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olga55 [171]
3 years ago
13

One of the roots of the equation 5x2−36x+t=0 is five times as big as the other root. Find the value of t.

Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0

Answer:

  t = 36

Step-by-step explanation:

If one of the roots is "a", the equation can be factored as ...

  (5x -a)(x -a) = 0

  5x^2 -6ax +a^2 = 0

Comparing terms to the given equation, we see that ...

  -6ax = -36x

  a = 6 . . . . . . . . divide by -6

Then ...

  a^2 = t

  36 = t . . . . . . . substitute 6 for a

_____

The roots are 6 and 6/5.

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Give one example of when you would use the friendly numbers strategy to subtract. Explain why.
ziro4ka [17]

In the <span>addition process</span> this usually involves:

<span><span>rounding numbers up to the nearest multiple of 10 or 100 </span>subtracting the extras that were added at the end.</span>

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How many points on the graph represent a relative minimum? please help
Tasya [4]
<h3>Answer:  1</h3>

Point B is the only relative minimum here.

===========================================================

Explanation:

A relative minimum is a valley point, or lowest point, in a given neighborhood. Points to the left and right of the valley point must be larger than the relative min (or else you'd have some other lower point to negate its relative min-ness).

Point B is the only point that fits the description mentioned in the first paragraph. For a certain neighborhood, B is the lowest valley point so that's why we have a relative min here.

There's only 1 such valley point in this graph.

--------------

Side notes:

  • Points A and D are relative maximums since they are the highest point in their respective regions. They represent the highest peaks of their corresponding mountains.
  • Points A, C and E are x intercepts or roots. This is where the graph either touches the x axis or crosses the x axis.
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8 0
2 years ago
A train traveled 63.75 miles at a rate of 85 miles per hour. Which equation can be used to find h, the number of hours it took t
sashaice [31]

Answer:  63.75 = 85h

Solving gives 0.75 hours.

Step-by-step explanation:

we now that speed = distance / time

therefore time will be Distance / speed

Given that distance = 63.75miles

Speed= 6=85miles per hour

Time(h) = 63.75miles/ 85.---- equation 1

But from the options given, the equation that can also  be used to find number of hours is

63.75 = 85h

such that making h subject of formula  still give us

h= 63.75/85  as in equation 1 above

solving gives that Time ( h) = 0.75 hours .

8 0
2 years ago
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