Answer:
x = - 3, y = - 1
Step-by-step explanation:
y = 7x + 20 -----> equation 1
4x - y = - 11
4x - ( 7x + 20 ) = - 11
4x - 7x - 20 = - 11
- 3x = - 11 + 20
- 3x = 9
x = 9 / - 3
x = - 3
Substitute x = - 3 in equation 1,
y = 7 ( - 3 ) + 20
= - 21 + 20
y = - 1
Hence,
x = - 3
y = - 1
Answer:
(2y + 22) years
Step-by-step explanation:
kamau is now 2 years older than Jane if Janes age is y now what will be the total age in 10 years.
Answer: If Jane is y years old now and Kamau is 2 years older than Jane, therefore the age of Kamau now would be 2 + y years.
In ten years time Jane age would be y + 10 years while the age of Kamau would be y + 2 + 10 = y + 12 years.
To get their total age we just have to add their individual age. Therefore the total age in 10 years = Age of Kamau in ten years + age of Jane in ten years = (y + 12) + (y + 10) = y + 12 + y + 10 = y + y + 12 + 10 = 2y + 22 years
Answer:

Step-by-step explanation:
Let
x -----> the number of hours
y ----> the total cost to rent a bike in dollars
we know that
The equation of the line in slope intercept form is equal to

where
m is the slope or the unit rate of the linear equation
b is the y-intercept or the initial value
In this problem we have
The unit rate or slope is equal to

The y-intercept (value of y when the value of x is equal to zero) is equal to
----> (fee charge)
substitute the values

The average rate of change from x = -1 to x = 2 is 2
<u>Solution:</u>
Given function is:
f(x) = 2x - 1
We have to find the average rate of change from x = -1 to x = 2
<em><u>The average rate of change is given as:</u></em>

<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>

<em><u>Find f(2) and f( - 1)</u></em>
<em><u>Substitute x = 2 in given function</u></em>
f(2) = 2(2) - 1 = 4 - 1 = 3
<em><u>Substitute x = -1 in given function</u></em>
f( - 1) = 2(-1) - 1 = -2 - 1 = -3
<em><u>Substitute the values in above formula,</u></em>

Thus average rate of change from x = -1 to x = 2 is 2
Answer:
segments LJ and LI are congruent
Step-by-step explanation:
look for the little lines (tick marks)
similar marks mean congruent to each other