Solve using substitution technique; -3x+y=2, 12x-4y=-8
Answers
The first equation is easier to solve for y than is the 2nd: y = 3x+2. Subst. 3x+2 for y in the second equation:
12x - 4(3x+2) = -8
Expanding, 12x =12x -8 = -8
This is always true, no matter the value of x. Thus, the solution set is "all real numbers."
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What is 443,219 rounded to the nearest ten thousand
Answers
Answer:
C
Step-by-step explanation:
Given
x² = 7x - 3 ( subtract 7x - 3 from both sides )
x² - 7x + 3 = 0 ← in standard form
with a = 1, b = - 7, c = 3
Using the quadratic formula to solve for x
x = ( - (- 7) ± ) / 2
= ( 7 ± ) / 2
= → C
Answers
The carnival made $1,672 selling cotton candy if a carnival snack booth made $76 selling popcorn in 1 day it made 22 times as much selling cotton candy.
What is an arithmetic operation?
It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
A carnival snack booth made $76 selling popcorn in 1 day it made 22 times as much selling cotton candy.
= 76x22
= 1672
Thus, the carnival made $1,672 selling cotton candy if a carnival snack booth made $76 selling popcorn in 1 day it made 22 times as much selling cotton candy.
Learn more about the arithmetic operation here:
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Answers
No , the y-values of a data set cannot have both a common difference and a common ratio at the same time.
What is Arithmetic and geometric progression?
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
Thus nth term of an AP series is Tn = a + (n - 1) d
d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
Given data ,
A common difference means that the difference between any two consecutive y-values in the data set is the same. For example, if the first y-value is 3 and the common difference is 2, then the second y-value would be 5 (3 + 2), the third y-value would be 7 (5 + 2), and so on. This creates a linear relationship between the y-values.
And , a common ratio means that the ratio between any two consecutive y-values in the data set is the same. For example, if the first y-value is 3 and the common ratio is 2, then the second y-value would be 6 (3 x 2), the third y-value would be 12 (6 x 2), and so on. This creates an exponential relationship between the y-values.
Hence , a linear relationship and an exponential relationship are different, it is not possible for the y-values of a data set to have both a common difference and a common ratio at the same time.
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Answers
Answer:
1193
Step-by-step explanation:
If the number of students decreased to 98% of last years total, the total students decrease by:
The amount of students decreased by 2% from the previous years total. We can then determine the amount of students that we 2% of the current total. We first convert 2% into a fraction:
Therefore:
So in order to get this years total we must add 23.4 to this years total:
There were 1193 students last year
98%=.98
.98x=1170
x=1170/.98
x=1194
Answers
Answers
54
198
* 6
———
1188
(1*1000)*(1*100)*(8*10)*(8*1)=1188