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2 years ago

Solve the following equation by combining like terms: x+x+2+3x-6= 31 X=

Mathematics

1 answer:

Vesnalui [34]2 years ago

4 0

Answer:

X= 7

Step-by-step explanation:

x+x+2+3x-6=31 Combine x's

2x+2+3x-6=31 Continue to combine x's

5x+2-6=31 Combine whole numbers

5x-4=31 Add 4 to both sides

5x=35 Divide by 5

x=7

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Suppose the bacteria population in a specimen increases at a rate proportional to the population at each moment. There were 100

NNADVOKAT [17]

9514 1404 393

Answer:

about 3,160,000,000

Step-by-step explanation:

"Increases at a rate proportional to population" means the growth is exponential. It can be modeled by the equation ...

p = ab^t

We can find 'a' and 'b' using the given data points.

100 = ab^(-4) . . . . . . . population 4 days ago

100,000 = ab^(-2) . . . population 2 days ago

Dividing the second equation by the first, we find ...

1000 = b^2

b = 1000^(1/2)

Substituting for b in the first equation, we have ...

100 = a(1000^(1/2))^(-4) = a(1000^-2)

100,000,000 = a

Then the population model is ...

p = 100,000,000×1000^(t/2)

Tomorrow (t=1), the population will be ...

p = 100,000,000 × 1000^(1/2) ≈ 31.6 × 100,000,000

p ≈ 3,160,000,000 . . . . . bacteria by tomorrow

_____

<em>Additional comment</em>

We could write this as ...

p = 10^(8+1.5t)

Then for t=1, this is p = 10^(8+1.5) = 10^0.5 × 10^9 = 3.16×10^9

7 0

2 years ago

A desk is on sale for $135.20, which is 26% of the regular price. What is the regular price?

Nady [450]

Answer:

420$

Step-by-step explanation:

8 0

3 years ago

Find the composite area of the polygon

KIM [24]

Answer:

Obtaining the area or perimeter is the easiest and basic skills in geometry, however, when combining several plane figures, composite shapes are formed, which can include: squares, circles, triangles, rectangles, trapezoids, etc.

To obtain the area or perimeter of this type of figures should analyze the figure and follow these steps:

STEP I

♦ Must identify which figures form the total.

STEP II

♦ Analyze if there are parts of the figures that you will not need, for example the sides that join two or more figures.

STEP III

♦ Obtain separately the areas and perimeters of each figure

STEP IV

♦Add the obtained in each figure.

Hope it helps you!

Step-by-step explanation:

5 0

2 years ago

Divide f(x)=x^(4)+3x^(3)+2x^(2)-18x-30;d(x)=x^(2)+3x+5

Damm [24]

Answer:

i tried but my calculator said error...im sorry

Step-by-step explanation:

5 0

2 years ago

A) 2x-5y=10

r-ruslan [8.4K]

Answer:

Step-by-step explanation:So to find it you need to eliminate either x or y. 2x-5y=10 over 4x-10y=20. In order to get y to eliminate you need one equation to have a positive 10y and a negetive 10y. So you multiply both sides of the first equation by negetive 2 so it is now, -4x+10y=-20. Notice how all the numbers in both equations are opposite this gives us ims infinitaly many sollutions. So it is not A. Or b it will do the same thing. The answer is either D or C hope this helps

5 0

3 years ago