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HACTEHA [7]
3 years ago
14

The Brown's are renting a home and are planning to set up their trash service. They are considering two local companies. Company

A charges a $50 setup fee and $15 per month. This can be represented by the linear function C = 15x + 50. Company B charges $100 for the setup fee and $12 per month. This can be represented by the linear function C = 12x + 100. They are planning to rent their home and use trash service for 6 months. Which statement is true?
A) The cost of using Company B is the same as the cost of using Company A.
B) The cost of using Company B is $32 less than the cost of using Company A.
C) The cost of using Company A is $32 less than the cost of using Company B.
D) The cost of using Company B is $18 less than the cost of using Company A.
Eliminate

Mathematics
2 answers:
Gnesinka [82]3 years ago
8 0
The answer is C. You will plug in 6 for the X value in the equations because they are going to use it for six months. c= A.15(6) + 50  and B.c=12(6) +100.
solving those out A will be $140 and B will be $172.
Viefleur [7K]3 years ago
8 0
Check the picture for the solution.

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Andreyy89

Answer:

A = 125º

Step-by-step explanation:

Missing angle is the supplement of 157.5

180 - 157.5 = 22.5

----------------------------

Sum of angles in triangle is 180

22.5 + (-10x) + (-x + 20) = 180

Combine like terms

-11x + 42.5 = 180

Subtract 42.5 from both sides

-11x = 137.5

Divide both sides by -11

x = -12.5

---------------------------

A = -10(-12.5)

A = 125º

6 0
3 years ago
What is the surface area of the regular pyramid below? I’ll would be helpful if you guys list down the steps !
meriva

Answer:

The answer to your question is A = 648 u²

Step-by-step explanation:

I attach the solution because it said that I was writing improper words.

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iragen [17]

Step 1: Find the slope:

    m= \dfrac{y_2-y_1}{x_2-x_1}= \dfrac{-2-7}{4-(-2)} =  \dfrac{-9}{6}= -\dfrac{3}{2}

This gives you y=-\dfrac{3}{2}x+b, but we need to find b.

To find b, substitute in one (x,y) pair and it doesn't matter which one.  I'll go with (4,-2):

    \begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}

Now take that b-value and plug in into the slope-intercept form:

     y=-\dfrac{3}{2}x+4

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.

7 0
3 years ago
Need some help, please. What do I plot? I attempted to figure the questions out many times, but I've come to no clear conclusion
olganol [36]

Answer:

vertex is (4,-4) and another point is (6,0) or you could use (2,0) or many other options :)

Step-by-step explanation:

The cool thing about this question your quadratic is in factored form so your x-intercepts are easy to figure out, they are 2 and 6.

So you can plot (6,0) and (2,0).

The vertex will lie half between x=2 and x=6... so it lays at (6+2)/2=4

We just have to find the y-coordinate for when x=4.

Plug in 4 gives you (4-2)(4-6)=(2)(-2)=-4.

So the vertex is at (4,-4).

5 0
3 years ago
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