Answer:
ax(x+1)
ax(x+a)
Step-by-step explanation:
ax² + ax
= ax(x+1)
ax² + a²x
= ax(x+a)
hope it helps ☺️
<h3>
Answer: 1</h3>
Work Shown:
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.8 + 0.55 - 0.35
P(A or B) = 1.35 - 0.35
P(A or B) = 1
A probability of 1 means there is 100% certainty the event happens. This must mean that there are only possible outcomes are: either event A happens, or B happens, or possibly both A and B happen simultaneously.
Have in mind that as you cannot take the square root of a negative number, this means that x-4 CANNOT be negative. So it's either 0 or it's positive.
So we proceed like this:<span>x−4≥0</span>
<span>x−4+4≥0+4</span>
<span>x≥4
</span>So the domain is <span>{<span>x|x≥4</span>}
</span>In interval notation, the domain is <span><span>[4,∞)
I hope thi can help you</span></span>
Answer:
9. -4x+19y-7
10. 7x+20
Step-by-step explanation:
9. To simplify this expression, simply combine like terms. Add all of the terms with the x variable together, then the terms with the y variable, then the constant terms. I will show this step by step, but usually you do not have to show this work. The order of the terms does not matter.
x variable terms: (4x-8x)+7y-2+6y+6y-5= -4x+7y-2+6y+6y-5
y variable terms: (7y+6y+6y)-4x-2-5=19y-4x-2-5
constant terms: (-2-5)-4x+19y=-4x+19y-7
10. To simplify this expression, expand all terms and then combine like terms. The first term can be expanded by multiplying each term in the parentheses by 2.
Expand terms: 2(5+3x)+(x+10)= 10+6x+x+10
Now, you can combine like terms as done on the last problem. Note that I got rid of the parentheses in the second term, as they did not matter (since there was no term in front of them).
x variable terms: (6x+x)+10+10=7x+10+10
constant terms: (10+10)+7x=7x+20