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spin [16.1K]
3 years ago
7

Is 4/16 equivalent to 3/5

Mathematics
1 answer:
azamat3 years ago
7 0
No, as if you reduce 4/16 it is 1/4, not 3/5, therefore they are not equivalent.
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Subtract: 4x/x^2-25 - 2/x^2+2x-15
Alex777 [14]

Answer: \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}

Step-by-step explanation:

Given

Subtract the expression

\Rightarrow \dfrac{4x}{x^2-25}-\dfrac{2}{x^2+2x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{x^2+5x-3x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{(x+5)(x-3)}\\\\\text{Take the LCM and subtract}\\\\\Rightarrow \dfrac{4x(x-3)-2(x-5)}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-12x-2x+10}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}

4 0
2 years ago
It is known that 1.4< square root of 2 <1.5. Find all possible values of the expression 2-square root of 2. How do I find
horsena [70]

Answer:

0.5<2-√2<0.6

Step-by-step explanation:

The original inequality states that 1.4<√2<1.5

For the second inequality, you can think of 2-√2 as 2+(-√2).

Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.

Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.

Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.

Hope this helped!

4 0
2 years ago
Problem 1: 2x &gt; 4x - 6<br> problem 2: -3r &lt; 10 - r<br> problem 3: 5c - 4 &gt; 8c + 2
Trava [24]
<span>Problem 1: 2x > 4x - 6
                  2x < 6  
                    x < 3

problem 2: -3r < 10 - r
                   -2r < 10
                      r > -5

problem 3: 5c - 4 > 8c + 2
                       3c < -6
                         c < -2</span>
8 0
3 years ago
PLEASE HELP!! ASAP!!! <br> There’s another part
xeze [42]

Answer:

??????????

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Pls help me on this question :-
Nastasia [14]

Answer:

We conclude that the rule for the table in terms of x and y is:

  • y = 3x+2

Step-by-step explanation:

The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.

We know the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept.

Taking two points

  • (-2, -4)
  • (-1, -1)

Finding the slope between (-2, -4) and (-1, -1)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)

m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}

m=3

We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.

Taking another point (0, 2) from the table.

It means at x = 0, y = 2.

Thus, the y-intercept b = 2

Using the slope-intercept form of the linear line function

y = mx+b

substituting m = 3 and b = 2

y = 3x+2

Therefore, we conclude that the rule for the table in terms of x and y is:

  • y = 3x+2
7 0
3 years ago
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