Answer:
Step-by-step explanation:
Given
Required
Determine the length of LS
Since H is between L and S, then
Substitute 14x - 21 for LS, 15 for LH and 8x for HS
Collect Like Terms
Divide both sides by 6
Substitute 6 for x in
<em>Hence, the length of LS is 63 units</em>
Answer:
the function is continuous from the left at x=1 and continuous from the right at x=0
Step-by-step explanation:
a function is continuous from the right , when
when x→a⁺ lim f(x)=f(a)
and from the left when
when x→a⁻ lim f(x)=f(a)
then since the functions presented are continuous , we have to look for discontinuities only when the functions change
for x=0
when x→0⁺ lim f(x)=lim e^x = e^0 = 1
when x→0⁻ lim f(x)=lim (x+4) = (0+4) = 4
then since f(0) = e^0=1 , the function is continuous from the right at x=0
for x=1
when x→1⁺ lim f(x)=lim (8-x) = (8-0) = 8
when x→1⁻ lim f(x)=lim e^x = e^1 = e
then since f(1) = e^1=e , the function is continuous from the left at x=1
The total number of leaves that was collected by Lisa is the product of the number of days in a week and the number of leaves she collected per tree. This is shown below, (7 trees / week) x (7 leaves / 1 tree) = 49 leaves / weekThus, Lisa collected 49 leaves in a week.
x Margo's age
Jaun + Margo
(2x+5) + x = 29
3x = 24
x = 8, Margo's age. Jaun 21 2*8+5
And to check...
sum = 29
Answer:
Step-by-step explanation:
(7,6) (-3,-1)
(x1,y1) (x2,y2)
