3 years ago

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

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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

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Misha Larkins [42]

Answer:

Step-by-step explanation:

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3 years ago

Can someone help me please.

34kurt

Answer:

c ?

Step-by-step explanation:

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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

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