An amusement park wants to install a zipline that is 500 feet long and slopes

Mathematics

1 answer:

Mila [183]3 years ago

8 0

Answer:

Check attachment for solution

Step-by-step explanation:

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allsm [11]

Answer:

yes

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Step-by-step explanation:

6 0

2 years ago

(05.02 MC) A system of equations is shown below: 4x = −3y + 17 3x − 4y = −6 What is the solution to this system of equations? (−

aliina [53]

4x=-3y+17 becomes 4x+3y=17

4x+3y=17
3x-4y=-6

alrighty

elimination

muliply first equation by 4 and 2nd by 3 and add them
16x+12y=68
9x-12y=-18
add them

25x+0y=50
25x=50
idivide both sides by 25
x=2

sub back

3x-4y=-6
3(2)-4y=-6
6-4y=-6
-4y=-12
y=3

(x,y)
(2,3)

5 0

3 years ago

Read 2 more answers

There are 12 players on the basketball roster. 9 of the players are in the 8th grade. What percent of the team is not in the 8th

Akimi4 [234]

There are thirty percent not in eigth grade

4 0

3 years ago

The graph of which function will have a maximum and a y-intercept of 4? f(x) = 4x2 + 6x – 1 f(x) = –4x2 + 8x + 5 f(x) = –x2 + 2x

V125BC [204]

Answer:

Option C (f(x) = $-x^2 + 2x + 4$ )

Step-by-step explanation:

In this question, the first step is to write the general form of the quadratic equation, which is f(x) = $ax^2 + bx + c$ , where a, b, and c are the arbitrary constants. There are certain characteristics of the values of a, b, and c which determine the nature of the function. If a is a positive coefficient (i.e. if a>0), then the quadratic function is a minimizing function. On the other hand, a is negative (i.e. if a<0), then the quadratic function is a maximizing function. Since the latter condition is required, therefore, the first option (f(x) = $4x^2 + 6x - 1$ ) and the last option (f(x) = $x^2 + 4x - 4$ ) are incorrect. The features of the values of b are irrelevant in this question, so that will not be discussed here. The value of c is actually the y-intercept of the quadratic equation. Since the y-intercept is 4, the correct choice for this question will be Option C (f(x) = $-x^2 + 2x + 4$ ). In short, Option C fulfills both the criteria of the function which has a maximum and a y-intercept of 4!!!