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sp2606 [1]
2 years ago
13

For which x-values is the graph below discontinuous?

Mathematics
2 answers:
aleksandr82 [10.1K]2 years ago
3 0

Answer:

A

Step-by-step explanation:

stealth61 [152]2 years ago
3 0

Answer:

b)

Step-by-step explanation:

The LHL and RHL at these places are different.

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Find the area if the figure using 3.14
Veronika [31]
The area of the square is 9, the area of all the semi circles added together is 15.7, when you add them together you get 24.7
8 0
3 years ago
How do I simplify 7 to the power of 1
Savatey [412]

\huge\boxed{7}

Any number to the power of 1 is itself. So, 7^1 = \boxed{7}.

Here are some more examples:

382^1 = 382

0^1 = 0

\pi^1 = \pi

8 0
3 years ago
The Johnson twins were born five years after their older sister. This​ year, the product of the three​ siblings' ages is exactly
Mamont248 [21]

Answer:

13 years.

Step-by-step explanation:

Suppose, today, the Johnson twins' age is x years. Then the age of their elder sister will be (x + 5) years old. It is given that product of the three​ siblings' ages is exactly 2998 more than the sum of their ages. Therefore:

x + x + x + 5 + 2998 = (x)(x)(x + 5).

3x + 3003 = x^3 + 5x^2.

x^3 + 5x^2 - 3x - 3003 = 0.

To solve the question, factor theorem will be used. It states if any number c satisfies the equation f(c) = 0, then c is the factor of f(x). By observation, it can be seen that x = 13 can be a possible candidate for the factor of f(x). To verify, check f(13).

f(13) = 13^3 + 5(13^2) - 3(13) - 3003 = 2197 + 845 - 39 - 3003 = 0.

Since f(13) = 0, therefore x = 13 is the factor of f(x).

Now applying synthetic division:

Column 1       2       3       4            5

     13    |         1       5      -3        -3003  (Row 1)

______|______<u>  _13__234___3003</u>   (Row 2)

            |         1       18      231          0    (Row 3)

The method requires to write the coefficients of all the powers in the Row 1 on the right hand side of the table. Put the factor x = 13 on the left hand side of the table (Row 1 Column 1). The first step involves the second column elements to be added. Since there is only 1, thus there will be 1 below the line. Next step involves multiplying 1 with the factor (which is 13) and this will be the element for row 2 column 3. The add the elements of the column 3. The answer comes out to be -3. Repeat the above steps for the columns 4 and 5. The sum of the column 5 (the last column) should be 0, which is the case. The elements of the last row are actually the coefficients of the quadratic equation which is resultant from dividing f(x) by (x - 13). Thus:

x^2 + 18x + 231 = 0.

Using completing the square:

x^2 + 18 = -231.

(x)^2 + 2*(x)*(9) + (9)^2 = -231 + (9)^2.

(x + 9)^2 = -231 + 81.

(x + 9)^2 = -150.

Taking square root on both sides shows that rest of the 2 answers of this polynomial will be complex roots since square root of -150 does not exist in real numbers. Therefore, since the age is a real quantity and not a complex quantity, the age of the twins is 13 years!!!

8 0
3 years ago
What is the value of x that makes the given equation true 9+8x-4-5x=-19
Elena L [17]

Answer:

x = -8

Step-by-step explanation:

9+8x-4-5x=-19

5+8x-5x=-19

5+3x=-19

-5 =-19

3x = -24

3/3 = -24/3

x= -8

8 0
2 years ago
Kimberly is measuring the temperature fluctuations of a city
VladimirAG [237]

Answer:

Easy Peasy!

Step-by-step explanation:

First we have to set up our equation:

(Let x= Temp. after 5 days)

Sorry, have to define variables. If I didn't do it in Middle School Tests, I get an automatic 0 for that question.

50-2(3.1)+3(4.8)=x

So, let's solve!

(If you didn't know what I did there, I just multiplied the rate of the decreasing and increasing temperature by the number of days it was in effect)

50-6.2 +14.4=x\\58.2=x

So, the temperature during the fifth day is 58.2 degrees.

Hope this helps!

P.S. Stay Safe!

7 0
3 years ago
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