Please help me please

Given the following system of equations: -4x+8=16, 2x+4y=32 what action was completed to create this new equivalent system of eq

castortr0y [4]

The equation (1) is divided by 2 to create new equivalent system of equations.

Step-by-step explanation:

The given systems of equations are:

$-4x+8y=16\,\,\,(1)\\2x+4y=32\,\,\,(2)$

Considering 8y instead of 8 in eq(1)

We need to identify what action was completed to create this new equivalent system of equations? $-2x+4y=8, 2x+4y=32$

Comparing given equations we came to know that equation(1) is divided by 2 to get the new equation i.e

$-4x+8y=16\\Divide\,\,by\,\,2:\\-2x+4y=8$

While second equation is same as given.

So, The equation (1) is divided by 2 to create new equivalent system of equations.

Keywords:System of Equation

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4 0

3 years ago

Find the average rate of change of f(x)=2x^2-7x from x=2 to x=6

scoundrel [369]

Answer:

Step-by-step explanation:

The average rate of change of a function f between a and b (a< b) is :

R =[f(b)-f(a)] ÷ (a-b)

●●●●●●●●●●●●●●●●●●●●●●●●

Let R be the average rate of change of this function

f(6) = 2×6^2 - 7×6 = 72-42 = 30

f(2) = 2×2^2 - 7×2 = 8-14 = -6

R = [f(6) - f(2)]÷ (6-2)

R = [30-(-6)] ÷ 4

R = -36/4

R = -9

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The average rate of change of this function is -9

8 0

3 years ago

Read 2 more answers

Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?

vichka [17]

Answer:

The expression $-1+14i$ represents the number $2i^4-5i^3+3i^2+\sqrt{-81}$ rewritten in a+bi form.

Step-by-step explanation:

The value of $i$ is $i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4}$ in term of $i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}$

Substituting the value,

$i^{4}=\left(-1\right)\times \left(-1\right)$

Product of two negative numbers is always positive.

$\therefore i^{4}=1$

Now $i^{3}$ in term of $i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i$

Substituting the value,

$i^{3}=\left(-1\right)\times i$

Product of one negative and one positive numbers is always negative.

$\therefore i^{3}=-i$

Now $\sqrt{-81}$ can be written as follows,

$\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}$

Applying radical multiplication rule,

$\sqrt{ab}={\sqrt{a}}\sqrt{b}$

$\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}$

Now, $\sqrt{\left(81\right)=9$ and $\sqrt{-1}}=i$

$\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i$

Now substituting the above values in given expression,

$2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i$

Simplifying,

$2+5i-3+9i$

Collecting similar terms,

$2-3+5i+9i$

Combining similar terms,

$-1+14i$

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0

3 years ago

More than half of the students were excited about the project. In fact, were excited. If 10 students were not

alina1380 [7]

Answer:1/2 divided by 10

Step-by-step explanation:

8 0

3 years ago

Help (the answer isn't the 3rd one my friend did this test and chose that and got it wrong please )

Arturiano [62]

Answer:

3 and 1/3

Step-by-step explanation:

It is 3 and 1/3 because there are 3 fully shaded circles (3) then one of the three parts for one circle (1/3)

If it was wrong there is something wrong with the test lol.

5 0

3 years ago

Read 2 more answers