Answer:
x = (e^4 -2)/3
x≈17.533
Step-by-step explanation:
ln(3x+2)=4
raise each side to e
e^ ln(3x+2) = e^4
3x+2 = e^4
subtract 2 from each side
3x = e^4 -2
divide by 3
x = (e^4 -2)/3
putting this in a calculator
x≈17.533
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Answer: A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5.
3x + 11.63 = 20
3x + 11.63 - 11.63 = 20 - 11.63
3x = 8.37
by subtracting the 11.63 from both sides, this tells us how much the grapes cost....not per lb., but for the total of all the grapes.
Answer:
Option B.
Step-by-step explanation:
Consider the below figure attached with this question.
It is given that triangle ABC is an isosceles triangle.
From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).
Distance formula:
Using this formula, we get
Now,
Perimeter of triangle ABC = AB + BC + AC
So, perimeter of triangle ABC is 
units.
Therefore, the correct option is B.
