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mestny [16]
3 years ago
9

Help me with this one problem thanks

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0
The answer is A, since 8 and 6 go together while you're trying to find the height for x.
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find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches 2:
lbvjy [14]

Answer:

a = 4

b = -2

Step-by-step explanation:

If the given function is continuous at x = 1

\lim_{x \to 1^{-}} f(x)=(x+1)

                     =2

\lim_{x \to 1^{+}} f(x)=ax+b

                     =a+b

\lim_{x \to 1} f(x)=ax+b

                   =a+b

And for the continuity of the function at x = 1,

\lim_{x \to 1^{-}} f(x)=\lim_{x \to 1^{+}} f(x)=\lim_{x \to 1} f(x)

Therefore, (a + b) = 2 -------(1)

If the function 'f' is continuous at x = 2,

\lim_{x \to 2^{-}} f(x)=ax+b

                     =2a+b

\lim_{x \to 2^{+}} f(x)=3x

                     =6

\lim_{x \to 2} f(x)=3x

                   =6

Therefore, \lim_{x \to 2^{-}} f(x)=\lim_{x \to 2^{+}} f(x)=\lim_{x \to 2} f(x)

2a + b = 6 -----(2)

Subtract equation (1) from (2),

(2a + b) - (a + b) = 6 - 2

a = 4

From equation (1),

4 + b = 2

b = -2

3 0
3 years ago
find the perimeter of the quadrilateral, 31 + (4x^2+8x) + (3x^2-5x+20) + (7x+30). if x=2, what is the perimeter
Westkost [7]

31 + (4*2^2 + 8*2) + (3*2^2 + 5*2 + 20) + (7*2 + 30) = 129

4 0
3 years ago
HELP PLEASE ITS EASY IM JUST DUMB 25 PTS CUZ I ONLY HAVE THAT!!!!!!!!!!!!!!! How small are microorganisms?
Misha Larkins [42]

Answer:

Step-by-step explanation:

Microbes are generally described as being microscopic in size. ... In comparison to animal cells, microbes tend to be smaller. They are about 1/10th the size of a typical human cell. Microbes are generally measured in the scale of one millionth of a meter, which is known as a micrometer. i hope this is helpful.

3 0
3 years ago
Can someone help me please.
34kurt

Answer:

c ?

Step-by-step explanation:

7 0
3 years ago
In 2005, the population of a state was 31,006,000. If the population grows at 1. 2% per year, approximately how many years ( fro
Nonamiya [84]
21 years mm. M. N. M
3 0
2 years ago
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