Answer:
Step-by-step explanation:
y=2x-3
linear function, screenshot attached

Let one of those even numbers be x, Then other even number would be x + 2.
<u>According</u><u> </u><u>to</u><u> </u><u>question</u><u>,</u>
⇛ Their reciprocal add upto 3/4
<u>So</u><u>,</u><u> </u><u>we</u><u> </u><u>can</u><u> </u><u>write</u><u> </u><u>it</u><u> </u><u>as</u><u>,</u>
⇛ 1/x + 1/x + 2 = 3/4
⇛ x + 2 + x / x(x + 2) = 3/4
⇛ 2x + 2 / x² + 2x = 3/4
<u>Cross</u><u> </u><u>multiplying</u><u>,</u>
⇛ 3(x² + 2x) = 4(2x + 2)
⇛ 3x² + 6x = 8x + 8
⇛ 3x² - 2x - 8 = 0
⇛ 3x² - 6x + 4x - 8 = 0
⇛ 3x(x - 2) + 4(x - 2) = 0
⇛ (3x + 4)(x - 2) = 0
Then, x = -4/3 or 2
☃️ It can't be -4/3 because it is fraction and negative number. So, x = 2
Then, x + 2 = 4
✤ <u>So</u><u>,</u><u> </u><u>The</u><u> </u><u>even</u><u> </u><u>numbers</u><u> </u><u>are</u><u> </u><u>2</u><u> </u><u>and</u><u> </u><u>4</u><u>.</u>
<u>━━━━━━━━━━━━━━━━━━━━</u>
Answer:
Assume that the formula is true for the (k+1)term
Step-by-step explanation:
I learned this in class a couple weeks ago in intermediate algebra
256,000-2.56*100,000
Since there are 6 digits in 256,000, it is 2.56*100,000 becuase 100,000 also has 6 digits.
2.56*100,000=2.56*10^5
Since there are 5 zeroes in 100,000, it is 10^5.
256,000=2.56*100,000=2.56*10^5
First box: 100,000
Second box: 5
Carats, known as ct, is a measure of weight used for gemstones.One carat is equal to 1/5 of a gram (200 milligrams). Stones are measured to the nearest hundredth of a carat. So, the equation would be as follows:
m = c x 200
where m is the mass in units of milligrams and c is the weight in units of carats.
Hope this helped. Have a nice day.