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3 years ago

Could I solve this inequality by completing the square? How would I do so?

Mathematics

1 answer:

sammy [17]3 years ago

8 0

Answer:

$\large\boxed{x>-2+\sqrt{14}\ \vee\ x$

Step-by-step explanation:

$x^2+4x>10\\\\x^2+2(x)(2)>10\qquad\text{add}\ 2^2=4\ \text{to both sides}\\\\x^2+2(x)(2)+2^2>10+4\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2>14\Rightarrow x+2>\sqrt{14}\ \vee\ x+2-2+\sqrt{14}\ \vee\ x$

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The perimeter of the blueprint is represented by the equation P=8x. What is the equation of the perimeter when solved for x

Korvikt [17]

Answer:

x = P/8

Step-by-step explanation:

The perimeter of the blueprint is given by the equation :

P = 8x

We need to solve the above equation for x.

Dividing both sides of the equation by 8.

$\dfrac{P}{8}=\dfrac{8x}{8}\\\\x=\dfrac{P}{8}$

Hence, the value of x is P/8

5 0

3 years ago

The average summer temperature in Anchorage is 69°F. If the daily temperature is normally distributed with a standard deviation

mafiozo [28]

Answer:

81.85%

Step-by-step explanation:

Given :

The average summer temperature in Anchorage is 69°F.

The daily temperature is normally distributed with a standard deviation of 7°F .

To Find:What percentage of the time would the temperature be between 55°F and 76°F?

Solution:

Mean = $\mu = 69$

Standard deviation = $\sigma = 7$

Formula : $z=\frac{x-\mu}{\sigma}$

Now At x = 55

$z=\frac{55-69}{7}$

$z=-2$

At x = 76

$z=\frac{76-69}{7}$

$z=1$

Now to find P(55<z<76)

P(2<z<-1)=P(z<2)-P(z>-1)

Using z table :

P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185

Now percentage of the time would the temperature be between 55°F and 76°F = $0.8185 \times 100 = 81.85\%$

Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.

7 0

3 years ago

What is the value of y?

Schach [20]

The total angles of a triangle must add up to 180 degrees, so y = 64 degrees

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3 years ago

The table represents the start of the division of 15x3 + x2 - 3x + 2 by 3x + 2.

9966 [12]

The result of dividing $15x^{3}+x^{2}-3x+2$ by $3x+2$ is $5 x^{2} -3x+1$ with no remainder. Please check the step by step procedures in the picture attached.
We can conclude that:
The quotient of the division is $5 x^{2} -3x+1$
The remainder of the division is $0$
The divisor is $3x+2$
The dividend is $15x^{3}+x^{2}-3x+2$

4 0

3 years ago

Mr. Theorem writes the expressions Six to the second power divided by 2m on the board.what is the value of this expression when

Ulleksa [173]

6, if m=3 then it must be 36/6 which is equal to 6

4 0

3 years ago

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