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Citrus2011 [14]
3 years ago
13

Step A: = –c + = Step B: = Determine the justification for the steps from the derivation of the quadratic formula. Justification

of step A: Justification of step B:
Mathematics
2 answers:
8_murik_8 [283]3 years ago
8 0
What are the options for this question 
Anton [14]3 years ago
7 0

Answer:

Step-by-step explanation:

i got it. For A its common denominator and for B its multiplication property of equality

This is correct.

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Identify whether the equation represents an exponential growth or exponential decay function.1. y = 1/4 (1/e)^-2x2. y = (1/e)^4x
zvonat [6]

The general formula for exponential growth and decays is:

y=y_0e^{kx}

if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.

Now we need to classify each of the functions:

1.

The function

y=\frac{1}{4}(\frac{1}{e})^{-2x}

can be wrtten as:

\begin{gathered} y=\frac{1}{4}(e^{-1})^{-2x}^{} \\ =\frac{1}{4}e^{2x} \end{gathered}

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

2.

The function

y=(\frac{1}{e})^{4x}

can be written as:

\begin{gathered} y=(\frac{1}{e})^{4x} \\ y=(e^{-1})^{4x} \\ y=e^{-4x} \end{gathered}

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

3.

The function

y=2e^{-x}+1

comparing with the general formula we notice that k=-1, therefore this is an exponential decay.

5 0
1 year ago
Which of these expressions CANNOT be simplified by combining like terms?
densk [106]
5ab^{3} +7-3a^{2} b ^{2} +a^{3}b+10 can be simplified to by adding the 7 and 10 to get a^{3}b-3a^{2} b ^{2}+ 5ab^{3} + 17.

5ab^{3}+3a^{2}b^{2}+a^{3}b -10 cannot be simplified any more by combining like terms.

By distributing the 2b into the parentheses, you can simplify the expression:
5ab^{3}+2b(3ab^{2})+a^{3}b-10\\&#10;5ab^{3}+6ab^{3}+a^{3}b-10\\&#10;11ab^{3}+a^{3}b-10

Here you can just add:
5a^{3}b^{3}+3a^{2}b^{2}+a^{3}b^{3}-10ab\\&#10;6a^{3}b^{3}+3a^{2}b^{2}-10ab

Thus, the only expression that cannot simplify any more using adding like terms is the second, 5ab^{3}+3a^{2}b^{2}+a^{3}b -10.
3 0
3 years ago
Read 2 more answers
The following relations are written as equations. Which one is NOT a.
julia-pushkina [17]

Answer:

x = 4

Step-by-step explanation:

doesn't pass the vertical line test

8 0
3 years ago
Read 2 more answers
Point p lies on the directed line segment from A (2,3) to B (8,0) and portions the segment in the ratio 2 to 1
Arturiano [62]

Answer:

The x-coordinate of point P is 6

Step-by-step explanation:

we have

A (2,3) and B (8,0)

we know that

Point P portions the segment AB in the ratio 2 to 1

so

AP=\frac{2}{3} AB

and

AP_x=\frac{2}{3} AB_x

where

AP_x represent the distance between the points A and P in the x-coordinates

AB_x represent the distance between the points A and B in the x-coordinates

AB_x=8-2=6\ units

AP_x=\frac{2}{3} (6)=4\ units

The x-coordinate of P is equal to

P_x=A_x+AP_x

where

A_x represent the x-coordinate of A

substitute the values

P_x=2+4=6

therefore

The x-coordinate of point P is 6

6 0
3 years ago
___a value used to represent a true measurement that is not exact when an exact answer is not possible
Whitepunk [10]

Answer:

An estimate

Step-by-step explanation:

4 0
3 years ago
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