Twice a number decreased by 44 is 6 times the sum of the number and 3 times the number. find the number

The recursive rule for the sequence f(n) = 2 + (-3)(n-1) is f(1) = 2 and f(n) = f(n-1) - 3 for n > 1, where each term is 3 less than the previous term.

The given sequence can be expressed as a recursive formula. A recursive formula defines each term of a sequence using the preceding term(s). To find the recursive rule for the sequence f(n) = 2 + (-3)(n-1), let's write out the first few terms:

Examining the pattern, each subsequent term is 3 less than the previous term. Thus, the recursive rule is:

This means that, to get the next term in the sequence, we subtract 3 from the previous term, starting with the second term.

The zeros of a function are the values of x for which the function equals zero. The function given here is a cubic function, and finding its zeros can be complex, often requiring numerical methods or advanced mathematical approaches like the cubic formula.

This problem deals with finding the zeros of the cubic function y=x^3+6x^2+x+6. A zero of a function is a value of x for which the function equals zero. You can find the zeros of this function by setting the equation equal to zero and solving for x.

Unfortunately, this particular cubic equation does not have an easy solution using basic algebraic methods. We can't factor it in an easy and straightforward manner. However, you can use numerical methods, or online calculator tools, to get an approximate value for the zeros. Alternatively, you can use the cubic formula (somewhat similar to the quadratic formula), but this requires knowledge of more advanced mathematics.

Please consult your teacher or textbook for more detailed instructions on how to use higher level methods to solve cubic equations. Remember that each method has its own level of accuracy and complexity, so choose the method that best suits your abilities and the requirements of your task.

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Answer:

B is the right answer [tex]100^{o}[/tex]

Step-by-step explanation: Hope This Helps ;)

Answer:  The required probability of three consecutive successful launches is 91.27%.

Step-by-step explanation:  Given that a satellite launch has a 97% chance of success.

We are to find the probability of three consecutive successful launches.

Let P(A) denotes the probability of the event of the success of the satellite launch.

Then, according to the given information, we have

[tex]P(A)=97\%=\dfrac{97}{100}=0.97.[/tex]

Therefore, the probability of three consecutive successful launches will be

[tex]p\\\\=P(A)\times P(A)\times P(A)\\\\=0.97\times0.97\times0.97\\\\=0.912673\\\\=0.912673\times100\%\\\\=91.2673\%\\\\=91.27\%.[/tex]

Thus, the required probability of three consecutive successful launches is 91.27%.

Answer:

The diameter of B is from -2 to 2, which = 4 units.

The diameter of B' is from -1 to 1, which equals 2 units.

2/4 = 1/2 = 0.5 scale factor.

The answer is C. 0.5

Step-by-step explanation:

Answer:

Option 4 - She will have $16,126.80

Step-by-step explanation:

Given : Gracie Shay wants to buy a new Hummer in 5 years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now, at a rate of 6 percent compounded semiannually.

To find : Which option she will have ?

Solution :

Using compound interest formula,

[tex]A=P(1+r)^t[/tex]

Where, A is the amount  

P is the principle P=12,000    

Compounded semiannually,

r is the rate 6%=0.06

[tex]r=\frac{0.06}{2}=0.03[/tex]

t is the time 5 years

[tex]t=5\times 2=10[/tex]

Substitute the value,

[tex]A=P(1+r)^t[/tex]

[tex]A=(12000)(1+0.03)^{10}[/tex]

[tex]A=12000\times (1.03)^{10}[/tex]

[tex]A=12000\times 1.3439[/tex]

[tex]A=16126.99[/tex]

The amount she will have $16126.99.

Therefore, Option 4 is correct.

Answer:

you would be right if you × it then it would be D but you always + so if you do 4/36 + 18/36= 11/18 is your answer

The polynomial 16x+2 is a binomial.

Adding the term xy to the polynomial would make it a trinomial.

Hence, the polynomial 16x+2 is a binomial.

Adding the term xy to the polynomial would make it a trinomial.

Learn more about polynomial here:

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Answer:

True

Step-by-step explanation:

Percentage is expressed as the part from 100.

Thus, Percentage sign means divide by 100.

Also, it is the resultant number when divided by 100.

Thus, the given statement is absolutely true.

In geometry, zero-dimensional figures do not extend in any direction and include 'points', while one-dimensional figures extend in one direction and include 'lines', 'segments', and 'rays'. Therefore, the zero or one-dimensional figures in the given options are 'point', 'line', 'segment', and 'ray'.

In geometry, quantities can be zero, one, two, or three dimensional. Zero-dimensional figures are those that do not extend in any direction. The only such geometric figure is a point (Option A). One-dimensional figures, on the other hand, extend in one direction. These include a line (Option F), a segment (Option E), and a ray (Option C), all of which have length but no breadth or height. Therefore, the zero-dimensional or one-dimensional figures from the given options are point, line, segment, and ray.

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Answer:

He earned $ 360.00.

Step-by-step explanation:

Given,

The amount he gets for a package of delivery = $ 7.50

The number of packages he delivered in a week = 48,

Hence, the amount he earned in the week = The amount he gets for a package of delivery × The number of packages he delivered

= 7.50 × 48

= $ 360.00

The area of the larger similar triangle can be calculated using the proportion of the squares of the lengths of the corresponding sides. Using this principle, we find that the area of the larger triangle is 72 square inches.

In mathematics, the area (Area) of similar triangles is proportional to the square of their corresponding sides. Given that the side length of the smaller triangle is 4 inches and the side length of the larger similar triangle is 8 inches, we can set up an equation relating the side lengths and areas of the two triangles. The smaller triangle has an area of 18 square inches, and we'll call the area of the larger triangle A.

The equation is (Area of larger triangle / Area of smaller triangle) = (Side of larger triangle / Side of smaller triangle)2. Substituting the given values, we get (A / 18) = (8 / 4)2. Simplifying the right side of the equation gives us (A / 18) = 4. Multiplying each side of the equation by 18 allows us to solve for A, indicating that the area of the larger triangle is 72 square inches.

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The area of the larger triangle is 72 square inches.

Given that the smaller triangle has a side length of 4 inches and an area of 18 square inches, and the larger triangle has a corresponding side length of 8 inches, we can calculate the ratio of the side lengths:

[tex]\[ \text{Ratio of side lengths} = \frac{\text{Side length of larger triangle}}{\text{Side length of smaller triangle}} = \frac{8}{4} = 2 \][/tex]

Now, we can find the ratio of the areas of the two triangles by squaring the ratio of their side lengths:

[tex]\[ \text{Ratio of areas} = \left(\frac{8}{4}\right)^2 = 2^2 = 4 \][/tex]

Since the area of the smaller triangle is 18 square inches, we can find the area of the larger triangle by multiplying the area of the smaller triangle by the ratio of the areas:

[tex]\[ \text{Area of larger triangle} = \text{Area of smaller triangle} \times \text{Ratio of areas} \] \[ \text{Area of larger triangle} = 18 \times 4 \] \[ \text{Area of larger triangle} = 72 \text{ square inches} \][/tex]

Therefore, the area of the larger triangle is 72 square inches.