Answer:
Step-by-step explanation:
each zero of the function will have a factor of (x - x₀)
h(x) = a(x + 3)(x + 2)(x - 1)
h(x) = a(x + 3)(x² + x - 2)
h(x) = a(x³ + 4x² + x - 6)
or the third option works if a = 1
however this equation gives us the points (0, -6) and (-1. -4), so "a" must be -2
h(x) = -2x³ - 8x² - 2x + 12
to fit ALL of the given points as it fits the three zeros and also h(0) and h(-1) so I guess that is why the given group is a partial set of solution sets
{x | x ∈ R, x > 4}
{x | x ∈ R, x > -8}
{x | x ∈ R, x < 4}
{x | x ∈ R, x < -8}
Answer:
Step-by-step explanation:
Luis has 30 problems and after one hour, of those problems are left. This means that the total number of problems left will be .
Multiplying by a fraction is the same as dividing by a whole. The denominator of is 6, so we can divide 30 by 6.
Hope this helped!
Answer: 25
Step-by-step explanation: 1/6 of 30 is 5, so 30 minus 5 equals 25.
Answer:
Option C. (2x + 1)(x - 6)
Step-by-step explanation:
To know which option is equivalent to 2x² - 11x - 6, we shall simplify the expression as follow:
2x² - 11x - 6
Multiply the 1st term (i.e 2x²) and last term (i.e - 6) together. This is illustrated below:
2x² × - 6 = - 12x²
Next, find two factors of - 12x² such that when we add them together, it will result to the 2nd term (i.e - 11x) in the expression above.
The factors are x and - 12x
Next, replace - 11x with x and - 12x in the expression 2x² - 11x - 6 as shown below:
2x² - 11x - 6
2x² + x - 12x - 6
Next, we shall factorise the expression 2x² + x - 12x - 6 as follow:
2x² + x - 12x - 6
x(2x + 1) - 6(2x + 1)
(2x + 1)(x - 6)
Thus,
2x² - 11x - 6 is equivalent to (2x + 1)(x - 6)
The simplified form of the given expression is -9x - 6. Unfortunately, none of the provided options A, B, C or D is equivalent to this expression when simplified.
This question is centered around the idea of finding an expression that is equivalent to the given. First step is to simplify the given expression, which is 2x - 11x - 6. To simplify, combine like terms that leads to -9x - 6.
Next, we look at each of the provided options to find which one would simplify to the same expression:
A. 2 (x - 3) (x + 1) simplifies to 2x^2 -4x - 6 which isn't equal to -9x - 6
B. (2x + 3) (x - 2) simplifies to 2x^2-4x -6, which again doesn't match our given expression.
C. (2x + 1) (x - 6) simplifies to 2x^2 - 12x - 1, which doesn't match as well.
D. 2 (x + 3) (x - 2) simplifies to 2x^2 -2x -12, yet another mismatch.
With all options examined, none of the provided expressions are equivalent to the original expression of -9x - 6.
#SPJ3
Answer:
4.5 pounds of ground beef
Answer:
4.5
Step-by-step explanation:
You would divide 72 by 16 to get 4.5 as the answer.