1.) You have 12 toppings. You choose one topping--that leaves you with 11 toppings. You choose another--that leaves 10. 12×11×10 = 1,320.
Multiply 1,320 topping choices by 6 cheeses to get 7,920 total combinations.
2.) (Though I'm less sure of these)
CDs: 6×5×4×3×2 = 720
Cassettes: 5×4 = 20
DVDs: 8×7×6×5 = 1680
Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
To find the y-intercept you first need to set everything equal to y and that will put everything in the y=mx+b line equation. Where m is the slope and b is the y intercept
x+3y = 14 subtract x over
3y = -x+14 divide by 3
y = -1/3x +14
So 14 is the y-intercept of the equation
Let x be width.
Length: 2x
98=2x(x)
2x^2=98
x^2=98/2
x^2=49
x= sqrt(49)
x= 7 (not -7 because distance cannot be in negatives)
Therefore, the dimensions are 7"x14"
Hope I helped :)
Answer: w=5 .
Step-by-step explanation: divide -9 on both sides which gives you 5 .So w=5 .
