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3 years ago

Evaluate if a=2 and b=8 6+7b-3a

Mathematics

2 answers:

VladimirAG [237]3 years ago

7 0

Answer:

Step-by-step explanation:

6+7b-3a

Substitute:

6+7(8)-3(2)

Solve:

6+56-6

Simplify:

6+50

=56

saw5 [17]3 years ago

7 0

The answer is 68...
work out:
6 + 7(8) + 3(2)
6+ 56 + 6
68

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3 years ago

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Step-by-step explanation:

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2 years ago

The region bounded by y=x^2+1, y=x, x=-1, x=2 with square cross sections perpendicular to the x-axis.

VLD [36.1K]

Answer:

The bounded area is 5 + 5/6 square units. (or 35/6 square units)

Step-by-step explanation:

Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)

Such that f(x) > g(x) in the given interval.

This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).

We want to find the area bounded by:

f(x) = y = x^2 + 1

g(x) = y = x

x = -1

x = 2

To find this area, we need to f(x) - g(x) between x = -1 and x = 2

This is:

$\int\limits^2_{-1} {(f(x) - g(x))} \, dx$

$\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx$

We know that:

$\int\limits^{}_{} {x} \, dx = \frac{x^2}{2}$

$\int\limits^{}_{} {1} \, dx = x$

$\int\limits^{}_{} {x^2} \, dx = \frac{x^3}{3}$

Then our integral is:

$\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx = (\frac{2^3}{2} + 2 - \frac{2^2}{2}) - (\frac{(-1)^3}{3} + (-1) - \frac{(-1)^2}{2} )$

The right side is equal to:

$(4 + 2 - 2) - ( -1/3 - 1 - 1/2) = 4 + 1/3 + 1 + 1/2 = 5 + 2/6 + 3/6 = 5 + 5/6$

The bounded area is 5 + 5/6 square units.

3 0

2 years ago

19/100+7/10 wich fraction can be used in place of 7/10 to find the value of the expression

Dimas [21]

Answer:

70/100.

Step-by-step explanation:

When adding fractions, you need to find a common denominator.

This just means that the numbers at the bottom of both fractions you are adding must be the same.

So for 19/100 + 1/10, you need to match the two denominators (bottom numbers).

To do this, you need to multiply 10 by 10 to get 100.

What you do to the bottom, you must always do to the top as well.

So multiply 7 by 10 and get 70.

70/100 will replace 7/10.

Now you can add fractions because the bottom numbers are the same.

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3 years ago

The perimeter of a rectangle is 192 ft. The ratio of its length to its width is 7 : 5. What are the dimensions of the rectangle?

ioda

P = 2(L + W)
P = 192

192 = 2(L + W)
192 / 2 = L + W
96 = L + W

length to width.....7:5...added = 12
7/12 * 96 = 672/12 = 56 ft <== ur length
5/12 * 96 = 480/12 = 40 ft <== ur width

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3 years ago