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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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She tips the movers $80
7 0
3 years ago
Simplify each expression:<br> ( 5a^2b^3)(4ab^5)
DIA [1.3K]

Answer:

(22•5a3b4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

4ab • (5a2 • b3)

STEP

2

:

Multiplying exponential expressions :

2.1 a1 multiplied by a2 = a(1 + 2) = a3

Multiplying exponential expressions :

2.2 b1 multiplied by b3 = b(1 + 3) = b4

Final result :

(22•5a3b4)

5 0
2 years ago
Read 2 more answers
Marta is making two different charms for necklace one charm has a 1 cm diameter and a 3.14 centimeter circumference A similar ch
dlinn [17]
Both charms are "similar".

And notice one diameter is 1, the other is 4, the diameters are on a ratio of 1:4 then, and so both figures are on a ratio of 1:4.

so, if another unit, like the circumference is at 3.14 on the small one, then the large one will have a circumference 4 times that much, because the circumferences are also on a 1:4 ratio.
4 0
3 years ago
How much of the 8% solution should we use to make 100g of a 3% solution?
sp2606 [1]
Suppose x grams of 8% solution should be mixed to make 100 g of 3% solution.
here we shall have:
the amount of 3% solution in the 100 g will be:
3/100*100=3 grams
the the equation will be, 8% of what quantity becomes 3g?
(8/100)*x=3
hence solving for x we shall have:
0.08x=3
x=3/0.08
x= 37.8 grams
The implication of this is that, when you have 37.5 grams of 8% solution, that will contain 3  of pure chemical and hence when you add more solvent on top of 37.5 g until you reach 100g, that will be 3% solution.
8 0
3 years ago
Read 2 more answers
Can someone give me work for the estimate
pogonyaev
If a rational number after dot "like 5.52") is smaller than 5(half) , then you assume the first number before that dot stuff :p
For example:

-》11,2 =11
-》 4.19= 4
-》2,2 = 2
etc

But if it's bigger than 5 or equals 5 , u assume the first number before that dot stuff +1
For example :
-》5.5 =6
-》3.9=4
-》225.7= 226
etcetc

so the answer is:;;

5.52 --》 52 is bigger than a half (50) so ur gonna assume like 6

1,6 --》(it equals with 1.60 too)
6 is bigger than 5 so ur gonna assume 2

6÷2 =3

Hope it helps! :))
#MissionExam001

7 0
3 years ago
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