Answer:
Let's see the first two points: (-7, 5) and (-5, 9)
The line passes these points has a form of: y = Mx + b
=> 5 = (-7)M + b
9 = (-5)M + b
Subtract the 1st equation from 2nd equation, we have:
4 = 2M
=> M = 2
Substitute M back into 1st equation:
=> 5 = (-7)*2 + b
=> b = 19
=> y = 2x + 19
or y - 5 = 2x + 14
or y - 5 = 2(x + 7)
=> Option A is correct
Hope this helps!
:)
Answer:
16b^4-9
Step-by-step explanation:
Factoring gives us 16b^4+12b^2-12^2-9. Simplifying gives us the answer which is 16b^4-9
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.
Answer:
Step-by-step explanation:
Given
Required
Write the variables and constants on different sides
Add 2x to both sides
Add 5 to both sides
Hence, the equation is
Solving further [divide both sides by 5]
