The zeros of the function f(x)=(x+2)^2 - 25 are?
Answers
f(x) = (x + 2)² - 25
f(x) = (x + 2)(x + 2) - 25
f(x) = x(x + 2) + 2(x + 2) - 25
f(x) = x(x) + x(2) + 2(x) + 2(2) - 25
f(x) = x² + 2x + 2x + 4 - 25
f(x) = x² + 4x + 4 - 25
f(x) = x² + 4x - 21
x² + 4x - 21 = 0
x = -(4) +/- √((4)² - 4(1)(-21))
2(1)
x = -4 +/- √(16 + 84)
2
x = -4 +/- √(100)
2
x = -4 +/- 10
2
x = -2 + 5
x = -2 + 5 x = -2 - 5
x = 3 x = -7
f(x) = x² + 4x - 21
f(3) = (3)² + 4(3) - 21
f(3) = 9 + 12 - 21
f(3) = 21 - 21
f(3) = 0
(x, f(x)) = (3, 0)
or
f(x) = x² + 4x - 21
f(-7) = (-7)² + 4(-7) - 21
f(-7) = 49 - 28 - 21
f(-7) = 21 - 21
f(-7) = 0
(x, f(x)) = (-7, 0)
Vertex
X - Intercept
-b/2a = -(4)/2(1) = -4/2 = -2
Y - Intercept
y = x² + 4x - 21
y = (-2)² + 4(-2) - 21
y = 4 - 8 - 21
y = -4 - 21
y = -25
(x, y) = (-2, -25)
y=x^2+4x-21
y=(x+7)(x-3)
zeros are -7 and 3
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Which equation to solve the problemIt takes Zane m minutes to clean his room. This is 35 minutes more that the 22 minutes it takes to walk the dog. How long does it take to clean his room?A. m-35=22B. m+22=35C. 35-m=22D. m+35=22
I need help on this question
According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?2x + 1 2x – 1 3x + 5 3x – 5
Answers
Step-by-step explanation:
Length of the Rectangular piece of the land = 12 + 1/2 m = 25/2 m
Breadth of the Rectangular piece of the land = 5 + 1/5 m = 26/5 m
If 4 small square flower bed of side length 1 m are made at center.
To find: Area of the rectangular land , Perimeter of the rectangle and Area of land left when flower bed are mad.
Perimeter of the rectangle = 2 × ( length + breadth )
= 2 × ( 25/2 + 26/5 )
= 2 × ( 177/10 )
= 177/5 m
= 35.4 m
Area of the rectangular land = Length × Breadth
= 25/2 × 26/5
= 5 × 13
= 65 m²
Area of a flower bed = side × side = 1 × 1 = 1 m²
Area of 4 flower bed= 4 × 1 = 4 m²
Area left in the land = 65 - 4 = 61 m²
Therefore, Perimeter of the land is 35.4 m
Area of land is 65 m²
Area of the land left after flower beds is 61 m²
Answers
x^2 -qx -px + pq
x^2 -(q+p) x +pq
so the constant here is the product of p & q
the answer is A
hope this helped
Answers
Answer: 6144m^2
Step-by-step explanation:
Answers
Answer:
1/2 or 50%
Step-by-step explanation:
Blue= 4, Red= 2, Green= 2
Total marbles= 8
P(B)= 4/8= 1/2 or 50%
Answer:
1/2
Step-by-step explanation:
There are 8 marbles in total and 4 are blue, so 4/8 are blue. Then simplify 4/8 and you will get 1/2.
A) 1.81
B) 1.08
C) 1.801
Answers
Answers
cosx = +1/2 => x = +π/3 + 2kπ, where k is an integer or x = -π/3 + 2kπ, where k is an integer;
cosx = -1/2 => x = +2π/3 + 2kπ, where k is an integer or x = -2π/3 + 2kπ, where k is an integer;
Answer:
pi/3? 2pi/3?
Step-by-step explanation: