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NemiM [27]
2 years ago
15

An electrician charges an hourly rate of $50, but also charges a fixed fee for making house calls regardless of time spend on th

e job. One day, the electrician earned a total of $250 for a 2 hour job. Write an equation for C,C, in terms of t,t, representing the total cost of the electrician's services if the electrician spends tt hours at the house working.
Mathematics
1 answer:
NISA [10]2 years ago
8 0

Answer:

C=50t+150

Step-by-step explanation:

From the information given, the equation will need to show that the total cost of the electrician services would be equal to 50 that is the hourly rate for the number of hours spent working plus the fixed fee:

Fixed fee=250-(50*2)=250-100=150

According to this, the equation would be:

C=50t+150, where C is the total cost of the electrician's services and t is the number of hours spent working.

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Will give 30 points!<br> What is a expanded notation?
gavmur [86]

Answer:

It is the number written out to show each digit

Step-by-step explanation:

Let's say you have the number 459

you write out the hundredths place, which is 4 times 100

you write out the tenths place which is 5 times 10

and you write out the oneths place which is 9 times 1

the full thing written out is 459 = 100×4 + 5×10 + 9 × 1

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3 years ago
Kate can mow lawns at a constant rate of 45 lawns per hour. How many lawns can Kate mow in 20 hours?
poizon [28]

Answer:135

Step-by-step explanation:

bcs 45x60 is 2700 ÷20= 135

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2 years ago
Can someone help me to solve these questions as step by step. I really need help because I really don’t understand why I’m getti
frutty [35]
<h3>Answer:</h3>

48 - Left

  • a. domain: all real numbers; range: all numbers greater than or equal to zero
  • b. x-intercept: x=0; y-intercept: y=0
  • c. decreasing for x < 0; increasing for x > 0; constant for x=0
  • d. even; the axis of symmetry is x=0

48 - Right

  • a. both the domain and range are all real numbers
  • b. x-intercept: x=0; y-intercept: y=0
  • c. increasing everywhere except x=0; constant for x=0
  • d. odd; symmetrical about the origin
<h3>Step-by-step explanation:</h3>

48 - Left

a. The function is defined for all values of x, so its domain is all real numbers. (The <em>domain</em> is the set of numbers for which the function is defined.) For any x (positive or negative), both the graph and the function f(x)=x² tell you that the value of f(x) cannot be less than zero. Hence the range is all numbers greater than or equal to zero (all non-negative numbers). (The <em>range</em> is the set of values the function can produce.)

b. The only point where the function crosses either axis is the point (0, 0). This is both the x- and y-intercept.

c. The function goes "downhill" left of x=0, so is decreasing there. The function goes "uphill" right of x=0, so is increasing there. At x=0, the function is horizontal, so is constant there.

d. The left branch is a mirror image of the right branch, reflected across the vertical line x=0. That line is the axis of symmetry. Every point on the left branch is as far to the left of that line as the corresponding point on the right branch is to the right of it. When x=0 is the line of symmetry, the function is an even function.

___

48 - Right

a. As with f(x) = x², the function f(x) = x³ is defined for all values of x. (This is true for <em>any polynomial function</em>.) Hence the domain is all real numbers.

Unlike f(x) = x², the function f(x) = x³ can produce any value of f(x), so the range is all real numbers.

b. As with f(x) = x², the only place where the graph crosses either axis is the point (0, 0). So, both the x- and y-intercept are 0.

c. The function goes "uphill" everywhere except at x=0, so is increasing for all x except x=0, where it is constant.

d. A polynomial of odd degree is an odd function, symmetrical about the origin. Every point above or to the right of the origin has a matching point below or to the left of the origin by the same distance.

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Dmitriy789 [7]

Answer:

its D

Step-by-step explanation:

super sure.......

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Liula [17]

Answer:

-1/4, 5/8

Step-by-step explanation:

:)

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