find the cost of each item.

let price of one hot dog is x nd price of potato chips is y.

Formulating the Equation we get

3x+3y=$8.25

another customer buys 5 hot dogs and 3 bags of potato chips for $11.25.

Formulting the Equation we get

5x+3y=$11.25.

we get two linear equation with two unknowns.

solving both equation we get $8.25-3x=$11.25-5x

or 2x=$3

x=$1.5

y=$1.25

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56x raise to power minus 4 divided by 14x raise to power minus 8​ has its answer calculated as 4[tex]x^2[/tex] by solving through formulas of exponents and powers.

A mark placed exactly or right above a mathematical equation or a numeral that helps to denote the action of raising to a power of something.

Exponent is also defined as one of the methods of expressing many large numbers in terms of powers. This means that exponent refers to how many times a single number or an equation is multiplied by itself.

The statement 56x raise to power minus 4 divided by 14x raise to power minus 8​ can be simplified in equational terms as

[tex]\frac{56x^-{4}}{14x^{-8}}[/tex]

which can be further simplified as [tex]4x^{4}[/tex]

Exponentiation is a type of mathematical operation that can be written as bⁿ, involving two numbers. The base b and then the exponent or power n is included in it and pronounced as "b to the power n".

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The values of k for which the line y = 2x + k + 2 cuts the curve y = 2x² + (k + 2) + 8 at two distinct points are; k > -12 or k < 4

We are given the equation of the line as;

y = 2x + k + 2

Equation of the curve is;

y = 2x² + (k + 2) + 8

Now, to find the the values of k for which the line y = 2x + k + 2 cuts the curve y = 2x² + (k + 2) + 8 at two distinct points, we will just equate both equations to get;

2x + k + 2 =  2x² + (k + 2) + 8

2x + k + 2 =  2x² + kx + 2x + 8

2x² + kx + (-k + 6) = 0

Now, Two distinct solutions is the same as having a positive discriminant.

b² - 4ac > 0

k² - 4(2 * (-k + 6)) > 0

k²  + 8k - 48 > 0

Solving using quadratic equation calculator gives;

k > -12 or k < 4

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Answer:

Step-by-step explanation: 0.00489296636 if you divided by 40 to 8175 but if you wanted 8175 divided 40 it would equal 204.375 just letting you know i used a calculator so if these aren't it then i'm not sure

The value of the exponential expressions is 9. Option 1

An algebraic expression can be defined as an expression that is composed of coefficients, variables, terms, constants, and also factors.

These expressions may also consist of arithmetic or mathematical operations such as;

Given the exponential expression as;

(y³/xy²)²

For when x = 2 and y = 6

We have to substitute the value into the expression, we have;

{(6³/(2)(6)²)}

Find the cube and square of the values, we have;

{ 216/2(36) }²

expand the bracket

{ 216/72}²

Find the quotient

{3}²

Find the square

9

Hence, the value is 9

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FOR A RECIPROCAL OF FRACTION WE SWAP POSITIONS. WHATEVER WAS IN THE NUMERATOR BECOMES THE DENOMINATOR AND WHAT WAS IN THE DENOMINATOR BECOMES THE NUMERATOR.

THIS MEANS THAT AS A RESULTS WE HAVE

[tex] \frac{b}{b - 1} [/tex]

ATTACHED IS THE SOLUTION.

Answer:

Step-by-step explanation:

The time it would take the cost to be 4 times the current cost of a gallon of milk at an annual inflation rate of 6% is calculated to be 23.8 years.

To determine the time for the cost to be 4 times the current cost of a gallon of milk, we use the compound interest formula as follows;

A(t) = A(0) (1 + r)^t

Here A(t) is the cost of 4 times the current cost at time t

A(0) is the current cost

r is the interest rate

t is the time period

Therefore;

2.70 × 4 = 2.70( 1 + 0.06)^t

2.70 × 4 / 2.70 = (1.06)^t

4 = (1.06)^t

Taking log on both sides;

t × log(1.06) = log 4

t = log 4 / log(1.06)

t = 23.791 = 23.8 years

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Using the expected value of a discrete distribution, the correct option is given as follows:

E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

When 3 coins are tossed, the probabilities are given as follows:

Hence the distribution for the penny points is:

The expected value for the penny points is:

-2 x 0.25 + 3 x 0.75 = 1.75.

When 2 coins are tossed, the probabilities are given as follows:

Hence the distribution for the nickel points is:

The expected value of nickel points is:

E(X) = -2 x 0.5 + 5 x 0.5 = 1.5.

Due to the higher expected value, she should play with the pennies and the third option is correct.

The complete problem is given by the image at the end of the answer;

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Answer:

The answer is C

Step-by-step explanation:

edge

The number of miles in day at which the rental cost for the company A and Company B are the same is 200 miles

The Company A rented the truck for $40 a day plus $0.40 per miles

The expression will be

40+0.40x

Where x  is the number of miles

The company B rented the truck for $20 a day plus $0.50 per miles

20+0.50x

To find the number of miles in a day at which the rental costs for Company A and Company B are the same, the linear equation will be

40+0.40x = 20+0.50x

40-20 = 0.50x-0.40x

0.1x = 20

x = 200 miles

Hence, the number of miles in day at which the rental cost for the company A and Company B are the same is 200 miles

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