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AnnyKZ [126]
3 years ago
12

Jerry charges $15 for each lawn that he cuts. Depending homework and chores, he has time to cut at most 10 lawns a week. Jerry h

as determine his fixed cost to be $10 a week and that his profit for a week can be modeled by the function y = 15x − 10. Which BEST describes the domain for this function? A) number of yards Jerry cuts; x ≥ 0 B) number of yards Jerry cuts; x ≤ 10 C) number of yards Jerry cuts; x ≥ 10 D) number of yards Jerry cuts; 0 ≤ x ≤ 10
Mathematics
2 answers:
DIA [1.3K]3 years ago
7 0

Answer:

d

Step-by-step explanation:

vova2212 [387]3 years ago
6 0

Answer:  D) Number of yards Jerry cuts; 0 ≤ x ≤ 10  

Step-by-step explanation:

Here the given function that describes the total profit,

y = 15 x - 10

Where x represents the number of lawns Jerry cut in a week.

But, Depending homework and chores, he has time to cut at most 10 lawns a week.

Thus, x ≤ 10

Also, the number of lawns can not be negative.

Therefore, x ≥ 0

And, the value of x will decide the domain of the function y,

Thus, the domain of the given function is,

0 ≤ x ≤ 10

⇒ Option D is correct.



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The difference of two numbers is 33. The sum of the first number and four times the second number is -2. What is the larger of t
defon

Answer:

The larger of the two is 44.67

Step-by-step explanation:

let the first number=x

let the second number=y

We can derive a system of equations using the mathematical statements

Their sum is 33:

x+y=33( call this equation 1)

Sum of first number and four times the second is -2:

x+4y=-2(call this equation 2)

Since the integer coefficients of x in both equations are the same we can quickly subtract one from the other to eliminate it

For this explanation, I choose to subtract equation 1 from 2

(x+4y=-2)-(x+y=33)=3y=-35

y=-35/3

Now plug in the value of y into any equation for that of x. Say we plug into equation 1

x+(-35/3)=33

x-35/3=33( multiply through by 3)

3x-35=99

3x=99+35

3x=134

x=134/3

Therefore,x=134/3 or 44.67 and y=-35/3 or -11.67

7 0
3 years ago
Triangle PQR has vertices , , and . It is translated according to the rule . What is the y-value of ?
steposvetlana [31]

Answer:

-10 is the correct answer to the given question .

Step-by-step explanation:

Missing information:

Following question is incomplete there is no information about the vertices and the rules .Following are the complete question that is mention below

Triangle PQR has vertices P(-2, 6), \ Q(-8, 4), and\  R(1, -2). It is translated according to the rule    (x, y)\ -> \  (x\  - \ 2, y\  - 16). What is the y-value of P'?

Now coming to the solution as already mention in the question

The translated rule is (x, y)\  -> (x - 2, \ y -16).

Now calculated the vertices P value according to the rule of translated

P(-2, 6)\\Now \  apply \ the\ translated\ rule \ in\  P\ vertices\\P(-2, 6)->P1(-2-2,\ 6-16)\\P1->(-4,-10)

So -10 is the value of y in P vertices .

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