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myrzilka [38]
3 years ago
9

Determine the solution to f(x) = g(x) using the following system of equations: f(x) = 3x + 12 g(x) = -9.5x - 13

Mathematics
2 answers:
Anit [1.1K]3 years ago
7 0
Answer:

x=2

Step by step:
f(x)=g(x)

3x+12= -9.5x-13 simplifies to the equation below

3x+9.5x= -13-12

12.5x= -25
next, divide by 12 on both sides to isolate the variable, x.

12.5x/12 = -25/12

x=-2

to check: 3(-2)+12= -95x(-2)-13
-6+12= 19-13
6=6 ✅
Mekhanik [1.2K]3 years ago
7 0

Answer:

-2

Step-by-step explanation:

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A family daycare center charges a one-time $80 enrollment fee and $90 per week (w).
Vladimir79 [104]

You would multiply the weekly amount by the number of weeks (w) and add that to the one time fee:

t = 90w + 80

7 0
4 years ago
Find the area of the shaded region if the dimensions of the unshaded region are 20ft x 35ft . use 3.14 for π as necessary.
Westkost [7]

Area of the shaded region is 1397.46 square feet.

<h3>what is area of shaded region?</h3>

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. The area of the shaded part can occur in two ways in polygons. The shaded region can be located at the center of a polygon or the sides of the polygon.

We are to find the area of the shaded region. For that, we will divide the figure into smaller shapes, find their areas separately and then add them up.

From the given figure, we can see that there are two semi circles or say one whole circle if we combine them at the ends while 2 rectangles at the top and bottom.

Radius of circle = \frac{20+7+7}{2} = 17

Area of circle = \pi r^{2}

                      = \pi( 17)^{2}

                      = 907.92 square ft.

Area of rectangles =2×(l×b)

                              = 2×20×35

                              = 490 square ft

Then,

Area of the shaded region = 907.92 +490

                                            = 1397.46 square ft

Hence,Area of the shaded region is 1397.46 square ft.

To learn more about area of shaded region from the given link:

brainly.com/question/12930222

The above question is not complete.

#SPJ4

8 0
2 years ago
Plz help me!!!!!!!!!!!!!!!
ki77a [65]

Answer:

Go up 2, then over negative 6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Why does dividing five by dismal less than one give a quotient greater than five
sweet [91]
Because that's how many times the quotient goes into the whole number. 100 divided by 4 = 25 100 divided by a lesser number than 4, say 2, = 50 100 divided by an even lesser number than 4, say 1, = 100. Notice the pattern. Each time we divide by a lesser number, the quotient (the answer) gets larger and larger Dividing by 1 already equals a quotient that is EQUAL to the original number we are dividing. Thus, for the pattern to continue, the quotient must become greater than the number. 100 divided by an even lesser number than 1, say .5 = 200.
7 0
4 years ago
Kinnear Plastics manufactures various components for the aircraft and marine industry. Kinnear buys plastic from two vendors: Ta
Goshia [24]

Answer:

Tappan    is $1400      

Hill             is  $1420

Step-by-step explanation:

Particulars                                      Tappan             Hill

Tons purchased                             4500            7500

Tons discarded                                135                 375

% plastic discarded                             3%               5%

% plastic accepted for                           97%             95%

Quoted price                                             1358           1349

% accepted for                                            97%              95%

Effective cost per ton

= Quoted price / % accepted for

                                                                     $ 1400           $1420

Effective cost per ton

Tappan          Hill

$1400              $1420

7 0
4 years ago
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