Hack
for y=ax^2+bx+c
the xvalue of the vertex is -b/2a
and the y value is found by subsituting that for x
so
-b/2a
h(t)=2x^2+4x+7
a=2
b=4
-b/2a=-4/(2*2)=-4/4=-1
the y value
h(-1)=2(-1)^2+4(-1)+7
h(-1)=2(1)-4+7
h(1)=2+3
h(1)=5
(-1,5) is da vertex
Answer:
$1632
Step-by-step explanation:
Given data
Principal= $1200
Rate= 12%
Time= 3 years
The simple interest expression is given as
A= P(1+rt)
substitute
A=1200(1+0.12*3)
A=1200(1+0.36)
A=1200*1.36
A=$1632
Hence the amount is $1632
Answer:
so 5 miles upstream and 15 miles downstream
Step-by-step explanation:
25/5=5
30/2=15
Answer:
54mph
Step-by-step explanation:
Answer:
= 54 miles per hour
Showing WorkThis is a fraction equal to
324 miles ÷ 6 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 6
324 miles
÷ 6
6 hours
÷ 6
=
54 miles
1 hour
=
54 miles
hour
= 54 miles per hour
Answer:
feet tall
Step-by-step explanation:
Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number 
.
His sister is "3 eighths foot shorter", so she's 3/8 feet shorter than 5 1/4.
So, this is just a subtraction problem:
To solve this, we want to convert 5 1/4 into an improper fraction, which is: 
. Now, we want to find a common denominator. In this case, that common denominator is 8, so 
.
Finally, we subtract 3/8 from 42/8: 
. So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4
.
Therefore, Ajax's sister is feet tall.
Hope this helps!
