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AleksandrR [38]
2 years ago
7

Find two consecutive odd integers if twice the larger, increased by the smaller equals 37,

Mathematics
1 answer:
Alexxx [7]2 years ago
6 0

Answer:

11 and 13

Step-by-step explanation:

the first (smaller) odd integer can be called x

the second (larger) odd integer can be called x+2

2(x+2)+x = 37

<em>[simplify . . .]</em>

2x+4+x = 37

3x+4 = 37

<em>[subtract 4 from each side]</em>

3x = 33

<em>[divide each side by 3; find smaller odd integer]</em>

x = 11

<em>[add 2 to find larger odd integer]</em>

x+2 = 13

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Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (1, 5).
Lesechka [4]

Answer:

4x-y+1=0

Step-by-step explanation:

here,given equation of a line id

4x-y-2=0.. eqn(i)

equation of any line parallel to line (i) is

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since, the line(ii) passes through (1,5)[replacing x=1 and y=5 in eqn(ii), we get]

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4 0
3 years ago
Determine if the following table represents a quadratic function.
snow_tiger [21]

Answer:

<em>The options are not visible enough (See Explanation)</em>

Step-by-step explanation:

Given

x:-  1   || 2   || 3   || 4   || 5

y:-  13 || 22 || 37 || 58 || 85

Required

Determine if the function is quadratic

Calculate the difference between the values of y

Difference = 22 - 13 = 9

Difference = 37 - 22 = 15

Difference = 58 - 37 = 21

Difference = 85 - 58 = 27

<em>The resulting difference are: 9 || 15 || 21 ||  27</em>

Next; Calculate the difference between the difference of values of y

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3 years ago
At what point of the curve y = cosh(x does the tangent have slope 2?
Dahasolnce [82]
The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
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sinh(x) = 2
x = sinh^-1 (2) = 1.444

Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44
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2 years ago
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