Answer:
Step-by-step explanation:
Detailed solution on the attached pictures
Answer:
c. there are 4 fewer sixth graders than eighth graders who would prefer the same amount of time between classes.
Step-by-step explanation:
the answer is c because it's the only logical one. while there are 5 eighth graders who want the same amount of time and 1 sixth grader. 5-1 is 4. 4 fewer.
Answer:

Step-by-step explanation:
A quadratic function has the formula ax² + bx + c
- To determine if a graph will be narrow or wide, the leading coefficient, a, will be the factor that determines this
- The greater the coefficient, the narrower the parabola
- The lesser the coefficient, the wider the parabola
Here all of the functions are in the form ax²
- In
, our "a" term is 
- In y = -2x², our "a" term is -2
- In y = -3x², our "a" term is -3
- In
, our "a" term is
We can eliminate the two functions with the negative coefficients because they are much smaller than the two functions with the fractions as coefficients, and will therefore open much wider.
We can now compare the two remaining functions,
and
- Giving the two fractions common denominators would turn them into
and
- The equation with the larger fraction will be the parabola that is the narrowest. In this case, it is the
. - Therefore,
will have the narrowest graph
Answer:
1) 2x^2 -8x
2) 18x^2 -45x
Step-by-step explanation:
These problems make use of the distributive property. It tells you how you can use or eliminate parentheses as you may need.
a(b + c) = ab + ac . . . . . . . the outside factor multiplies each inside term
Of course, the usual rules of multiplication of positive and negative numbers apply. If the number of minus signs in a product is odd, the result is negative; otherwise the result is positive.
1. 2x(x -4) = (2x)(x) + (2x)(-4) = 2x^2 -8x
2. -9x(5 -2x) = (-9x)(5) + (-9x)(-2x) = -45x +18x^2 = 18x^2 -45x
3. She used the algebra tiles correctly.
- The headers correctly represent -2x-2 and 2x-1
- Each product has the correct sign (-- = +, -+ or +- = -)
- Each product has the correct power of x
They would be 76 miles apart.
Each boat is travelling for 2 hours. Therefore, we just need to multiply their speed by 2. This will give us the distance they traveled from the start.
2 x 17 = 34
2 x 21 = 42
34 + 42 = 76 miles apart