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2 years ago

Solve x²-x-30=0 using the factorisation method.

Mathematics

1 answer:

Furkat [3]2 years ago

8 0

Answer:

Step-by-step explanation:

x²-x-30=0

x² - 6x + 5x - 30 = 0

(x² - 6x) + (5x - 30) = 0

x(x - 6) + 5(x - 6) = 0

(x + 5)(x - 6) = 0

x + 5 = 0 or x - 6 = 0

x = -5 or x = 6

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LetF(x, y) be the statement "xcan fooly," where the domain consists of all people ofthe world. Use quantifiers to express each o

Sindrei [870]

Answer:

See steps below

Step-by-step explanation:

Let F(x, y) and W be

F(x,y) = “x can fool y”

W the set of all the people in the world

a) Everybody can fool Fred.

$\forall x \in W,F(x, Fred)$

b) Evelyn can fool everybody.

$\forall y\in W, F(Evelyn, y)$

c) Everybody can fool somebody.

$\forall x \in W,\exists y :F(x,y)$

d) There is no one who can fool everybody.

$\nexists x \in W: \forall y ,F(x,y)$

e) No one can fool both Fred and Jennifer.

$\nexists x \in W: F(x,Fred)\wedge F(x,Jennifer)$

f) Nancy can fool exactly two people.

$\exists x,y \in W:\forall z\neq x,z\neq y, F(Nancy,x)\wedge F(Nancy,y)\wedge (\neg F(Nancy,z))$

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2 years ago

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Marrrta [24]

<h2>It is an obtuse angle.</h2>

Step-by-step explanation:

Obtuse: An obtuse angle is an angle more than $90^\circ$ but less than $180^\circ$ .

Example : $110^\circ$ , $135^\circ$ etc.

Acute : An acute angle is an angle less than $90^\circ$

Example : $30^\circ$ , $45^\circ$ etc.

Straight : A straight angle is $180^\circ$ .

Right: A right angle is $90^\circ$ .

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2 years ago

Plz help 10 points ;-;

Oksana_A [137]

Answer:

See explanation.

Step-by-step explanation:

Coordinates of point P is (2.5, 0).

Coordinates of point T are (-1.5, -1).

Coordinates of point R are (0.5, -2.5).

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2 years ago

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Solve for x. 5+(x-2)=-8

Arte-miy333 [17]

Answer:

x = -11

Step-by-step explanation:

First, get rid of parentheses:

5 + x - 2 = -8

Then, simplify:

3 + x = -8

Finally, subtract 3 on both sides:

x = -11

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2 years ago

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Joanna set a goal to drink more water daily. The number of ounces of water she drank each of the last seven days is shown below.

hammer [34]

Answer:

The median amount of water is higher when the eighth day's amount is included in the data.

Explanation:

Given the ounces of water drank is 60, 58, 64, 64, 68, 50, 57

Arranging in ascending order: 50, 57, 58, 60, 64, 64, 68

Calculating the median of the above data

Median (when n is odd) = $\left(\frac{n+1}{2}\right)^{t h} \text { term }$

where n =7

Median = 4th term = 60

When the eight day is added,

Series will be: 50, 57, 58, 60, 64, 64, 68, 82

Median (when n is even) = $\frac{\left(\frac{n}{2}\right)^{t h} t e r m+\left(\frac{\pi}{2}+1\right)^{t h} t e r m}{2}$

Median = $\frac{60+64}{2}=62$

So, here we can say that median has increased after adding 82 in the data

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2 years ago

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Solve x²-x-30=0 using the factorisation method.​

Solve x²-x-30=0 using the factorisation method.