Answer:
j² - 5j²k - 2
Step-by-step explanation:
3j² - j²k - 6 - 4j²k - 2j² + 4
To simplify this polynomial, we can collect like terms. A term is number(s) or variable(s) that are grouped together by multiplication. <u>Like terms have the same variable and exponent</u>.
We have three groups of like terms:
The j-squares (j²), the j-squared k (j²k) and the constants (no variable).
Remember to include the negatives!
The j-squares are: 3j² ; -2j²
The j-squares k are: - j²k ; - 4j²k
The constants are: - 6 ; 4
Simplify:
3j² - j²k - 6 - 4j²k - 2j² + 4
Rearrange the polynomial by like terms
= (- j²k - 4j²k) + (3j² - 2j²) + (- 6 + 4)
Add or subtract the like terms
= (-5j²k) + (j²) + (-2)
Remove brackets and rearrange so the negative is not first
= j² + - 5j²k + - 2
Simplify where two signs are together. Adding a negative is subtraction.
= j² - 5j²k - 2 Simplified
Answer:
a = -1 , b = 4 , c = 3 , d = 1
Step-by-step explanation:
The general rules of exponent:
===================================================
Given:
The right hand side = (-xy)³ (xz) = (-1)³ x³ y³ x z = (-1) x⁴ y³ z
Comparing the right hand side with the left hand side
∴ a = -1
∴ b = 4
∴ c = 3
∴ d = 1
Answer: C, 9 units
Step-by-step explanation:
(-4, -3) is new point
Answer:
y- intercept = 4
Step-by-step explanation:
The y- intercept is the value of the y- coordinate where the line crosses the y- axis.
Here the y- intercept = 4 or (0, 4) ← coordinates of point
Life Advice:
I, too have experienced a huge fall in my math grades. I'm currently in high school and I have maybe 2 assignments done in my entire school year of math. I have almost no problem with any other subject, I just can't <em>motivate myself to do math</em>. I have a hard time ever even considering catching up, and I personally do not know if I will.
You might have the same problem I do, which is just lack of motivation.
If I were you I would provide some sort of incentive to get yourself to do it more efficiently and better yet, more enjoyably. I also advise listening to music that can get you in a good mood. Both of these things have been a huge help for me to stay motivated in other classes, and they may even help you with math.
I would also recommend getting some kind of a personal tutor. A friend, a worker at school, one of your math teachers. Never feel embarrassed to tell them you're behind. People will almost always be understanding when it comes to helping someone learn something they're behind on.
For an incentive, think about something you might be able to buy with money from a job that you take outside of high school, like a car or a house, or a guitar.
I, personally, am going to get a really beat-up pickup truck if it lasts till the end of my school year.
I hope this helped!
Thanks!
Your friend in life,
~Steve
