Answer:
y=4
Step-by-step explanation:
3(9) +4y= 43
27+4y=43
4y=16
y=4
Step-by-step explanation:
Y= m x+ C
m (slope ) = 2 - (_3) / 0 _( - 9 )
= 5 / 9
( O, 2 ) Satisfying equation
2= 5/9 ( 0) + C
C= 2
So eq. is
y= 5/ 9 X + 2
Start with assigning each person with a variable to represent their height
Ebi: e
Jose: j
Derell: d
Asami: a
Ebi'd height was 2.5 cm greater than Jose's height
j + 2.5 = e
Jose's height was 3.1 cm greater than Derell's
d + 3.1 = j
Derell's height is 0.4 cm less than Asami's height
a - 0.4 = d
Ebi is 162.5 cm tall
e = 162.5
So, plug in 162.5 into any of the above equations were there is a variable of e
j + 2.5 = e
j + 2.5 = 162.5
Subtract 2.5 from both sides of the equation
j = 160 cm
Jose's height is 160 cm
Now, plug in 160 into any of the above equations where there is a j
d + 3.1 = j
d + 3.1 = 160
Subtract 3.1 from both sides of the equation
d = 156.9 cm
Derell's height 156.9 cm
so, plug in 156.9 into any of the above equations where there is a d
a - 0.4 = d
a - 0.4 = 156.9
Add 0.4 on both sides of the equation
a = 157.3 cm
Asami's height is 157.3 cm
Answer:
New balance = -151.89 + 4.5x
(where x is the value of the smaller deposit)
Step-by-step explanation:
The inicial balance was -126.89.
Then, it were made two deposits, one with the value of x, and one that is 3 1/2 times the other, that is, 3.5x.
Then, the customer made a withdraw of $25.
So, The new balance can be calculated as:
New balance = inicial balance + x + 3.5x - 25
New balance = -126.89 + 4.5x - 25
New balance = -151.89 + 4.5x
Answer:
Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:
so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:
now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:
so we must define p, q, p' and q':
p=ln U
q'=U-5
and now we plug these into the formula:
Which simplifies to:
Which solves to:
so we can substitute U back, so we get:
and now we can simplify:
notice how all the constants were combined into one big constant C.
