Answer:
<u>∗ = 0.4x³</u>
Step-by-step explanation:
(15y + ∗)² = 225y²+12x³y+0.16x⁶
<u>Note:</u>
225y² = 15y * 15y = (15y)²
12x³y = 2 * 15y * 0.4x³
0.16x⁶ = 0.4x³ * 0.4x³ = (0.4x³)²
So, by factoring the right hand side:
225y²+12x³y+0.16x⁶ = (15y + 0.4x³)²
By comparing the left hand side with (15y + 0.4x³)²
<u>So, ∗ should be replaced with the monomial 0.4x³</u>
128 square inches of wrapping paper, since the width would be the Z Axis, That would make a Square 3X4= 12, 12X2= 24. 3X7= 21X4= 104, 104+24=128? That's what I figured. Can you send me a photo of the problem?
Answer:
Inequality : 4x+8 < 120
x<28
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Perimeter of a rectangle (P)= 2 length +2 width
Where:
Width = x
Length = x+4
Replacing with the values given
P = 2 (x+4) + 2x
P = 2x+8+2x
P=4x+8
Since the perimeter of the rectangle must be less than 120:
4x+8 < 120
Solving for x
4x<120-8
4x<112
x<112/4
x<28
Feel free to ask for more if needed or if you did not understand something.
If you have a calculator, you can use the inverse cos " cos⁻¹ " key. Many upper level books write that as Arccos so as not to confuse you with a negative exponent. We do that because if you take the cosine of any angle, and then the inverse cosine of any angle, it leads you back to the original angle. Think of it as a big "UNDO" button.
To one decimal place, that result is 61.6 degrees.
F(x)=2x+8
F(-1.8)=2(-1.8)+8
f(-1.8)=-3.6+8
f(-1.8)=4.4
