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In-s [12.5K]
3 years ago
13

A student graphed function f(x) =( x+2)² - 5. How would the new function be written if it is translated 3 units to the right, sh

ifted 2 units down and vertically stretched by a factor of 2?
Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Answer:

f(x)=2(x-3)-2

Step-by-step explanation:

when you hear if it translate to the right, it mean subtract " - "

so translate 3 unit right, it mean minus 3.

and same if translate left, it mean add, "+"

But if it mean shift down, it mean minus -

and if it mean shift up, it mean add +

so shift down 2 unit, mean -2

stretch factor of 2, mean multiply by 2

I hope this help! Im gonna explain further more if you have any question☺

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Rodger has $2.30 in dimes and nickels. They're five more dimes than nickels. Find the number of each kind of coin that he has​
Neporo4naja [7]

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3 years ago
What is x+3y=-11 -9y=33+3x in college algebra
slavikrds [6]
<span>x + 3y= -11 (1)
</span><span>-9y = 33 + 3x  ---->3x + 9y = -33 (2)

divide (2) equation by 2
</span>3x + 9y = -33
  x + 3y = -11 (2')
and equation (1) is also x + 3y= -11 (1)
so
x + 3y= -11 (1)
x + 3y= -11 (2')
---------------------subtract
0 = 0

answer:
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<span>

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8 0
4 years ago
Paul bought 2.25 meters of wood to make 5 shelves of equal length . What is the length of each shelf ? show your work on a picec
LiRa [457]

Answer:

Length of each shelf is 0.45 meters

Step-by-step explanation:

Given

Total\ Length = 2.25\ meters

Shelves = 5

Required

Determine the length of each shelf

This is calculated by dividing the total length by number of shelves as thus:

Length = Total\ Length/Number\ of\ Shelf

Length = 2.25m /5

Length = 0.45m

Hence;

<em>Length of each shelf is 0.45 meters</em>

3 0
3 years ago
Read 2 more answers
Of all customers purchasing automatic garage-door openers, 75% purchase Swedish model. Let X = the number among the next 15 purc
Lelechka [254]

Answer:

a)

P(X=k) = {15 \choose k} * 0.75^{k}*0.25^{15-k}

For any integer k between 0 and 15, and 0 for other values of k.

b)

P(X>10) = 0.2252+ 0.2252+ 0.1559+0.0668+0.0134 = 0.6865

c) P(6 ≤ X ≤ 10) = 0.2737

d)  μ = 15*0.75 = 11.25. σ² = 11.25*0.25 = 2.8125

Step-by-step explanation:

X is a binomial random variable with parameters n = 15, p = 0.75. Therefore

a)

P(X=k) = {15 \choose k} * 0.75^{k}*0.25^{15-k}

For any integer k between 0 and 15, and 0 for other values of k.

b)

P(X>10) = P(X=11) + P(X=12)+ P(X=13)+P(X=14)+P(x=15)

P(X=11) = {15 \choose 11} * 0.75^{11} * 0.25^4 = 0.2252

P(X=12) = {15 \choose 12} * 0.75^{12} * 0.25^3 = 0.2252

P(X=13) = {15 \choose 13} * 0.75^{13} * 0.25^2 = 0.1559

P(X=14) = {15 \choose 14} * 0.75^{14} * 0.25 = 0.0668

P(X=15) = {15 \choose 15} * 0.75^{15} = 0.0134

Thus,

P(X>10) = 0.2252+ 0.2252+ 0.1559+0.0668+0.0134 = 0.6865

c) P(6 ≤ X ≤ 10) = P(X = 6) + P(X = 7) + P(X = 8) + P(X=9) + P(X=10)

P(X=6) = {15 \choose 6} * 0.75^{6} * 0.25^9 = 0.0034

P(X=7) = {15 \choose 7} * 0.75^{7} * 0.25^8 = 0.0131

P(X=8) = {15 \choose 8} * 0.75^{8} * 0.25^7 = 0.0393

P(X=9) = {15 \choose 9} * 0.75^{9} * 0.25^6 = 0.0918

P(X=10) = {15 \choose 10} * 0.75^{10} * 0.25^{5} = 0.1652

Thereofre,

P(6 \leq X \leq 10) = 0.0034 + 0.0134 + 0.0393 + 0.0918 + 0.1652 = 0.2737

d)  μ = n*p =  15*0.75 = 11.25

σ² = np(1-p) = 11.25*0.25 = 2.8125

3 0
3 years ago
A store has a 10% off sale on pants. With this discount, the price of one pair of pants before tax is $17.10 What was the origin
Leno4ka [110]

Answer:

$171

Step-by-step explanation:

A store has a 10% off sale on pants. With this discount, the price of one pair of pants before tax is $17.10 What was the original price of the pants?

Let x represent the original price of the pair of pants

From the question, we know that:

10% of x = $17.10

10/100 × x = $17.10

10x/100 = $17.10

Cross Multiply

10x = 100 × $17.10

10x = 1710

x = 1710/10

x = $171

Hence, the original price of the pants = $171

6 0
3 years ago
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