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FinnZ [79.3K]
4 years ago
11

Estimate 843/84 by first rounding each number so that it has only 1 nonzero digit

Mathematics
1 answer:
mezya [45]4 years ago
8 0

Answer:

10 is your answer.

Step-by-step explanation:

Both 843 and 84 will be turned to 800/80 because 4 is below 5 so it will be turned into a zero and the 8 left an 8.

800/80=10 is your answer.

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Find constants a , b, and c such that the function
n200080 [17]

Answer: a = -2, b = -2, c = 1.

Step-by-step explanation:

We know that:

y = a*x^2 + b*x + c.

Then:

y' = 2*a*x + b

y'' = 2*a.

Then we can write the equation:

y′′ + y′ − 2y = 4x^2.

as:

2*a + 2*a*x + b - 2*(a*x^2 + b*x + c) = 4*x^2

To solve this, the first step is moving all the terms to the same side:

2*a + 2*a*x + b - 2*a*x^2 - 2*b*x - 2*c - 4*x^2 = 0

Now let's group terms with the same power of x.

(-4 - 2*a)*x^2 + (-2*b + 2*a)*x + (-2c + b) = 0

Now, this must be zero for all the values of x, then the parenthesis must be equal to zero:

-4 - 2*a = 0

-2*b + 2*a = 0

-2*c + b = 0

From the first equation:

-4 - 2*a = 0

-4 = 2*a

-4/2 = a

a = -2

And from the second equation:

-2*b + 2*a = 0

2*a = 2*b

a = b

b = -2.

From the third equation we have:

-2c + b = 0

-2c = b

c = b/-2 = -2/-2 = 1.

c = 1

Then our equation is:

y = -2*x^2 - 2*x + 1.

4 0
3 years ago
The sine of the complimentary angle of 34°
tester [92]

Answer: 0.559192903....

Step-by-step explanation:

4 0
3 years ago
Which of the following are characteristics of the graph of the linear parent function
mrs_skeptik [129]
There are no options given, Please post the options in the comment.
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3 years ago
Solve for x. Show all work
Rudiy27

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Triangle DGH is isosceles with base angles at D and G. The external angle 134° at H is the sum of those two base angles, so we have ...

  2(5x+7) = 134

  5x +7 = 67 . . . . . divide by 2

  5x = 60 . . . . . . . subtract 7

  x = 12 . . . . . . . . divide by 5

3 0
3 years ago
Students in a large statistics class were randomly divided into two groups. The first group took the midterm exam with soft musi
Stels [109]

Answer:

Both groups had prepared for the exam. Therefore music would not really affect performance. Reassurance is given in every exam so distractions are not blind generally and most certainly not in this context where the scores were compared afterwards.

Step-by-step explanation:

3 0
3 years ago
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