Answer:
A. 8/7
Step-by-step explanation:
<h3>Step 1 </h3>
4/7 - (-4/7) --> 4/7 + 4/7
The two minutes turn into a plus, removing the bracket.
<h3>Step 2</h3>
4/7 + 4/7 = 8/7
Add the two fractions together.
Answer:
x =4
Step-by-step explanation:
x/y = 1/2
(x + 2) / (y + 1) = 2/3
Cross multiply the first equation
2x = y
Put that value for y into the second equation.
(x + 2) / (2x + 1) = 2/3 Cross multiply
3(x + 2) = 2(2x + 1) Remove the brackets.
3x + 6 = 4x + 2 Subtract 3x from both sides
6 = 4x - 3x + 2
6 = x + 2 Subtract 2 from both sides
6-2 = x
x = 4
Answer:
=3 + 4/12 + 3/12
Step-by-step explanation:
To make 1/3 into a twelfth, you have to multiply the 3 by 4 to get 12. Whatever you do to the top you have to do to the bottom, meaning that you have to multiply 1 by 4 to get 4 on top.
To make 1/4 into a twelfth, you have to multiply the 4 by 3 to get 12. Whatever you do to the top you have to do to the bottom, meaning that you have to multiply 1 by 3 to get 3 on top.
Answer:
See below.
Step-by-step explanation:
Here's an example to illustrate the method:
f(x) = 3x^2 - 6x + 10
First divide the first 2 terms by the coefficient of x^2 , which is 3:
= 3(x^2 - 2x) + 10
Now divide the -2 ( in -2x) by 2 and write the x^2 - 2x in the form
(x - b/2)^2 - b/2)^2 (where b = 2) , which will be equal to x^2 - 2x in a different form.
= 3[ (x - 1)^2 - 1^2 ] + 10 (Note: we have to subtract the 1^2 because (x - 1)^2 = x^2 - 2x + 1^2 and we have to make it equal to x^2 - 2x)
= 3 [(x - 1)^2 -1 ] + 10
= 3(x - 1)^2 - 3 + 10
= <u>3(x - 1)^2 + 7 </u><------- Vertex form.
In general form the vertex form of:
ax^2 + bx + c = a [(x - b/2a)^2 - (b/2a)^2] + c .
This is not easy to commit to memory so I suggest the best way to do these conversions is to remember the general method.
Answer:
x = 0
Step-by-step explanation:
5^0 is 1, meaning that x must equal to 0 for the answer to be 5^0.
