Answer:
3x+75=180
3x=180-75
3x=105
x=105/3
x=35
The slope will be -1/2. If you put it into slope intercept form of y=mx+b, mx will always be the slope.
Answer:
Domain: (
−
∞
,
∞
)
, {
x
|
x
∈
R}
Range: (
−
∞
,
∞
)
, {
y
|
y
∈
R}
Step-by-step explanation:
We can simplify to understand how to answer the question better.
<em>5 * 11x = 55x</em>
<u>Function range definition:</u><u> </u>
The set of values of the dependent variable for which a function is defined.
- The range of polynomials with odd degree is all real numbers.
<u>So the solution is.. </u>
-∞<x<
∞
<u>And the interval notation is..</u>
(-
∞.
∞)
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
The shortest possible height of tower is 24 cm.
Tim used 4 blue blocks and his brother used 3 green blocks.
Step-by-step explanation:
Given,
Height of blue block = 6 cm
Height of green block = 8 cm
We will take least common multiple to find the shortest possible height.
6 = 2*3
8 = 2*2*2
LCM = 2*2*2*3 = 24 cm
The shortest possible height of tower is 24 cm.
Number of blue blocks used = 
Number of green blocks used = 
Tim used 4 blue blocks and his brother used 3 green blocks.
Keywords: LCM, multiplication
Learn more about multiplication at:
#LearnwithBrainly
