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.
Answer:
Range of Function : { - 9, - 5, - 1, 4 }
Step-by-step explanation:
We know that y = 2x - 5 provided the domain ( x - values ) { - 2, 0, 2, 4 }. Let us substitute each element in this set of domain as x in the equation "y = 2x - 5" as to solve for the y - values, otherwise known as the range of the function.
{ - 2, 0, 2, 4 }
y = 2( - 2 ) - 5 = - 9,
y = 2( 0 ) - 5 = - 5,
y = 2( 2 ) - 5 = - 1,
y = 2( 4 ) - 5 = 4
We have the set of y - values as { - 9, - 5, - 1, 4 }. This is the range of our function.
Just replace X with the given value.
X = -3
f(-3) = 5 - (-3)
f(-3) = 5 +3
f(-3) = 8