Answer: Here are all of the answers to the best of my ability :)
1: Solve the following equation for “y”:
3y - 4x = 15
Steps:
1. Add 4x to both sides. 3y = 4x + 15
2. Divide both sides by 3. Y= 4/3x + 5
Final answer: y= 4/3x + 5
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2. Write an equation in slope intercept form for a line that passes through the y axis at 5 and has a slope of -3.
Slope intercept form: y = mx + b
B= y intercept
Mx= slope
Equation: y = 3x + 5
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3. Is (-2, 6) a solution of -3y + 5y = 4x?
Steps:
1. -3(6) + 5(6) = 4x
2. -18y + 30y = 4x
3. 12 = 4x
4. Rewrite the equation: 4x = 12
5. Divide by 4 on both sides
6. x = 3
Yes, this is a solution to -3y + 5y = 4x
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4. Write the following equation in slope intercept form: x + 8y = 30
1. Add negative 8y to both sides. X = -8y + 30
Answer: x= -8y + 30
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5. Graph this equation: 2x + 5y = 20
That’s all I could find. Sorry if I made I mistake. Have a good day!
Answer:
see explanation
Step-by-step explanation:
A recursive formula allows us to calculate any term in the sequence from the previous term.
These are the terms of a geometric sequence with r being the common ratio between consecutive terms.
r = 4 ÷ - 2 = - 8 ÷ 4 = 16 ÷ - 8 = - 2
Multiplying a particular term by - 2 gives the next term in the sequence.
Hence recursive formula is
= - 2
with a₁ = - 2
Answer:
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Step-by-step explanation:
The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42
<u>Using trial and error method we will find the first root of the polynomial.</u>
1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42
1 - 10 - 53 - 42 ≠ 0
Therefore 1 is not a root
-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42
- 1 - 10 + 53 - 42
53 - 53 = 0
Therefore - 1 is a root of the polynomial.
Therefore ( x + 1) is a factor.
<u>Now by long division or by using synthetic division we can find other factors.</u>
<u>Synthetic Division :</u>
-1 | 1 -10 -53 - 42
| 0 - 1 11 42
|______________________
1 - 11 - 42 0
Therefore ,
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<u>Next further factorize x² - 11x - 42</u>
x² - 11x - 42
= x² - 14x + 3x - 42
=x(x - 14) + 3 (x - 14)
=(x + 3 )(x - 14)
Therefore ,