Answer:
see explanation
Step-by-step explanation:
(1)
Given
g(r) = (r + 14)² - 49
To obtain the zeros, let g(r) = 0 , that is
(r + 14)² - 49 = 0 ( add 49 to both sides )
(r + 14)² = 49 ( take the square root of both sides )
r + 14 = ± 
= ± 7 ( subtract 14 from both sides )
r = - 14 ± 7, then
r = - 14 - 7 = - 21 ← smaller r
r = - 14 + 7 = - 7 ← larger r
(2)
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
g(r) = (r + 14)² - 49 ← is in vertex form
with vertex = (- 14, - 49 )
The quotient in polynomial form is C. x² - x ₊ 1.
<h3>What is synthetic division?</h3>
In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.
The given problem is-
-3 | 1 2 -2 3
Using synthetic division method,
-3 | 1 2 -2 3
<u>| -3 3 3 </u>
|1 -1 1 6
So, the remainder from the calculation is 6 .
And the quotient polynomial is x² - x ₊ 1.
Hence, the correct answer for the given question is C. x² - x ₊ 1
More about Synthetic division method :
brainly.com/question/12642065
#SPJ1
Answer:
y=69
Step-by-step explanation:
first step:when y=26 and x=21
c=y-x
c=26-21
c=5
second step: when y is unknown and x=64
To find y we simply add the value of c to x
y=x+c
y=64+5
y=69
Answer:
2.5cm
Step-by-step explanation:
area of trapezium = 4 * area of parallelogram
1/2(a+b)*h=4* bh
1/2(5+11)*4= 4* 3.2x
8*4=4*3.2x
8/3.2=x
2.5cm=x
Answer:
$6.8
Step-by-step explanation:
suppose Molly's account balance = X
25 + 2.2 = X * 4
27.2 = X*4
27.2/4 = X = 6.8
