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Tanzania [10]
3 years ago
6

A persons weekly pay directly proportional to the number of hours worked on Spee is $123.00 for 20 hours of work. Find amount of

pay for 31 hours of work.
Mathematics
1 answer:
wlad13 [49]3 years ago
3 0

Answer:

$190.65

Step-by-step explanation:

123.00/20=6.15 per hour

6.15x31hours worked = $190.65

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What is the length of the side opposite O<br> 3 units<br> O<br> 4 units<br> O<br> 5 units<br> O<br> 6 units
Greeley [361]

Answer:

4 units

Step-by-step explanation:

3 0
3 years ago
What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?
kirza4 [7]

Answer:

  D. Factor out 3 from the first two terms.

Step-by-step explanation:

Vertex form is ...

  y = a(x -h)² +k

where (h, k) is the vertex and "a" is the vertical scale factor.

This equation expands to give ...

  y = ax² -2ahx + ah² +k

Factoring "a" from the terms involving x makes it easy to identify h and so finish putting the equation into vertex form. In this equation, that means the most appropriate first step is ...

  factor out 3 from the first two terms

4 0
3 years ago
Read 2 more answers
A truck is 300 miles east of a car and is traveling west at the constant speed of 30 miles/hr meanwhile the car is going north a
Lerok [7]

Answer:

d(t)=\sqrt{(300+30t)^2+(60t)^2}

Step-by-step explanation:

Let t represents the time in hours,

We know that,

Speed =\frac{Distance}{Time}

\implies Distance = Speed\times time

Since, the speed of truck = 30 miles per hour,

So, the distance covered by the truck in t hours = 30t miles,

Similarly,

Speed of car = 60 miles per hour,

So, the distance covered by car in t hours = 60t miles,

∵ Truck is 300 miles east of the car initially,

Thus, the distance of the truck from the starting point = 30t + 300,

While the distance of the car from the starting point = 60 t,

Now, these two vehicles are going in the directions which are at right angled ( car is going north and truck is going west )

Using the Pythagoras theorem,

Distance between them after t hours,

d(t)=\sqrt{(300+30t)^2+(60t)^2}

Which is the required function.

3 0
3 years ago
4.<br> What is the domain of the graph shown below?
ANEK [815]

Answer:

-6 < x ≤ 6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola yequals=4949minus−xsquared2. Wha
xxMikexx [17]

Answer:

Dimensions of rectangle : Width = 2x , Length = 49 - x^2

Area of Rectangle = 98x - 2x^3

Step-by-step explanation:

A rectangle constructed with its base on the​ x-axis and two of its vertices on the parabola

Supposing coordinates of upper right vertex of rectangle are P = (x,y)

Due to parabola symmetry, width of rectangle is twice the horizontal (X) axis distance between Y axis & point P.

Width of rectangle :  2x

Length of rectangle :  y = 49 - x^2

Area of Rectangle = Length x Width

(2x) (49 - x^2)

= 98x - 2x^3

8 0
3 years ago
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