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tia_tia [17]
3 years ago
10

1) f(x)=2x+5 What is -2 [f(x)]-1?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0

Answer:

-4x - 11

Step-by-step explanation:

-2[f(x)] - 1

= -2[2x + 5] - 1

= -4x - 10 - 1

= -4x - 11

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A school, hospital, and a supermarket are located at the vertices of a right triangle formed by three highways. The school and h
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Answer:

7.1 miles

Step-by-step explanation:

Consider right triangle HospitalSchoolSupermarket. In this triangle:

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The shortest road from the main entrance of the supermarket to the highway that connects the school and hospital will be the height drawn from the point Supermarket to the hypotenuse HospitalSchool.

Let the length of this road be x mi and the distance from School to point A be y mi. Use twice the Pythagorean theorem for right triangles Supermarket SchoolA and SupermarketHospitalA:

\left\{\begin{array}{l}x^2+y^2=8.82^2\\ \\x^2+(14.7-y)^2=11.76^2\end{array}\right.

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x^2+(14.7-y)^2-x^2-y^2=11.76^2-8.82^2\\ \\14.7^2-2\cdot 14.7y+y^2-y^2=11.76^2-8.82^2\\ \\-29.4y=11.76^2-8.82^2-14.7^2\\ \\29.4y=155.5848\\ \\y\approx5.24\ mi

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