Step-by-step explanation:
Hey there!
Given;
f ( x ) = x² + 2x - 1
g ( x ) = 3x - 2
To verify:
LHS:
~ Insert "2" instead of "x".
Simplify it;
Therefore; (f/g)(2) = 7/4.
RHS:
~Insert "2" instead of"x".
Simplify it.
Therefore, f(2)/g(2) = 7/4.
Since (f/g)(2) = f(2)/g(2) = 7/4.
<em><u>Proved!</u></em>
<u>Hope </u><u>it </u><u>helps</u><u>!</u>
Answer:
We conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:
Step-by-step explanation:
Given
A number t multiplied by -4 is at least −2/5
To determine
Write the sentence as an inequality.
For the inequalities, when we mention 'at least', we can term it as 'greater than or equal to' symbol such as '≥'.
It is stated that A number t multiplied by -4 is at least −2/5.
Let 't' be the number.
Multiplying t by -4 is: -4t
Thus, A number t multiplied by -4 is at least −2/5 will be written as:
-4t ≥ -2/5
Therefore, we conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:
Answer:
1 and 1/4 liters of paint are needed for one door
Step-by-step explanation:
You can eliminate each answer choice out. For '4/5 liters' you know that if that amount was used, it wouldn't be reasonable since it would mean that the more was used for the other 3/5 door. 3 and 1.5 would be too much since it is over 2 liters. 2 liters wouldn't be logical since you paint 1 <em>and</em> 3/5 of a door and you only used 2 liters, no more or no less, basically what would you use for the other 3/5 door if this was the answer.
Hope this helps!
I=Prt
I=$1,200(0.04)3
I=$144
Answer:
roots: 1 and 3
k = 3
Step-by-step explanation:
2 roots: p and p+2
(x-p) (x-p-2) = x² - 4x + k
x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k
-2 (p+1) = -4
p+1 = 2
p = 1 ... root 1
p' = 1+2 = 3 ... root 2
k = p² + 2p = 3
check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k
