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mafiozo [28]
3 years ago
5

Someone help me ASAP!!

Mathematics
2 answers:
asambeis [7]3 years ago
5 0

Answer:

£85.87

Step-by-step explanation:

580/33.5

= 17.3134328358 gallons

17.3134328358 × 4.55

= 78.7761194029 litres

Cost:

78.7761194029 × 1.09

£85.8659701492

zimovet [89]3 years ago
3 0
Let the cost of petrol of the car be £ x
£x=580mile
33.5mile=1gallon
1gallon=4.55litre
1litre=£1.09

By using chain rule,
X x33.5x1x1=580x1x4.55x1.09
Or,x=85.86
So x=£85.86
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James sees a truck at the dealership for $28,000
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Answer:

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What are the solutions to the following system of equations?<br><br> x − y = 6<br> y = x2 −6
anastassius [24]

The solutions to the given system of equations is (0, -6) and (1, -5)  

<h3>Simultaneous equations</h3>

From the question, we are to determine the solutions to the given system of equations

The equations are

x − y = 6 --------- (1)

y = x² −6 ---------- (2)

From equation (1)

x - y = 6

∴ x = 6 + y ------- (3)

Substitute into equation (2)

y = x² −6

y = (6+y)² −6

y = (6+y)(6+y) -6

y = 36 + 6y + 6y +y² -6

y = 36 + 12y + y² - 6

Simplifying

y² + 12y - y + 30 = 0

y² + 11y + 30 = 0

Solve quadratically

y² + 11y + 30 = 0

y² + 6y + 5y + 30 = 0

y(y +6) +5 (y +6) = 0

(y + 5)(y + 6) = 0

y + 5 = 0 OR y + 6 = 0

y = -5 OR y = -6

Substitute the values of y into equation (3)

x = 6 + y

When y = -5

x = 6 + (-5)

x = 6 -5

x = 1

When y = -6

x = 6 + (-6)

x = 6 -6

x = 0

∴ When x = 0, y = -6 and when x = 1, y = -5

Hence, the solutions to the given system of equations is (0, -6) and (1, -5)  

Learn more on Solving simultaneous equations here: brainly.com/question/16863577

#SPJ!

7 0
2 years ago
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