Answer:
A. length = 23 cm; width = 5 cm
Step-by-step explanation:
So if 4 times the width would be 
and 3 more than would be 
, the equation would be 
. If the perimeter is 56, then the new equation, 
can be formed. This simplifies to 
, then to 
, then to 
, and finally, 
. So the width is 5, and now plug it into the first equation.
, becomes 
, becomes 
.
So the dimensions are: length = 23 cm, width = 5 cm.
*And just to be sure, 
which is correct.
Answer:
one solution, i.e x = 1 and y = -2
Step-by-step explanation:
Given two equations :
x+3y = -5 -------(1)
4x - y =6 ---------(2)
Using elimination method,
Multiply equation (2) by 3 and add it to equation (1)
We get,
x + 3y + {(4x - y)×3} = -5 +(6×3)
x + 12x + 3y - 3y = -5 + 18
13x = 13
x = 13/13 = 1
And corresponding y will be:
x + 3y = -5 , Plug x =1 to get y
1 + 3y = -5
3y = -5 - 1
y = -6/3 = -2
Hence we got only one solution, i.e x =1 and y = -2
Answer:
8t - 15
Explanation:
⇒ 3(t+5)+5(t−6)
distribute inside parenthesis
⇒ 3(t) + 3(5) + 5(t) + 5(-6)
multiply the variables
⇒ 3t + 15 + 5t - 30
collect like terms
⇒ 3t + 5t + 15 - 30
add/ subtract like terms
⇒ 8t - 15
Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2
Solution
f(x)=2x+1
y=f(x)
y=2x+1
Isolating x: Subtracting 1 both sides of the equation:
y-1=2x+1-1
y-1=2x
Multiplying both sides of the equation by 1/2:
(1/2)(y-1)=(1/2)2x
(1/2)y-1/2=x
x=(1/2)y-1/2
Changing "x" by "f^(-1) (x)" and "y" by "x":
f^(-1) (x) = (1/2)x-1/2
Answer:
5000
Step-by-step explanation:
There are 1000 meters in a kilometer.
