Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 1?
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Answer:
Step-by-step explanation:
Distributive property
a(b - c) = ab - ac
3(x-4) = 3*x - 3*4
= 3x - 12
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What is the value of x, given that modifying above upper P upper Q with bar parallel to modifying above upper B upper C with bar ? The figure is triangle A B C with a segment from point P on segment A B to point Q on segment A C. Segment A P equals 9. Segment P B equals 18. Segment A Q equals x. Segment Q C equals 10.
Will Mark brainliest Please check my answer >.<
Cylinder a has a radius 2 cm and contains water to a height of 10cm cylinder b has a radius 5cm and is empty. Some of the water is poured from cylinder a to b the height is now the same
What is the focal length of the parabola with equation shown below?
Answers
FOIL=First,Outer,Inner,Last
We'd start by multiplying the first numbers in each parenthesis by eachother:
(n-3)(n-5)
n*n=n²
Now the outer two values...
(n-3)(n-5)
-5n
The inner two values
(n-3)(n-5)
-3n
And the last two values
(n-3)(n-5)
-3*-5=15
Now just put all of the expressions together...
n²-5n-3n+15
simplify
n²-8n+15
Answer=n²-8n+15
By what percentage has the company increased in value? Round the percentage to one decimal place.
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The value of the company has increased by 304k dollars.
What is a numerical expression?
A numerical expression is written in form of numbers and their operations.
Numerical expression can be formed from a given statement also.
According to the given question When a business opens, it has an initial value of 956k dollars. Two years later the company has a value of 1.26 million dollars.
We know 1 million is = 1000k.
∴ 1.26 million is = 1260 dollars.
So, by (1260 - 956)k = 304k dollars the company increased in value.
Read more about numerical expression at:
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Here is a example of a periodic function
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Answer: The value of the determinant is 1.
Step-by-step explanation: The given system of linear equation is as follows:
The first column of the determinant gives the coefficients of 'x' and the second column gives the coefficients of y in the two equations.
Therefore, the determinant for the given system is
Thus, the required value of the determinant is 1.
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first multiplication
(2*2)+(2*2)+2-(2*2)=(4)+(4)+2-(4)=8+2-4=10-4=6
the answer is A
a) an = 6an-1, a0 = 2
b) an = −2an-1, a0 = −1
c) an = an-1 – an-2, a0 = 2, a1 = −1
Answers
a) The first five terms of the sequence are 2, 12, 72, 432, 2592.
b) The first five terms of the sequence are -1, 2, -4, 8, -16.
c) The first five terms of the sequence are 2, -1, -3, -2, 1.
To find the first five terms of the sequence defined by each of these recurrence relations and initial conditions, we will use the given recurrence relation and initial conditions to find the next terms in the sequence.
a) an = 6an-1, a0 = 2
The first term is given as a0 = 2. We will use the recurrence relation to find the next terms.
a1 = 6a0 = 6(2) = 12
a2 = 6a1 = 6(12) = 72
a3 = 6a2 = 6(72) = 432
a4 = 6a3 = 6(432) = 2592
So, the first five terms of the sequence are 2, 12, 72, 432, 2592.
b) an = −2an-1, a0 = −1
The first term is given as a0 = -1. We will use the recurrence relation to find the next terms.
a1 = -2a0 = -2(-1) = 2
a2 = -2a1 = -2(2) = -4
a3 = -2a2 = -2(-4) = 8
a4 = -2a3 = -2(8) = -16
So, the first five terms of the sequence are -1, 2, -4, 8, -16.
c) an = an-1 – an-2, a0 = 2, a1 = −1
The first two terms are given as a0 = 2 and a1 = -1. We will use the recurrence relation to find the next terms.
a2 = a1 - a0 = -1 - 2 = -3
a3 = a2 - a1 = -3 - (-1) = -2
a4 = a3 - a2 = -2 - (-3) = 1
So, the first five terms of the sequence are 2, -1, -3, -2, 1.
Learn more about Recurrence
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