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Kipish [7]
3 years ago
11

Gary's contract says he must work at least 20 hours per week. Gary is paid $15.50 per hour. Gary is also paid $50 per week. Gary

wants to make more than $400 this week
Mathematics
1 answer:
Rasek [7]3 years ago
8 0

Answer: Gary needs to work more than 25hours for the week to earn above $400.

Step-by-step explanation:

For Gary to be paid $50 per week means he worked $50/ $15.50= 3.23 hours for the week.

To make over $400 this week he needs to work for

400/15.50 = 25.81 hours and more for the week to earn above $400

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A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func
Gemiola [76]

Answer:

Since \bigtriangleup \geq 0, the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

f(x) = -16x^{2} + 200x

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

If \bigtriangleup < 0, the polynomial has no solutions.

In this question:

f(x) = -16x^{2} + 200x

-16x^{2} + 200x = 612

16x^{2} - 200x + 612 = 0

We have to find \bigtriangleup

We have that a = 16, b = -200, c = 612. So

\bigtriangleup = (-200)^{2} - 4*16*612 = 832

Since \bigtriangleup \geq 0, the superhero makes it over the building.

7 0
3 years ago
Can you help me i have only one day
tangare [24]

Answer:

n = -1.825

Step-by-step explanation:

8n + 16.2 = 1.6 (Given)

8n = -14.6 (Subtract 16.2 on both sides)

n = -1.825 (Divide 8 on both sides)

8 0
2 years ago
Read 2 more answers
What are the angle relationship(s) that must be formed around a single intersection
Sergeu [11.5K]

Answer:

Step-by-step explanation:

Opposite (or in The US, vertical) angles are congruent.

Adjacent ( on the same line) angles are supplementary (that is their sum = 180 degrees).

4 0
2 years ago
F(x)=2x+3<br> What would the ordered pair be if x=-2?
pogonyaev
(-2;-1)
-2 is X
-1 is Y
3 0
3 years ago
Read 2 more answers
Two equations are given below: a – 3b = 9 a = b – 3 What is the solution to the set of equations in the form (a, b)?
Vilka [71]
A-3b=9
a=b-3

b-3-3b=9
-2b-3=9
-2b=12
2b=-12
b=-6

a=-6-3
a=-9

Solution: (-9,-6)
----
Check: 
-9=-6-3
-9=-9
TRUE


7 0
3 years ago
Read 2 more answers
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