Answer:
(-4,0) and (4,0)
Step-by-step explanation:
The x-intercepts occur for values of x where f(x) = 0.
f(x) = 0 when the nominator (
) = 0.
is a difference of squares,
so you can factor it as (x + 4)(x – 4)
When x = –4 or x = 4, the nominator is 0, and f(x) = 0
Answer:
Width is 25 ft
length is 60 ft
Step-by-step explanation:
Here, we want to calculate the length and width of the garden
From the question, we are told that the length is 10 ft more than twice its width
So if the width is x ft
Length = 2x + 10
Mathematically, the perimeter of a rectangle i s 2(l + b)
So;
2(x + 2x + 10) = 170
2(3x + 10) = 170
3x + 10 = 85
3x = 85-10
3x = 75
x = 75/3
x = 25 ft
length is;
2(25) + 10 = 50 + 10 = 60 ft
Standard Form is ax + by = c, where a, b, and c are not fractions and a is not negative.
So, you can go through each of your options to see which ones work with those rules.
A. 2.5x + 3y = 12 No, this is not in Standard Form. 2.5 can be rewritten as 2<span>
, menaing A is a fraction, which you can't have.
B. -10x - 3y = 1 No, this is not in Standard Form. A is -10, but A can't be negative.
C. 2x + 3y = 12 Yes, this is in Standard Form. It follows all of the rules.
D. 5x + 5y = 10 Yes, this is in Standard Form. It follows all of the rules.
So,
C and
D are both written in Standard Form.
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Answer:the width of plywood = 6.25 feet wide or 6 1/4 feet wide
Step-by-step explanation:
Step 1
Area of a rectangular plywood = length x width
Area of Ist Plywood= 7 x w
Area of 2nd Plywood= 61/2 x w=6.5 xw
But Total Arae of trhe two Plywoods are = 84 3/8 square feet.
Therefore Our equation to solve the problem becomes
Area of Ist Plywood + Area of 2nd Plywood =84 3/8 square feet.
7w + 6.5w = 84 3/8
13.5w= 84 3/8
w = 84 3/8/13.5
675/8 / 13.5
w=6.25
Therefore the width of plywood = 6.25 feet wide or 6 1/4 feet.
