First, in order to make it into a fraction, I usually leave the whole number out. Then you divide 4/25. 4 divided by 25 is 0.16. So, the answer would simply be 4.16 or 4 and 16 hundreths. I hope this helped you and will help you in the future.
The result is
9
a
2
−
16
The reason is the following:
The problem is an example of a notable product: "the sum multiplied by the diference is equal to the difference of squares", that is to say:
(
a
+
b
)
⋅
(
a
−
b
)
=
a
2
−
b
2
.
By applying this to our question, we obtain that:
(
3
a
−
4
)
⋅
(
3
a
+
4
)
=
(
3
a
)
2
−
(
4
)
2
=
9
a
2
−
16
.
Answer:
f(-10) = -19
f(2) = 4
f(-5) = -9
f(-1) = 1
f(8) = -5
Step-by-step explanation:
This is relatively simple if you understand the concept. All you have to do is take each number and then look at each inequality to see where it fits.
For example, if you take 2 and look at the first inequality, you see that 2 is not less than or equal to 5. Now if you look at the second inequality, you see that 2 is both greater than -5 and less than 5. Since 2 fits in the second inequality, you plug it into the second equation.
These functions where you have to see where the x-value fits are called piecewise functions and you will see them a lot in higher level math.
(disclaimer: I evaluated the numbers quickly, so I would doublecheck it, but I am pretty sure I didn't mess up)
Answer:
65 in²
Step-by-step explanation:
1. Break up the figure (We'll do it left to right): We now have 3 rectangles:
<em>(6 - 4) x 4, (4 + 8) x 4, and 3 x 3</em>
2. Find the two lengths: 6 - 4 = <em>2</em>, 4 + 8 = <em>12</em>
3. Find the three areas: 2 * 4 = <em>8</em>, 12 * 4 = <em>48</em>, 3 * 3 = <em>9</em>
4. Add the areas: 8 + 48 + 9 = 65 in²
The answer to this is Hexagon.
