Answer:
Option (B)
Step-by-step explanation:
There are two lines on the graph representing the system of equations.
First line passes through two points (-3, 1) and (-2, 3).
Slope of the line = 
= 
m = 2
Equation of the line passing through (x', y') and slope = m is,
y - y' = m(x - x')
Equation of the line passing through (-3, 1) and slope = 2 will be,
y - 1 = 2(x + 3)
y = 2x + 7 ----------(1)
Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.
Let the equation of this line is,
y = mx + b
Slope 'm' =
= 
= -3
Here 'b' = 1
Therefore, equation of the line will be,
y = -3x + 1 ---------(2)
From equation (1) and (2),
2x + 7 = -3x + 1
5x = -6
x = 
x = 
From equation (1),
y = 2x + 7
y = 
= 
= 
= 
Therefore, exact solution of the system of equations is 
.
Option (B) will be the answer.
Answer:
2.57 x 10^(-5)
Step-by-step explanation:
you have to move the comma sign in front of the first number considering 0 as a non-number.
Answer:
f(x) = x + 9
Step-by-step explanation:
y = f(x) + C C > 0 moves it up
To shift it up 9 units
f(x) = x + 9
Answer:
A. She wrote 19 numbers
B. She wrote 12 numbers
C. She wrote 29 digits
Step-by-step explanation:
To find haw many numbers from x to y subtract x and y and then add 1
- Ex: There are 6 numbers from 1 to 6 because (6 - 1) + 1 = 6 (1, 2, 3, 4, 5, 6)
To find how many numbers between x and y subtract x and y then subtract 1
- Ex: There are 4 numbers between 1 and 6 because (6 - 1) - 1 = 4 (2, 3, 4, 5)
The numbers from 1 to 9 have one digit and from 10 to 99 have two digits
A.
∵ Mary wrote all the integers from 1 to 19
∵ (19 - 1) + 1 = 19
∴ She wrote 19 numbers
B.
∵ Rena wrote all the integers from 1 to 12
∵ (12 - 1) + 1 = 12
∴ She wrote 12 numbers
C.
∵ Mary wrote all the integers from 1 to 19
∵ From 1 to 9 the numbers have one digit
∵ There are 9 numbers from 1 to 9 because (9 - 1) + 1 = 9
∴ The number of digits from 1 to 9 = 9 × 1 = 9 digits
∵ There are 10 numbers from 10 to 19 because (19 - 10) + 1 = 10
∵ From 10 to 19 each number has 2 digits
∴ The number of digits from 10 to 19 = 10 × 2 = 20 digits
∴ The number of digits from 1 to 19 = 9 + 20 = 29 digits
∴ She wrote 29 digits
Answer:
⇛x=8cm.
Step-by-step explanation:
Given that
PQRS is a square and PQ = (2x+3) cm
and QR = (3x-5) cm
We know that
All sides are equal in a square .
⇛ PQ = QR = RS = PS
⇛ 2x+3 = 3x-5
⇛ 3+5 = 3x-2x
⇛ 8 = x
⇛ x = 8
Therefore, The value of x = 8 cm.
