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lord
1 month ago
12

Given f(x)=x−1−−−−√+2, what is the relationship between f(x) and f−1(x)? Drag and drop an inequality into each box to correctly

complete each statement.

Mathematics
1 answer:
Inessa [12.5K]1 month ago
8 0

Answer:

The domain of f(x) indicates x > -2, meaning the range of f-1(x) will be y > -2

The range of f(x) identifies y > -1, thus the domain of f-1(x) is x > -1

Step-by-step explanation:

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Yolanda is buying supplies for school. She buys n package of pencils at $1.40 per package and m pads of paper at $1.20 each. Wha
Inessa [12570]

To tackle this issue, we need to clarify what each variable stands for. Here, n indicates the number of pencil packages purchased by Yolanda, while m represents the number of paper pads she buys. We calculate the total cost by multiplying these variables by their individual prices, which helps us determine the expense for both pencil packages and pads of paper.

The expression "1.4n" indicates the overall cost for n pencil packages.

On the other hand, "1.2m" signifies the complete expense for m pads of paper.

As we sum these two expressions, the resulting total reflects the overall expenditure for both items.

The equation "1.4n + 1.2m" summarizes this calculation.

I hope this provides clarity!

8 0
2 months ago
Lila needs a custom frame for a painting that her friend made for her. I’ve Been Framed is offering 50 percent off plus an addit
Leona [12618]

Answer:

The Framers provides the more affordable price, being $1.35 less expensive.

Step-by-step explanation:

I've Been Framed:

50% of $115 amounts to $57.5.

10% of $57.5 equals $5.75.

Subtracting gives $57.5 - $5.75 = $51.75.

Total: $51.75

The Framers:

30% off $120 results in $36.

After discount, $120 - $36 equals $84.

40% off $84 is $33.6.

Subtracting gives $84 - $33.6 = $50.4.

Price difference: $1.35

7 0
2 months ago
2. Santiago wants the lateral surfaces of the
Inessa [12570]

Answer:

Red paint will cover 262 square feet

of the ramp.

Step-by-step explanation:

The lateral surface area represents the surface area of the sides of the ramp without including the top and bottom surfaces

This ramp has three surfaces

The two sides are triangular with dimensions of length 20 and height 8.5

The back consists of a rectangular shape with length 12 and height 8.5

Step 1: Calculating the Area of Triangle

The area of the triangular side = \frac{1}{2} length \times height

The area of the triangle = \frac{1}{2} (20 \times 8.5)

The area of the triangle = \frac{170}{2}    

Thus, the area of the triangle = 85 square feet

Area of both triangles = 85 \times 2  =  170

Step 2: Finding the Area of Rectangle

Area of rectangle = length \times height

therefore,

Area of the rectangular back = 12 \times 8.5 = 102  square feet

Step 3: Calculating the total lateral surface area

Overall Lateral Surface Area

= Area of triangles + Area of Rectangle

= 272 square feet

8 0
2 months ago
Is it possible to form a square whose area is 18 by connecting four lattice points? Explain.
babunello [11817]
Observe the squares... 13 is attainable owing to it being expressible as the sum of two squares (integers) 9 + 4.. utilize (0,3) and (2,0)... derive the square roots and assign them to different coordinate axes... for a more straightforward value. However, no such representation exists for 15... There is a representation available for 18... 18 = 3^2 + 3^2... try (0,3), (3,0), (3,6), (6,3).
5 0
2 months ago
Chris buys 8 more Ninja Turtles than Star Wars action figures. The Ninja Turtles cost $7 each and the Star Wars cost $9 each. Wr
Svet_ta [12734]
Total Cost, C = $(16S + 56). Step-by-step explanation: Chris purchases 8 more Ninja Turtles than Star Wars action figures. The cost per Ninja Turtle is $7, while each Star Wars figure costs $9. If we let S represent the number of Star Wars figures bought, then the number of Ninja Turtles becomes S + 8. The cost for S Star Wars figures is $9S. Similarly, for (S + 8) Ninja Turtles, the total cost is $(7S + 56). Therefore, the overall Total Cost is represented by the sum of the costs for both types of figures, leading to the Total Cost being expressed as C = 9S + (7S + 56).
4 0
1 month ago
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