Answer:
Martina is 53 inches tall.
Step-by-step explanation:
In order to write an expression that relates the siblings heights we need to attribute variables to each brother. First we will call Martina's height as "m", then we can call her little brother's height as "b". The problem states that Martina's height is 3 inches less than twice the height of her brother so we have:
m = 2*b - 3
Then the problem gives us the height of her brother that is 28 inches tall, so b = 28. We can now compute Martina's height:
m = 2*28 - 3 = 56 - 3 = 53 inches.
The story problem of shawn's poster length and width is the correct one
Let one integer be x, the consecutive odd integer is x+2
reciprocals are 1/x and 1/(x+2)
1/x +1/(x+2)=24/143
make the denominators the same:
(x+2)/[x(x+2)] +x/[x(x+2)]=24/143
143(2x+2)=24(x)(x+2)
286x+286=24x²+48x
24x²-238x-286=0
use the quadratic formula: x=22 this doesn't work because 22 is not an odd number.
or x=-2.1666666666 (this is not an integer)
weird.
f-¹(x)=
Answer:
Solution given:
f(x)=
Let f(x)=y
y=
Interchanging role of x and y
x=
doing crisscrossed multiplication
x(y+7)=-2y+2
now solve it:
xy+7x=-2y+2
keep like terms in one side
xy+2y=2-7x
take common
y(x+2)=2-7x
make a value of y
y=
So,
f-¹(x)=
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.
Step-by-step explanation:
The y-intercept of this line is the value of y at the point where the line crosses the y axis.