Answer:
24: x = 31
25: x = 15
Step-by-step explanation:
Remark
24 is supplementary which means that the two angles add to 180o which is on the right hand side of the equation
25 is complementary which means that the two angles add to 90o which is on the left hand side of the equation
Twenty Four
3x + 31 +2x - 6 = 180 Collect the like terms
3x +2x + 31 - 6 = 180 Do the adding and subtracting.
5x + 25 = 180 Subtract 25 from both sides
5x + 25 - 25 = 180 - 25
5x = 155 Divide by 5
x = 155/5
x = 31
Check
3x + 31 = 3*31 + 31
3x + 31 = 93 + 31
3x + 31 = 124
2x - 6 = 2*31 - 6 = 62 - 6 = 56
Total 124 + 56 = 180 as it should.
Twenty Five
Equation
3x+ 4x - 15 = 90
Solution
7x - 15 = 90 Like terms have been collected on the left.
7x = 90 + 15 15 was added to both sides
7x = 105 Divide by 7
x = 15 I'll leave the check to you
1. **A(x)=(f(x)-f(a))/(x-a)
<span>
<span>*A is the name of this average rate of change function
*x - a represents the change in the input of the function f
<span> *f(x) - f(a) represents the change in the function f as the input changes from a to x
From table: f(5)=-2
f(9)=14
(f(5)-f(9))/(5-9)=(-2-14)/-4=4
</span></span></span><span>The average rate of change of over the interval from x = 5 to x = 9 is 4.
2. f(x)=4x²+6x, g(x)=2x²+13x+1
(f/g)(x)=(4x²+6x)/(2x²+13x+1)
Using the table of values- x:4,5,6,7,8,9
f(x): 88/85,155/116,180/151,238/190,304/233,378/280
3. f(x)=x²-6x+8, g(x)=x-2
f(x)=g(x)⇒x²-6x+8=x-2⇒x²-6x-x+8+2=0, x²-7x+10=0
x₁,₂=(7⁺₋√(7²-4*10))/2=(7⁺₋3)/2
x₁=5, x₂=2
Using the table of values solution is x=5 because 2 doesn't exist in the table of values.
</span>
Answer:
inequality notation: x > -1
interval notation (-1, ∞)
Answer:
4 and 2
Step-by-step explanation:
please mark me as hhhshhàg jb hhhh bcuz