Hello,
y=2xe^x
y'=2(e^x+xe^x)=2(x+1)e^x
y''=2(e^x+(x+1)e^x)=2(x+2)e^x
x |-infinite -2 0 +infinite
e^x | ++++++++++++++++++
x+2 |------------0 +++++++++++
y'' | -----------0 +++++++++++
y''<0 if x<-2
<span>The interval on which the graph is concave down is (-infinite -2[</span>
Alliteration
how I remember is that the 2 L’s are together in the word, and the same letter is repeated in the sentence.
if that makes sense,
hope i’m not too late!!
Answer:
3 hours
Step-by-step explanation:
$12 = 2hours
Find how much Clare was paid for one hour
Total money earned ÷ number of hours = wage per hour
12 ÷ 2 = $6 per hour
set up equation
6x = 18
This equation says 6 dollars an hour × number of hours = $18
To solve for this equation, divide both sides by 6 (this isolates the variable)
6x ÷ 6 = 18 ÷ 6
1x = 3
x = 3
Answer:
x = 4
Step-by-step explanation:
Step 1: Subtract 4 from both sides.
5x+4−4=24−4
5x=20
Step 2: Divide both sides by 5.
5x
5
=
20
5
x=4
you welcome love
Answers:
k = 13The smallest zero or root is x = -10
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Work Shown:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
