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lara [203]
3 years ago
6

Dan factored x^2+121 into (x+1-11)

Mathematics
1 answer:
babunello [35]3 years ago
4 0

Answer:

Your question is a little unclear.  If you are just trying to factor x² + 121, it's prime.  (can't be factored using real numbers).

Step-by-step explanation:

The difference of two squares is a special form.  a² - b² = (a+b)(a-b).  

But, the sum of two squares is prime.  a²+ b² cannot be factored.

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X^3+13x^2+32x+20<br> please help me factorizing above equation
Mazyrski [523]
x^3+13x^2+32x+20=x^3+x^2+12x^2+ 12x+20x+20 =\\\\=x^2(x+1)+12x(x + 1 )+20(x+1 )=(x+1)(x^2+12x+20)=\\\\=(x+1)[(x^2+10x+2x+20)]=(x+1)[x(x +10)+2(x+10))]=\\\\=(x+1) (x +2) (x+10)


7 0
3 years ago
As an estimation we are told 5 miles is 8 km.<br> Convert 32 km to miles.
Gala2k [10]

Answer:

19.8839

Step-by-step explanation:

can i have brainliest

5 0
3 years ago
Read 2 more answers
A family has two cats named Gordo and Flaco. Gordo weighs 15 pounds and Flaco weighs 8 pounds. A cat’s weight is classified as u
Elena-2011 [213]

Answer:

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes Gordo unhealthy.

Step-by-step explanation:

μ = mean weight = 9.5 pounds

σ = standard deviation = 1.5 pounds

This is a normal distribution problem

We first calculate the limit of the bottom 5% of weights

Let the z-score for this limit be z'

P(z < z') = 0.05

From the normal distribution table,

z' = -1.645

And the limit for the top 5% which is z" = 1.645.

The weight that corresponds to these scores are then calculated.

Standardized scores are given as

z = (x - μ)/σ

So,

z' = (limit for the bottom 5% - μ)/σ

-1.645 = (limit for the bottom 5% - 9.5)/1.5

limit of the bottom 5% = (-1.645)(1.5) + 9.5 = 7.033 pounds

z" = ( (limit for the top 5% - μ)/σ

1.645 = (limit for the top 5% - 9.5)/1.5

limit of the bottom 5% = (1.645)(1.5) + 9.5 = 11.968 pounds

Therefore the healthy weight range for cats is (7.033 < x < 9.968)

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes the cat unhealthy.

Flaco's weight = 8 pounds

Flaco's weight lies in the healthy weight range for cats. Hence, Flaco is a healthy cat.

8 0
2 years ago
The function f is defined on the real numbers by f(x) = x + 2<br> What is the value of f(-3)?
kvasek [131]

Answer:

-1

Step-by-step explanation:

We can plug in -3 for x and solve:

f(-3) = -3 + 2

= -1

6 0
2 years ago
Solve 2(x-3)&gt;-3(-3+x)<br><br> (Picture added, multiple choice)
Rudiy27

Answer:

<u>Answer</u><u>:</u><u> </u><u>D</u>

Step-by-step explanation:

2(x - 3) \geqslant  - 3( - 3 + x)

open the brackets [ distributive property ]

2x - 6 \geqslant 9 - 3x

collect like terms:

2x + 3x \geqslant 9 + 6 \\ 5x  \geqslant 15

divide either sides by 5:

\frac{5x}{5}  \geqslant  \frac{15}{5}  \\  \\ { \underline{ \bf{ \:  \: x \geqslant 3 \:  \: }}}

3 0
2 years ago
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