98. Solve the equation -49 = x - 50
x=1?
94. Determine if the following equation is a function: x=2
No?
92. Determine if the following equation is a function: y=5
No?
89. Solve for x in the equation:
6/7x - 6 = -2
I got x=28/3
86. Does the following set of coordinates make a horizontal, vertical, or diagonal line when connected with a straight line? (2,2), (5,2)
a. horizontal
b. diagonal
c. vertical
d. none of the above
A
82. True or False: A function is a relation.
This is a little confusing...
81. If f(x) = 2x + 1, then f(-2)=_____.
-3?
78. If f(x) = 3x - 5, then f(2) = _____.
1?
Write an algebraic expression for the sum of b and --
B+11
92, yes, y=5 is a function.
82, a function is a relation, but not all relations are functions.
89 I cant tell what the problem is without grouping symbols.
All others right.
Thank you :)
98. -49 = x - 50
add 50 to both sides
x = 1
94. no (vertical line is not a function)
92. yes (horizontal line is a function)
89. (6/7)x - 6 = -2
add 6 to both sides
= (6/7)x = 4
multiply both sides by (7/6)
= x = 28/6
86. a. horizontal
the y values are the same, so when they are connected, it makes a horizontal line
82. True, a function is a relation
81. f(-2) = 2(-2) + 1
= -4 + 1
= 3
78. f(2) = 3(2) - 5
= 6 - 5
= 1
5(a-5b)-3(-6a+b)
23a-28b
To solve the equation -49 = x - 50, you need to isolate the variable x. Start by adding 50 to both sides of the equation:
-49 + 50 = x - 50 + 50
1 = x
So the solution is x = 1.
To determine if the equation x = 2 is a function, you check if there is a unique y-value corresponding to each x-value. In this case, x = 2 does not provide any information about y, so it is not a function.
Similarly, for the equation y = 5, there is no relation to x. Every y-value is 5, regardless of the x-value. Therefore, it is also not a function.
To solve for x in the equation (6/7)x - 6 = -2, you can start by adding 6 to both sides of the equation:
(6/7)x - 6 + 6 = -2 + 6
(6/7)x = 4
Next, multiply both sides by the reciprocal of 6/7, which is 7/6:
(7/6)(6/7)x = (7/6)(4)
x = 28/3
So the solution is x = 28/3.
The set of coordinates (2,2) and (5,2) creates a horizontal line because the y-values remain constant (2) while the x-values increase. Therefore, the answer is a. horizontal.
In terms of mathematical definitions, a function is a type of relation. So the statement "A function is a relation" is true.
To find f(-2) in the function f(x) = 2x + 1, simply substitute -2 for x in the equation:
f(-2) = 2(-2) + 1
f(-2) = -4 + 1
f(-2) = -3
Therefore, f(-2) equals -3.
Following the same process for f(2) in the function f(x) = 3x - 5:
f(2) = 3(2) - 5
f(2) = 6 - 5
f(2) = 1
So, f(2) equals 1.
The algebraic expression for the sum of b and 11 is b + 11.