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ANEK [815]
3 years ago
12

The graph shows g(x), which is a translation of f(x)=|x|. Write the function rule for g(x).

Mathematics
1 answer:
Kay [80]3 years ago
8 0

Answer:

  g(x) = |x| -9

Step-by-step explanation:

In the form ...

  g(x) = a|x -h| +k

the parameters are ...

  • a: the vertical scale factor (1)
  • h: the right shift of the vertex (0)
  • k: the upward shift of the vertex (-9)

The vertex of |x| is (0, 0). The vertex of g(x) is (0, -9), so there has been a vertical shift of -9 and no horizontal shift. The slopes of the lines on the graph of g(x) have a magnitude of 1, so the vertical scale is not changed from the original function (a=1).

Then the translated function is ...

  g(x) = |x| -9

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A child should no longer use a booster seat when they reach 4'9" tall. Jannet is 59 inches tall can she go without a booster sea
Alisiya [41]

Answer:

Yes

Step-by-step explanation:

4'9" is 57 inches. Jannet is taller than that, so should go without a booster seat.

___

<em>Feet to Inches</em>

1 foot is 12 inches, so 4 feet is 4×12 = 48 inches. Adding 9 inches to that gives ...

... 4' 9" = 57 inches

4 0
3 years ago
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Plz help with number 8!
Volgvan
The other endpoint is (-8, 11)
3 0
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Two factories — Factory A and Factory B — design batteries to be used in mobile phones. Factory A produces 60% of all batteries,
elena-s [515]

Answer:

Probability that a battery is both made by Factory A and defective is 0.012 or 1.2%.

Step-by-step explanation:

We are given that Two factories — Factory A and Factory B — design batteries to be used in mobile phones. Factory A produces 60% of all batteries, and Factory B produces the other 40%.

2% of Factory A's batteries have defects, and 4% of Factory B's batteries have defects.

Let the Probability that factory A produces batteries = P(A) = 0.60

Probability that factory B produces batteries = P(B) = 0.40

<em>Also, let D = event that battery is defective</em>

Probability that batteries have defects given that it is produced by Factory A = P(D/A) = 0.02

Probability that batteries have defects given that it is produced by Factory B = P(D/B) = 0.04

Now, <u>probability that a battery is both made by Factory A and defective</u> = Probability that factory A produces batteries \times Probability that batteries have defects given that it is produced by Factory A

                       =  P(A) \times P(D/A)

                       =  0.60 \times 0.02 = 0.012  or  1.2%

Therefore, the probability that a battery is both made by Factory A and defective is 1.2%.

4 0
3 years ago
Can you help me im confused on all of it
irina [24]

1360÷282 = 4.82

Rounded: 5

The dead sea is 5 times more deep than the death valley.

7 0
3 years ago
What are the types of transformations in 8th grade Pre-Algebra?
lianna [129]
Translation: every point of the pre-image is moved the same distance in the same direction to form the image.

Rotation: transformation that is performed by spinning the object around a fixed point known as the center of rotation.

Reflection: a flip of an object over a line

HOPE THIS HELPS!!!
7 0
3 years ago
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