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marysya [2.9K]
3 years ago
11

On interchanging two digits of the number 2643, it decreased by 180. Which two digits of 2643 might have been interchanged?

Mathematics
1 answer:
iris [78.8K]3 years ago
8 0
Answer: D. 6 and 4

Explanation:

2643 - 180 = 2463 the 6 changes to a 4, and the 4 changes to a 6.
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4.5 • 20 = 90
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How do you graph a solution set of an inequality that only has whole numbers
fomenos

Answer:

Step-by-step explanation:

A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality.

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2x + 3 ≤ 7

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3 years ago
13. Write
Bingel [31]

First off, we factor out the expression:

\displaystyle \large{y = 2 {x}^{2}  - 12x + 16} \\  \displaystyle \large{y = 2 ( {x}^{2} - 6x + 8) }

In the bracket, separate 8 out of the expression.

\displaystyle \large{y = 2[ ( {x}^{2} - 6x + 8)] }\\  \displaystyle \large{y = 2[ ( {x}^{2} - 6x) + 8]}

In x^2-6x, find the third term that can make up or convert it to a perfect square form. The third term is 9 because:

\displaystyle \large{ {(x - 3)}^{2}  =  {x}^{2}  - 6x + 9}

So we add +9 in x^2-6x.

\displaystyle \large{y = 2[ ( {x}^{2} - 6x + 9)  + 8]}

Convert the expression in the small bracket to perfect square.

\displaystyle \large{y = 2[  {(x - 3)}^{2}   + 8]}

Since we add +9 in the small bracket, we have to subtract 8 with 9 as well.

\displaystyle \large{y = 2[  {(x - 3)}^{2}   + 8 - 9]} \\  \displaystyle \large{y = 2[  {(x - 3)}^{2}   - 1]}

Then we distribute 2 in.

\displaystyle \large{y = 2[  {(x - 3)}^{2}   - 1]} \\

\displaystyle \large{y = 2[  {(x - 3)}^{2}   - 1]} \\ \displaystyle \large{y = [2 \times  {(x - 3)}^{2} ]+[ 2 \times ( - 1)] } \\ \displaystyle \large{y = 2 {(x - 3)}^{2}  - 2 }

Remember that negative multiply positive = negative.

Hence the vertex form is y = 2(x-3)^2-2 or first choice.

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3 years ago
Jaye walked 50 dogs this week. 40% of the dogs were brown. How many of the dogs were brown?
RoseWind [281]

Answer: 30

Step-by-step explanation:

50x .4 = 20

50-20=30

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