Answer:
S7 = 70/3
Step-by-step explanation:
Given:
series: 1/3+4/3+7/3+....
a = 1/3
Find:
S7
Computation
d = a2-a1
d = 4/3 - 1/3
d = 1
⇒ Sn = n/2[2a+(n-1)d]
⇒ S7 = 7/2[2(1/3)+(7-1)1]
⇒ S7 = 7/2[2/3+6]
⇒ S7 = 7/2[20/3]
S7 = 70/3
Answer:
y = (-5/4)x + 12.25
Step-by-step explanation:
Slope intercept form:
y = mx + b
Slope form:
m = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (9 , 1)
(x₂ , y₂) = (5 , 6)
Plug in the corresponding numbers to the corresponding variables.
m = (6 - 1)/(5 - 9)
Simplify.
m = (5)/(-4)
Your slope is -5/4
Plug in -5/4 for m in the slope-intercept form equation, and use a point to solve for b. For example, we will use (9, 1):
y = mx + b
y = (-5/4)x + b
(1) = (-5/4)(9) + b
Simplify.
1 = (-11.25) + b
Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Add 11.25 to both sides.
1 + (11.25) = -11.25 (+11.25) + b
1 + 11.25 = b
b = 12.25
your y-intercept is 12.25
Plug in the corresponding numbers to the corresponding variables.
y = mx + b
m = -5/4
b = 12.25
y = (-5/4)x + 12.25 is your answer.
~
Answer:
a lot of hours
Step-by-step explanation:
use your brain
use your brain
get it yourself
F(x)=2x^2+5x-8 is an example of a non-linear equation. Anything with x is linear, anything with x raised to a power (any power except 0 and 1) is non-linear.
Answer:
About 1 hour and 16 minutes
Step-by-step explanation:
From the problem, we can think that the distance between them is narrowing 11 km/hr (8 + 3). Therefore, after one hour the herd and the ranch hand are 3 km apart. We can then use 11 km/hr from earlier, and get the answer of 1 hour and 3/11 of an hour, which is about 1 hour and 16 minutes.
