Answer:
The answer for first one is,
a³
Answer for Second one is,
n.
Answer for 3rd one is.
-3y
Answer for number four.
x⁹
sorry couldn't answer number 5.
Answer:
The value of x = 13.5.
Step-by-step explanation:
<u>In this question x is missing.</u>
<u>So, the question would be:</u>
<u>tan 34° = x/20.</u>
Now, to find the value of 
:
Multiplying both sides by 20 we get:
On simplifying both sides we get:
So, to get the value of to nearest tenth is 13.5. As we see in hundredth place it is 9 and 4 in tenth place, so after rounding to tenth place 4 will change to 5 so the value is 13.5.
Therefore, the value of x = 13.5.
I don't see a b or an m in this function, but generally, a linear function is of the form ax+b. The b in this equation (not sure if it is the same as your b), controls the shift of the function. Lower b by 3, the graph shifts down by 3.
So unless there is a minus sign before b, it has to be lowered by 3. (If there is a minus sign, it has to be increased by 3).
Answer: D
Step-by-step explanation:
all possible rational zeros are the factors of the last term divided by the coefficient of the first term
so it's (±1, ±3, ±9) / (±1, ±2)
(±1, ±3, ±9) / ±1 = ±1, ±3, ±9
(±1, ±3, ±9) / ±2 = ±1/2, ±3/2, ±9/2
--> ±1, ±3, ±9, ±1/2, ±3/2, ±9/2
Answer:
- It is the last graph: solid line, shaded area over the line x = 2 - x/2
Explanation:
1) <u>Set the algebraigic expression that represents the combinations of sofa and pillow orders:</u>
- Number of sofas: x (given)
- Number of pillows: 2y (given, since they come in pairs)
- Number of items = number of sofas + number of pillows = x + 2y
- Minimum of 4 items in each order (given) ⇒ x + 2y ≥ 4
<u>2) Predict the graph of the inequality x + 2y ≥ 4</u>
- The border line is the equation x + 2y = 4
- You can choose two points to draw a line
- Choose the axis-intercepst:
x = 0 ⇒ 2y = 4 ⇒ y =4/2 ⇒ y = 2 ⇒ point (0,2)
y = 0 ⇒ x = 4 ⇒ point (4,0)
Then the lines goes through (0,2) and (4,0) ... [the four graphs meet this]
- The shading area is above the line because when you solve for y you get y ≥ 2 - x/2, and the line is included because the "equal to" part of the symbol (≥ means greater than or equal to).
- To state that the line is included the graph uses a continous line instead of a dotted one.
<u>3) Conclusion:</u>
That means that the correct graph is the last one: solid line, shaded area over the line y = 2 - x/2.
Note: a more detailed graph would include the fact that the items cannot be negative, i.e. x ≥ 0 and y ≥ 0, which would result in that the shaded area would be on the first quadrant.
