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Len [333]
2 years ago
8

(15pts) What are the ordered pairs of the solutions for this system of equations?

Mathematics
1 answer:
VashaNatasha [74]2 years ago
7 0

Answer:

  • (2, 3)
  • (-2, 11)

Step-by-step explanation:

Equating the system :

  • x² - 2x + 3 = -2x + 7
  • x² - 2x + 2x + 3 - 7 = 0
  • x² - 4 = 0
  • (x + 2)(x - 2) = 0

When x = 2,

  • f(2) = -2(2) + 7
  • f(2) = 7 - 4
  • f(2) = 3
  • Ordered pair is (2, 3)

When x = -2,

  • f(-2) = -2(-2) + 7
  • f(-2) = 4 + 7
  • f(-2) = 11
  • Ordered pair is (-2, 11)
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kodGreya [7K]
For each answer, we can plug in the given points:

A) is technically the same as B), but B) expresses correct function notation.

B) 5 = 5(1) ⇒ 5 = 5
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     B) is incorrect.

C) I'm not sure what you mean y=5^5=x, but I'm going to use y=5^{x} because it's close to what you wrote:
5=5^{1} =\ \textgreater \ 5=5 \\ 25=5^{2} =\ \textgreater \ 25=25 \\ 125=5^{3} =\ \textgreater \ 125 = 125 \\ 625=5^{4}=\ \textgreater \ 625=625 \\ 3125=5^{5}=\ \textgreater \ 3125=3125
The function y=5^{x} works for the points given.

D) 5 = 1 + 5 ⇒ 5 ≠ 6
     D) is not correct.

Please check your functions; I'm not sure that C) is a function.  In any case, the answer is C) because all the other answers are wrong.
6 0
3 years ago
What is the distance between the points?! round to the nearest tenth i need to show work
Contact [7]

Answer:

8.6

Step-by-step explanation:

To find the distance between two points we use the formula posted below

All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with

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3 years ago
If you had 3.5 gallons of gas, how far could you travel?
Nostrana [21]

Answer:

It would depend on how many miles per gallon your car gets

Step-by-step explanation:

As a general rule, most cars have about 2.5 gallons left in the tank when the gas light comes on. So depending on how many miles you get per gallon, you can probably go anywhere between 30-60 miles.

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3 years ago
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zimovet [89]
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2 years ago
The diagram shows a prism.
telo118 [61]

Answer:

Total surface area of the prism = 920 cm²

Step-by-step explanation:

Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.

Area of one triangular side = \frac{1}{2}(\text{Base})(\text{Height})

Area of 2 similar sides = Base × Height

                                     = 8 × 15

                                     = 120 cm²

Area of rectangular side with dimensions 17cm × 20cm

Area of the side = 17 × 20 = 340 cm²

Area of the second rectangular side with dimensions 8cm × 20cm

Area of the side = 8 × 20 = 160 cm²

Area of third rectangular side with dimensions 20cm × 15cm

Area of the side = 20 × 15 = 300 cm²

Total surface area of the given triangular prism = 120 + 340 + 160 + 300

                                                                               = 920 cm²

6 0
3 years ago
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