The <em>correct answers</em> are:
5x²+70x+245 ≥ 1050; and
Yes.
Explanation:
Let x be the width of the tablet. Since the width of the TV is 7 inches more than the tablet, the width of the TV would be x+7.
The length of the TV is 5 times the width; this makes the length 5(x+7) = 5x+35.
The area of the TV would be given by
(x+7)(5x+35).
Since Andrew wants the area to be at least 1050, we set the expression greater than or equal to 1050:
(x+7)(5x+35) ≥ 1050
Multiplying this, we have:
x*5x+x*35+7*5x+7*35 ≥ 1050
5x²+35x+35x+245 ≥ 1050
Combining like terms,
5x²+70x+245 ≥ 1050
To see if 8 is a reasonable width for the tablet, we substitute 8 for x:
5(8²)+70(8)+245 ≥ 1050
5(64)+560+245 ≥ 1050
320+560+245 ≥ 1050
1125 ≥ 1050
Since this inequality is true, 8 is a reasonable width.
A polygon is regular when all angles are equal and all sides are equal (otherwise it is "irregular"). This is a regular pentagon (a 5-sided polygon)
Hey there!
Formula for the area of a triangle is (1/2)bh.
Base of this triangle is 5, height is 4.
Image attached.
Plug values into the formula:
A = (1/2)(5)(4)
Simplify.
A = (1/2)(20)
A = 10
Area of the triangle is 10 units².
Hope this helps!
Step-by-step explanation:
Distribute:
=−x2+−4x+−4+7
Combine Like Terms:
=−x2+−4x+−4+7
=(−x2)+(−4x)+(−4+7)
=−x2+−4x+3
Answer:
=−x2−4x+3
