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3 years ago

Merl needs to cut down 10.5 trees for every 5 cabins she builds

Mathematics

1 answer:

Anika [276]3 years ago

7 0

10.5*5= 52.5 is the correct answer to the question

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Given g(x) = −3x + 4

Goshia [24]

Answer:

The average rate of change of g from x = a to x = a + h is -3.

Step-by-step explanation:

We are given the function:

$g(x) = -3x + 4$

And we want to determine its average rate of change of the function for x = a and x = a + h.

To determine the average rate of change, we find the slope of the function between the two points. In other words:

$\displaystyle \text{Avg} = \frac{g(a + h) - g(a) }{(a + h ) - a}$

Simplify:

$\displaystyle \begin{aligned} \text{Avg} &= \frac{g(a + h) - g(a) }{(a + h ) - a} \\ \\ &=\frac{(-3(a+h) + 4) - (-3a+4)}{h} \\ \\ &= \frac{(-3a -3h + 4) + (3a - 4) }{h} \\ \\ &= \frac{-3h}{h} \\ \\ &= -3\end{aligned}$

In conclusion, the average rate of change of g from x = a to x = a + h is -3.

This is the expected result, as function g is linear, so its rate of change would be constant.

3 0

2 years ago

(2³)² solve this problem

max2010maxim [7]

Answer:

$(2^3)^2 = 64$

Step-by-step explanation:

Option 1:

Using the following rule:

$(a^n)^m = a^{nm}$

Put in our expression,

a = 2

n = 3

m = 2

$(a^n)^m = a^{nm}$

$(2^3)^2 = 2^{3*2}=2^6=64$

Option 2:

Using the following rule:

$a^n * a^m = a^{n+m}$

Since our expression is the same as multiplying 2³ with itself, we can write it as a multiplication.

$(2^3)^2 = 2^3 * 2^3$

If we compare this with $a^n * a^m$ , we can see that

a = 2

n = 3

m = 3 (in this case, n and m are equal)

$a^n*a^m = a^{n+m}$

$2^3*2^3 = 2^{3+3} = 2^6 = 64$

Answer: $(2^3)^2 = 64$

7 0

3 years ago

Plz help ill give u brainlist

PSYCHO15rus [73]

Hello!

It tells you what to do in the question

First round all the numbers to the nearest whole number

2.20 = 2
2.34 = 2
2.7 = 3

Then it says to multiply all the numbers

2 * 2 * 3 = 12

Then it says to divide by 6

12 / 6 = 2

The answer is 2 cubic yards

Hope this helps!

5 0

2 years ago

Read 2 more answers

If 3x+y = 7, what is the value of x/y? SOMEONE HELP I NEED IT QUICK!! plsss

andrey2020 [161]

Answer:

x=2 y=1

Step-by-step explanation:

3 times 2 =6

plus 1 = 7

8 0

2 years ago

Which statement is true about the equations –3x + 4y = 12 and x – y = 1?

Firlakuza [10]

-3x + 4y = 12
x - y = 1....x = y + 1

-3(y + 1) + 4y = 12
-3y - 3 + 4y = 12
-3y + 4y = 12 + 3
y = 15

x - y = 1
x - 15 = 1
x = 1 + 15
x = 16

one solution (16,15)

6 0

2 years ago