11. Write the equation in slope intercept form that has a slope of -23 and passes through the point (-1, 2).

1 answer:

7 0

11. y = -23x - 21

You can get this by starting with y = mx + b (slope intercept form). Then put in all the knowns and solve for the b.

2 = -23(-1) + b
2 = 23 + b
-21 = b

Then add that to the end of the equation with m = -23

12. -5

The y-intercept of an equation is always the number added on at the end of an equation. It is also the number with no x attached to it.

13. 8x^9y^6

When you use the law of exponents, you need to make sure the exponent goes to each individual term. When we cube the 2, it becomes 8. When you cube x^3, you get x^3*x^3*x^3 or x^9. And with y^2 you get y^6

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A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose fr

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Answer: She could create 60 platters.

Step-by-step explanation:

Given: A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose from.

Number of combinations of selecting r things from n things is given by:-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

So, the number of combinations of selecting 2 different vegetables from 6 = $^6C_2=\dfrac{6!}{2!4!}=\dfrac{6\times5}{2}=15$

Now, By Fundamental counting principle, the number of different platters she could create = (number of ways of selecting 2 different vegetables from 6) x (Number of sizes)

= 15 x 4

= 60

Hence, she could create 60 platters.

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