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Karolina [17]
3 years ago
7

Write an equation that represents a vertical translation 7 units down of the graph of g(x)=|x|.

Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0

Answer: Ix+10I

Step-by-step explanation: To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10).

So,

g(x) = |x|

g(x+10) = |x+10| ... every x has been replaced with x+10

h(x) = g(x+10)

h(x) = |x+10|

We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph.

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Margo freezes 8 cups of strawberries if this is 2/3 of the total strawberries that she picked how many cups of strawberries did
Goryan [66]

Answer:

12 cups.

Step-by-step explanation:

Let x be the total cups of strawberries picked by Margo.

We have been given that Margo freezes 8 cups of strawberries and this is 2/3 of the total strawberries that she picked.

We need to find x such that 2/3 of x equals 8. We can represent this information in an equation as:

\frac{2}{3}x=8

Let us multiply both sides of our equation by 3.

3*\frac{2}{3}x=3*8

2x=24

Let us divide both sides of our equation by 2.

\frac{2x}{2}=\frac{24}{2}

x=12

Therefore, Margo picked 12 cups of strawberries.

5 0
3 years ago
The temperature of a mixture is decreasing by 5∘ every hour. When it was first mixed, its temperature was recorded at −20∘.
timofeeve [1]
What do i need to do to solve it?
3 0
2 years ago
What is the diameter of the following circle?<br>​
DochEvi [55]

Answer:

12

Step-by-step explanation:

diameter is 2r

r=6

6*2=12

6 0
3 years ago
Read 2 more answers
A 0.02 N push accelerates a table-tennis ball along a table at 8 m/s2 north. What is the mass of the ball?
photoshop1234 [79]
  • Force=0.02N=F
  • Acceleration=a=8m/s^2
  • Mass=m

According to Newton's second law

\\ \sf\longmapsto F=ma

\\ \sf\longmapsto m=\dfrac{F}{a}

\\ \sf\longmapsto m=\dfrac{0.02}{8}

\\ \sf\longmapsto m=0.0025kg

\\ \sf\longmapsto m=2.5g

Done

8 0
2 years ago
Which shows the graph of the solution set of 2x+3y≤6?
mel-nik [20]

Answer:

Option (a) is correct.

Step-by-step explanation:

 Given : equation  2x + 3y ≤ 6

We have to choose out of given option the graph that shows the graph of the solution set of 2x + 3y ≤ 6

Consider the given equation   2x + 3y ≤ 6

We first find the points where the equation cut x- axis and y-axis.

Thus,

For x - axis  put y = 0 ,

We get   2x + 3(0) ≤ 6 ⇒  2x  ≤ 6 ⇒ x ≤ 3

Thus, point (3,0)

For y - axis  put x = 0 ,

We get   2(0) + 3y ≤ 6 ⇒  3y  ≤ 6 ⇒ y ≤ 2

Thus, point (0,2)

For region we  choose a test point and find the value of x and y on that test point and  check whether it satisfy the inequality satisfies or not.

Consider the point (0, 0) , then inequality becomes,

2(0) + 3(0) ≤ 6  ⇒  0  ≤ 6 (true)

Hence, region below the line will be considered.

Thus, Option (a) is correct.

6 0
3 years ago
Read 2 more answers
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