Answer:
a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
98 square feet
Step-by-step explanation:
The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.
The correct area =
15(2x + 7).
= 30x + 105 square feet
The error in Shawn’s expression is
= 15(2x + 7)
= 30x + 7 square feet
Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
30x + 105 square feet - 30x + 7 square feet
= 30x + 105 - (30x + 7)
= 30x - 30x + 105 - 7
= 98 square feet
Answer:
Ella should not have included 5 in absolute value portion of the equation
Step-by-step explanation:
Because -1 is a negative number in order to find the true distance between A and B you have to make it positive.
But, because Ella included 5 in the absolute value portion of the equation it messed up the answer.
Don't report what you don't understand
the x value of the vertex of the parabola in form
y=ax^2+bx+c
is -b/2a
given
y=6x^2-72x+220
x value of vertex is -(-72)/(2*6)=72/12=6
xvalue is 6
sub that for x in the equation
y=6(6)^2-72(6)+220
y=216-432+220
y=4
(x,y)
vertex is (6,4)
You will have 2 equations.
30x+20y=1100
and
x+y=45
by putting it into standard form
-(30/20)x+55=y
you can now solve finding the answer to be 20 for x and 25 for y.
Plug it into the original equation to find it correct and then plug it into x+y
20+25=45
30*20+25*20=1100