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Darina [25.2K]
3 years ago
10

A public parking garage charges $5 plus and additional $2 per hour

Mathematics
2 answers:
Sholpan [36]3 years ago
6 0
Okay so slope intercept form is y=mx+b
Where b is the y intercept, m is the slope and x is the changing variable. So in this case let x represent the number of hours and m equal the cost per hour $2. That leaves $5 as the y intercept. So your equation is y=2x+5
Reil [10]3 years ago
3 0

Answer: y=2x+5    

Step-by-step explanation:

Let x denotes the number of hours.

Given : A public parking garage charges $5 plus and additional $2 per hour.

i.e.  Fixed Charge = $5

Rate per hour = $2

Now, the Total charge = Rate per hour x No. of hours +Fixed Charge

=2x+5  (dollars)

Let y denotes the total charge.

Then, the equation becomes :

y=2x+5             (1)

Equation of a line in slope-intercept form : y=mx+c           (2)

, where m= slope (rate of change of y w.r.t x)

and c= y-intercept (Initial value)

When we compare equation (1) to  equation (2), we see that equation (1) is in slope-intercept form.

Thus, the required equation for the line in slope intercept form :

y=2x+5  

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Write your answer for y.
Nonamiya [84]

Answer:

The coordinates of Y' will be:  A'(4, -3)

Step-by-step explanation:

Triangle XYZ with vertices

  • X(-5, -2)
  • Y(-3, 4)
  • Z(-1, 1)

We have to determine the answer for the image Y' of the point Y(-3, 4) with respect to the line mirror y=x.

We know that when P(x, y) is reflected in y = x, we get P'(y, x)

i.e.

The rule of y=x:

  • P(x, y) → P'(y, x)

As we are given that Y(-3, 4), so the coordinates of Y' will be:

A(-3, 4) → A'(4, -3)

Therefore, the coordinates of Y' will be:  A'(4, -3)

4 0
3 years ago
(5,9), (5-3)<br> what is the slope?
monitta

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

When you want to find out what the slope is, you have to remember what the formula is first....

m=\frac{y}{x} =\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

so in this case -3 would be the y_{2} because it's the y in the ordered pair and it's the second one. Then one of the 5's would be x_{2} and 9 would be y_{1} and then the other 5 would be x_{1}.

now if we plug it in

\frac{-3-9}{5-5} =\frac{-12}{0}

now we can tell that we can't divide by zero so the slope would be unidentified and that's it.

5 0
3 years ago
Consider the functions f and g defined by \[f(x) = \sqrt{\dfrac{x+1}{x-1}}\qquad\qquad\text{and}\qquad\qquad g(x) = \dfrac{\sqrt
tino4ka555 [31]

Answer:

The given functions are not same because the domain of both functions are different.

Step-by-step explanation:

The given functions are

f(x)= \sqrt{\dfrac{x+1}{x-1}}

g(x) = \dfrac{\sqrt{x+1}}{\sqrt{x-1}}

First find the domain of both functions. Radicand can not be negative.

Domain of f(x):

\dfrac{x+1}{x-1}>0

This is possible if both numerator or denominator are either positive or negative.

Case 1: Both numerator or denominator are positive.

x+1\geq 0\Rightarrow x\geq -1

x-1\geq 0\Rightarrow x\geq 1

So, the function is defined for x≥1.

Case 2: Both numerator or denominator are negative.

x+1\leq 0\Rightarrow x\leq -1

x-1\leq 0\Rightarrow x\leq 1

So, the function is defined for x≤-1.

From case 1 and 2 the domain of the function f(x) is (-∞,-1]∪[1,∞).

Domain of g(x):

x+1\geq 0\Rightarrow x\geq -1

x-1\geq 0\Rightarrow x\geq 1

So, the function is defined for x≥1.

So, domain of g(x) is [1,∞).

Therefore, the given functions are not same because the domain of both functions are different.

4 0
3 years ago
Solve for x and y:<br> x+y=5 x−y=a <br> PLEASE I NEED MY ANSWER TILL TOMORROW MORNING!
KengaRu [80]

Answer:

x=\frac{a+5}{2}  y=5-\frac{a+5}{2}  

Step-by-step explanation:

x+y=5

y=5-x

x-y=a

x-(5-x)=a

2x-5=a

2x=a+5

x=\frac{a+5}{2}  

x+y=5

\frac{a+5}{2}  +y=5

y=5-\frac{a+5}{2}  

7 0
3 years ago
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Hunter-Best [27]

Answer:

C. Kinetic energy.

Step-by-step explanation:

Kinetic energy is the energy an object has due to it's motion, since the motion of the object increased, it gained kinetic energy.

7 0
3 years ago
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