Answer:
n+8
Step-by-step explanation:
"A number" signifies the need for a variable, in this case, n. The keyword increased shows that the operation is addition. So put it together and you get n+8.
B, there is no angles so it has to be SSS
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:
(2x + 5)(3x - 7), (x + 4)(x - 2)
Step-by-step explanation:
a = 6, b = 1, c = -35
? × ? = ac = 6 × -35 = - (<u>2</u> × 3 × <u>7</u> × 5)
? + ? = b = 1
3 × 5 -(<em>negative sign from above</em>) 2 × 7 = <u>15</u> <u>- 14</u> = 1 = b
=
=
a = 1, b = 2, c = -8
? × ? = ac = 1 × -8 = -(2 × 2 × 2) = 4 × <u>-2</u>
? + ? = b = 2
4 + <u>(-2)</u> = 2 = b
=
The probability that the 5-member committee contains all men is; P(all men) = 0.051
According to the question, the club is made up of 12 male and 8 female members.
- Total number of members = 12 + 8 = 20 members.
If the 5-member committee will contain all men; the probability is thus;
Since, the probability is without replacement, after each selection, the number of male members and the total number of members reduces by 1 each time.
Therefore, the probability is as follows;
- (12/20) × (11/19) × (10/18) × (9/17) × (8/16).
Ultimately, the algebraic sum of the expression above yields the probability that the 5-member committee contains all men.
P(all men) = 95040/1860480
P(all men) = 33/646.
P(all men) = 0.051
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