Answer:
Range = (7,5,-1,-9)
Point 1 = ( -3, 7)
Point 2 = ( -2, 5)
Point 3 = ( 1, -1)
Point 4 = ( 5, -9)
Step-by-step explanation:
g(x)= 1-2x
The domain is x.
The range is y.
g(x) is the function.
To solve this you just input each number from the domain into the function.
g(x) = 1 - 2(-3)
-2 × -3 = positive 6
It is a positive because a negative multipled by a negative equals a positive. This means it is not 1-6 because it is not a negative, it would be 1+6.
1 + 6 = 7
g(x) = 1 -2(-2)
-2 × -2 = positive 4
1 + 4 = 5
g(x)= 1 - 2(1)
-2 × 1 = -2
Since it is multipled 1 time it will be -2. So the equation is still 1-2.
1 - 2 = -1
g(x)= 1 - 2(5)
-2 × 5= -10
A negative multipled by a positive is a negative.
1 - 10 = -9
Now that you have all the numbers put them in parentheses things like the domain
Range = {7,5,-1,-9}
To graph it you need to put in each point by finding the first number of the domain and range and that is your point.
The first point would be (-3,7) and so on and so forth.
Explanation: 3 x 2 + 10 x + 3 We can Split the Middle Term of this expression to factorise it. In this technique, if we have to factorise an expression like a x 2 + b x + c , we need to think of 2 numbers such that: N 1 ⋅ N 2 = a ⋅ c = 3 ⋅ 3 = 9 and, N 1 + N 2 = b = 10 After trying out a few numbers we get: N 1 = 9 and N 2 = 1 9 ⋅ 1 = 9 , and 9 + ( 1 ) = 10 3 x 2 + 10 x + 3 = 3 x 2 + 9 x + 1 x + 3 = 3 x ( x + 3 ) + 1 ( x + 3 ) ( 3 x + 1 ) ( x + 3 ) is the factorised form for the expression.
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
3
⋅
3
=
9
and,
N
1
+
N
2
=
b
=
10
After trying out a few numbers we get:
N
1
=
9
and
N
2
=
1
9
⋅
1
=
9
, and
9
+
(
1
)
=
10
3
x
2
+
10
x
+
3
=
3
x
2
+
9
x
+
1
x
+
3
=
3
x
(
x
+
3
)
+
1
(
x
+
3
)
(
3
x
+
1
)
(
x
+
3
)
is the factorised form for the expression.
Answer:
11.1
Step-by-step explanation:
Numerical expressions contain numbers, while algebraic expressions contain variables and numbers.
<u>Numerical Expression</u>
"Difference" indicates that we'll be subtracting 13 from 48.
48 - 13 = 35
<u>Algebraic Expression</u>
Variables represent the unknown number, in this case the difference between 48 and 13. Let d represent the difference between the two.
48 - 13 = d
35 = d
Answer:
1.6
Step-by-step explanation:
1.6
