Answer:
x = 3, 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients/Degrees
- Standard Form: ax² + bx + c = 0
- Multiple Roots
- Factoring
- Completing the Square: -b/(2a)
Step-by-step explanation:
<u>Step 1: Define</u>
x² - 8x + 15 = 0
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract 15 on both sides: x² - 8x = -15
- Complete the Square [Addition Property of Equality]: x² - 8x + 16 = -15 + 16
- [Complete the Square] Simplify: (x - 4)² = 1
- [Equality Property] Square root both sides: x - 4 = ±1
- [Addition Property of Equality] Add 4 on both sides: x = 4 ± 1
- Evaluate: x = 3, 5
At 08:00 there are 18 bags
At 08:10 there are an extra 10 produced = 28 but 1/2 are consumed leaving 14
At 08:20 there are an extra 10 produced = 24 but 1/2 are consumed leaving 12
At 08:30 there are an extra 10 produced = 22 but 1/2 are consumed leaving 11
At 08:36 another 6 have been produced = 17 bags
Math Find the Distance Between Two Points (3,4) , (-2,1)
(
3
,
4
)
(
3
,
4
)
,
(
−
2
,
1
)
(
-
2
,
1
)
Use the distance formula to determine the distance between the two points.
Distance
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Distance
=
(
x
2
-
x
1
)
2
+
(
y
2
-
y
1
)
2
Substitute the actual values of the points into the distance formula.
√
(
(
−
2
)
−
3
)
2
+
(
1
−
4
)
2
(
(
-
2
)
-
3
)
2
+
(
1
-
4
)
2
Simplify.
Tap for more steps...
√
34
34
The result can be shown in multiple forms.
Exact Form:
√
34
34
Decimal Form:
5.83095189
…
Answer:
the probability of drawing a pink rose from the bunch of roses is 25%
Step-by-step explanation:
assuming that each rose es equally likely to be chosen then the probability of picking one pink rose is
probability = number of pink roses / total number of roses = 3 / (5+3+2+2) = 3/12 = 0.25 (25%)
then the probability is 25%
If they can be multiplied or divided by the same number and they both have the same answer it is equivelent.
