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Ann [662]
4 years ago
5

Factorise 14x^2 - x - 3

Mathematics
2 answers:
Makovka662 [10]4 years ago
7 0
(7x+3)(2x-1)
you have to find the multiples of -3 that when added will give the middle term

nirvana33 [79]4 years ago
6 0
14x² - x - 3 = 0
14x² - 7x + 6x - 3 = 0
-7x(-2x + 1) -3(-2x + 1) = 0

(-7x-3) & (-2x+1) = 0

Roots: -7x - 3 = 0
-7x = 3
x = -3/7

OR -2x + 1 = 0
-2x = -1
x = 1/2

In short, Your Roots would be 1/2 and -3/7

Hope this helps!
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10. A bag contains 4 red balls, 6 green balls and some white balls. If the probability of not drawing a white ball in one draw b
klasskru [66]

Answer:

No of white balls = 5

Step-by-step explanation:

Given that,

Total no of red balls = 4

Total no of green balls = 6

The probability of not drawing a white ball in one draw be, P=\dfrac{2}{3}

We need to find the number of white balls. Let there are x balls.

The probability of drawing a white ball = 1 - the probability of not drawing a white ball

= 1 -2/3

= 1/3

Using the formula for solving probability of having a white ball.

P=\dfrac{\text{favorable outcome}}{\text{total no of outcomes}}\\\\\dfrac{1}{3}=\dfrac{x}{4+6+x}\\\\\dfrac{1}{3}=\dfrac{x}{10+x}\\\\10+x=3x\\\\10=2x\\\\x=5

Hence, there are 5 white balls.

3 0
3 years ago
At what point do the lines y= 2x + 3 and y = 5x - 9 intersect? ​
QveST [7]

Answer:

(4,11)

Step-by-step explanation:

y=2x+3

y=5x-9

the first equation is equal to the second equation so

2x+3=5x-9

put like terms together

2x-5x= -9-3

-3x= -12

divide both sides by -3

.•.x=4

now, use the value of x to find the value of y like this:

y=2x+3 (x=4)

y=2(4)+3

y=8+3

y=11

therefore, the two lines intersect at the point (4,11)

4 0
3 years ago
How many soulotion does y=4x−7 y=x−3 ​have
dolphi86 [110]
That equation has one solution
8 0
3 years ago
Use the side-splitter theorem to solve for x in the triangle below.<br> 21<br> 42
alexandr1967 [171]

x = 8

Solution:

Side-splitter theorem:

<em>If a line is parallel to one side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally.</em>

$\Rightarrow\frac{4}{21} =\frac{x}{42}

Do cross multiplication, we get

⇒ 4 × 42 = 21x

Divide by 21 on both sides, we get

⇒ 4 × 2 = x

⇒ 8 = x

Switch the sides.

⇒ x = 8

The value of x is 8.

8 0
3 years ago
Find the surface area of the cube shown.
Alja [10]

A=6a^2

A=6(5.5)^2

A=181.5

Hopefully I answered correctly.

8 0
4 years ago
Read 2 more answers
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