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2 years ago

X(x+1)+(x+1)(x+2)+(x+2)(x+3) solve the equation for x

Mathematics

2 answers:

muminat2 years ago

6 0

Answer:

$3 x^{2}$ + 9 $x$ + 8

(This is an expression, not an equation so you can't find x with this expression. Equations have an = sign which can help isolate x on one side to find the value of x. This is the closest thing you could do for an answer for this expression.)

Step-by-step explanation:

x(x+1)+(x+1)(x+2)+(x+2)(x+3)

= (x)(x) + (x)(1) + (x)(x) + (x)(2) + (1)(x) + (1)(2) + (x)(x) + (x)(3) + (2)(x) + (2)(3)

= x^2 + x + x^2 + 2x + x+ 2 + x^2 + 3x + 2x + 6

= (x^2+x^2+x^2) + (x+2x+x+3x+2x) + (2+6)

= $3x^{2}$ + 9 $x$ + 8

So first you expand the brackets and then you combine like terms.

viva [34]2 years ago

4 0

Answer:

3x²+9x+8

Step-by-step explanation:

x²+x+x(x+2)+1(x+2)+x(x+3)+2(x+3)

x²+x+x²+2x+x+2+x²+3x+2x+6

x²+x²+x²+x+2x+x+3x+2x+2+6

3x²+9x+8

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Determine the equations of the vertical and horizontal asymptotes if any for h(x)=(x+1)^2/x^2-1

shepuryov [24]

ANSWER

Vertical asymptote:

x=1

Horizontal asymptote:

y=1

EXPLANATION

The given rational function is

$h(x) = \frac{ {(x + 1)}^{2} }{ {x}^{2} - 1 }$

$h(x) = \frac{ {(x + 1)}^{2} }{ ({x} - 1)(x + 1)}$

$h(x) = \frac{ (x + 1)(x + 1) }{ ({x} - 1)(x + 1)}$

$h(x) = \frac{ x + 1}{ {x} - 1}$

The vertical asymptote occurs at

${x} - 1 = 0$

$x = 1$

The vertical asymptotes is x=1

The degree of the numerator is the same as the degree of the denominator.

The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.

$y = \frac{1}{1}$

y=1

8 0

2 years ago

The lengths of brook trout caught in a certain Colorado stream are normally distributed with a mean of 14 inches and a standard

mezya [45]

Answer:

0.6563 or 65.63% of brook trout caught will be between 12 and 18 inches

Step-by-step explanation:

Mean trout length (μ) = 14 inches

Standard deviation (σ) = 3 inches

The z-score for any given trout length 'X' is defined as:

$z=\frac{X-\mu}{\sigma}$ e interval

For a length of X =12 inches:

$z=\frac{12-14}{3}\\z=-0.6667$

According to a z-score table, a score of -0.6667 is equivalent to the 25.25th percentile of the distribution.

For a length of X =18 inches:

$z=\frac{18-14}{3}\\z=1.333$

According to a z-score table, a score of 1.333 is equivalent to the 90.88th percentile of the distribution.

The proportion of trout caught between 12 and 18 inches, assuming a normal distribution, is the interval between the equivalent percentile of each length:

$P(12\leq X\leq 18) = 90.88\% - 25.25\%\\P(12\leq X\leq 18) = 65.63\%$

8 0

3 years ago

The age of a father is to less than seven times the age of his son in three years the sum oftheir ages will be 52 if the sons pr

vekshin1

Answer:

The correct answer is:

(7s-2)+3+(s+3) = 52, or 8s+4 = 52.

Step-by-step explanation:

Since s is the son's age, "two less than seven times" the son's age would be represented by 7s-2. To represent this in 3 years, we would add 3: (7s-2)+3. In 3 years, the son's age, s, would be represented by s+3. We are told that the sum of these ages will be 52; this gives us (7s-2)+3+(s+3) = 52.

To simplify this, combine like terms. 7s+s = 8s; -2+3+3 = 4. This gives us 8s+4=52.

3 0

3 years ago

A grocery store is having a "buy 2 get 1 free" promotion on their six-pack cans of orange juice. If Mrs. VanCleave decides to ta

pashok25 [27]

Buys 2 gets 1 free okay so ..
Each pack has 6
She buys 6*2 = 12+ 6 because it’s the free pack it’ll be 18 cans per purchase
If she does this for 7 days (a week )
We will do 18 times 7

18*7 = 126 cans

Mrs. VanCleave will have 126 cans of orange juice.

(Can you make me the brainlist if this helps you ) thanks

4 0

2 years ago

Help me with this math question pls!! Find the value of x

vfiekz [6]

Answer:

x = 3

Step-by-step explanation:

using the mid segment formula since quadrilateral WZYP is similar to that of MZYT, this is expressed as;

29 = 1/2(23 +11x+2)

Cross multiply

2(29) = 23+11x+2

58 = 25 + 11x

11x = 58 - 25

11x = 33

Divide both sides by 11

11x/11 = 33/11

x = 3

Hence the value of x is 3

3 0

3 years ago

X(x+1)+(x+1)(x+2)+(x+2)(x+3) solve the equation for x​

X(x+1)+(x+1)(x+2)+(x+2)(x+3) solve the equation for x