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skad [1K]
3 years ago
5

What non-zero rational number must be placed in the square so that the simplified product of these two binomials is a binomial:

(7t-10)(5t+Box )? Express your answer as a mixed number.
Mathematics
2 answers:
aleksandrvk [35]3 years ago
7 0

The product would expand to

(7t-10)(5t+x)=35t^2+7tx-50t-10x=35t^2+(7x-50)t-10x

This is a trinomial, and the only way to make it a binomial is to cancel out a coefficient using our variable x.

So, we can cancel either the linear term or the constant term.

In the first case, we require

7x-50=0 \iff 7x=50 \iff x=\dfrac{50}{7}=\dfrac{49}{7}+\dfrac{1}{7}=7\dfrac{1}{7}

In the second case, we require

-10x=0\iff 10x=0 \iff x=0

But x must be a non-zero rational number, so this solution is not feasible.

dimaraw [331]3 years ago
3 0

Answer:

7 1/7.

Step-by-step explanation:

The middle 2 numbers in the expansion will be cancelled out  if one of them is + 50 t so the required  rational number is  50/7:

(7t - 10)(5t + 50/7) = 35t^2 - 50t + 350/7 t - 500/7)

=  35t^2 - 50t + 50t - 500/7)

= 35t^2 - 500/7)

So  50 / 7 = 7 1/7 (answer).

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Pls help!!!! Rewrite the expression. <br> 4+4+5x2x5+(3+3+3)x6x6+2+2
Paha777 [63]

Answer:

386

Step-by-step explanation:

4+4+5x2x5+(3+3+3)x6x6+2+2

=4+4+5x2x5+9x6x6+2+2

=4+4+50+324+2+2

=386

8 0
3 years ago
Simplify 3m-2(m+1) and -3(3x+1)-(6x-3)
Maslowich
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3 0
3 years ago
One person is selected at random from a class of 20 males and 13 females. Find the odds against selecting a male and a female
spin [16.1K]

Answer:

Odds for male= 1.538

Odds for female =  0.65

Step-by-step explanation:

The question is asking for odds, not a probability. A probability shows how much the chance for the event to happen, so it can be expressed as a percentage. Odds show how the event more likely to happen compared to the chance it did not happen. If an event has a 90% probability, the odds will be 90:10= 9

In this case, the odds of selecting a male will be:  

number of male : number of female= 20:13 = 1.538

The odds of selecting a female will be

number of female : number of male = 13/20 = 0.65

7 0
3 years ago
What is it called when a columns filled with pairs of numbers that have the same ratio?
Furkat [3]
That is a ratio table.
5 0
3 years ago
Read 2 more answers
HELP !!! will give brainliest. must show work so i know what to do next time :)))
WINSTONCH [101]

Answer:

number 2

Step-by-step explanation:

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