Answer:
(1)The value of x is -9 .
Option (B) is correct .
(2)The value of x is 13 .
Option (A) is correct .
(3)The value of the x is 11 .
Option (D) is correct .
(4) The value of the x is -15 .
Option (A) is correct .
(5)The value of the x is -11 .
Option (C) is correct .
Step-by-step explanation:
First Part
As given
4x = -36
x = -9
Therefore the value of x is -9 .
Option (B) is correct .
Second Part
As given
5x - 15 = 50
5x = 50 + 15gg
5x = 65
x = 13
Therefore the value of x is 13 .
Option (A) is correct .
As given
4(x+2)-17=35
4x + 8 - 17 = 35
4x = 35 + 17 - 8
4x = 44
x = 11
Therefore the value of the x is 11 .
Option (D) is correct .
Fourth Part
As given
6x+12=4x-18
6x-4x = -12-18
2x = -30
x = -15
Therefore the value of the x is -15 .
Option (A) is correct .
Fifth Part
As given
Simplify the above
4x-10+5×2 = 2x-22
4x-10+10= 2x-22
4x-2x = -22
2x=-22
x = -11
Therefore the value of the x is -11 .
Option (C) is correct .
Salei is 70%
28=70%
divide both sides by 7
4=10%
times both sides by 10
40=100%
regular price=$40
Answer:
(a) 16 ft/s
(b) 1.5 s
Step-by-step explanation:
(a) Put 1 where t is in the expression and do the arithmetic:
-32×1 +48 = 16 . . . . feet per second
__
(b) Use the hint and solve for t:
-32t +48 = 0
t -1.5 = 0 . . . . . divide by 32
t = 1.5 . . . . . . . . add 1.5
The ball reaches its maximum height after 1.5 seconds.
The "standard" parabola with roots 0 and 2 is
All multiples of this parabola, i.e.
have the same roots. We can choose the factor such that the parabola passes through the desided point: if we plug 1, 5 for x, y we have
So, our claim is that the parabola
has roots 0 and 2 and vertex at (1, 5).
You can easily verify this: the roots are guaranteed by the fact that we can write the equation as
The vertex must be at x=1, because it's the midpoint of the roots. Moreover, if we evaluate the function at x=1 we have
as required.
Answer:
The answer is below
Step-by-step explanation:
Let x represent the cost of apples, y represent the cost of strawberries and z represent the cost of oranges.
The money used to buy 2 apples, 3 boxes of strawberry, and 4 oranges is represented as:
2x + 3y + 4z = 15.3 (1)
The money used to buy 4 apples, 1 boxes of strawberry, and 2 oranges is represented as:
4x + y + 2z = 10.9 (2)
The money used to buy 5 apples, 2 boxes of strawberry, and 1 oranges is represented as:
5x + 2y + z = 13.7 (3)
Solving equation 1, 2 and 3 simultaneously gives:
x = $1.5, y = $2.5 and y = $1.2
The cost of orange is $1.5, cost of strawberry = $2.5 and cost of orange = $1.2