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3 years ago

The sum of two integers equals twelve, while their product equals thirty-five. Which two numbers are they?

Mathematics

1 answer:

My name is Ann [436]3 years ago

5 0

Answer: 5 and 7

Step-by-step explanation:

Given

Sum of the integers is 12

Product of the integers is 35

Suppose the integers are $x$ and $y$

$\Rightarrow x+y=12\\\\\Rightarrow y=12-x\\\Rightarrow xy=35\\\text{Substitute y}\\\Rightarrow x(12-x)=35\\\Rightarrow 12x-x^2=35\\\Rightarrow x^2-12x+35=0\\\Rightarrow x^2-7x-5x+35=0\\\Rightarrow (x-7)(x-5)=0\\\Rightarrow x=5\ or\ 7$

$\therefore \text{y can be }7\ or\ 5$

Hence, the numbers are 5 and 7.

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A clothing store has just advertised at a bargain price, that a customer tries on a t-shirt is 0.40. a new range of t-shirts. Th

AlexFokin [52]

<h2>Answer:</h2>

The probability that the customer did not try on the t- shirt is:

0.2432

<h2>Step-by-step explanation:</h2>

It is given that the probability that a customer tries a t-shirt is: 0.40

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If he will not try

then the probability of buying a t-shirt is: 0.15

This means that the total probability of Buying a t-shirt is:

0.40×0.70+0.60×0.15

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3 years ago

Each year three space shuttles are launched, two in June and one in October. If each shuttle is known to occur without a delay i

Veronika [31]

Answer:

0.271 or 27.10%

Step-by-step explanation:

If the present month is January, in 16 months there will be three space shuttles launched (two in June and one in October).

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$P(delay>0) = 1 - P(delay=0)\\P(delay>0) = 1 -0.90^3\\P(delay>0) = 0.271$

The probability that at least one of the launches in the next 16 months will be delayed is 0.271 or 27.10%.

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4 years ago

Help me please, I’m still struggling with y intercepts, rates of change, etc.

BaLLatris [955]

Answer:

(a) The y-intercepts of both functions are the same, 0. However, the rate of change for the school library is 0.25, while the rate of change for the city library is 0.35.

(b) The 3-day late fee at the school library is $0.75 and the 3-day late fee at the city library is $1.05.

Step-by-step explanation:

The functions represented in the question are linear, which means that they have a consistent rate of change over time. In this example, it means that for every day, the late fee charged by each library is the same. At the school library, the rate of change is 0.25, which means for each day the book is late, the school charges a fee of $0.25. At the city library, the table shows that for each day the book is late, the city charges a fee of $0.35. So, the city library is more expensive. Y-intercept refers to the initial cost, or how much do the libraries charge if the book is not late, or turned in on time. In this case, neither library charges a fee for books turned in on time, so both would have a y-intercept of 0.

5 0

4 years ago

Need help with this please?

Ivahew [28]

hope this hwelps! (OwO)