Answer:
D=3(h-2)
Step-by-step explanation:
h=d/3+2
h-2=d/3+2-2
h-2=d/3
3(h-2)=d/3x3
3(h-2)=d
Answer: a) x = 5 or -1 b) x = √3+2
c) x = -1/2 or -3/2
Step-by-step explanation:
a) (x − 2)² = 9
First step is to take the square root of both sides to eliminate the square
√ (x − 2)² = √9
x-2 = +-3
x = +3+2
x = 5 and;
x = -3+2
x = -1
x = 5 or -1
b) 3(x-2)² = 9
First we divide both sides by 3 to get;
(x-2)² = 9/3
(x-2)² = 3
Second step is to take the square root of both sides to eliminate the square
√(x-2)² = √3
x-2 = √3
x = √3+2
c) 6 = 24(x+1)²
Dividing both sides by 24, we have
6/24 = (x+1)²
1/4 = (x+1)²
Taking the square root of both sides we have
√1/4 = √(x+1)²
= +-1/2 = x+1
x = +1/2-1 = -1/2 and;
x = -1/2-1 = -3/2
x = -1/2 or -3/2
Answer:
27 grams of sugar
Step-by-step explanation:
If 1/3 candy contains 12 grams of sugar
Then 3/4 candy contains C grams of sugar
C= 3/4 * 12grams➗1/3=3*12*3grams➗4=108grams➗4=27 grams of sugar
Answer:
The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is 
.
Step-by-step explanation:
From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:
(1)
Where 
, 
and 
are the roots of the polynomial.
If we know that 
, 
and 
, then the polynomial function in factorized form is:
(2)
And by Algebra we get the standard form of the function:
(3)
The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is .
Answer: The answer is (4,5)
Step-by-step explanation:
