can you please help me? 2.1.3

Answer:

A. (-4,0)

Step-by-step explanation:

The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

The equation of the function is given as:

f(x) = x^3 + 4x^2 + x - 6

Expand the function

f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6

Reorder the terms of the function

f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6

Factor the expression

f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)

Factor out x -1

f(x) = (x^2 + 5x + 6)(x -1)

Expand

f(x) = (x^2 + 3x + 2x + 6)(x -1)

Factorize

f(x) = [x(x + 3) + 2(x + 3)](x - 1)

Factor out x + 2

f(x) = (x + 3)(x + 2)(x- 1)

The function has been completely factored;

And it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

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Answer:

c

Step-by-step explanation:

its just the dilate of the triangle which both add up to 180

The missing number given the mean of the data set is 16.

Mean is the average of a data set. It is determined by adding all the numbers in the data set and dividing the sum by the numbers in the data set.

Missing number = (mean x total number in the data set) - sum of numbers in the data set

(18 x 7) - ( 21 + 11 + 27 + 22 + 13 + 16)

126 - 110

= 16

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An equation is formed of two equal expressions. The correct option is A.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Therefore, the equation shows p, the price in dollars that she paid for her previous car,

Price of new car = 2 (Price of the previous car)

22,500 = 2p

Hence, the correct option is A.

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Answer: a

Step-by-step explanation:

Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003

Decimal numbers are numbers that includes the dot in between. Given the percentage value expressed as:
0.3%

This can be expressed as;

0.3% = 0.3/100

Since 0.3 is divided by 100, we will shift the decimal point backward in 2 places to have 0.003

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Answer: [tex]\{x|x \exists \mathbb{R}, x > 3 \}[/tex]

Step-by-step explanation:

Adding 5 to both sides, we get x > 3.

Answer:

B; because it has two points where x is once 2 and once -4

Answer:

Peter spent 14 dollars on movie tickets. Henry spent 10 dollars on popcorn.

Step-by-step explanation:

I hope this helps! :)

The height of a woman whose femur (f) measures 49 centimeters is equal to 173.15‬ centimeters.

A function can be defined as a mathematical expression that defines and represents the relationship that exists between two or more variable of a data set.

In order to determine the height of a woman whose femur (f) measures 49 centimeters, we would substitute this numerical value into the first function as follows:

G(f) = 2.57f + 47.22

G(49) = 2.57(49) + 47.22

G(49) = 125.93 + 47.22

G(49) = 173.15‬ centimeters.

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The car would travel a distance of 400 km using 20 litres of petrol

The given parameters can be represented using the following scale ratio :

Scale = 340 km : 17 litres

For 20 litres of petrol, we have:

Distance : 20 = 340 km : 17

Express as fraction

Distance/20 = 340 km/17

Multiply both sides by 20

Distance = 400 km

Hence, the car would travel a distance of 400 km using 20 litres of petrol

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[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=years\dotfill &2 \end{cases} \\\\\\ A=6000[1+(0.095)(2)]\implies A=6000(1.19)\implies A=7140[/tex]

The probability of P(A|B) will be; P(A|B) = 2/5 = 0.4

From the Venn diagram attached, it displays sports played by 10 students.

Let event A = The students play basketball.

Let event B = The student plays soccer.

Then the probability of P(A|B) will be;

P(A|B) = P(A ∩ B)/P(B)

P(A|B) = (2/10)/(5/10)

P(A|B) = 0.40

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Answer:

y=0, y=8

Step-by-step explanation:

y²-8y=0

y(y-8)=0

so either y=0 or y-8=0

so y=0, y=8

Answer: The answer is 0.7265.

Step-by-step explanation: I don't know how to explain. Put the tangent of pi / 5 into your calculator.

You get 0.726542528...

But you round to 4 decimal places.

This rounds to 0.7265.

[tex] \tan( \frac{\pi}{5} ) [/tex]

Calculate the approximate value

0.726543

Round 0.726543 to the required place

0.7265

Answer:

0.7265

The absolute function will be f(x) = | x - 5 | - 4.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x - h | + k

Where h,k is the vertex of the absolute function.

f(x) = | x - 5 | - 4

Therefore the absolute function will be f(x) = | x - 5 | - 4.

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Answer:

18ft

Step-by-step explanation:

i can't lay out the formula

let's say the segment is A(-3,8) and B(6,-4) and point C splits it on a 1:5 ratio from A to B, let's check for C coordinates.

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-3,8)\qquad B(6,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(-3,8)=1(6,-4)[/tex]

[tex](\stackrel{x}{-15}~~,~~ \stackrel{y}{40})=(\stackrel{x}{6}~~,~~ \stackrel{y}{-4})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-15 +6}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{40 -4}}{1+5} \right)} \\\\\\ C=\left(\cfrac{-9}{6}~~,~~ \cfrac{36}{6} \right)\implies C=\left( -\cfrac{3}{2}~~,~~6 \right)[/tex]

Answer:

sorry i can't see it properly I am very sorry

Answer:16  ties

Step-by-step explanation:

there is 19 games if they tied 16 then that 16 points so 28 - 16= 12  

then 4 games left so 4 times 3 is 12

At the end of the tournament, team Olympus have tied for 13,10,7,4,1 times

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

According to question

In a football tournament, each team plays exactly 19 games.

Points for every win (w) = 3

Points for every tie (t)= 1

Points for every loose = 0

Olympus got a total of 28 points

i.e  3w + t = 28 ---------(1)

And each team plays  19 games

T + W  ≤  19 --------------(2)

and T , W ≥ 0

from equation (1) and (2)

=> 2W  ≥  9

=> W ≥ 4.5  

( match can be won in integers only )

=> W  ≥  5  

W       T        Loose

5        13           1

6        10           3

7         7            5

8         4            7

9          1            9    

Hence, Olympus have tied for 13,10,7,4,1 times

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Answer:

y = 1/40x + 20

Step-by-step explanation:

Slope-intercept equation format:

y = mx + b

m = slope/ gradient/ constant of variation/ rate of change

b = y-intercept

To find the slope, use the formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Find  two random points:

1 - (0.5, 40) , 2 - (1, 60)

Plug in:

[tex]\frac{60-40}{1-0.5}[/tex]

Solve:

[tex]\frac{20}{0.5}[/tex]

Divide:

[tex]\frac{1}{40}[/tex]

The y-intercept is when the x-coordinate is equal to 0.

The y-intercept is always the beginning.

So observing the graph, the first point is (0, 20)

The x-coordinate is 0.

Y intercept = 20.

Plug in both slope and y-intercept:

y = 1/40x + 20

Answer:

1. 3608

2.3956

3. 714

Step-by-step explanation:

jap darab ke apa ni

Step-by-step explanation:

= ( +2 ) × ( + 6 ) ( -3 )

= + 12 (- 3 )

[tex] = - 36[/tex]

hence - 36 is the answer...

Answer:

2,550 dollars hope u get a good grade

Step-by-step explanation:

the andswer is 220.32

Step-by-step explanation:

when you take 204 times the 8percent interest

204 x .08

you get 16.32

now add 16.32 and 204 and thats what you owe for your loan

The calculation of the interest based on the price given shows that vehicle B has a lower interest.

From the information given, vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months. The interest will be:

= (25000 × 5 × 5)/100

= $6250

Vehicle B has a final sale price of $29,000 at 4% interest and financing up to 60 months. The interest will be:

= (29000 × 4 × 5)/100

= $5800

Therefore, the calculation of the interest based on the price given shows that vehicle B has a lower interest.

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For a quadrilateral to be a square, the diagonals must be congruent and must be perpendicular.

Given the following parameters DB = 18 ft, AB = 3 ft, and CB = 10 ft. Therefore, The length of the CE is 4.6 ft.

The secant-secant rule states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

Mathematically:

(BA + AD)BA = (BE + EC)BE

Given the following parameters

DB = 18 ft, AB = 3 ft, and CB = 10 ft.

Substitute to check if we can find CE

(BA + AD)BA = (BE + CE)BE

(3+ 15) x 3 = (10 + CE ) x 10

18 x 3 = 100 + 10CE

54 = 100 + 10CE

CE = 4.6

Therefore, The length of the CE is 4.6 ft.

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Answer:

10π (31.415926)

√101(10.0498756)

9.92749...

0.99853...

Step-by-step explanation:

For 10π, we can simplify π into 3.14 for an approximate amount. 3.14*10=31.4

For the square root of ten, we can estimate it's between 10 and 11 since 10 squared is 100 and 11 squared is 121.

Answer:

See explanation

Step-by-step explanation:

First, we have to put the expressions into numbers. For the square root of 101, it doesn't divide evenly into any whole number. We do know that 10^2 is 100, and 11^2 is 121. That means the square root of 101 is between 10 and 11. Pi is equal to 3.14, so we just multiply 10 by 3.14. If we do this, we get 31.4. From here we can rank the numbers in order from greatest to smallest.

31.4 (10pi) is greater than

The square root of 101 which is greater than

9.92749... which is greater than

0.99853...

Hope this helps!