Equations with one solution are different from equations with special solutions
because?

Answer: x=2

Step-by-step explanation: the x axis is the line that is horizontal. i use, “you walk before you jump” to remember that the “x” point is the one that is left to right, as opposed to up and down (y axis). the intercepting point is lined up with the x’s “2” mark.

Answer:

I'm sorry i can't help with all of the math, I do know that the answer for the radius is 4 though.

Step-by-step explanation:

The quotient of the provided polynomial divide by the (x+6) with the help of synthetic division method is,

\(f(x)=4x^2-27x+167-\dfrac{996}{x+6}\)

The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The polynomial given in the problem is,

\(4x^3-3x^2+5x+6\)

This polynomial is divided by the linear factor (x+6). Thus use -6 to for the synthetic division of polynomial as,

-6    | 4    -3        +5         6

x            -24     +162    -1002

Add the numbers as,

          4   -27   167   -996

Put these values, we get,

\(f(x)=4x^2-27x+167-\dfrac{996}{x+6}\)

Hence, the quotient of the provided polynomial divide by the (x+6) with the help of synthetic division method is,

\(f(x)=4x^2-27x+167-\dfrac{996}{x+6}\)

Learn more about factor of polynomial here;

https://brainly.com/question/24380382

Answer: D

Step-by-step explanation:

Edge 2023

The length of the rectangle is 19 cm.

The formula for the area of a rectangle,

Area = Length x Width

Given that the area is 336 cm squared.

So, we can set up an equation,

⇒ 336 = (w + 5)w

where w represents the width of the rectangle.

Expanding this equation,

⇒ 336 = w² + 5w

Moving all terms to one side:

⇒ w² + 5w - 336 = 0

This is a quadratic equation that we can solve using the quadratic formula,

⇒ w = (-5 ± √(5² - 4(1)(-336))) / (2(1))

⇒ w = (-5 ± 23) / 2

We'll take the positive value,

⇒ w = 14

So, the width of the rectangle is 14 cm.

We also know that the length is 5 cm more than the width,

Therefore,

⇒ l = w + 5

⇒ l = 14 + 5

⇒ l = 19

Therefore, the length of the rectangle is 19 cm.

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ12

Answer:

3 different ways

Step-by-step explanation:

pls mark brainliest

To approximate the required work using a Riemann sum, we divide the interval into smaller subintervals, select sample points within each subinterval, calculate the work done on each subinterval, sum up the individual work values, and refine the approximation by taking the limit as the number of subintervals approaches infinity.

When we want to approximate the required work using a Riemann sum, we break the interval into smaller subintervals of equal width Δx. By doing so, we create a partition of the interval. Within each subinterval, we select a sample point xi*.

To calculate the work done on each subinterval, we consider the force acting at the sample point xi*. We multiply this force by the distance traveled within that subinterval, which is Δx. This gives us the work done on that specific subinterval.

To estimate the total work, we sum up all the individual work values for each subinterval. This sum represents an approximation of the actual work.

To obtain a more accurate approximation, we take the limit as the number of subintervals, n, approaches infinity. This allows us to refine the partition and make the subintervals smaller, ultimately improving the accuracy of the Riemann sum approximation.

To know more about subintervals,

https://brainly.com/question/28204086

#SPJ11

Answer:

524.30

Step-by-step explanation:

Answer:

Bruce is 10 years old.

Step-by-step explanation:

m - Madge age.

b - Bruce age.

Madge is six years older than Bruce.

m=b+6 or m-6=b

In five years the sum of their ages will be 36.

m+5 - Madge age after 5 years.

b+5 - Bruce age after 5 years.

m+5+b+5=36

m=b+6

b+6+5+b+5=36

2b+16=36

2b=36-16

2b=20 /:2

b=10

m=b+6=10+6=16

.

Step-by-step explanation:

Hope this helps..............

brainliest please

a) The probability of picking S and S is 1/64

b) The probability of picking D and T is 1/64

c) The probability of picking S and T is 1/64

d) The probability of picking a vowel and a consonant is 3/16.

The word STUDENTS contains 8 letters. Each time we pick a letter from the bag, we replace it back, so the total number of outcomes for the first letter and the second letter is 8.

a) To find the probability of picking S and S, we can multiply the probability of picking S in the first draw (1/8) by the probability of picking S in the second draw (1/8), since we replace the letter after each draw:

P(S,S) = (1/8) x (1/8) = 1/64

b) To find the probability of picking D and T, we can multiply the probability of picking D in the first draw (1/8) by the probability of picking T in the second draw (1/8):

P(D,T) = (1/8) x (1/8) = 1/64

c) To find the probability of picking S and T, we can multiply the probability of picking S in the first draw (1/8) by the probability of picking T in the second draw (1/8):

P(S,T) = (1/8) x (1/8) = 1/64

d) To find the probability of picking a vowel and a consonant, we need to count the number of vowels and consonants in the word STUDENTS. There are 2 vowels (U and E) and 6 consonants (S, T, D, N). The probability of picking a vowel is 2/8 = 1/4, and the probability of picking a consonant is 6/8 = 3/4.

Since we replace the letter after each draw, the probability of picking a vowel and a consonant is:

P(vowel, consonant) = (1/4) x (3/4) = 3/16

To learn more about probability click on,

https://brainly.com/question/27628444

#SPJ1

A direction field for this system of linear differential equations can be drawn by plotting the values of x' for various values of x.  As t → ∞, the solutions approach either the equilibrium point (1,0) or (3,0).

a) A direction field for this system of linear differential equations can be drawn by plotting the values of x' for various values of x, and then using arrows to indicate the direction of the solution curves at each point.

In general, the solution curves will approach the equilibrium points, which are points where x' = 0. In this case, there are two equilibrium points: (1,0) and (3,0). The solutions that start near the equilibrium point (1,0) will approach it as t → ∞, and the solutions that start near the equilibrium point (3,0) will approach it as t → ∞.

b) As t → ∞, the solutions approach either the equilibrium point (1,0) or (3,0), and thus they settle down to a constant value.

c) The general solution of the system of equations can be found using the matrix exponential:

x(t) = e^(At)x₀

where x₀ is the initial condition and A is the matrix:

A = (3 -4| 1 -1)

The matrix exponential can be found using a variety of methods, including diagonalization and Jordan form. Once the matrix exponential is found, the general solution can be written in terms of x₀, which represents the initial condition.

--The question is incomplete, answering to the question below--

"x' = \(\left[\begin{array}{cc}3&-4\\1&-1\end{array}\right] x\)

(a) draw a direction field and sketch a few trajectories.

(b) describe how the solutions behave as t → [infinity].

(c) find the general solution of the system of equations."

To know more on direction field

https://brainly.com/question/14470445

#SPJ4

Answer:

40%

Step-by-step explanation:

you would first simply the fraction down

13 goes into both numbers so the fraction can be simplified to

2/5 which is think is simply enough to know that 2/5 is 40% but if not the explanation would be

100÷5 =20

20 x by the 2 from the fraction

= 40%

Step-by-step explanation:

65 = 100%

0.65 = 1%

26 = x%

x = (26 ÷ 0.65)%

x = 40%

Answer:

2(x+12)=4(x-3)

Step-by-step explanation:

Answer:

324, 900, 9

Step-by-step explanation:

When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!

Onto the answer, just follow the advice above:

36 * 3^2 = 36 * 9 = 324 square inches,

36 * 5^2 = 36 * 25 = 900 square inches,

36 * 0.5^2 = 36 * 0.25 = 9 square inches.

Hope this helps :)

We can write a proportion to solve

82 guests 91 guests

------------------- = -------------

656 dollars x dollars

Using cross products

82x = 91 * 656

82x =59696

Divide each side by 82

82x/82 = 59696/82

x =728

The party with 91 guests will cost 728 dollars

The crucial value (z) relies on the desired level of confidence and is predicated on a normal distribution when creating a confidence interval for a proportion (p) with a confidence level of 93%.

A 93% confidence level in this instance translates to an alpha level of 0.07 (1 - 0.93 = 0.07) that is split evenly between the two tails. In the usual normal distribution table, we search for the value that falls within the range of 0.07 to find the proper z-value. A 93% confidence level corresponds to a z-value of roughly 1.81. The confidence interval for the proportion p may be calculated using this number and provides a range where the genuine proportion is like to fall.

learn more about proportion here :

https://brainly.com/question/31548894

#SPJ11

Answer:

q = 1 , r = -5

other factors of polynomial:

(2x - 1) & (x + 2)

Step-by-step explanation:

In the first part, substitute x = 1 make it equal to 0.

Substitute x = 2 and make it equal to 12.

Rearrange both, until you have two linear equations.

Solve the set of simultaneous equation to find q and r .

Second part place the value of q and r to have the full polynomial.

Carry out long division, dividing the polynomial by the factor that's stated in the question (x - 1) and you will have a quadratic equation.

Factorise the quadratic equation to have the two other factors of the polynomial.

Hope this helps:))

Answer:

the value of x can be found as 10

Step-by-step explanation:

here we are given that a 6ft high man is flying a kite with a string of length 100ft at an angle of elevation 52° . We would like to calculate the height of the kite above the ground. For figure refer to the attachment. We would have to make use of trigonometric ratios here as ,

In ∆ ABE ,

\(\longrightarrow \sin 52^o = \dfrac{AB}{AE} \\ \)

\(\longrightarrow 0.8 =\dfrac{y}{100ft} \\ \)

\(\longrightarrow y =0.8(100ft) \\ \)

\(\longrightarrow y = 80ft \\ \)

Now the total height above the ground will be ,

\(\longrightarrow h = y + h_{man} \\ \)

\(\longrightarrow h = (80 + 6)ft\\ \)

\(\longrightarrow\underline{\underline{ h = 86\ ft. }} \\ \)

And we are done!

Answer:

A-both works

Step-by-step explanation:

one can simply sub into the second equation from the first step's one and remove an unknown, making it easy to solve

Chance is a term used to represent the percentage of time a specific result is expected to occur when the same basic procedure is repeated over and over again, where each repetition is independent.

Chance is a term that is used to describe the probability that a certain outcome will occur given a set of fundamental instructions repeated again with each repetition being independent.

Ultimately, this means the number of times a result of an event occurs when repeated over a number of times is chance.

Read more on chance:

https://brainly.com/question/30820369

#SPJ1

Answer: A. 2x+2y

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

Answer:

322 beavers

Step-by-step explanation:

280 × 1.15 = 322

Answer:

322

Step-by-step explanation:

15% of 280=42

280+42=322 beavers

Answer:

Step-by-step explanation:

5, 5, 5, 16, 16, 28, 29, 32, 35, 48

Mode: 5, 16

Median: 44/2 = 22

range: 48 - 5 = 43

mean: (5 + 5 + 5 + 16 + 16 + 28 + 29 +32 + 35 + 48)/10 = 219/10 = 21.9

Answer:

48 meters

Step-by-step explanation:

3*4 = 12

5*4 = 20

4*4 = 16

These are the sizes when the triangle enlarges with a scale factor of 4.

To find perimeter, you add the sides together

12+20+16 = 48

The perimeter is 48 meters

The perimeter of larger triangle is 48m.

Given that,

According to the scenario, calculation of the given data are as follows,

Perimeter of larger triangle =  4m \(\times\) ( 3m + 5m + 4m)

= 4m \(\times\) 12m

= 48 m

Learn more : https://brainly.com/question/11957651

Understanding a set’s nature or properties is made easier by its closure property

The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.

Why Closure Property is important?

Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”

Example – The set of even number is closed under subtraction

                   Even – Even = Even

                   6 – 4 = 2

To know more about Closure Property, visit the given link:

https://brainly.com/question/15198415

#SPJ4

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: