This is the diference of 2 perfect squares. 4 is a perfect square, x^2 is a perfect square, and 25 is a perfect square. The pattern for this is (ax + b)(ax - b). Our a is 2 since 2*2 = 4, and our b is 5 since 5*5 = 25. So your factors are (2a+5)(2a-5), choice C.
Only once, any number higher will pass it
The dominant term is -2x⁴.
As X approaches infinite, y is naturally going to be really large as well.
Remember that a number with an even exponent, regardless of whether it's positive or negative, will be positive.
As x approaches infinite, y will approach -2 * ∞, or -∞. Therefore, the end behavior in the positive direction is y=-∞
As x approaches negative infinite, y will approach -2 *∞ again. This is because -∞⁴ = ∞. Therefore, the end behavior in the negative direction is also y=-∞
Basically, due to the dominance of the -2x^4 term, the function will look more or less like a downward facing parabola with a y-intercept of 3.
Answer:
Yes
Step-by-step explanation:
In the equation, -1.3 is the y-intercept. The y-intercept always has a x value of 0. On the point (0,-1.3), it matches the y-intercept and is therefore part of the function/equation.
Hope this helps :)
Answer:
- x-intercept: 27, the number of 2-pointers if no 3-pointers
- y-intercept: 18, the number of 3-pointers if no 2-pointers
Step-by-step explanation:
Each intercept is found by setting the other variable to zero and solving for the variable value of interest.
2x +3y = 54
<u>x-intercept:</u>
2x = 54
x = 27
<u>y-intercept:</u>
3y = 54
y = 18
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By definition, the intercept values are the values that satisfy the equation when the other variable is zero.
x-intercept: To score 54 points, the team would have to make 27 2-point baskets if no 3-point baskets were made.
y-intercept: To score 54 points, the team would have to make 18 3-point baskets if no 2-point baskets were made.
