if
the roots of ax^2+bx+c=0 are u and v, then the roots of cx^2+bx+a=0
are

Answer:

(-2,1)(-1,1)(0,1)(1,1) or y=2 x=[-2,1]

Step-by-step explanation:

Brainliest Please

Answer:

12 dollars each

Step-by-step explanation:

do the math

Answer:

$1.7

Step-by-step explanation:

3 x 9 = 27

45 ÷ 27 =

about $1.7

Answer:

The original number is 17.

Step-by-step explanation:

\(3(x+30)=141\\\\\frac{3(x+30)}{3}=\frac{141}{3}\\\\x+30=47\\\\x+30-30=47-30\\\\x=17\)

Answer:

The number is 17

Step-by-step explanation:

Let the number be n.  Increasing this by 30 results in n + 30.  Tripling this result results in 3(n + 30) = 141.

Multiplying as indicated:  3n + 90 = 141, or

                                            3n = 51

Solving for n, we get n = 51/3 = 17

f(4) = -8 is another way of saying the point is (4 , -8)

f(-3) = 1 is another way of saying the point is (-3 , 1)

to get the equation of any straight line, we simply need two points off of it, so let's use those two provided

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{4}}} \implies \cfrac{1 +8}{-7} \implies \cfrac{ 9 }{ -7 } \implies - \cfrac{9 }{ 7 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{- \cfrac{9 }{ 7 }}(x-\stackrel{x_1}{4}) \implies y +8 = - \cfrac{9 }{ 7 } ( x -4) \\\\\\ y+8=- \cfrac{9 }{ 7 }x+\cfrac{36}{7}\implies y=- \cfrac{9 }{ 7 }x+\cfrac{36}{7}-8\implies {\Large \begin{array}{llll} y=- \cfrac{9 }{ 7 }x-\cfrac{20}{7} \end{array}}\)

Answer:

X + 2y = 6

first point : ( 0,3 )

second point : ( 4,1 )

third point : ( 2,2 )

forth point : ( 6,0 )

2x + 4y = 4

first point : ( 0,1 )

second point : ( 2,0 )

third point : ( -2,2 )

forth point : ( -4,3 )

An equation is modeled. The value of x makes the equation true is -1.

Equation:

Conditional comparisons apply only to specific values ​​of variables. An equation consists of two expressions joined by an equal sign ("="). Expressions for both sides of the equals sign are called the "left side" and the "right side" of the equation. Usually the right side of the equation is assumed to be zero. If this is accepted, it does not reduce the generality, since it can be done by subtracting the right side from the two sides.

According to the Question:

5x + 6 = 1

5x = -5

x = -1

Complete Question:

An equation is modeled. What value of x makes the equation true?

(1) 1

(2) 7

(3) -5

(4) -1

Learn more about Equation:

https://brainly.com/question/29657983

#SPJ4

Step-by-step explanation:

-9.382649173.62 if you do the math

Answer:

I'm not sure what answer your looking for exactly

Step-by-step explanation:

3(-3x+9x+30x) -3x³ -18²(-24x) combine like terms

3+12x-3x³-18x² subsitute x

-4: 3+(-4)-( -1728)-( -5184)=6867

-2: 3+(-24)-(216)-1296)=-1533

0: 3

Step-by-step explanation:

I hope that helped :))))))))))))))))

Answer:

Hey there!

6x>-18

Divide by 6 on both sides

x>-3

Let me know if this helps :)

Answer:

if the two angles are equal

we use sss therom to solve it

2ft/6ft=24ft/xft

x=(6*24)/2

=72

The coordinates of the new position of vertex C is (4, 2).

The area of the circle is 28 cm²

To enlarge a triangle by a scale factor of 2 from the origin (0,0), we simply need to multiply the coordinates of each vertex by 2.

Thus, the new position of vertex C can be found by multiplying its initial coordinates (2,1) by 2. That is:

(2,1) * 2 = (4,2)

Thus, the new position of vertex C is (4,2).

The area of a circle is given by:

A = πr²

Where r is the radius of the circle

A = πr²

A = 22/7 * 3²

A = 28 cm²

Learn more about coordinates on:

https://brainly.com/question/11337174

#SPJ1

In the special case of two degrees of freedom, the chi-squared distribution does not coincide with the exponential distribution. The chi-squared distribution is a continuous probability distribution that arises in statistics and is used in hypothesis testing and confidence interval construction. It is defined by its degrees of freedom parameter, which determines its shape.

On the other hand, the exponential distribution is also a continuous probability distribution commonly used to model the time between events in a Poisson process. It is characterized by a single parameter, the rate parameter, which determines the distribution's shape.

While both distributions are continuous and frequently used in statistical analysis, they have distinct properties and do not coincide, even in the case of two degrees of freedom. The chi-squared distribution is skewed to the right and can take on non-negative values, while the exponential distribution is skewed to the right and only takes on positive values.

The chi-squared distribution is typically used in contexts such as goodness-of-fit tests, while the exponential distribution is used to model waiting times or durations until an event occurs. It is important to understand the specific characteristics and applications of each distribution to appropriately utilize them in statistical analyses.

Learn more about probability distribution here:

brainly.com/question/29062095

#SPJ11

Answer:

4 1/4 i think

Step-by-step explanation:

4.4*10/1*10

=44/10

= 22/5

= 2 ²/5

Answer:

1,200 ft^2

Explanation:

The area of a parallelogram with height h and base length b is given by

Now, in our case b = 60 ft and h = 20 ft; therefore,

which is our answer!

Answer:

2/15

Step-by-step explanation:

2/3*1/5=2/15

Answer:

0.133

Step-by-step explanation:

Answer:

57 degrees

Step-by-step explanation:

because it is the same as the other side

Answer:

108

Step-by-step explanation:

12-8(-12)

12-(-96)

12+96

108

Answer:

600,000

Step-by-step explanation:

The mathematical concept demonstrated in this question is the process of exponential growth. Exponential growth demonstrates an increase in quantity by a percentage or factor over time. It is represented by the general formula \(f(x) = a(1+r)^{x}\) where a is the initial amount, r is the growth rate, and x is the time interval expressed as an integer.

For this problem, we can see that the initial population of the town is 345,000, and it increases by a rate of 20% each year. We can determine that the growth rate is 20% because 1 + r = 1.2, so r must be equal to .20 (or 20%). We are given that t = 3, so we can plug that value in to the function given.

We calculate the population in 3 years to be 596,160. This can be approximated to 600,000.

B) 2 hours and 15 minutes

Jill spent 3 hours at the mall and it took Jack 45 minutes to get back home.

3.00 - 0.45 = 2.15

Have a luvely day!

5. x=60

6. x= 31, y=57

7. x=36, y=144, z=90

Answer:

Step-by-step explanation:

thank you you amazing stranger

Answer:

$13 overpayment

Step-by-step explanation:

We can find the amount Trevor should pay each month by dividing the $26,555 by 36 months:

               ($26,555/(36 months)) = $737.64 per month

Since Trevor decide to round up to the nearest dollar, he will pay $738 each month.  That's an overpayment of $0.361 each month.

After 36 months of overpaying by $0.361 each month, Trevor will have overpaid:

  ($0.36/month)*(36 months) = $13 overpayment

To design a circular garden that meets the client's specifications, we can follow these steps:

Step 1: Determine the coordinates of the center of the circular garden.

Given that the circular garden must be located 10 feet from one of the corners of the rectangular plot of land, we can assume that the center of the circular garden will be at a point (x, y) that is 10 feet away from one of the corners. Let's say the rectangular plot of land has corners at (0, 0), (50, 0), (50, 60), and (0, 60) (assuming a coordinate system with the bottom left corner of the plot as the origin). If the circular garden is 10 feet away from the corner at (0, 0), then the center of the circular garden will be at (x, y) = (10, 10).

Step 2: Write the equation of the circle.

The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Plugging in the values for the center of the circular garden and the diameter of 40 feet (which gives a radius of 20 feet), we get:

(x - 10)^2 + (y - 10)^2 = 20^2

Step 3: Ensure that the circular garden fits within the rectangular plot of land.

Since the circular garden must fit within the rectangular plot of land, we need to make sure that the coordinates of the center of the circular garden and the diameter of the circle do not exceed the dimensions of the rectangular plot. In this case, with a rectangular plot of 50 feet by 60 feet, the coordinates of the center of the circular garden at (10, 10) and a diameter of 40 feet (radius of 20 feet) would fit within the rectangular plot.

Step 4: Calculate the area of the circular garden.

The area of a circle with radius r is given by the formula:

Area = π * r^2

In this case, with a radius of 20 feet, the area of the circular garden would be:

Area = π * 20^2 = 400π square feet

Step 5: Ensure that the area of the circular garden meets the minimum requirement.

Given that the area of the circular garden must be at least 1256.64 square feet, we can check that the calculated area of 400π square feet meets this requirement.

In conclusion, the circular garden with a center at (10, 10) and a diameter of 40 feet, designed using the distance formula and equation of the circle, would fit within the rectangular plot of land and have an area of 400π square feet, which satisfies the minimum requirement of at least 1256.64 square feet.

a) Using the Euclidean algorithm, we can find gcd (707,413) as follows:707 = 1 · 413 + 294413 = 1 · 294 + 119294 = 2 · 119 + 562119 = 2 · 56 + 71356 = 4 · 71 + 12 71 = 5 · 12 + 11 12 = 1 · 11 + 1

Thus, gcd (707,413) = 1.

We can find the coefficients s and t that solve the equation 707s + 413t

= 1 as follows:1 = 12 - 11 = 12 - (71 - 5 · 12) = 6 · 12 - 71 = 6 · (119 - 2 · 56) - 71

= - 12 · 56 + 6 · 119 - 71

= - 12 · 56 + 6 · (294 - 2 · 119) - 71 = 18 · 119 - 12 · 294 - 71

= 18 · 119 - 12 · (413 - 294) - 71 = 30 · 119 - 12 · 413 - 71

= 30 · (707 - 1 · 413) - 12 · 413 - 71 = 30 · 707 - 42 · 413 - 71

Thus, s = 30, t = -42. So we have found that 707(30) + 413(−42) = 1.

b) Since 707s + 413t = 1 and 9 does not divide 1, the equation 707x + 413y = 9 has no integer solutions. Therefore, we can conclude that there are no such integers x and y.

To know more about Euclidean visit :

https://brainly.com/question/3589540

#SPJ11

Answer:

B

Step-by-step explanation:

The coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)

What is section formula?

Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. The section formula can be given as

\((\frac{mx_{2}+nx_{1} }{m+n} ,\)\(\frac{my_{2}+ny_{1} }{m+n})\) where \((x_{1},y_{1} ),(x_{2},y_{2} )\) are the endpoints of the segment and this points are divided in the ratio \(m:n\)

We are given the coordinates as (-1,-2) and (8,4)

This segment is divided in ratio 2:1

We use section formula to find the coordinates

the x- coordinates can be given as

\(x=\frac{2(8)+1(-1)}{2+1}\)

\(x=\frac{16-1}{3}\\\)

\(x=\frac{15}{3}\)

\(x=5\)

Similarly the y coordinate can be given as

\(y=\frac{2(4)+1(-2)}{2+1}\)

\(y=\frac{8-2}{3}\)

\(y=\frac{6}{3}\)

\(y=2\)

Hence the coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)

To learn more about the section formula please refer

https://brainly.com/question/26433769

#SPJ9

Answer: D

Step-by-step explanation:

a^2 +b^2 = c^2

\(3\sqrt{2}^2\)= 18

3\sqrt{2}^2= 18

18 + 18 = 36

The square root of 36 is 6

Answer:

D no is correct ans

Step-by-step explanation:

using pythagoras thoerem h^2=p^2+b^2

and put the value P=3root 2 and b =3root2 and take out h

The measure of the smaller angle is 45°.

An heptagon is a figure with 7 sides, and the sum of the interior angles is equal to 900°.

Then here we can write a linear equation that depens on x, where we add all the given angles and we know that it must be equal to 900.

2x + 3x + 4x + 5x + 7x + 9x + 10x = 900

Solving that linaer equation for x:

(2 + 3 + 4 +5 + 7 + 9 + 10)*x = 900

40x = 900

x = 900/40  = 22.5

The measure of the smaller angle is:

(2x)°

replacing the value of x that we just got we will get:

2*22.5° = 45°

Learn more about interior angles at:

https://brainly.com/question/24966296

#SPJ1

Answer:

The last option:  \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

Step-by-step explanation:

Main concepts:

Concept 1. Parts of a Radical

Concept 2. Radicals as exponents

Concept 3. Exponent properties

Concept 4. How to simplify a radical

Concept 1. Parts of a Radical

Radicals have a few parts:

If the index isn't shown, it is the default index of "2".  This default index for a radical represents a square root, which is why people sometimes erroneously call the radical symbol a square root even when the index is not 2.

In this situation, the radical's index is 4, and the radicand is 81 x^18 y^6.

Concept 2. Radicals as exponents

For any radical, the entire radical expression can be rewritten equivalently as the radicand raised to the power of the reciprocal of the index of the radical.  In equation form:

\(\sqrt[n]{x} =x^{^{\frac{1}{n}}}\)

So, the original expression can be rewritten as follows:

\(\sqrt[4]{81x^{18}y^{6}}\)

\((81x^{18}y^{6})^{^{\frac{1}{4}}}\)

Concept 3. Exponent properties

There are a number of properties of exponents:

Continuing with our expression, \((81x^{18}y^{6})^{^{\frac{1}{4}}}\), we can apply the "distributive" property since all of the parts are multiplied to each other...

\((81)^{^{\frac{1}{4}}}(x^{18})^{^{\frac{1}{4}}}(y^{6})^{^{\frac{1}{4}}}\)

Applying the "Bases raised to powers, raised again to another power, multiplies powers" rule for the parts with x and y...

\((81)^{^{\frac{1}{4}}}(x^{^{\frac{18}{4}}})(y^{^{\frac{6}{4}}})\)

Reducing those fractions, (both the numerators and denominators have a factor of 2)...

\((81)^{^{\frac{1}{4}}}(x^{^{\frac{9}{2}}})(y^{^{\frac{3}{2}}})\)

Rewriting the exponent of the "81" back as a radical...

\(\sqrt[4]{81} x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

Concept 4. How to simplify a radical

For any radical with index "n", the result is the number (or expression) that when multiplied together "n" times gives the radicand.

In our case, the index is 4.  So, we're looking for a number that when multiplied together four times, gives a result of 81.

One method of simplifying radicals is to completely factor the radicand into prime factors, and forms groups (each containing an "n" number of matching items).

Note that 81 factors into 9*9, which further factors into 3*3*3*3

This is a group of 4 matching items, and since the index of the radical is 4, we have found a group that can be factored out of the radical completely:

\(\sqrt[4]{81} =\sqrt[4]{(3*3*3*3)}=3\)

So, our original expression, simplifies finally to \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

This is the last option for the multiple choice.