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Olin [163]
3 years ago
11

Jack drove 150 miles in 3 hours. at that rate, how long will it taketo drive 400 miles

Mathematics
2 answers:
Tema [17]3 years ago
5 0
150mi/3hrs = 50mph
400/50 = 8 hours
Check:
8hours * 50mi = 400 miles traveled

Ronch [10]3 years ago
4 0
150 ÷ 3 = 50 50 miles per hours 400 ÷ 50 = 8 8 hours to reach 400 miles
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Lin and Han's families provide money for their school lunch
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Answer:

1) after 4 weeks, Lin has more with $65

2) after 3 weeks they both have same amount

Step-by-step explanation:

let 'w' = number of weeks

1) <u>equation for Han</u>:  y = 100 - 15w

y = 100 - 15(4)

y = 100 - 60

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3 years ago
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faltersainse [42]
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2 years ago
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−
Neko [114]

Answer:

P(x) = x^3 - 10x^2+ 34x-40

Step-by-step explanation:

Given

p =1 -- Leading coefficient

Zeros: 4\ and\ 3  - i

Required

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Represent the zeros with a and b

Such that

a = 4

b = 3 - i

The polynomial is:

P(x) = p * (x - a) * (x - b)

P(x) = 1 * (x - 4) * (x - (3 - i))

However, to solve further: We need to symmetrise over 3-i  and its conjugate

P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))

P(x) =  (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\

To define a suitable function, the expression becomes

P(x) =  (x - 4) * ((x - 3)^2+1)

P(x) =  (x - 4) * ((x - 3)(x - 3)+1)

P(x) =  (x - 4) * (x^2 - 6x + 9+1)

P(x) =  (x - 4) * (x^2 - 6x +10)

Open bracket

P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40

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P(x) = x^3 - 10x^2+ 34x-40

5 0
3 years ago
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