Answer:
The answer is (4x - 3)/(x + 6)
Step-by-step explanation:
∵ (4x² - 7x + 3)/(x² + 5x - 6)
Factorize the numerator:
4x² - 7x + 3 = (4x - 3)(x - 1)
Factorize the denominator:
x² + 5x - 6 = (x - 1)(x + 6)
∴ (4x - 3)(x - 1)/(x - 1)(x + 6) ⇒ reduce (x - 1) from in up and down
∴ The answer is (4x - 3)/(x + 6) ⇒ the fourth answer
Substitute into second equation:
x+3=2x-3
put variables on one side:
3x=6
x=2
Substitute to find y:
y=2+3
y=5
So (x, y) = (2, 5)
Answer:
135°
Step-by-step explanation:
a supplementary angle is equal to 180°. since you already have the measure of ZA, all you need to do is subtract 45°, the measure of ZA, from 180°, the total measure of a supplementary angle, in order to figure out the measure of ZB.
180 - 45 = 135, therefore the measure of ZB = 135°.
Answer:
It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.
Step-by-step explanation:
Let's write given statement as [ x ] = ] x+1 [
where [ x ] step function means next integer greater than or equal to x,
and ] y [ means last integer less than or equal to y.
Let's take an example of x = 2.5
So [ 2.5 ] = 3.
and ] 2.5 + 1 [ = ] 3.5 [ = 3.
Similarly, we can take any example of Real numbers like 3.7, 4.2, 5.6, 8.9 etc.
It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.
