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Svetradugi [14.3K]
3 years ago
15

The product of two rational numbers is 34.77. If one of the numbers is 6.1, what is the other number?

Mathematics
1 answer:
erik [133]3 years ago
6 0

Answer:

5.7

Step-by-step explanation:

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Multiply. Write your answer as a mixed number in simplest form.<br> 3 3/8x6
7nadin3 [17]

Answer:

3 1/16

Step-by-step explanation:

1) Evaluate 8×6; 3 (3/6*8) = (3/48)

2)Simplify 3/48 into 1/16

3) Answer is: 3 1/16

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-1 - 5 (-2k+3)= -76​
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Answer:

k= -6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Write the numeral 0.0284 × 10^4 in scientific notation. A. 28.4 × 101 B. 0.284 × 103 C. 2.84 × 102 D. 284
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Answer:

2.84×10²

Step-by-step explanation:

0.0284×10⁴

Move the decimal point 4 places to the right.

284

Now write in scientific notation by moving the decimal point 2 places to the left, behind the 2.

2.84×10²

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Question 2 What percent is shaded green? Type your answer on the line. *
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6 0
3 years ago
The function h(x) = x2 + 14x + 41 represents a parabola.
defon
Part A:

h(x)= x^{2} +14x+41

The first step of completing the square is writing the expression x^{2} +14x as (x+7)^{2} which expands to x^{2} +14x+49.

We have the first two terms exactly the same with the function we start with: x^{2} and 14x but we need to add/subtract from the last term, 49, to obtain 41. 

So the second step is to subtract -8 from the expression x^{2} +14x+49

The function in completing the square form is
h(x)= (x+7)^{2}-8

Part B:

The vertex is obtained by equating the expression in the bracket from part A to zero

x+7=0
x=-7

It means the curve has a turning point at x = -7

This vertex is a minimum since the function will make a U-shape. 
A quadratic function a x^{2} +bx+c can either make U-shape or ∩-shape depends on the value of the constant a that goes with x^{2}. When a is (+), the curve is U-shape. When a (-), the curve is ∩-shape

Part C:

The symmetry line of the curve will pass through the vertex, hence the symmetry line is x=-7

This function is shown in the diagram below




3 0
3 years ago
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