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3 years ago

Solve the system of equation Y=4x-11 Y=x+13 X= Y =

Mathematics

1 answer:

Phoenix [80]3 years ago

5 0

Answer:

(8,21)

Step-by-step explanation:

Since both equations equal y, set both equaitions equal to each other

and solve for x

4x-11=x+13 , subtract x from both sides

3x-11=13, add eleven to both sides

3x=24, divide both sides by 3 to get x alone

x=8

Substitute x=8 into either equation to solve for y

y=4(8)-11

y=32-11

y=21

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How does adding the log together automatically mean that it is a factorial?

andreyandreev [35.5K]

Answer: The answer is given below.

Step-by-step explanation: We are given an equality involving logarithm and we are to show the implication of L.H.S. to R.H.S.

We will be using the following two properties of logarithm:

$(i)~\log_ba=\dfrac{1}{\log_ab},\\\\\\(ii)~log_ab+\log_ac=\log_a(bc).$

The proof is as follows:

$L.H.S.\\\\\\=\dfrac{1}{\log_2N}+\dfrac{1}{\log_3N}+\dfrac{1}{\log_4N}+\cdots+\dfrac{1}{\log_{100}N}\\\\\\=\log_N2+\logN3+\log_N4+\cdots+\log_N100\\\\=\log_N\{2.3.4...100\}\\\\=\log_N\{1.2.3.4...100\}\\\\=\log_N{100!}\\\\=\dfrac{1}{\log_{100!}N}\\\\=R.H.S.$

Hence proved.

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3 years ago

What are the solutions to the quadratic equation 98-x2=0

kifflom [539]

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3 years ago

What scale factor is shown by this graph?

notsponge [240]

the scale factor is 2.

because

if you look at the length AL in the smaller shape, it is 2 squares.

now if you look at the length AL in the enlarged shape, it is 4 squares.

to find the scale factor, do 4 ÷ 2 which is 2.

therefore the scale factor is 2

6 0

3 years ago

Read 2 more answers

(2z + 1)(2) = Answer this please

djverab [1.8K]

Answer:

4z+2

Step-by-step explanation:

2z * 2=4z & 1*2=2

3 0

3 years ago

1-Describe the error in the way the calculation of the slope of the two points is set up and/or solved. Please be specific. Do n

Bad White [126]

Answer:

Please check explanations for answer

Step-by-step explanation:

Let’s have two points (5,10) and (15,20)

1. Let’s find the slope of these two points

Mathematically, the slope can be calculated using the formula;

m = (y2-y1)/(x1-x2)

So m = (20-10)/(5-15) = 10/-10 = -1

The error here is the formula used in calculating the slope

The formula should be;

m = (y2-y1)/(x2-x1) and not x1-x2

2. To calculate the slope correctly, we have;

m = (y2-y1)/(x2-x1)

So the slope will be;

m = (20-10)/(15-5) = 10/10 = 1

In the point slope form, the equation can be represented as;

y-y1 = m(x-x1)

Let’s use the point (5,10)

y- 10 = 1(x-5)

The above is the point slope form

using one of the points and the correct slope of the line

6 0

3 years ago