Answer: The range is [3, infinity).
Step-by-step explanation: The "[" means that it is apart of the graph. The ")" means it is not apart of the graph.
The graph's range (which is it's highest lowest to highest y-value), the lowest is 3 on the y axis, and then stems on to infinity. The reason why infinity is not apart of the graph is because it has no end and infinity is not a number.
Answer:
There is an 85% probability that the sprinkler head will be activated.
Step-by-step explanation:
We have these following probabilities:
50% of the first sprinkler being triggered
90% of the first sprinkler being reliable
50% of the second sprinkler being triggered
80% of the second sprinkler being reliable.
What is the probability that the sprinkler head will be activated?
is the probability of the first sprinkler being triggered and activated. So:
is the probability of the second sprinkler being triggered and activated. So:
There is an 85% probability that the sprinkler head will be activated.
y = 4x + 7
This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The slope of this line is 4. Parallel lines have the same slope, thus a line not parallel to this line will not have a slope of 4. Let's check which of these lines does not have a slope of 4.
y - 4x = 9
y = 9 + 4x (add 4x to both sides)
y = 4x + 9 (switch the constant and x-term)
This line has a slope of 4.
4x - y = 8
-y = 8 - 4x (subtract 4x from both sides)
y = -8 + 4x (divide both sides by -1)
y = 4x - 8 (switch the constant and x-term)
This line has a slope of 4.
4y - x = 8
4y = 8 + x (add x to both sides)
y = 8/4 + x/4 (divide both sides by 4)
y = x/4 + 2 (simplify and switch constant and x-term)
This line has a slope of 1/4. It is thus not parallel to the line y = 4x + 7.
Answer:
4y - x = 8
Answer:
=14
Step-by-step explanation:
In a rhombus, opposite angles are equal.
In the one provided in the question, 5x° is opposite the angle 70°
Let us equate the two.
5x=70
x=70/5
=14°
The value of x in the figure is 14°
Answer:
The correct options are (1), (3) and (5).
Step-by-step explanation:
The two triangles are shown below.
The measure of ∠F corresponds to ∠F'.
The distance between the points D and origin is of 9 units.
And the distance between the points D' and origin is 3 units.
Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.
Check for similarity:
Thus, the △DEF is similar to △D'E'F'.
Thus, the correct options are (1), (3) and (5).
