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4 years ago

Factor. 2y^2 - 7y + 6

Mathematics

1 answer:

yuradex [85]4 years ago

3 0

2y^2-7y+6= 2y^2-4y-3y+6
=2y(y-2)-3(y-2)
=(2y-3)(y-2)
Therefore
y=3/2 or y=2

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Help please, I am not really good with this subject..

VLD [36.1K]

F(x)=(x-2)^2 +66

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7 0

3 years ago

The diagram shows a 7cm x 6cm rectangle-based pyramid all the diagonal sides - TA TB TC and TD are length 10cm M is the midpoint

dedylja [7]

Given:

The base is a rectangle of dimension 7 cm×6 cm.

The length of each diagonal side = 10 cm

To find the height of MT.

Formula

By Pythagoras theorem we get,

$h^{2} = l^{2} + b^{2}$

where, h be the hypotenuse

b be the base and

l be the height.

Now, in this diagram,

The perpendicular distance of M from BC = 3 cm

Slant height = 10 cm

Taking, b = 3 and h = 10 we get,

$10^{2} = l^{2} + 3^{2}$

or, $l^{2} = 10^2-3^2$

or, $l = \sqrt{100-9}$

or, $l = 9.5$

Hence,

The height of MT is 9.5 cm.

4 0

3 years ago

Assume that the last two digits on a car number plate are equally likely to be any of the one hundred outcomes {00, 01, 02, ....

gizmo_the_mogwai [7]

Answer:

1) Probability that Peter wins = PeW = 48.53%, while the probability that Paul wins = PaW= 1-PeW = 51.47% (Peter si favoured)

2) The bet will be pretty fair at n=16 or 17

Step-by-step explanation:

Since each car number plate is independent of the others, then the random variable X=number of cars that have the same last two digits follows a binomial distribution. Thus the probability distribution is

P(X) = n!/((n-x)!*x!)*p^n*(1-p)^(n-x)

where

p= probability that a car has the same last 2 digits = {00, 11, ...,99}/{00, 01, 02, ........ 98, 99} = 10/100 = 1/10

n= number of cars = 16

Then the probability that Peter wins PeW is:

PeW=P(X≥2) = 1- P(X<2) = 1- F(X=2) = 1 - 0.5147 = 0.4853 = 48.53%

therefore

Probability that Peter wins = PeW = 48.53%

Probability that Paul wins = PaW= 1-PeW = 51.47% (Peter si favoured)

for n=17 , PeW = 0.518 , PaW= 0.482

for n=15 , PeW = 0.450 , PaW= 0.548

then the bet will be pretty fair at n=16 or 17

6 0

3 years ago

Please help I have no clue if you can please do step by step explaining

Dominik [7]

Answer:

36cm^2

Step-by-step explanation:

Break it apart into rectangles/squares where you can figure out what the length of at least two sides are for each.

Then multiply and get the area of the smaller area.

Then add the areas up.

You're basically just breaking it down into smaller shapes, then adding the different parts back together.

7 0

3 years ago

How many terms will the given expression have once it is simplified?

8_murik_8 [283]

Answer: C. 3

Step-by-step explanation:

use the distributive property:

8x^2 - 8 + 3x^2 + 6x

then simplify:

11x^2 - 8 + 6x

8 0

4 years ago

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