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Art [367]
3 years ago
8

3. Find the values of the constants in each of the following:

Mathematics
1 answer:
lina2011 [118]3 years ago
7 0

9514 1404 393

Answer:

  a = 8; b = -9

Step-by-step explanation:

Filling in the given values gives you two equations.

  7 = a(2) +b

  -1 = a(1) +b

Subtracting the second equation from the first gives ...

  (7) -(-1) = (2a +b) -(a +b)

  8 = a . . . . . simplify

Using this value in the first equation gives ...

  7 = (8)(2) +b

  b = 7 -16 = -9

The constants are a = 8, b = -9.

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1/4 divided by 2/3 show work pls
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A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of
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4 years ago
How do you show where an inequality is true on a number line?
Mashutka [201]

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When the two values are different

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Like in an inequality equation.

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6 0
3 years ago
The region R enclosed between the graph of the function y=x^2−4x+5 and the x-axis for 0≤x≤4 is partitioned into four subinterval
Marina CMI [18]

Answer:

9.00 square units

Step-by-step explanation:

The width of the interval is 4 − 0 = 4.  Divided by 4 equal subintervals, the width of each subinterval is 4/4 = 1.

The subintervals are:

0 ≤ x ≤ 1

1 ≤ x ≤ 2

2 ≤ x ≤ 3

3 ≤ x ≤ 4

MRAM is midpoint rectangular approximation method.  So we use the midpoints of each interval to find the height of the rectangle:

f(0.5) = (0.5)² − 4(0.5) + 5 = 3.25

f(1.5) = (1.5)² − 4(1.5) + 5 = 1.25

f(2.5) = (2.5)² − 4(2.5) + 5 = 1.25

f(3.5) = (3.5)² − 4(3.5) + 5 = 3.25

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A = 3.25 + 1.25 + 1.25 + 3.25

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Graph: desmos.com/calculator/x8dcibqszo

7 0
3 years ago
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