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3 years ago

(PLEASE HELP/NO SPAM) Which equation shows the function y=2^x translated 4 units left and 2 units down?

Mathematics

1 answer:

lianna [129]3 years ago

5 0

Answer:

The answer is (h).

Step-by-step explanation:

When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.

The function becomes

y = 2^(x+4) -2.

Finally, you shift -2 to the same side as y.

This becomes

y+2 = 2^(x+4) which is (h)

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Solve for x: 4(x-2)+6=2(5x-6)

Katarina [22]

4(x - 2) + 6 = 2(5x - 6) <em>use distributive property</em>

(4)(x) + (4)(-2) + 6 = (2)(5x) + (2)(-6)

4x - 8 + 6 = 10x - 12

4x - 2 = 10x - 12 <em>add 2 to both sides</em>

4x = 10x - 10 <em>subtract 10 from both sides</em>

-6x = -10 <em>divide both sides by (-6)</em>

x = 10/6

8 0

3 years ago

Is 5/6 close to 1, 0, or 1/2. Explain

Brums [2.3K]

5/6 is closest to 1 because it it 1/6 away from 1 and is 5/6 away from 0 and is 2/6 away from 1/2 (referring 1/2 as 3/6) Hope this helps!

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3 years ago

A large community college has professors and lecturers the total number of faculty members is 136.The school reported that they

Alona [7]

Answer:

Step-by-step explanation:

The ratio of professors to lecturers is ...

P : L = 6 : 11

Then the ratio of professors to total faculty is ...

P : (P+L) = 6 : (6+11) = 6 : 17

That is, professors make up 6/17 of the total faculty. Their number is ...

P = (6/17)·136 = 48

The Community College employs 48 professors.

4 0

3 years ago

Please help me my brain is so fried rn.

stiv31 [10]

My brain is too whyyy

8 0

2 years ago

Please help! will give brainliest !!

Veseljchak [2.6K]

Answer:

1, 2, 8, 128, 32768

Step-by-step explanation:

$recursive \: formula: \\ a _{n} = 2. {( a_{n - 1} )}^{2} \\ \\ a _{1} = 1...(given) \\ \\ a _{2} = 2. {( a_{2 - 1} )}^{2} = 2 {(a _{1} )}^{2} = 2 {(1)}^{2} \\ \\ a _{2} = 2\\ \\a _{3} = 2. {( a_{3 - 1} )}^{2} = 2 {(a _{2} )}^{2} = 2 {(2)}^{2} \\ \\ a _{3} = 8\\ \\a _{4} = 2. {( a_{4 - 1} )}^{2} = 2 {(a _{3} )}^{2} = 2 {(8)}^{2} \\ \\ a _{4} = 128\\ \\a _{5} = 2. {( a_{5 - 1} )}^{2} = 2 {(a _{4} )}^{2} = 2 {(128)}^{2} \\ \\ a _{5} = 32,768\\ \\$

Thus the first five terms are: 1, 2, 8, 128, 32768.

5 0

3 years ago