Answer:
27
Question:
Find
so that
is a solution to
.
Step-by-step explanation:
So we are asked to replace
with -14 and solve for
in the equation:
.
with
:


Add 42 on both sides:

Divide both sides by 2:
.
So the
-coordinate that corresponding to
is
.
Verify that:
is a point satisfying
.
Replace
with 27 and
with -14:


is true so our work must be right.
Multiply the $75 by 1.125 which represents the total amount of interest AND the orgininal amount
75*1.125=$84.37
2 significant digits should be represented in the product
=Y2-10Y
We move all terms to the left:
-(Y2-10Y)=0
We add all the numbers together, and all the variables
-(+Y^2-10Y)=0
We get rid of parentheses
-Y^2+10Y=0
We add all the numbers together, and all the variables
-1Y^2+10Y=0
a = -1; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-1)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
Y1=−b−Δ√2aY2=−b+Δ√2a
Δ‾‾√=100‾‾‾‾√=10
Y1=−b−Δ√2a=−(10)−102∗−1=−20−2=+10
Y2=−b+Δ√2a=−(10)+102∗−1=0−2=0
To figure out long it took for Ingrid to walk her dog,multiply 3*1 and 1/2 or 3*1.5 to get 4.5 hours or 4 and 1/2 hours.