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Andrews [41]
3 years ago
15

What is the value of x in the equation 1.8-3.7x=-4.2x+0.3

Mathematics
2 answers:
Katarina [22]3 years ago
5 0
We are to solve this for x:   <span>1.8-3.7x=-4.2x+0.3

Combine like terms.  First, add 4.2x to both sides.  This results in 1.8+0.5x = 0.3, and then 0.5x = 0.3-1.8.

Next, 0.05x = -1.5, or 5x = -150, and x = -30. 

Must check this result by substitution of -30 for x in the original equation.

Is  </span><span>1.8-3.7(-30)=-4.2(-30)+0.3 true or false?</span>
12345 [234]3 years ago
3 0

Answer:

The answer is 3

Step-by-step explanation:

add -4.2 to -3.7 to get 0.5, then subtract 1.8 by 0.3 to get 1.5 on the other side. then you divide 1.5 by 0.5 to get 3. Hope this helps and have a good day!:)

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Suppose f is a continuous function on [-2, 2) such that
Leviafan [203]

Answer:

2. a and b only.

Step-by-step explanation:

We can check all of the given conditions to see which is true and which false.

a. f(c)=0 for some c in (-2,2).

According to the intermediate value theorem this must be true, since the extreme values of the function are f(-2)=1 and f(2)=-1, so according to the theorem, there must be one x-value for which f(x)=0 (middle value between the extreme values) if the function is continuous.

b. the graph of f(-x)+x crosses the x-axis on (-2,2)

Let's test this condition, we will substitute x for the given values on the interval so we get:

f(-(-2))+(-2)

f(2)-2

-1-1=-3  lower limit

f(-2)+2

1+2=3 higher limit

according to these results, the graph must cross the x-axis at some point so the graph can move from f(x)=-3 to f(x)=3, so this must be true.

c. f(c)<1 for all c in (-2,2)

even though this might be true for some x-values of of the interval, there are some other points where this might not be the case. You can find one of those situations when finding f(-2)=1, which is a positive value of f(c), so this must be false.

The final answer is then 2. a and b only.

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3 years ago
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Answer:

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Step-by-step explanation:

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