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elixir [45]
3 years ago
8

Suppose you are determining the growth rate of two species of plants. Species A is 12 cm tall and grows 2 cm per month. Species

B is 10 cm tall and grows 3 cm per month. Which system of equations models the height of each species H(m) as a function of months m.
H(m ) = 12 + 2m
H(m ) = 3 + 10m
H(m ) = 2 + 12m
H(m ) = 3 + 10m
H(m ) = 12 + 2m
H(m ) = 10 + 3m
H(m ) = 2 + 12m
H(m ) = 10 + 3m
Mathematics
1 answer:
stira [4]3 years ago
4 0
First one has initial height of 12 cm and on that inicial height we add 2cm each month which can be written as 2m + 12

Second one has initial height of 10 cm and grows 3cm per month which can be written as 3m + 10

Now we just have to find those expressions in offered equations to find answer.

We can see that system of equations is:
H(m) = 12 + 2m
H(m) = 10 + 3m

or third pair.
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the length of a rectangular sing is 5 time its width. if the sign perimeter is 24 inches. what is the sign area ?
kumpel [21]

Answer:

20 in²

Step-by-step explanation:

Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so

b = x inches

l = 5x inches

Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as

Perimeter = 2(l + b), substituting this, we have

24 = 2(5x + x)

24 = 10x + 2x

24 = 12x

x = 24 / 12

x = 2 inches.

Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.

l = 5 * 2

l = 10 inches.

Then, we are asked to find the area of the sign. Area of a rectangle is given as

A = l * b, so if we substitute, we have

Area = 10 * 2

Area = 20 square inches

8 0
3 years ago
Solve 4 over x minus 4 equals the quantity of x over x minus 4, minus four thirds for x and determine if the solution is extrane
Vinil7 [7]
I'm thinking this is what the problem looks like: \frac{4}{x-4}= \frac{x}{x-4}- \frac{4}{3}.  The first thing to do is to move the \frac{x}{x-4} over to the other side because it has a common denominator with the other side.  Doing that and at the same time combining them over their common denominator looks like this: \frac{4-x}{x-4}= -\frac{4}{3}.  The best way to solve for x now is to cross-multiply to get 3(4-x)=-4(x-4).  Distributing through the parenthesis is 12 - 3x = -4x + 16.  Solving for x gives us x = 4.  Of course when we sub a 4 back in for x we get real problems, don't we?  Dividing by zero breaks every rule in math that there ever was! So, yes, the solution is extraneous.
6 0
3 years ago
HELPPPPPP PLEASEEEEE !!!!!
ollegr [7]

Answer:

m∠DBC is 43°

Step-by-step explanation:

Let us solve the question

∵ D is in the interior of ∠ABC

→ That means D divides ∠ABC into two angles ABD and DBC

∴ m∠ABD + m∠DBC = m∠ABC

∵ m∠ABD = (3x + 5)°

∵ m∠DBC = (5x - 7)°

∵ m∠ABC = 78°

→ Substitute them in the equation above

∴ 3x + 5 + 5x - 7 = 78

→ Add the like terms in the left side

∵ (3x + 5x) + (5 + -7) = 78

∴ 8x + -2 = 78

∴ 8x - 2 = 78

→ Add 2 to both sides

∴ 8x -2 + 2 = 78 + 2

∴ 8x = 80

→ Divide both sides by 8

∴ x = 10

→ To find m∠DBC, substitute x by 10 in its measure

∵ m∠DBC = 5(10) - 7

∴ m∠DBC = 50 - 7

∴ m∠DBC = 43°

3 0
3 years ago
Please and thank youuuuuu! :)
lesantik [10]
<h3><u>Answer:</u></h3>
  • The slope is 4.
<h3><u>Step-by-step explanation:</u></h3>

We know the slope intercept formula. Using the formula, we can find the slope.

  • Formula: y = mx + b
  • Given equation: y = 4x - 6
  • m = Slope
  • b = y-intercept

Now, let's compare both equations to find out what is the slope.

  • => y = mx + b

            y = 4x - 6

<h3><u>Conclusion:</u></h3>

We can clearly see that m is replacing with 4. That basically means the slope is 4.

Hoped this helped.

-BrainiacUser1357-

6 0
3 years ago
Read 2 more answers
A scale model of an airplane has a length of 19 centimeters and a wingspan of 18 centimeters. The length of the real airplane is
qaws [65]
If the length of the real airplane is 38 then 19x2 is 38, so 18x2 36. therefore you answer is 36
5 0
4 years ago
Read 2 more answers
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