Answer:
X+4
Step-by-step explanation:
length times width = area
(X+7)(X-4) = x^2 +3x-28
Answer:
f(x) is reflected over the x-axis and vertically scaled by a factor of 3
Step-by-step explanation:
If you compare the two functions, you see that ...
g(x) = -3f(x)
Multiplication by -1 effects a reflection over the x-axis. (All y-values are transformed to their opposite.)
Multiplication by 3 is a vertical scaling by a factor of 3.
Taken together, f(x) is reflected over the x-axis and vertically scaled by a factor of 3.
The answer in your case is B
Answer:
1). Options (B) and (E)
2). First train is going faster than the second train.
Step-by-step explanation:
1). Rate of 2 gallons of vinegar = $3
Therefore, per gallon rate of vinegar = = $1.5
In $3 quantity of vinegar chef will get = 2 gallons
Therefore, quantity of vinegar chef will get in $1 = gallons
Option (A).
Price of 4 gallons = 4 × $1.5 = $6.00
False.
Option (B)
Price of 1 gallon = $1.50
True
Option (C)
Price of 30 gallons = 30 ×$1.5 = $45
False.
Option (D)
In $2 number of gallons of vinegar chef will get = gallons
False
Option (E)
Number of gallons of vinegar chef gets in $1 =
True
Therefore, Options (B) and (E) are the correct.
2). Speed =
For first train,
Speed =
= 90 miles per hour
For second train,
Speed =
= 40 miles per hour
Since, 90 miles per hour > 40 miles per hour
First train is going faster than the second train.
By clearly looking at the sequence there are in Arithmetic Progression
So for finding which term is 2218 in that sequence
we have x_{n} = a+ (n-1)d
Here,
a=3
x_{n}=2218 & d=5(by looking at the sequence given)
by substituting those values we get our desired result
2218=3+(n-1)5
2218-3=(n-1)5
2215=(n-1)5
2215/5=n-1
453=n-1
n=454
so 454 term is 2218