Answer:
5.804
Step-by-step explanation:
5.804
^ ^ ^
After the thousands place is a 0, so the number for the thousands place would stay the same. If it were higher than 4, it would round to 5.805 (but it isnt so it's 5.804)
tens, hundreds, thousands
Answer:
96M&M's
Step-by-step explanation:
Given
Probability of picking a Red M&M = 1/2
Probability of picking a Green M&M = 1/2 of 1/2 = 1/4
Since;
Probability = number of possible outcome/total outcome
For green;
Total green(possible outcome) = 24
Probability of choosing green = 1/4
Substitute into the formula;
1/4 = 24/Total outcome
Cross multiply
Total outcome = 4×24
Total outcome = 96
Hence there are 96 M&M's altogether
Depending on what bird you would use centimeters and inches
Answer:
b) −3y2−2x+1
d) −4xy+4y2−y−10
Step-by-step explanation:
b) -4x <u>+ y2</u> <em>- 9</em> <em>+ 10</em> - x + 3x<u> - 4y2</u>
<u>(i have just underlined, italic and made it bold to show the like terms)</u>
-4x - x + 3x = -2x
y2 - 4y2 = -3y2
-9 + 10 = 1
-2x - 3y2 + 1
d) 0 - 20 <u>- 5xy</u> + 4y2 + 10 - y <u>+ xy</u>
<u>(i have just underlined, italic and made it bold to show the like terms, however the '-y' and '4y2' have no like terms)</u>
0 - 20 + 10 = - 10
-5xy + xy = - 4xy
-10-4xy+4y2-y
Answer:
x = 1 or -3/4
factoring is easier for me
Step-by-step explanation:
<u>Factoring</u>
We rewrite to ...
4x^2 -x -3 = 0
We want factors of (4)(-3) = -12 that have a sum of -1. They are -4 and 3. Then the factorization is ...
(4x -4)(4x +3)/4 = (x -1)(4x +3)
Solutions are values of x that make the factors zero: x = 1, x = -3/4.
__
<u>Completing the square</u>
We start by factoring the leading coefficient from the left side:
4(x^2 -x/4) = 3
Now, we add the square of half the x-coefficient (inside parentheses):
4(x^2 -x/4 +1/64) = 3 + 4/64
4(x -1/8)^2 = 49/16 . . . . . . . . . write as squares
x -1/8 = ±√(49/64) = ±7/8
x = 1/8 ± 7/8
x = -3/4 or +1
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<u>Preference</u>
In this instance <em>I prefer factoring</em>, because it deals with whole numbers up until the end. It does not involve adding and subtracting fractions. On this page, it takes fewer steps.
If you're unfamiliar with math facts, such as the factors of 12, then the purely mechanical "completing the square" method may be preferable. It does not require anything other than finding half of a number and then squaring that.
