In order to find the expression that is equivalent to (t*s)(x), use the following steps:
s(x) = x - 7t(x) = 4x^2 - x + 3
(t*s)(x) = t(s(x)) = t(x - 7) = 4(x - 7)^2 - (x - 7) + 3 = 4(x - 7)^2 - x + 7 + 3
The correct result would be 4(x – 7)2 – (x – 7) + 3.
What are the instructions? If it just says to classify it, there is no degree, so it would be a binomial.
Here is a chart;
1 term = monomial. Example; 6x
2 terms = binomial. Example; 6x + 5
3 terms = Trinomial. Example; 6x + 5 + 2y
4 terms = polynomial of 4 terms. Example; 6x + 5 + 2y + 2x^3
3)The original rational number was 17/12.
4)The age of Ruby and Reshma are 20 and 28 years respectively.
Explanation:
3)Let the numerator be x.
So denominator will be (x - 5)
If we add 5 to numberator then it will be (x + 5)
New number is (x + 5)/(x - 5)=11/6
Solve for X by cross multiplying
6(x + 5)=11(x - 5)
6x + 30=11x - 55
5x=85
x=17
So original rational number was 17/12.
4)The ages of Ruby and Reshma are in the ratio 5:7
So, let the present ages of Ruby and Reshma be 5x and 7x respectively.
Also, it is given that four years from now the ratio of their ages will be 3:4
So, the equation - 5x + 4 / 7x + 3 = 3/4
⇒4(5x+4)=3(7x+4)
⇒20x+16=21x+12
⇒21x−20x=16−12
⇒x=4
⇒5x=20 and 7x=28
The age of Ruby and Reshma are 20 and 28 years respectively.
total number of cards: 12 + 27 + 91 = 130
total number of cards with a circle: 91
so you have a 91/130 probability which reduces to 7/10 probability
Answer:
A
Step-by-step explanation:
Because a^2+b^2=c^2 in a right triangle by Pythagorean's Theorem. So, the only one that works is 3^2+4^2=5^2 because 9+16=25.
