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steposvetlana [31]
3 years ago
14

What is the correct answer and how can this be solved?

Mathematics
2 answers:
MissTica3 years ago
6 0

Answer:

\boxed{\displaystyle \frac{1}{19}}

Step-by-step explanation:

\displaystyle \frac{n+2}{2n^2 +3n-2}

Replace n with 10 to find the 10th term.

\displaystyle \frac{10+2}{2(10)^2 +3(10)-2}

Evaluate.

\displaystyle \frac{12}{2(100) +30-2}

\displaystyle \frac{12}{200 +30-2}

\displaystyle \frac{12}{228}

Simplify.

\displaystyle \frac{1}{19}

pav-90 [236]3 years ago
5 0

Answer:

$\mathbf{\frac{1}{19} }

Step-by-step explanation:

$$\bullet \Nth \ Term;\\$$$\frac{n+2}{2n^{2} +3n-2}

$$\bullet U_{10} \ Term;\\\\$$\boxed{\frac{(10+2) }{2*10^{2} +3*10-2}=  \frac{1}{19} }

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Among all pairs of numbers with a sum of 105 , find the pair whose product is maximum. Write your answers as fractions reduced t
Bond [772]

Answer: Hence Pair( x, y) = [ 105/2, 105/2]

Step-by-step explanation:

Given that;

Among all pairs of numbers with a sum of 105;

the pair whose product is maximum = ?

so let pairs of numbers with a sum of 105 be x and y respectively

x + y = 105

let y = 105 - x

now

product = xy =  x( 105 - x ) = 105x - x²

now

p(x) = 105x - x²

for maximum value of p

dp/dx =0

⇒ dp/dx = 105 - 2x = 0

2x = 105

x = 105/2

y + x = 105

y = 105 - x

y = 105 - 105/2 = 105/2

Hence Pair( x, y) = [ 105/2, 105/2]

8 0
3 years ago
un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿Aquien le
vesna_86 [32]

Answer:

El niño con 14 años es el que tiene más derechos según su edad.

Step-by-step explanation:

Aquí, tenemos un abuelo que quiere compartir una cantidad de dinero entre sus nietos y queremos saber cuál de sus nietos tiene más derecho a este dinero proporcionalmente.

Creo que va a utilizar la edad de los niños como valor de proporcionalidad.

Así, compartiendo la cantidad entre sus hijos, tenemos; 14: 10: 6 que es 7: 5: 3

Entonces, lo que esto significa es que el niño con 14 años tomará 7 de los 15 lugares y es el que tomará la cantidad más alta.

Entonces, usando la edad como criterio, el niño con 14 años tiene más derecho a la cantidad a compartir.

7 0
3 years ago
The question is in the picture. The answer is 14 but I don't know how to get that.
andrezito [222]
Let's convert the problem into Arithmetic progression:
It would be: 5, 9, 13, .... 

Here, a = 5, d = 9 - 5 = 4
We know, S(n) = n/2 [ 2a + (n-1)d ]

Substitute the known values, 
434 = n/2 [ 2(5) + (n - 1)4 ]
434 * 2 = n [ 10 + 4n - 4 ]
868 = 10n + 4n² - 4n
= 4n² + 6n - 868 = 0

d = b² - 4ac
d = 6² - 4(4)(-868)
d = 36+13888
d = 13924

Now, roots = -b +- √d / 2a
= (-6 + √13924) / 2(4)   OR  (-6 - √13924) / 2(4)
= (-6 + 118) / 8   OR  (-6 - 118) / 8
= 112/8  OR  -124/8
= 14 OR -15.5

As number of sticks can't be in negative/decimal or fraction form, -15.5 would be fully rejected.

In short, Your Answer would be 14 [ Remaining root ]

Hope this helps!
7 0
3 years ago
Read 2 more answers
I need answer ASAP<br> If f(x) = 2x+1 and g(x) = 3x-2 Find f[g(1)] =
Nadya [2.5K]

Answer:

f[g(1)] = 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 2x + 1

g(x) = 3x - 2

<u>Step 2: Find g(1)</u>

  1. Substitute in <em>x</em>:                    g(1) = 3(1) - 2
  2. Multiply:                               g(1) = 3 - 2
  3. Subtract:                              g(1) = 1

<u>Step 3: Find f[g(1)]</u>

  1. Substitute in g(1):                    f[g(1)] = 2(1) + 1
  2. Multiply:                                   f[g(1)] = 2 + 1
  3. Add:                                         f[g(1)] = 3
7 0
3 years ago
What are the factors of the expression (y-2)(x+3)
mr Goodwill [35]
The factors of the expression is 2and -3
8 0
3 years ago
Read 2 more answers
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