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3 years ago

What steps would you follow to graph the inequality statement? -4 ≥ -w

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

8 0

Answer:

The answer is c because it it placed on a positive 4

Step-by-step explanation:

AfilCa [17]3 years ago

4 0

A. place a closed circle on -4 and shade to the right.

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Calculate the average rate of change of f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6. A) -163 18 B) -18 163 C) 163 18 D) 18 163

larisa86 [58]

To solve this we are going to use the average rate of change formula: $A(x)= \frac{f(b)-f(a)}{b-a}$
where
$A(x)$ is the average rate of change of the function
$f(a)$ is the position function evaluated at $a$
$f(b)$ is the position function evaluated at $b$
$a$ is the first point in the interval
$b$ is the second point in the interval

We can infer for our problem that the first point is 3 and the second point is 6, so $a=3$ and $b=6$ . Lets replace those values in our formula:
$A(x)= \frac{f(b)-f(a)}{b-a}$
$A(x)= \frac{f(6)-f(3)}{6-3}$
$A(x)= \frac{6-6^2-2-(3-3^2-2)}{3}$
$A(x)= \frac{-32-(-8)}{3}$
$A(x)= \frac{-32+8}{3}$
$A(x)= \frac{-24}{3}$
$A(x)=-8$

We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6 is -8

3 0

3 years ago

Read 2 more answers

The number of hours Linda sleeps eachnight for two weeks is shown. Find themean absolute deviation, rounding tothe nearest whole

uysha [10]

To do this add all the numbers up then divide it by the amount of numbers there are

8 0

3 years ago

Which of the following represents a relation that is NOT a function? A. X 7 -5 10 -7 Y 34 32 40 34 B. X -7 -5 -7 2 Y 34 32 40 34

Nostrana [21]

The x-value of -7 shows up more than once in relation ...
B. X -7 -5 -7 2 Y 34 32 40 34

_____
When there is more than one y-value for an x-value, the relation is NOT a function.

8 0

3 years ago

Here's a question ~

Gre4nikov [31]

Answer:

(0, 5√3/2 + 2)

Step-by-step explanation:

Given is the absolute value function.

Observations:

It has a slope of ±√3 and the y- intercept of 2.
There is no horizontal shift, so the the y-axis is the line of symmetry.
The y-axis is also an angle bisector of the two lines.
The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.

We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).

Consider the triangle AYP₂.

We know AP₂ = 5.

The angle YAP₂ is:

arctan (1/√3) = 30°

The distance AY is:

AY = AP₂ cos 30° = 5*√3/2

The distance from the x-axis to the point Y is:

5√3/2 + 2, added the y- intercept of the graphed lines

The coordinates of the point Y:

(0, 5√3/2 + 2)

3 0

3 years ago

Let ABCDEFGH be a cube and M the midpoint of GH. It is known that the distance between the lines BM and AD is a<img src="https:/

vovikov84 [41]

Answer:

√5

Step-by-step explanation:

We suppose the vertices are named clockwise around the top of the cube, then clockwise around the bottom (looking down from above the cube), with vertex E below vertex D. Then line AD is in plane ADEF, and line BM is in plane BCHG.

The distance between the named parallel planes is the distance between the lines. That distance is AB, which is given as √5.

_____

A diagram helps.

8 0

3 years ago