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Korolek [52]
3 years ago
14

Evaluate the expression for a = 3, b = 12 , and c = −4 . −8ab ------ 2bc

Mathematics
2 answers:
Andrei [34K]3 years ago
7 0
Replace a = 3, b = 12 , and c = −4  into the equation below:
−8ab/ 2bc= -8(3)(12) / 2(12)(-4)= 3

Nookie1986 [14]3 years ago
6 0
-8(3)(12)
2(12)(-4)

-8(36)
2(-48)

-288
-96

3
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It’s only 10 points but it’s all i got (:
weqwewe [10]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Which system of equations is incondsistent? a. 2x+8y=6 5x+20y=2
galina1969 [7]

Answer: Yes

Step-by-step explanation:

2x+8y=6

-8y -8y

2x = -2y

Divide by two so x will be by itself, so the answer will be -1y.

5x+20y=2

-20y -20y

5x = -18y

Divide by 5 so x will be by itself, so the answer will be -3y.

7 0
3 years ago
Consider the function f(x)=xln(x). Let Tn be the nth degree Taylor approximation of f(2) about x=1. Find: T1, T2, T3. find |R3|
Fynjy0 [20]

Answer:

R3 <= 0.083

Step-by-step explanation:

f(x)=xlnx,

The derivatives are as follows:

f'(x)=1+lnx,

f"(x)=1/x,

f"'(x)=-1/x²

f^(4)(x)=2/x³

Simialrly;

f(1) = 0,

f'(1) = 1,

f"(1) = 1,

f"'(1) = -1,

f^(4)(1) = 2

As such;

T1 = f(1) + f'(1)(x-1)

T1 = 0+1(x-1)

T1 = x - 1

T2 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2

T2 = 0+1(x-1)+1(x-1)^2

T2 = x-1+(x²-2x+1)/2

T2 = x²/2 - 1/2

T3 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2+f"'(1)/6(x-1)^3

T3 = 0+1(x-1)+1/2(x-1)^2-1/6(x-1)^3

T3 = 1/6 (-x^3 + 6 x^2 - 3 x - 2)

Thus, T1(2) = 2 - 1

T1(2) = 1

T2 (2) = 2²/2 - 1/2

T2 (2) = 3/2

T2 (2) = 1.5

T3(2) = 1/6 (-2^3 + 6 *2^2 - 3 *2 - 2)

T3(2) = 4/3

T3(2) = 1.333

Since;

f(2) = 2 × ln(2)

f(2) = 2×0.693147 =

f(2) = 1.386294

Since;

f(2) >T3; it is significant to posit that T3 is an underestimate of f(2).

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Since;

f^(4)(x)=2/x^3, we have, |f^(4)(c)| <= 2

Finally;

R3 <= |2/(4!)(2-1)^4|

R3 <= | 2 / 24× 1 |

R3 <= 1/12

R3 <= 0.083

5 0
3 years ago
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Makovka662 [10]

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The one in the middle is 7 so the median = 7

The mode is the most common one, mode = 5

The range is the difference between max and min, so range = 10 - 5 = 5

In the second week we add four to everything.  Since that adds four to the min and max, the range doesn't change.

Answer: mean=10.9, median=11, mode=9, range=5

7 0
3 years ago
The intersection of the two lines, shown in the image below, creates special angle relationships between angles 1,2,3,
levacccp [35]

Answer:

3 and 4

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Step-by-step explanation:

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5 0
3 years ago
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