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3 years ago

Algebraically show that each of the given combinations are equivalent to the given functions.

Mathematics

1 answer:

77julia77 [94]3 years ago

5 0

Answer:

YES, they are equal

Step-by-step explanation:

Given the expressions

h(x) = 2x – 3;j(x) = - 4x + 6; k(x) = – 2x + 3

h(x) + j(x) = 2x – 3 + (-4x + 6)

h(x) + j(x) = 2x - 3 -4x + 6

h(x) + j(x) = 2x - 4x -3 + 6

h(x) + j(x) = -2x + 3 = k(x)

This shows that h(x) + j(x) = k(x)

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The answer is
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4 years ago

Let f(x) = 7x^2-5x+3 and g(x) = 2x^2+4x-6

Troyanec [42]

Answer:

$\large\boxed{A.\ f(x)+g(x)=9x^2-x-3}\\\boxed{B.\ f(x)-g(x)=5x^2-9x+9}\\\boxed{g(x)-f(x)=-5x^2+9x-9}$

Step-by-step explanation:

$f(x)=7x^2-5x+3,\ g(x)=2x^2+4x-6\\\\A:\\f(x)+g(x)=(7x^2-5x+3)+(2x^2+4x-6)\\f(x)+g(x)=7x^2-5x+3+2x^2+4x-6\qquad\text{combine like terms}\\f(x)+g(x)=(7x^2+2x^2)+(-5x+4x)+(3-6)\\f(x)+g(x)=9x^2-x-3$

$B:\\f(x)-g(x)=(7x^2-5x+3)-(2x^2+4x-6)\\f(x)+g(x)=7x^2-5x+3-2x^2-4x+6\qquad\text{combine like terms}\\f(x)-g(x)=(7x^2-2x^2)+(-5x-4x)+(3+6)\\f(x)+g(x)=5x^2-9x+9$

$C:\\g(x)-f(x)=(2x^2+4x-6)-(7x^2-5x+3)\\g(x)-f(x)=2x^2+4x-6-7x^2+5x-3\qquad\text{combine like terms}\\g(x)-f(x)=(2x^2-7x^2)+(4x+5x)+(-6-3)\\g(x)-f(x)=-5x^2+9x-9$

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4 years ago

What is the volume of the pyramid?

k0ka [10]

Answer:

The volume of the rectangular pyramid is 80cm³

Step-by-step explanation:

To calculate the volume of a rectangular pyramid we have to use the following formula:

v = volume

w = width = 8 cm

l = length = 6 cm

h = height = 5 cm

v = (w * l * h) / 3

we replace the values that we know

v = (8cm * 6cm * 5 cm) / 3

v = 80cm³

The volume of the rectangular pyramid is 80cm³

4 0

3 years ago

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kenny6666 [7]

Answer:

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Step-by-step explanation:

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3 years ago

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Which calculation can be used to find the value of y in the equation y3 = 27

zalisa [80]

You just divide each side of the equation by three so you'll get $y = 9$

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6 0

4 years ago