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Aleks04 [339]
4 years ago
14

Two different plants grow each year at different rates, which are represented by the functions f(x) = 4x and g(x) = 5x + 2. What

is
the first year the f(x) height is greater than the g(x) height?

A) year 0

B) year 1

C) Year 2

D) year 3

​
Mathematics
2 answers:
Salsk061 [2.6K]4 years ago
8 0

I believe you answer would be D

aleksandr82 [10.1K]4 years ago
3 0

Answer:

None of them.

Step-by-step explanation:

you want to find the least value of x for which f(x)>g(x). Then replacing both expressions we have

4x>5x+2\rightarrow -2>5x-4x=x . This means that for f to be greater than g, x should be less than -2. Since we are considering x>0, given that it represents years (which are always positive), the question does not have a correct answer.

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You need a 65% alcohol solution. On hand, you have a 50 mL of a 30% alcohol mixture. You also have 70% alcohol mixture. How much
DIA [1.3K]

Answer:

  350 mL

Step-by-step explanation:

Let q represent the quantity (in mL) needed of the 70% solution. Then the total amount of mixture will be q+50 milliliters. The total amount of alcohol in the mixture will be ...

  0.70q +0.30(50) = 0.65(50 +q)

  .05q = 17.5 . . . . . . subtract (0.65q +1.50)

  q = 350 . . . . . . . . . divide by 0.05

You will need 350 mL of the 70% solution.

5 0
3 years ago
Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below. Note: Figure is not drawn to scale.
Flauer [41]

Answer:

The diagonal is 421.

Step-by-step explanation:

This is a difficult question. To find the diagonal, you need to find the base and the height of the square. After that, you need to make it a triangle, by using this equation; A=\frac{1}{2} BH (A being area, B being base, and H being height) then find the length of the hypotenuse of the triangle, which I will do for you.

32*13=416 The B and H = 416. Plug it into the equation now;

A=\frac{1}{2}(416*416)\\\\\\A=\frac{1}{2} 173,056\\\\\\A=86,528Now that you have done that, we know that the area of our new triangle is 86,528.

The diagonal is: 421

8 0
3 years ago
Read 2 more answers
What is the value of x
masha68 [24]
42...But try to get another answer though because I’m not 100 percent correct
4 0
3 years ago
The difference between twice a number and a number that is 5 more than it is 3. Which of the following equations could be used t
saw5 [17]

Answer:

Step-by-step explanation:

Let the number = x

<u><em>2x - (x + 5) = 3 </em></u> Answer

Now Let's solve it.

2x - x - 5 = 3

x - 5 = 3

x = 8

Check

2*8 - (8 + 5)

16 - 13

3

which is exactly what the right hand sign is.

5 0
3 years ago
Gabriella is x years old. Her sister, Felicia, is six years older than she is. Their mother is twice as old as Felicia. Their au
Snowcat [4.5K]

x(x+6)=

x^2+6x

4 0
3 years ago
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