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Slav-nsk [51]
1 year ago
15

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
larisa [96]1 year ago
4 0

there are two correct options:

  • A translation of 6 units down: g(x) = f(x) - 6
  • A translation of 2 units to the right: g(x) = f(x - 2).

<h3>How to relate the function g(x) to the function f(x)?</h3>

We know that:

f(x) = 3x + 1

Now, if we look at the graph of f(x), we can see that the y-intercept is at y = -5, and for each increase in one unit in the x-variable, there is an increase of 3 units in the y-variable.

Then the equation of g(x) is:

g(x) = 3*x - 5

Then g(x) is a translation downwards of 6 units, such that:

g(x) = f(x) - 6 = (3x + 1) - 6 = 3x - 5

And we also could write it as a horizontal translation of 2 units to the right:

g(x) = f(x - 2) = 3*(x - 2) + 1 = 3*x - 3*2 + 1 = 3x - 5

So there are two correct options:

  • A translation of 6 units down: g(x) = f(x) - 6
  • A translation of 2 units to the right: g(x) = f(x - 2).

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

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A cellular phone is in the shape of rectangular prism. The height of the phone is 6 millimeters, and the width is 50 millimeters
Bas_tet [7]

Answer: 75ml

Step-by-step explanation:

The volume of a rectangular prism is:

= Length × width × height

where,

Volume = 22500ml³

Length = Unknown

Width = 50ml

Height = 6ml

We then slot the values into the formula.

Volume = Length × width × height

22500 = Length × 50 × 6

22500 = Length × 300

Length = 22500/300

Length = 75ml

The length of the cellular phone is 75ml.

5 0
2 years ago
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio
adoni [48]

Answer:

a : b = 4 : 3

Step-by-step explanation:

(mark as brainlist answer)

According to the given condition is the question :

Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b

⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)

⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)

⇒ 0.15a + 0.12b = 0.12a + 0.16b

⇒ 0.03a = 0.04b

⇒ a/b = 4/3

⇒ a : b = 4 : 3

8 0
3 years ago
Solve for m 13x - 10<br> M<br> N<br> 7x - 10
lisov135 [29]

Answer:

x = 10

Step-by-step explanation:

Given:

Arc LM = 13x - 10

Arc MN = 7x - 10

Required:

Solve for x

Solution:

Recall: half a circle = 180°

Therefore,

Arc LM + Arc MN = 180°

13x - 10 + 7x - 10 = 180

Add like terms

20x - 20 = 180

20x - 20 + 20 = 180 + 20

20x = 200

20x/20 = 200/20

x = 10

7 0
2 years ago
Harvey has $390 in a savings account that earns 6% simple interest each year. How much interest will Harvey earn in 2 years, ass
Ganezh [65]

Answer:

Step-by-step explanation:is 6/10

6 0
3 years ago
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Two bicycles head toward each other from opposite ends of a freeway 468 kilometers long. If the speed of the first bicycle is 22
Aneli [31]
468/(22+17)=12 hours
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6 0
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