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boyakko [2]
1 year ago
10

Which solution set is graphed on the number line?-4-3-2_10123+4x 51ООX51

Mathematics
1 answer:
Rudik [331]1 year ago
5 0

Explanation:

In this number line the solution set that's graphed is all numbers less than 1. It doesn't include 1 because that point is graphed with an empty circle.

Answer:

x < 1

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Approximately how many times greater is 6 x 10^-5 than 5 x 10^-9
8_murik_8 [283]

Answer: 6 \times 10^{-5} is 1.2 \times 10^4. times greater than 5 \times 10^{-9}.


Step-by-step explanation:

We are given two numbers.

First number  : 6 \times 10^{-5}.

Second number : 5 \times 10^{-9}.

In order to find how many times   6 \times 10^{-5} is greater than 5 \times 10^{-9}, we need to divide first number by second number.

Therefore,

6 \times 10^{-5} ÷ 5 \times 10^{-9}

or \frac{6 \times 10^{-5}}{5 \times 10^{-9}}

First we would divide 6 by 5.

On dividing 6 by 5, we get 1.2.

Now, we would divide 10^-5 by 10^-9.

In order to divide them, we can apply quotient rule of exponents \frac{a^m}{a^n} =a^{m-n}.

We get

\frac{10^{-5}}{10^{-9}}  = 10^{-5-(-9)} = 10^{-5+9} = 10^4.

Therefore,

\frac{6 \times 10^{-5}}{5 \times 10^{-9}} = 1.2 \times 10^4.

So, we could say finally 6 \times 10^{-5} is 1.2 \times 10^4. times greater than 5 \times 10^{-9}.

8 0
3 years ago
three friends earned more than $200 washing cars. they paid there parents $28 for supplies and divided the rest of money equally
makvit [3.9K]
So
x=earned
x>200
they paid their parrents 28 for supplies (this assumes that they paied 28 altogether and not 28 each)
so subtract 28 from pay
new pay=y
y>200-28
y>172
divided it among themselves (3)
172/3=57 and 1/3=57.33
they each earned more that $57.33
4 0
2 years ago
Why might you expect most absolute value equations to have two solutions? Why not three or four?
Travka [436]

Answer:

If the absolute value expression is not equal to zero, the expression inside an absolute value can be either positive or negative. So, there can be at most two solutions. Looking at this graphically, an absolute value graph can intersect a horizontal line at most two times.

3 0
2 years ago
Solve for y 2x-5y=10
scZoUnD [109]

Answer:

y = 2/5x - 2

Step-by-step explanation:

Step 1: Write equation

2x - 5y = 10

Step 2: Solve for <em>y</em>

  1. Subtract 2x on both sides: -5y = 10 - 2x
  2. Divide both sides by -5: y = -2 + 2/5x
  3. Rewrite: y = 2/5x - 2
6 0
3 years ago
Read 2 more answers
Classify each function as even, odd, or neither even nor odd.
drek231 [11]

The function

f(x) is even

g(x) is neither even nor odd

h(x) is odd

Steps:

for an even function it holds that f(-x) = f(x):

f(-x) = (-1)^6 x^6  - (-1)^4 x^ 4 = x^6 - x^4 = f(x) => f is even

for an odd h(x) it holds that h(-x) = -h(x):

h(-x) = (-1)^5x^5-(-1)^3x^3 = -(x^5-x^3) = -h(x) \implies h(x)\,\, \mbox{even}

It is easy to show that g(x) does not match any of the two possibilities above.


8 0
3 years ago
Read 2 more answers
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