Answer:
(x-3) (x-5)
Step-by-step explanation:
x²−8x+15
note that the constant term is 15 and the x-coefficient is -8
step 1: List factors of 15 : ±1, ±3, ±5, ±15
step 2: observe the factors listed and ask ourselves the following questions:
1) What 2 factors in the list , when multiplied gives the constant 15
2) What same 2 factors when added gives the x-coefficient -8
by deduction or trial and error, we can see that -3 and -5, when multiplied gives 15 and when added gives -8. Hence these become the factors.
Hence the factors are
(x-3) (x-5)
Answer:
x = 4.3
Step-by-step explanation:
Lets solve!
1.2(x) = 5.16
Divide both sides by 1.2 to get
x = 4.3
Answer:
y = x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (4, 7)
m =
=
= 1, hence
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (1, 4), then
4 = 1 + c ⇒ c = 4 - 1 = 3
y = x + 3 ← equation in slope- intercept form
Answer:


Step-by-step explanation:
Given


Required
Determine the number of boys and girls
We have to convert the ratio to fraction;
Number of girls can be calculated as:







