Answer:
4(k - 3)(3k + 5)
Step-by-step explanation:
Given
12k² - 16k - 60 ← factor out 4 from each term
= 4(3k² - 4k - 15) ← factor the quadratic
Consider the factors of the product of the coefficient of the k² term and the constant term which sum to give the coefficient of the k term
product = 3 × - 15 = - 45 , sum = - 4
Factors are - 9 and + 5
Use these factors to split the middle term
3k² - 9k + 5k - 15 → ( factor the first/second and third/fourth terms
= 3k(k - 3) + 5(k - 3) ← factor out (k - 3)
= (k - 3)(3k + 5)
Hence
12k² - 16k - 60 = 4(k - 3)(3k + 5) ← in factored form
Answer:
Answer C is correct.
Step-by-step explanation:
f(x) clearly has a maximum: y = +10 at x = 0.
Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down. Thus, -10 is the maximum value; it occurs at x = -1.
Answer A is false. Both functions have max values.
Answer B is false. One max is y = 10 and the other is y = -10.
Answer C is correct. The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.
Answer D is false. See Answer B, above.
Answer:
y = x + 7
y = (-x) + 2
X + 7 = (-x) + 2
X + X = 2 - 7
2x = (-5)
<h3>x = (-5)/2 </h3>
Putting the value of X in equation
Y = (-5/2) + 7
Y = (-5)/2 + 7/1
Equalising the denominator by Taking LCM
Y = (-5)/2 +14/2
Y = ( -5 +14)/2
<h3>Y = (9)/2 </h3>
Answer: C. 0.8p
Step-by-step explanation:
Since Darien is discounting the prices by 20%, the new price will be 80% of the original price, or 0.8 times the original price
