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Leni [432]
2 years ago
10

Lim f(x) = 19, find the value of A and B, if the lim f(x) = Ax – 3B and lim f(x) = **+ B

Mathematics
1 answer:
podryga [215]2 years ago
6 0

Answer:

  A = 4, B = 3

Step-by-step explanation:

In order for the limit to exist and have a value of 19, the left limit and the right limit must both have that value at x=7.

  left limit = 19

  right limit = 19

__

  4A(7)/7 +B = 19

  A(7) -3B = 19

Adding 3 times the first equation to the second gives ...

  3(4A +B) +(7A -3B) = 3(19) +(19)

  19A = 4(19) . . . . . simplify

  A = 4 . . . . . . . . divide by 19

Substituting into the first equation gives ...

  4(4) +B = 19

  B = 3 . . . . . . . subtract 16

A is 4, B is 3.

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10n^{2} - 12 = -8<br> Please help
torisob [31]

The value for n is \frac{\sqrt{10} }{5}

<h3>solving for n</h3>

<u>given data</u>

10n^{2} - 12 = -8

making n the subject of the formula

10n^{2}  = -8 + 12

10n^{2}  = 4

divide through by 10

n^{2}  = 4 / 10

finding the square root of both sides

n = square root ( 4 / 10 )

n = \sqrt{\frac{4}{10}

n = 0.632 or \frac{\sqrt{10} }{5}

Read more the subject of formula here: brainly.com/question/21140562

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7 0
1 year ago
In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: AC, if CD = 6√2 in.
klio [65]

Answer:

AC = 12 units.

Step-by-step explanation:

Δ ACD is right-angled. ( as CD ⊥ AB).

cos 45° = CD / AC = 6√2 / AC

AC = 6√2 / cos 45°

AC = 6√2 / 1 /√2

= 6√2 *√2

= 6 * 2

= 12   (answer)

HOPE THIS HELPED ;3

5 0
3 years ago
$5.15 per 5-pound bag
ollegr [7]

Answer: 1 pound = 1.03

Step-by-step explanation:

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Describe the error in the work shown. 62​ + 3 + 5 x 2 ​ ​ 36 + 8 x 2 ​36 + 16 52
makkiz [27]

Answer:

There is an error in the application of the DMAS rule, The answer as per the DMAS rule is 75.

Step-by-step explanation:

There is an error in the implication of the DMAS rule of Mathematics.

DMAS rule determines the arrangement of mathematical functions to be performed in an expression where multiple functions are present.

The DMAS Rules describes the following arrangement of the mathematical functions.

1st Division

2nd Multiplication

3rd Addition

4th Subtraction

Applying the above rule the solution is as follow

62​ + 3 + 5 x 2 ​ ​

First, we need to solve the Multiplication because there is no division

62​ + 3 + 10

Now perform the addition function

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3 years ago
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Novay_Z [31]

Answer:

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Step-by-step explanation:

dont no

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3 years ago
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