Answer:
x = - 1/6 + √-119/6, and, - 1/6 - √-119/6
Step-by-step explanation:
Using the quadratic formula which is: - b ± √b² - 4ac / 2a
a = 3, b = 1, c = 10
- 1 ± √1² -4 * 3 * 10 / 2 * 3
- 1 ± √1 - 120 / 6
-1 ± √-119 / 6
= -1/6 + √119/6, or - 1/6 - √-119/6
Answer:
Please see the attached image for solution.
Step-by-step explanation:
Cent: Rounding to the nearest cent or multiple of 0.01.
Dime: Rounding to the nearest 10 cents or multiple of 0.10.
Dollar: Rounding to the nearest dollar or multiples of 1.
For example, in question #21:
To round $12.3456 to the nearest cent: you must look at the hundredths place, and pay attention to the digit to its right. In this case, the digit at the hundredths place is 4, and to its right is 5. Therefore, you must round it up to 5, making it $12.3<u>5</u>.
To round $12.3456 to the nearest dime: you must look at the tenths place, and pay attention to the digit to its right. In this case, the digit at the tenths place is 3, and to its right is 4. Since 4 is less than 5, you must round 4 down to 0, making it into $12.<u>3</u>0.
To round $12.3456 to the nearest dollar: you must look at the ones place, and pay attention to the digit to its right. In this case, the digit at the ones place is 2, and to its right is 3. Since 3 is less than 5, you must round 3 down to 0, making it into $1<u>2</u>.00.
Answer:
a. D and E are similar but not congruent.
Step-by-step explanation:
Let's analyse each statement and determine which is true about the 3 given quadrilaterals:
a. "D and E are similar but not congruent." TRUE.
D is similar to E because, every segment of D is proportional to the corresponding segments of E. The ratio of their corresponding segments are equal.
D and E are not congruent because their segments are not of equal length. Thus, they have the same shape but different sizes.
b. "E and F are similar and congruent." NOT TRUE.
E and F has the same size, hence they are congruent. However, they are not similar, because they don't have the same shape. Their corresponding lengths are not proportional.
c. "D and E are similar and congruent." NOT TRUE.
Since statement (a) is TRUE, statement (c) cannot be true.
D and E are similar because they have the same shape and the ratio of their corresponding sides are the same. D and E are not congruent, because they are not of the same size.
d. "F and D are similar but not congruent." NOT TRUE.
F and D has the same size but the ratio of their corresponding sides are not the same.
Answer:
7x^2 -28x +28
Step-by-step explanation:
7(x - 2)^2
7 ( x-2)(x-2)
Foil
7 ( x^2 -2x-2x+4)
Combine like terms
7( x^2 -4x+4)
Distribute
7x^2 -28x +28
Simple,
Total=$82.50
Total Hours Worked= 7.5
82.50/7.5=11
Thus, your hourly rate of pay, is $11.
