Answer:
(d) (4x² +7)(x -3)
Step-by-step explanation:
This polynomial can be factored by factoring pairs of terms.
= (4x³ -12x²) +(7x -21)
= 4x²(x -3) +7(x -3)
= (4x² +7)(x -3)
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<em>Additional comment</em>
The answer choices suggest we're not interested in irrational or complex factors. The quadratic (4x² +7) could be factored into linear terms involving irrational complex numbers. The form for "difference of squares" would be used for the purpose.
Answer:
x + 6y + 30 = 0
Step-by-step explanation:
x + 6y = 12
6y = -x + 12
y = -⅙x + 2
Slope: -⅙
y - (-4) = -⅙(x - (-6))
y + 4 = -⅙(x + 6)
-6y - 24 = x + 6
x + 6y + 30 = 0
Answer:
85
Step-by-step explanation:
To solve this, you would have to figure out what 80% of 106 is. 80% of 106 is 84.8. If you were to round this to the nearest whole number, you would get 85.
The choices are (3, 2) (2, 5) (6, 7) and (7, 5). The distance formula given two points is d = square root of [<span>(y2−y1)^2+(x2−x1)^2]. In this case, we try every point in the choices and substitute y1 equal to 6 and x1 equal to 6 as well. The answer is A from the choices.
</span>d=square root of [(6−2)^2+(6−3)2]
d=square root of [(4)^2+(3)^2]
d=square root of [16+9]
d=<span>square root of [</span>25]
d=5
