Answer:
-1
Step-by-step explanation:
Given,
f(x) = -x² + 4x - 1 and x = 0
Putting the value of x we get,
f(0)=
+ (4 X 0) - 1
= -0+0-1
=-1
∴f(x)= -1
So, the required value is -1
Answer:
The dimensions are 6 by 5 feet.
Length = 6 feet.
Width = 5 feet.
Step-by-step explanation:
Let the length = L
Let the width = W
Perimeter of a rectangle = 2L + 2W
Translating the word problem into an algebraic equation, we have;
L = 2W - 4 ........equation 1
22 = 2L + 2W .......equation 2
Substituting the value of "L" into equation 2, we have;
22 = 2(2W - 4) + 2W
22 = 4W - 8 + 2W
22 + 8 = 6W
30 = 6W
W = 30/6
Width, W = 5 feet.
To find the length, L
Substituting the value of "W" into equation 1, we have;
L = 2W - 4
L = 2(5) - 4
L = 10-4
Length, L =6 feet
Therefore, the dimensions of the garden are 6 by 5 feet.
Answer:
We can call the amounts of red, gray, and brown dye 1 1/8x, 3/4x and 5/8 x respectively and we can write the equation:
1 1/8x + 3/4x + 5/8x = 20
2 1/2x = 20
x = 8 which means that the stylist needs 1 1/8 * 8 = 9 oz red, 3/4 * 8 = 6 oz gray and 5/8 * 8 = 5 oz brown.
Answer:
(6,7) is a solution
Step-by-step explanation:
To determine if (6,7) is a solution, we substitute the point in and see if the inequality is true
15x+11y>12
15(6) + 11(7) >12
90+77 > 12
167>12
This is true so (6,7) is a solution