Answer: 2x+7
Step-by-step explanation: since we don't know the amount of stamps collected by Shea we call x stamps. We were told Shannah has 7 more stamps than Shea who has x. So we assume that Shannah has x+7 stamps. Therefore total stamps collected could be expressed as
Shea's stamps + Shannah's stamps or x + x+7 = 2x+7
Hope it was helpful
Answer:
AB ≈ 6.71
Step-by-step explanation:
Calculate the length using the distance formula
d = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%20%20%20%7D)
with (x₁, y₁ ) = A (- 1, 6) and (x₂, y₂ ) = B (5, 3)
AB = ![\sqrt{(5-(-1))^2+(3-6)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%285-%28-1%29%29%5E2%2B%283-6%29%5E2%7D)
= ![\sqrt{(5+1)^2+(-3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%285%2B1%29%5E2%2B%28-3%29%5E2%7D)
= ![\sqrt{6^2+9}](https://tex.z-dn.net/?f=%5Csqrt%7B6%5E2%2B9%7D)
= ![\sqrt{36+9}](https://tex.z-dn.net/?f=%5Csqrt%7B36%2B9%7D)
= ![\sqrt{45}](https://tex.z-dn.net/?f=%5Csqrt%7B45%7D)
≈ 6.71 ( to 3 significant figures )
The midline would be horizontal.
The top of the line is at 12, the bottom is at 6
The midline would be at 9
The answer is b.9
The correct statements regarding the behavior of a quadratic function are:
- The function in increasing for all real values of x where -6 < x < -2.
- The function is decreasing for all real values of x where x < -6 or x > -2.
<h3>When is a quadratic function increasing or decreasing?</h3>
A quadratic function with roots
and
is defined by:
![y = a(x - x_1)(x - x_2)](https://tex.z-dn.net/?f=y%20%3D%20a%28x%20-%20x_1%29%28x%20-%20x_2%29)
In which a is the leading coefficient.
The coefficient influences the behavior, as follows:
- If a < 0, the function is increasing between the roots, and decreasing otherwise.
- If a > 0, the function is decreasing between the roots, and increasing otherwise.
In this problem, the function is:
f(x) = -(x + 6)(x + 2).
The roots are x = -6 and x = -2, and the leading coefficient is of a = -1 < 0, hence:
- The function in increasing for all real values of x where -6 < x < -2.
- The function is decreasing for all real values of x where x < -6 or x > -2.
More can be learned about quadratic functions at brainly.com/question/24737967
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Answer:
Steps and solution in the attached picture.
Step-by-step explanation:
Steps and solution in the attached picture.