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LenKa [72]
2 years ago
12

I NEED HELP PLEASE!!!

Mathematics
1 answer:
miss Akunina [59]2 years ago
3 0

Answer:

B

Step-by-step explanation:

cosine function, cos(ax) gets it period reduced by a factor of a, period is 2*pi/(4)=pi/2

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The population of bacteria doubles every 6 hours. By how much will it grow in three days. Write the equation
ch4aika [34]

Answer:

Step-by-step explanation:

let x be the population

so we have ,

2x= 6h

?= 3 days or 3×24h

by cross multiplication we have

2x× 72h= 6h×?

?= 2x×72/6 = 24x

So, in three days the bacteria will b 24 times current population.

8 0
3 years ago
A set of five integers contains 1 , 3 , and 22 . what other two integers must be included in this set so that the mean of all fi
d1i1m1o1n [39]
Total number of integers = 5

median
= (5+1)/2 th observation
= 3 rd observation

therefore the 3rd number = 13

now let the other number be x

total sum = 1+3+13+x+22 = 39+x

ATQ

(39+x)/5 = 16

39+x = 80

x = 41

the numbers are -

1,3,13,22,41
8 0
3 years ago
Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t
gavmur [86]

Answer:

x=-7

Step-by-step explanation:

We have been given an equation y=2x^2+28x+96. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

2x^2+28x+96=0

Dividing both sides by 2:

x^2+14x+48=0

Splitting the middle term:

x^2+6x+8x+48=0

(x^2+6x)+(8x+48)=0

x(x+6)+8(x+6)=0

(x+8)(x+6)=0

Using zero product property:

(x+8)=0\text{ (or) }(x+6)=0

x+8=0\text{ (or) }x+6=0

x=-8\text{ (or) }x=-6

Therefore, the zeros of the given equation are x=-8\text{ (or) }x=-6.

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

\frac{-8+(-6)}{2}=\frac{-14}{2}=-7

Therefore, the equation x=-7 represents the line of symmetry of the given parabola.

4 0
3 years ago
Is x=-1 a solution of: -4-4x<-x-2
vodka [1.7K]

Answer:

yes it's a solution. I think. I don't really know this

5 0
3 years ago
Martin thinks of two numbers. He says, "The Highest Common Factor (HCF) of my two numbers is 6 The Lowest Common Multiple (LCM)
sergiy2304 [10]

Answer:

30 and 42

Hope this helps

3 0
3 years ago
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