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Nesterboy [21]
4 years ago
10

Need help plz help me

Mathematics
2 answers:
Mrrafil [7]4 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]4 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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Create a question with this scenario you could ask that could be answered only by graphing or using logarithm.
Vesnalui [34]

Answer:

After how many years is the fish population 100?

x=3.97 years

Step-by-step explanation:

The fish population increases by a factor of 1.5 each year. We have the equation that represents this situation

f (x) = 20 (1.5) ^ x

Where x represents the number of years elapsed f(x) represents the amount of fish.

Given this situation, the following question could be posed

After how many years is the fish population 100?

So we do f (x) = 100 and solve for the variable x

100 = 20 (1.5) ^ x\\\\\frac{100}{20} = (1.5)^x\\\\ 5= (1.5)^x\\\\log_{1.5}(5) = log_{1.5}(1.5)^x\\\\log_{1.5}(5) = x\\\\x =log_{1.5}(5)\\\\x=3.97\ years

Observe the solution in the attached graph

8 0
3 years ago
Q = x^3 â xGiven that x is a positive integer such that x ⥠75, which of the following is the remainder when Q is divided by 6?
geniusboy [140]

Answer:

A) 0

Step-by-step explanation:

Given that

Q=x^{3}-x\\\\x(x^{2}-1)\\\\x(x+1)(x-1)

Divisor = 6 = 3*2

\frac{Q}{D}=\frac{(x)(x+1)(x-1)}{6}\\\\\frac{Q}{D}=\frac{(x)(x+1)(x-1)}{2 \times 3}\\

As it can be see that x ≥ 75 and Q is product of three consecutive terms (x-1), x, (x+1) which is always completely divisible by 2, 3 and 6. So remainder is zero

4 0
3 years ago
A gallon or unleaded gasoline weights about 6 pounds about how many ounces does 1 quart of unleaded gasoline weight hint= 1/4 ga
alexira [117]

i think the answer is 1/4 because it good

3 0
3 years ago
Read 2 more answers
A tennis racket normally costs ​$60. The tennis racket is on sale for 30​% off. What is the sale price of the tennis​ racket?
hram777 [196]
The answer would be 42 and here’s how:)

so to start it would be written as this.
___=30% x 60

meaning what equals 30% of 60.

= means is
x means of
___ means what

•so for example if you have this question written out, it would be - what is 30% of 60, and that would turn into the first equation by a substitution method.
• then you have to put the 30% as a decimal. (0.3)
now the equation looks like this.
___=0.3 x 60
• then you would turn it around so it’s 0.3 x 60=

now the answer to that equation is 18.
• so now you have to take the original 60, and subtract the answer amount of 18.

that would look like this. 60-18=___
the answer to that is 42! and there’s your answer! hope it helped!


8 0
3 years ago
40 divided by 7 =? help help help
Ilya [14]

Answer:

The answer is 5.71428571

Step-by-step explanation:

3 0
3 years ago
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