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Burka [1]
3 years ago
11

Answer ,how to do it.

Mathematics
1 answer:
guapka [62]3 years ago
8 0

Answer:

<u>The system has two solutions:</u>

<u>x₁ = 5  ⇒ y₁ = -10</u>

<u>x₂ = -2 ⇒ y₂ = 11</u>

Step-by-step explanation:

Let's solve the system of equations, this way:

y = -3x + 5

y = x ² - 6x - 5

Replacing y in the 2nd equation:

y = x ² - 6x - 5

-3x + 5 = x ² - 6x - 5

x ² - 3x - 10 = 0

Solving for x, using the quadratic formula:

(3 +/- √(9 -4 * 1 * -10))/2 * 1

(3 +/- √9 + 40)/2

(3 +/- √49)/2

(3 +/- 7)/2

x₁ = 10/2 = 5

x₂ = -4/2 = -2

x₁ = 5  ⇒ y₁ = -10

x₂ = -2 ⇒ y₂ = 11

<u>As we can see the system has two different solutions</u>

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  All potential solutions are covered by theoretical domains and ranges. The solution sets are constrained by actual domains and ranges to fit inside predetermined constraints. Make a function equation out of a word problem that specifies the domain and range of application. All potential solutions are covered by theoretical domains and ranges.

<h3>Domain and range: what are they?</h3>

C = 9 + 7.34

One room costs = $7.34.

Charges of n room = Charges of one room  × Number of Rooms

Charges of n room = 7.34 n

Reservation Room =  $ 9

Total Cost (c) = Reservation Room + Charges of n room

C = 9 + 7.34

They only clean a maximum of 15 rooms.

Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

When n = 1 , C = 9 + 7.34 ×1 = 16.34

When n = 2 , C = 9 + 7.34 ×2 =23.68

When n = 3 , C = 9 + 7.34 ×3 =31.02

When n = 4, C = 9 + 7.34 ×4 =38.36

When n = 5 , C = 9 + 7.34 ×5 = 45.7

When n = 6, C = 9 + 7.34 × 6 = 53.04

When n = 7 , C = 9 + 7.34 ×7 = 60.38

When n = 8 , C = 9 + 7.34 ×8 =67.72

When n = 9 , C = 9 + 7.34 × 9 =75.06

When n = 10, C = 9 + 7.34 ×10 = 82.4

When n = 1 1, C = 9 + 7.34 ×1 1 = 89.74

When n = 12 , C = 9 + 7.34 ×1 2 = 97.08

When n = 13 , C = 9 + 7.34 ×1 3 = 104.42

When n = 1 4, C = 9 + 7.34 ×14 = 111.76

When n = 1 5, C = 9 + 7.34 ×15 = 119.1

C = 9 + 7.34

Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

Range = { 16.34,23.68,31.02,38.36,45.7, 53.04,60.38,67.72,75.06,82.4,89.74,97.08,104.42,111.76,119.1}

To Learn more About Domain and range, Refer:

brainly.com/question/2264373

#SPJ13

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