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aleksandr82 [10.1K]
3 years ago
15

Find all real solutions of the equation. (Enter your answers as a comma-separated list.)

Mathematics
1 answer:
34kurt3 years ago
7 0

Answer:

0,1

Step-by-step explanation:

x^2 − x = 0

Factor out an x

x(x-1) =0

Using the zero product property

x=0     x-1=0

Solving each equation

x=0    x-1+1 =0+1

x=0      x=1

The solutions are

x=0,1

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Find the domain and range of the exponential function h(x)= -343^x
givi [52]
I will named this exponential function as y= - 343^x .
This function is symmetrical with function y = 343^x in relation to X axis. 
In general their formula is y=a^x or in your case y= - a^x

First I'll describe y=a^x => this function has domein Dx=R ( Whole field of real number), range is in interval ( 0,  +infinity), when x increases and y increases, when x decreases and y decreases. This function is always positive in whole domain and always is growing function. And X axis is its asymptote (y=0).

In your case function y= - 343^x has folowing features:
domein Dx=R
range is in interval (-infinity, 0)
when x increases => y decreases =>
example: y= -2^2=-4, y= -2^3=-8 etc....
when x decreases => y increases ->
example: y= -2^(-2)= - 1/(2^2)= - 1/4, y=-2^(-3)= - 1/(2^3)= - 1/8 etc....
this function is always negative
this function is always declining
x axis is its asymptote from the top ( y=0)
7 0
2 years ago
Which triangles are similar to triangle ABC?
olasank [31]

Answer:

DEF

Step-by-step explanation:

DEF is half of ABC, which means they're both similar in some way.

As we can see line DE is half of line AB (DE is 5.5 and AB is 11)

Line DF and Line EF are half of Line AC and Line BC (DF/EF is 4 while AC/BC is 8)

3 0
3 years ago
two angles are supplementary. The measure of one is five times the measure of the other angle.Find each angle
Svetllana [295]
Let's say each side is 5 and 5 so all you have to do is times 5 bye 5 and divide the two numbers by 20 and when you get that then you add the numbers by 180 then your answer is 239cm
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3 years ago
Sam is moving bags of soil from a loading dock into a storeroom. The top soil weighs 40 pounds per bag and the mulch weighs 20 p
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Answer:

40x+20y\leq 480

Step-by-step explanation:

Givens

  • The top soil weighs 40 pounds per bag.
  • The mulch weighs 20 pounds per bag.
  • The cart can only carry up to 480 pounds.

Notice that the restriction is a maximum of 480 pounds, that means the inequality must include the sign \leq.

Now, let's call x the top soil and y the mulch, the inequality that represents this problem, would be

40x+20y\leq 480

3 0
3 years ago
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