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3 years ago

2a - 4b +3ab -5a +2b

Mathematics

2 answers:

DaniilM [7]3 years ago

6 0

Answer:

-3a-2b+3ab

Step-by-step explanation:

2a-5a

-4b+2b

Vesnalui [34]3 years ago

6 0

Answer:

3a+2b-3ab=0

Step-by-step explanation:

2a - 5a -4b+2b+3ab

-3a-2b +3ab

taking - common

-(3a+2b-3ab)=0

3a+2b-3ab=0

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For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.

iragen [17]

Answer:

$-\frac{7}{3}$

Step-by-step explanation:

To solve this, we are using the average rate of change formula:

$m=\frac{f(b)-f(a)}{b-a}$

where

$m$ is the average rate of change

$a$ is the first point

$b$ is the second point

$f(a)$ is the function evaluated at the first point

$f(b)$ is the function evaluated at the second point

We want to know the average rate of change of the function $f(x)=0.5^x-6$ form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, $a=-3$ and $b=0$ .

Replacing values

$m=\frac{f(b)-f(a)}{b-a}$

$m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}$

$m=\frac{1-6-(8-6)}{3}$

$m=\frac{-5-(2)}{3}$

$m=\frac{-5-2}{3}$

$m=\frac{-7}{3}$

$m=-\frac{7}{3}$

We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is $-\frac{7}{3}$

4 0

3 years ago

A computer store buys a computer system at a cost of 474.60 $. The selling price was first at 791 , but then the store adverti

GalinKa [24]

So the question is the original price was $791 and they bought it at the marked down price at $474.60? then they saved $316.40 but i’m not really sure if that’s the question lol

5 0

3 years ago

Please help, thanks.

Svetllana [295]

$\text{Apply Pythagorean theorem,}\\ \\~~~~~~12^2 = 3^2 + h^2\\\\\implies h^2 = 12^2 -3^2\\\\\implies h^2 = 144-9\\\\\implies h^2 = 135\\\\\implies h = \sqrt{135}\\\\\implies h = 3\sqrt{15}\\\\\implies h \approx 11.62$