What are the roots of the polynomial equation x cubed minus 7 x = 6 x minus 12? Use a graphing calculator and a system of equations. –6, 6 –4, 1, 3 –3, –1, 4 1, 3

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Answer:

the answer of 5.2 x 6.9 = 35.88

Answer:

♡ The first answer is correct

♡ Please mark them BRAINIEST

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n⁴ - 2n³ - 23n² + 24n + 144 is the standard form of given zeroes.

What is a linear equation in mathematics?

A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.

                              A linear equation is an equation that raises a variable to the first power. ax+b = 0 is an example of a 1 variable. x is a variable and a and b are real numbers.  

Roots : -3(mult . 2), 4(mult.2)

the function is given as

     f(n) = (n + 3)² (n - 4)²

         = (n + 3) (n + 3 ) ( n - 4 ) ( n - 4)

        = (n² + 6n + 9) (n² - 8n + 16 )

        = n⁴ - 8n³ + 16n² + 6n³ - 48n² + 96n + 9n² - 72n + 1

collecting like term,

    f(n) = n⁴ - 2n³ - 23n² + 24n + 144

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1. Mean = 33.61

2. Standard Deviation = 11.3284

3. Variance = 128.33

The given data are: \(22.8, 49.8, 17.5, 44.1, 33.2, 20.6, 43.2, 37.7\)

To get mean, we will sum up all the numbers and divide by the total count. The mean is:

= (22.8 + 49.8 + 17.5 + 44.1 + 33.2 + 20.6 + 43.2 + 37.7) / 8

= 268.9 / 8

= 33.62

Standard Deviation: \(\sqrt((22.8 - 33.61)^2 + (49.8 - 33.61)^2 + (17.5 - 33.61)^2 + (44.1 - 33.61)^2 + (33.2 - 33.61)^2 + (20.6 - 33.61)^2 + (43.2 - 33.61)^2 + (37.7 - 33.61)^2) / 8\)

= \(\sqrt{128.3336}\)

= 11.3284420818

= 11.3284

Variance = (Standard Deviation)^2

Variance = \(11.3284 ^2\)

Variance = 128.33264656

Variance = 128.33.

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Answer:

Step-by-step explanation:

(45 tulips)/(30 minutes) = (45/30 tulips)/minute = 1.5 tulips/minute

x-12=12

x=24

your brother is 24 years old

If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.

Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.

Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.

Since NP and QS are parallel lines, we have:

∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)

Also, the alternate interior angles NOM and POM are equal, so:

∠NOM = ∠POM

Substituting this into the first equation gives:

∠POM + ∠MOP = 180°

We can now solve for ∠POM by substituting the given value:

130° + ∠POM = 180°

∠POM = 50°

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Answer:

Step-by-step explanation:

The total number of fives bills is 12 and the total number of tens bills is 18 and this can be determined by forming the linear equations.

Given :

Sarah has 30 bills in her wallet worth $240, all fives and tens.

The following steps can be used in order to determine the total number of fives bill and tens bills:

Step 1 - Let 'x' be the total bills of fives and 'y' be the total bills of tens.

Step 2 - The linear equation that represents the total number of bill is given by:

x + y = 30

x = 30 - y        --- (1)

Step 3 - Now, the linear equation that represents the total amount of the bill is given by:

5x + 10y = 240     ---- (2)

Step 4 - Substitute the value of 'x' in equation (2).

5(30 - y) + 10y = 240

150 - 5y + 10y = 240

5y = 90

y = 18

Step 5 - Substitute the value of 'y' in equation (1).

x = 30 - 18

x = 12

So, the total number of fives bills is 12 and the total number of tens bills is 18.

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Answer:

A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

Step-by-step explanation:

:D

Answer:

-216

Step-by-step explanation:

-6 X -6 X -6 = -216

Have a good day!

Answer:

-216

Step-by-step explanation:

I had a test just like this the should be -216

Answer:

I hope this helps! Please mark brainliest if the answer is correct!

Step-by-step explanation:

Let "x" be the measure of the smallest angle.

Then the largest angle is "3x - 32" and the middle angle is "8 +  1/2(3x - 32)".

There are 180 degrees in a triangle so adding the three angles gives us 180:

(x) + (3x - 32) + (8 + 1/2(3x - 32)) = 180

x + 3x + (3/2)x - 32 + 8 - 16 = 180

2x/2 + 6x/2 + 3x/2 - 40 = 180

11x/2 = 220

11x = 220(2)

11x = 440

x = 40

So the smallest angle is 40°

The largest angle is 3•40 - 32 = 120 - 32 = 88°

The middle angle is 8 + 1/2(88) = 8 + 44 = 52°

It would take 64 small cubes to fill the large cube. This is because the volume of a cube is equal to the length of its edges.

The amount of space occupied by an object or the amount of space an object can fill. It is usually expressed in cubic units, such as cubic centimeters or cubic meters.

This is because the volume of a cube is equal to the length of its edges cubed, or V = s³, where s is the length of the edge.

We can calculate the volume of the large cube by replacing the length of its edges with 5 inches, or V = 53 = 125 in³.

To find the number of small cubes, we must first figure out the volume of a single small cube.

We can do this by replacing the length of the small cube's edges with 2.5 inches, or V = 2.53 = 15.625 in³

We can then divide the volume of the large cube (125 in³) by the volume of the small cube (15.625 in³) to get the number of small cubes needed to fill the large cube, which is equal to

125 / 15.625 = 8 * 8 = 64.

Therefore, it would take 64 small cubes to fill the large cube.

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9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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Answer:

1.6 or 1.67

Step-by-step explanation:

Answer:

The slope is 1/6

Step-by-step explanation:

The equation is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.

From this, we know that 1/6 is the slope because it is plugged in for m.

Hope this helps! :)

Answer:

The slope is 1/6

Explanation:

The slope is always the coefficient of X

Answer:

$5 difference in rate at each step or change in hours.

Step-by-step explanation:

Answer:

\(p=\frac{v}{rt+1}\)

Step-by-step explanation:

v + p + prt

v = p(rt + 1)

v/rt+1 = p(rt + 1)/rt+1

v/rt+1 = p

Best of Luck!

Answer:

1 (give brainliest plss)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 5 • -8 = -40

Step-2 : Find two factors of -40 whose sum equals the coefficient of the middle term, which is -3 .

-40 + 1 = -39

-20 + 2 = -18

-10 + 4 = -6

-8 + 5 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 5

5x2 - 8x + 5x - 8

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (5x-8)

Add up the last 2 terms, pulling out common factors :

1 • (5x-8)

Step-5 : Add up the four terms of step 4 :

(x+1) • (5x-8)

Which is the desired factorization

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of Quadratic Equations.

Degree of a equation represents the highest power of the varible in the equation, For quadratic equation the degree is 2.

Leading Coefficient are the constant numbers that are significantly multiplied with the variables in the equation.

==> 5x^2 - 3x - 8 = 0

==> 5x^2 -8x +5x -8=0

==> x(5x-8) +1(5x-8)=0

==> (5x-8)(x+1) = 0

Answer:

72 miles ....then she snored off

Step-by-step explanation:

18 % of 400  = .18 * 400 =  72 miles

Answer:

280km

Step-by-step explanation:

Distance formula = Speed x Time

given Speed = 70km/h and

time taken = 4 hours (from 2pm to 6pm),

Distance between 2 towns = Speed x Time taken

= 70 x 4

=280km

✨__________________________________✨

4 is correct answer

Step-by-step explanation:

\(5x - 2 = 2x + 10 \\ 5x - 2x = 10 + 2 \\ 3x = 12 \\ x = \frac{12}{3} \\ x = 4\)

✨__________________________________✨

Written By: A Silent Voice☃️

Step-by-step explanation:

To calculate the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due ($32,000)

- PMT is the monthly payment we want to find

- r is the annual interest rate (7.9%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PMT = PV / ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n) = **$292.07**

Therefore, the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity is **$292.07**.

Danny has 42 nickels and 4 pennies.

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Answer:

1/4

Step-by-step explanation:

After simplification we got the above expression in the form 3f + 16m -56

The word "simplify" implies to turn something in a simpler form.

In mathematics, simplify an expression means write an expression in such a way that is comparatively less complicated than before. The main purpose of simplify an expression is to make it easy to solve as well as calculation.

3f + 8(2m-7)

we rearrange the expression by removing the parenthesis.

we remove the parenthesis by multiplying the factors.

3f + 8 × 2m - 8 × 7

3f + 16m -56

the above expression has no like terms to add or subtract so it is kept in this form.

Hence, 3f + 16m -56 is the simpler form.

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Answer:

That is the correct answer.

Step-by-step explanation:

I don't know how you would sell half a set of earrings, but 61.69 is correct. What I would do if you can talk to your teacher, and ask if you can round 15.5 to 16.

I don't believe this image is right. I haven't done this math for a while.

The 3rd and 4th expressions cannot be simplified using the quotient rule for exponents

The quotient rule for exponents states that if you have two exponents, and you want to divide them, you can do so by subtracting the exponent of the denominator from the exponent of the numerator.

The general form of the quotient rule:

xᵃ / xᵇ = xᵃ⁻ᵇ

Given:

(3²9⁻¹2³)/(8⁵7⁻²)

(3²9⁻¹2³)/(8⁵7⁻²) = (3² × 3²⁽⁻¹⁾ × 2³)/(8⁵×7⁻²)

                        = (3² × 3⁻² × 2³)/(2³⁽⁵⁾ ×7⁻²)

                        = (3²⁺⁽⁻²⁾ × 2³)/(2¹⁵ × 7⁻²)

                        = (3⁰ × 2³)/(2¹⁵ × 7⁻²)

                        = (1 × 2³)/(2¹⁵ × 7⁻²)

                        = (2³)/(2¹⁵ × 7⁻²)

                       = 2³⁻¹⁵ × 7²    ( quotient rule is used here)

                       = (2⁻¹²) (7²)

(4⁻²x⁻¹)/(4⁻¹x⁻²)

(4⁻²x⁻¹)/(4⁻¹x⁻²) = 4⁻²⁻⁽⁻¹⁾ × x⁻¹⁻⁽⁻²⁾  ( quotient rule is used here)

                       = 4⁻²⁻⁽⁻¹⁾ × x⁻¹⁻⁽⁻²⁾

                       = (4⁻¹) (x¹)

(6x⁻⁸z²)(6⁵x⁻¹z²)

(quotient rule cannot be used to simplify this expression because the two expressions are multiplying each other)

(q⁻⁵r¹¹)/(s⁶t⁻¹⁵)

(quotient rule cannot be used here  because there are no like bases)

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