Answer:
(
f
+
g
)
(
x
)
=
3
x
2
+
x
+
2
Explanation:
(
f
+
g
)
(
x
)
=
f
(
x
)
+
g
(
x
)
:
(
f
+
g
)
(
x
)
=
3
x
2
−
x
+
5
+
2
x
−
3
Add like terms:
(
f
+
g
)
(
x
)
=
3
x
2
+
(
−
x
+
2
x
)
+
(
5
−
3
)
(
f
+
g
)
(
x
)
=
3
x
2
+
x
+
2
(
f
+
g
)
(
x
)
=
3
x
2
+
x
+
2
Explanation:
(
f
+
g
)
(
x
)
=
f
(
x
)
+
g
(
x
)
:
(
f
+
g
)
(
x
)
=
3
x
2
−
x
+
5
+
2
x
−
3
Add like terms:
(
f
+
g
)
(
x
)
=
3
x
2
+
(
−
x
+
2
x
)
+
(
5
−
3
)
(
f
+
g
)
(
x
)
=
3
x
2
+
x
+
2
(
f
+
g
)
(
x
)
=
3
x
2
+
x
+
2
Explanation:
(
f
+
g
)
(
x
)
=
f
(
x
)
+
g
(
x
)
:
(
f
+
g
)
(
x
)
=
3
x
2
−
x
+
5
+
2
x
−
3
Add like terms:
(
f
+
g
)
(
x
)
=
3
x
2
+
(
−
x
+
2
x
)
+
(
5
−
3
)
(
f
+
g
)
(
x
)
=
3
x
2
+
x
+
2
Step-by-step explanation:
Answer:
the last one
maybe?
Step-by-step explanation:
Answer:
C. 
A. First Picture
Step-by-step explanation:
We are given the inequality, 
.
On simplifying the inequality, we get,
i.e.
i.e. 
i.e. 
So, we get the correct representations of the inequality are,
C.
A. the First Picture
Answer: x = 5/2 = 2.5
Step-by-step explanation:
<u>Given expression</u>
2x (x + 3) = 2x² + 15
<u>Expand parentheses and apply the distributive property</u>
2x · x + 2x · 3 = 2x² + 15
2x² + 6x = 2x² + 15
<u>Subtract 2x² on both sides</u>
2x² + 6x - 2x² = 2x² + 15 - 2x²
6x = 15
<u>Divide 6 on both sides</u>
6x / 6 = 15 / 6
x = 15/6
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Option A) Discrete and quantitative
Step-by-step explanation:
We are given the following situation in the question:
In a study of the effect of handedness on athletic ability.
Variable 1: Handedness - right-handed, left-handed, and ambidextrous
Variable 2: Athletic ability measured on a 12-point scale.
Dependent Variable:
- The dependent variable is the response variable and its value depends on the independent variable.
- A change in independent variable leads to a change in the dependent variable.
For the given case the athlete ability is the dependent variable that depends on the independent variable of handedness.
Athletic ability is measured on a 12 point scale. thus, it can take numerical values from 0 to 12.
Thus, it is a quantitative variable.
Since theses values are always expressed in whole numbers and not in decimals so they cannot take all the values within an interval.
Thus, it is a discrete variable.
Option A) Discrete and quantitative
