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Nesterboy [21]
3 years ago
10

Need help plz help me

Mathematics
2 answers:
Mrrafil [7]3 years ago
6 0

Answer:

x = - 6, x = - 5

Step-by-step explanation:

Given

x² + 11x + 30 = 0

Consider the factors of the constant term ( + 30) which sum to give the coefficient of the x- term.

The factors are + 6 and + 5, since

6 × 5 = + 30 and 6 + 5 = + 11, hence

(x + 6)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x + 5 = 0 ⇒ x = - 5

IgorC [24]3 years ago
4 0

Step-by-step explanation:

how could we get 30x^2?

6x × 5x

<em>so</em><em>,</em>

x^2 +6x+5x+30=0

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

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

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

x=-6 or x=-5

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3. Ruby and Sapphire love strawberries. Ruby starts out with 10 strawberries and finds 3 more
Svetllana [295]

Answer:

4 minutes

Step-by-step explanation:

Let the time taken for them to have the same number of strawberries be x minutes.

<u>Initially</u>

Ruby: 10 strawberries

Sapphire: 30 strawberries

<u>After x minutes</u>

Ruby: (10 +3x) strawberries

Sapphire: (30 -2x) strawberries

Since we let x minutes be the amount of time that has passed when they have the same amount of strawberries,

10 +3x= 30 -2x

Bring all x terms to one side, constant to the other:

3x +2x= 30 -10

Simplify:

5x= 20

Divide both sides by 5:

x= 20 ÷5

x= 4

∴ It will take 4 minutes.

3 0
2 years ago
Please can anyone send a question in law of indices I really need it now​
DaniilM [7]

Answer:

I think this is a pretty good question of law of indices

Step-by-step explanation:

Given that

(9^p)(27^q)=3^n\\

a) express n in terms of p and q ,

b) hence if p = 1 and q = 2 find the value of n

Solution to part a)

(9^p)(27^q)=3^n\\\\

Simplify the equation and how do we do that? As we can see that 9 can also be written as 3^2 and 27 can be written as 3^3 we can rewrite the following equation like this,

(3^2)^p(3^3)^q=3^n\\

now we multiply p with 2 and

multiply q with 3 respectively,

(3^{2p})(3^{3q})=3^n\\

now since the bases are same and are multiplying the exponents will add themselves like this, in this equation the number 3 is the base

3^{2p+3q}=3^n\\

now since the bases on the left hand side and on the right hand side are equal the exponents will also be equal so now,

2p+3q=n\\

hence n is expressed in terms of p and q

Solution to part b)

if p = 1 and q = 2 we plug in these values in the above equation we found for n

n = 2p + 3q

n = 2(1) + 3(2)

n = 2 + 6

n = 7

6 0
2 years ago
A car moves a distance of 100m in 12 seconds. what is the average speed in km/h​
Maksim231197 [3]

Answer:

30km/h.

Step-by-step explanation:

100m/12s = 0.1km/12s

There are 3600 seconds in an hour.

0.1km/12s = 30km/h.

5 0
3 years ago
PLEASE HELP!! WILL GIVE BRAINLIEST!!
Komok [63]

Answer:

The number is 3.

Step-by-step explanation:

5x3=15+12=27

9x3=27

Hope this helps

5 0
2 years ago
If f(x) = 3x^2 - 4 and g(x) = x+2, find (f - g)(x).
galina1969 [7]

Answer:

3x^2-x-6

Step-by-step explanation:

f(x) = 3x^2 - 4

g(x) = x+2

(f - g)(x)= 3x^2 - 4-( x+2)

Distribute the minus sign

(f - g)(x)= 3x^2 - 4- x-2

Combine like terms

            = 3x^2-x-6

8 0
3 years ago
Read 2 more answers
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