Answer:
<em>Part A</em>: Explain why x = 5 makes 4x - 1 ≤ 19 true but not 4x - 1 < 19
<em>Part B: x=9</em>
Step-by-step explanation:
<u>Part A</u>: Because the first one is less than or equal to 19 and the other is just less than.
x = 5
TRUE: 4x - 1 ≤ 19 = 20-1 ≤ 19 = 19 ≤ 19
19 is less than or equal to 19 so its true
FALSE: 4x - 1 < 19 = 19 < 19
19 is not greater than 19
<u>Part B:</u>
5x + 2 = 47 subtract 2 from both sides
5x = 45 divide both sides by 5
x = 9
To check we can plug it back in
5x + 2 = 47
5(9) + 2 = 47
45 + 2 = 47
47 = 47
TRUE
Answer:
D= 37
C= 53
x+x-16=90
+16 +16
2x=106
/2 /2
x=53
Answer:
36
Step-by-step explanation:
You take 1/2 the linear term's coefficient and square it.
The linear term is the term that contains just an x and a number -- in this case 12x
Take 1/2 12 = 6
and square it
6^2 = 36
So when you've done that you should get
x^2 + 12x + 36 = 11 + 36
x^2 + 12x + 36 = 47
answer: c. <em>l</em><em> </em>=p-2b/2
step by step:
p=2(1-b)
p=2<em>l</em>-2b
p+2b/2=2<em>l</em><em>/</em><em>2</em>
<em>l</em><em> </em><em>=</em><em>p</em><em>-</em><em>2</em><em>b</em><em>/</em><em>2</em>
10*10=100
100*132.71=13271