Given problems;
1. Factor; x²+5x-24
To factor this equation, we must understand that this is a quadratic equation.
A quadratic equation usually has two roots.
x²+5x-24 = 0
- Then find two numbers whose product is -24 and their sum is +5
the numbers are +8 and -3
then replace 5x with the number;
x² + 8x - 3x - 24 = 0
Now factorize;
x(x +8) - 3(x + 8) = 0
(x-3)(x+8) = 0
Factoring gives (x-3)(x+8)
2. Factor 2n² - 5n -3;
Equate to zero;
2n² - 5n -3 = 0
Find the number whose sum is -5 and the product gives -6( 2 x -3);
the number is -6 and +1;
2n² - 6n + n -3 = 0
2n(n-3) + 1(n-3) = 0
(2n + 1)(n-3) = 0
The factor of the equation is (2n + 1)(n-3).
Answer:
1. The heavier the dogs are, the shorter lifespan they have.
2. The lifespan of a bloodhound is on average 10 years long
3. Number 2
Step-by-step explanation:
#1 explination: Since its obvious that the graph angles downwards as it goes towards the left, and because as you go to the left you get heavier dogs, put 2 and 2 together and you get my answer.
#2 explination: We see 3 dots around 90 pounds, one that lives 11 years, and 2 that live 10 years. Since we need to be accurate, we need to find the average of 10, 11, and 10. (10+10+11)/3=10.33. Now we round to 10, so 10 is our answer.
#3 explination: Since there is a bloodhound that lives to be 14, we have two answers, 2 or 3. 1 doesn't work since if Alfonso doesn't have good estimation, the first two questions wouldn't matter *the more you know*. Since we see no unusual pattern between any of the three dots I mentioned earlier, Dani must of forgotten her dog's age (probably because of that dog years thing.)
2x0.19= 0.38 that's what you get if you multiply 2x0.19 I hope I helped :)
I hope I'm not to late :/
Answer:
Third side lies between 10 & 22.
Step-by-step explanation:
Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.
So, letting third size be = x
Difference of two sides < Third side x < Sum of two sides
Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22
Hence, 10 < Third side x < 22
Answer:The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
Answer the questions to estimate the probability that the Iceblades will win the game.
1. The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Write your answer in the space below.
2. Each group represents the 5 shots taken by the other team. To win the game, the Iceblades cannot let the other team score any goals.
For a group to be a success, how many of the 5 shots does the goalie need to save?
Write your answer in the space below.
3. Group 1 is a success. Explain why.
Write your answer in the space below.
4. In this simulation, which groups are successes? How many successes are there in the 10 groups
Step-by-step explanation:
