Hello,
First, you must understand that
(f-g)(x) means f(x)-g(x) it is the difference of two functions :
f(x)=2x+4 and g(x)=3x-7
f(5)=2*5+4=10+4=14
g(5)=3*5-7=15-7=8
So, (f-g)(5)= f(5)-g(5)=14-8<u>=6</u>
Answer A: none of the choices are correct.
An other way to do it:
(f-g)(x)=f(x)-g(x)=2x+4-(3x-7)= 2x-3x+4+7=-x+11
if x= 5 then (f-g)(5)=-5+11<u>=6</u>
Which of the following relations represents a function? A. {(1, 1), (1, 2), (1, 3)} B. {(1, 1), (2, 1), (3, 1)} C. {(1, 1), (2,
ludmilkaskok [199]
Answer:
D. Both B and C.
Step-by-step explanation:
For an ordered pair relation to represent a function, then none of the first coordinate must repeat.
In other words, no two or more ordered pairs should have the same first coordinate.
For options A, the first coordinate repeated.
For options B and C, none of the first coordinates repeat.
Both represent a function.
The correct choice is D
Answer:
Step-by-step explanation:
Since angles A and E correspond, as well as angles C and F, we can say ...
ΔABC ~ ΔEDF
Then the ratio of side lengths of ΔABC to those of ΔEDF is ...
AC/EF = 6/2 = 3
That means ...
ED/AB = 1/3
ED = AB·(1/3) = 3.3·(1/3) = 1.1
For the remaining sides, we have the relation
3·DF = BC
3·(BC -3.2) = BC
2BC - 9.6 = 0 . . . eliminate parentheses, subtract length BC
BC -4.8 = 0 . . . . . divide by 2
BC = 4.8 . . . . . . . . add 4.8
DF = BC·(1/3) = 1.6
The unknown side lengths are BC = 4.8, DE = 1.1, DF = 1.6.
Answer:
opening the bracket, the expression becomes
12x^2-28-19x^2
collect like terms
12x2-19x^2-28
-7x^2-28
-7(x^2+4)
Answer:
D. 8
Step-by-step explanation:
Using the graph of the function above, f(4) can be easily determined by tracing the corresponding coordinate of x = 4. When x = 4, on the x-axis, y = 8 on the y-axis.
The value of f(4), simply means, what is the value of y when x = 4.
Thus, the value of f(4) = 8.
The right answer is D. 8.
