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4 years ago

What value is a discontinuity of x squared plus 5 x plus 2, all over x squared plus 2 x minus 35?

Mathematics

2 answers:

iVinArrow [24]4 years ago

6 0

The value of discontinuity is x= -7, x= 5

Aleksandr-060686 [28]4 years ago

6 0

Answer:

x=-7 and x=5.

Step-by-step explanation:

We have been given a rational function: $f(x)=\frac{x^2+5x+2}{x^2+2x-35}$ . We are asked to find the points at which our function is discontinuous.

A rational function is discontinuous when the function is undefined or the denominator is zero.

Let us find what values of x will make our denominator zero.

$x^2+2x-35=0$

We will use factoring to find the zeros of x. By splitting the middle term we will get,

$x^2+7x-5x-35=0$

$x(x+7)-5(x+7)=0$

$(x+7)(x-5)=0$

$(x+7)=0\text{ or }(x-5)=0$

$x=-7\text{ or }x=5$

Therefore, at x equals -7 and x equals 5 our function is discontinuous.

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Which one of These is a rational number

Ainat [17]

Answer:

OPTION D: 0

Step-by-step explanation:

Rational numbers are subset of real numbers. These are the numbers that can be represented by a ratio of two integers i.e., of the form $\frac{p}{q}$ , where 'q' is non-zero. The numbers after the decimal forms a pattern. Since, 'q' can be equal to 1, we conclude all integers are rational numbers.

Irrational numbers are the numbers which cannot be represented as ratios. They can only be represented as an approximate value. The numbers after the decimal do not form a pattern.

Here, A is 11.761038... Clearly, the decimal is non-terminating and does not follow a pattern.

In Option B we have √20. √20 = √2 . √10. We know that √2 is an irrational number. So, √20 is also irrational.

In Option C, we have the famous $\pi$ . The value of $\pi$ is 3.14.... It is an irrational number. The approximate representation of $\pi$ is $\frac{22}{7}$ .

In Option D, we have 0. It is an integer. So, it is rational as well.

6 0

4 years ago

What is 576 hundredths in decimal form

fiasKO [112]

5.76 because the hundredths place is two spaces to the right of the decimal point.

6 0

4 years ago

I need help ASAP help me plzzzzzz

anzhelika [568]

The answer is A because you need to find the unit rate of each cost
Since $2.80 is for 2 liters, do 2.80/2 which equals 1.4. So that’s the cost for one liter
Then, 6 half liter bottles is just 3 liters because 6*1/2= 3. Then to find the unit rate for that, do 3.90/3 which equals 1.3.
So the first option is $1.40 per liter and the second option is $1.30 per liter so the first option is more expensive- the 2-liter bottle, and the cost for that is 1.40
Hope this helps:))

4 0

3 years ago

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base

Olenka [21]

Answer:

The base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = $x\times\frac{1}{2} =\frac{x}{2} \ m.$

The height of triangle = $x\times \frac{3}{4} =\frac{3x}{4}\ m.$

The area of triangle = $16\ m^2.$

Now, we put the formula of area to solve:

$Area=\frac{1}{2} \times base\times height$

$16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}$

$16=\frac{3x^2}{16}$

Multiplying both sides by 16 we get:

$256=3x^2$

Dividing both sides by 3 we get:

$\frac{256}{3} =x^2$

Using square root on both sides we get:

$\frac{16}{\sqrt{3}}=x$

$x=\frac{16}{\sqrt{3}}$

Now, by substituting the value of $x$ to get the base and height:

$Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.$

So, the base of triangle = $\frac{8}{\sqrt{3}} \ m.$

$Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.$

Thus, the height of triangle = $\frac{12}{\sqrt{3}} \ m.$

Therefore, the base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

7 0

4 years ago

What is 92/100 simplified to lowest terms

nataly862011 [7]

Well you have to find the GCF. The GCF in this problem would be 4. So divide 92 and 100 by 4. 92/4 is 23 and 100/4 is 25. So 92/100 is 23/25 in lowest terms.

7 0

4 years ago