Answer:
Step-by-step explanation:
4x - 2y = 5 -------------------------------(1)
y = 3x - 1 ----------------------------------(2)
Put Eq. (2) in (1)
4x - 2(3x-1) = 5
4x - 6x + 1 = 5
-2x + 1 = 5
Subtracting 1 to both sides
-2x = 5 - 1
-2x = 4
Dividing both sides by -2
x = 4 / -2
x = -2
Hope this helped!
Answer:
X = 7
Step-by-step explanation:
Please mark brainliest.
The geometric sequence among following is:
Option: B
8 , 4 , 2 , 1 , 1/2 , 1/4 ,.....
Geometric sequence--
A sequence is said to be a geometric sequence if each of the number in the sequence is a constant multiple of the preceding term in the sequence.
This constant multiple is known as the common ratio (r)
i.e. the sequence is given by:
a,ar,ar²,ar³,.....
A)
0,1,2,3,......
It is a arithmetic sequence and not a geometric sequence .
Since, each of the term is increasing by 1 as compared to the preceding term of the sequence.
B)
8,4,2,1,1/2,1/4,.....
It is a geometric sequence.
Since, each term of the sequence is a constant multiple of 1/2 of the preceding term of the sequence.
i.e. 8×(1/2)=4
4×(1/2)=2
2×(1/2)=1
1×(1/2)=1/2
and so on.
i.e. the common ratio is: 1/2
C)
-7,10,23,36,.....
This is not a geometric sequence.
Since,
but
D)
2,-3,9/2,-18/4
Here
but
Hence, it is not a geometric sequence.
Answer:
it would be d 60t
Step-by-step explanation:
Lea and Marie are washing all the windows in their house. It would take Lea 80 minutes to wash the windows by herself, and it would take Marie 60 minutes to wash them by herself. Lea creates a table so she can find out how long it will take to wash the windows if they work together. What is the missing value in the table that represents the rate for Marie?
A table showing Rate in part per minute, Time in minutes, and Part of Windows Washed. The first row shows Lea, and has StartFraction 1 Over 80 EndFraction, t, and StartFraction 1 Over 80 EndFraction t. The second row shows Marie, question mark, t, and StartFraction 1 Over 60 EndFraction t.
so if she and her friend would be washing all of the windows in their house then their house is 60 cm and 60 in so the answer would be 60t
Answer:
Dimensions of rectangle are length = 7 cm and width = 2 cm
Step-by-step explanation:
Let l = length and w = width of the rectangle.
Given that, length is 5 cm less than 6 times width. Rewriting it in equation form,
L = 6 w - 5 cm
Also given that area of rectangle is 14 cm²
Now using formula for area of rectangle,
Area of rectangle = length × width
Area of rectangle = l × w
Substituting the values,
14 = (6 w - 5) × w
Simplifying by using distributive rule,
14 = 6 w² - 5 w
To find the value of b, use the quadratic formula. So rewriting the equation in quadratic form ax²+bx+c=0
Subtracting 14 on both sides,
0 = 6 w² - 5 w - 14
Rewriting,
6 w² - 5 w - 14 = 0
Now applying quadratic formula,
Rewriting the formula in terms of w,
From the 6 w² - 5 w - 14 = 0, value of a = 6 , b = - 5 and c = - 14.
Substituting the values,
Simplifying,
Since √361 = 19,
There will be two values of w,
and
Simplifying,
and
and
Reducing the fraction in lowest form, divide first expression by 12 and second expression by 2.
and
Since the length of width cannot be negative, so value of w = 2 cm
To find the value of length, Use equation L = 6 w - 5 cm
L = 6 (2) - 5 cm
L = 12 - 5 cm
L = 7 cm
Therefore l = 7 cm and w = 2 cm are the dimensions of the rectangle.