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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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3. Monthly rainfall (in inches):

timurjin [86]

Mean is 31
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3 years ago

What are the solutions to the equation x2−12x+100=0?

marysya [2.9K]

Answer:

$x=6+8i$

$x=6-8i$

Step-by-step explanation:

$x^2-12x+100=0$

solve by quadratic formula.

$\frac{-b+-\sqrt{b^2-4(a*c)} }{2*a}$

$\frac{12+\sqrt{(-12)^2-4*(1*100)} }{2*1}$

$\frac{12-\sqrt{(-12)^2-4*(1*100)} }{2*1}$

which is

$x=\frac{12+16i}{2}$

$x=\frac{12-16i}{2}$

Simplify.

$x=6+8i$

$x=6-8i$

Solved.

Hope this helps.

8 0

2 years ago

WHAT IS THE MEDIAN pls help

masya89 [10]

The median is 19.5 :))

7 0

3 years ago

Pat drank 1 1/3 cups of punch in the beginning of the party as she drank 2 and4/6 cups of punch at the end of the party.How much

SOVA2 [1]

Answer:

Pat drank 26/6 (4 1/3 or 13/3) cups of punch.

Step-by-step explanation:

Here is how I would solve this-

What is the question? How much punch did she drink in all?

What do we need to know? 11/3 + 4/6 cups of punch.

How can we make them have a common denominator? 22/6 + 4/6

Add them together! (22 + 4 = 26) so you get 26/6

Final Answer = Pat drank 26/6 (4 1/3 or 13/3) cups of punch.

Hope this helps! Good luck and let me know if this is right!

7 0

3 years ago

What multiplies to be 280 and adds to be negative 36

photoshop1234 [79]

The two numbers are -18+ 2√(11) and -18 -2√(11).

-18+ 2√(11)+ [-18 -2√(11)]= -36
[-18+ 2√(11)]* [-18 -2√(11)]= 280.

Hope this helps~

4 0

3 years ago