Answer:
a)
b) 3 terms in simplified expression
c) 3 is leading coefficient
d) 2 is the degree of simplified expression
Step-by-step explanation:
We need to perform subtraction of
a) What did you need to distribute to the second polynomial to rewrite?
We need to multiply - sign with the terms inside the bracket.
Perform subtraction. Then, answer:
b) How many terms in the simplified expression?
There are 3 terms in the simplified solution
c) What is the leading coefficient of the simplified expression?
The leading coefficient is the coefficient with highest degree. The highest degree is 2 so, leading coefficient is 3
d) What is the degree of the simplified expression?
The highest degree is considered as the degree of simplified expression. In our case the highest degree is 2
Answer:
{
x
∣
x
>
1
} or x
∈
(
1
,
∞
)
Step-by-step explanation:
2
x
+
3
>
7
⇒
2
x
>
4
(subtract 3 from both sides)
2
x
+
3
>
7
⇒
x
>
2
(divide both sides by 2)
2
x
+
9
>
11
⇒ 2
x
>
2
(subtract 9 from both sides)
2
x
+
9
>
11
⇒
x
>
1
(divide both sides by 2)
if an x
-value is greater than 2, it will automatically be greater than 1. Thus, the solution set for 2
x+
3
>
7 is a subset of the one for 2
x
+
9
>11
.That means, all we need to do here is list the solution set for 2
x
+
9
>
11
, and we're done.
The solution set we need is simply "all x such that x is greater than 1", or {
x
∣
x
>
1
}
or
x
∈
(
1
,
∞
)
Answer: but will soon find out
Step-by-step explanation:
The basic structure of a linear function is y=mx+b (or +c, depending on your schools curriculum)
We need to find the slope (m), and the y-intercept (b/c)
To find the slope you can pick two random points, say (2,2) and (0,1)
The formula for the slope is this: m= y1-y2 / x1-x2
So if we substitute the points in, we get 2-1 / 2-0 = 1/2
Knowing the slope, it can be substituted into to the equation: y=1/2x + b
Then, if you notice the second point- (0,1), it’s the y-intercept. The y coordinate there is 1.
To check if this is correct, a random coordinate set can be picked and substituted in to find b.
y= 1/2x + b
2 = 1/2 *2 + b
2 = 1 + b
2-1=b
1=b
Therefore, the final linear function is y = 1/2 x + 1
Statement Reason
m∠EGF = 60° & m∠AGF = 90° Given
∠EGF + ∠AGF + ∠AGB = 180° Definition of supplementary angles
60° + 90° + ∠AGB = 180° Substitution
150° + ∠AGB = 180° Add the the similar values
∠AGB = 180° - 150° Subtraction property of equality
∠AGB = 30° Answer
You are free to arrange any of the reasons (and statements) as you wish.
I just want to give you the main idea.
Hope this helps.