Answer:
y-intercept: (0, -0.7)
x-intercept: (-1.2, 0)
Step-by-step explanation:
- To find the x-intercept (x, 0) of a line substitute y by zero in the equation of the line, and from the graph, it is the point of intersection between the line and the x-axis
- To find the y-intercept (0, y) of a line substitute x by zero in the equation of the line, and from the graph, it is the point of intersection between the line and the y-axis
In the given figure
∵ The line intersects the y-axis at the point (0, -0.7)
∴ The point of intersection between the line and the y-axis is (0, -0.7)
→ By using the 2nd note above
∴ The y-intercept is (0, -0.7)
∵ The line intersects the x-axis at the point (-1.2, 0)
∴ The point of intersection between the line and the x-axis is (-1.2, 0)
→ By using the 1st note above
∴ The x-intercept is (-1.2, 0)
Answer:
144cm²
Step-by-step explanation:
Area of square A Aa = La²
Area of square B Ab= Lb²
If the length of each side of square B is 4cm greater than the length of each side of square A, then;
Lb = La + 4 ... 1
Also if the area of square B is 70cm² greater than the area of square A, then;
Ab = Aa + 70
Since Aa = La² and Ab = Lb²
Lb² = La² + 70 ...2
Substitute 1 into 2;
(La+4)² = La²+70
Expand
La²+8La+16 = La²+80
8La+16 = 80
8La = 80 - 16
8La = 64
La = 64/8
La = 8cm
Since Lb = La + 4
Lb = 8 + 4
Lb = 12cm
Area of square B = Lb²
Area of square B = 12²
Area of square B = 144cm²
Factorizing the denominator gives

Then the partial fraction decomposition would take the form

Answer:

Step-by-step explanation:
Given equation: 
In the given equation,
is a coefficient and y is the variable.
coefficient is a constant number or quantity multiplied to a variable in an algebric expression. Like in the above equation
is a coefficient and y is the variable. We use term variable for y as its value may vary or change. If variable does not have any coefficient in any expression then in that case, we consider 1 as coefficient, for example:
, here variable have 1 as coefficient.
Hence, the fractional coefficient is
.
Answer:
C there is no mode
Step-by-step explanation:
The mode is the number that appears most often. Since there is no number that appears more than once, there is no mode