Layla and Sam are both dog sitters. Layla charges $2 per day plus a sign-up fee of $3. Sam charges a flat rate of $3 per day. Th
e system of linear equations below represents y, the total amount earned in dollars for x days of dog sitting.
1. Write the equation to represent Layla’s fees
2. Write the equation to represent Sam’s fees
3. After how many days do Layla and Sam earn the same amount for dog sitting?
What is that amount?
1. Write the equation to represent Layla’s fees
2. Write the equation to represent Sam’s fees
3. After how many days do Layla and Sam earn the same amount for dog sitting?
What is that amount?
1 answer:
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Answer:
The answer is X>6
if you click the image it will show the steps to solving the inequality. hope this helps.
Answer:
Option C = 15
Step-by-step explanation:
In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>
In the given question we know that <em></em> when
<em>, </em>which translates as
This tells us that varies by a factor (lets call it)
for a given value of
.
To find this factor we can just divide 45 with 9 which gives:
Thus the factor here is
which finally tells us that
Eqn (1) our original function.
Since we now know our function we can plug in the value for and solve for
as follow:
Looking at the given options in the question we can conclude that the correct answer is Option C = 15
Answer:
The quotient is : x+9
The remainder is : 13
Step-by-step explanation:
The question requires you to perform the long division method;
This will be;
start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;
x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x
- x²-2x+0 ------------perform subtraction of like terms
---------------------
9x-5 ----now divide this answer by x-2 ,starting with x and 9x
----------------------This will give , 9 then multiply 9 by x-2 to get 9x-18 and perform the subtraction operation as;
9x-5
- 9x-18
------------------------
13
So the answer will be; x+9 remainder 13