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Cloud [144]
2 years ago
9

Evaluate -2x 2 y, if x = -3 and y = -1. -12 -18 18 12

Mathematics
2 answers:
Andru [333]2 years ago
8 0

Answer:

18

Step-by-step explanation:

xeze [42]2 years ago
5 0

Answer:

18

Step-by-step explanation:

-2 x^2y

Let x=-3 and y = -1

-2 (-3)^2 (-1)

-2 (9) (-1)

18

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Find the slope of the line that contains the following ordered pairs (4,2) (7,6.5)
klio [65]

Answer:

4.5/3 or 1.5

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

(6.5-2)/7-4)=4.5/3... you can further simplify to 1.5.

8 0
2 years ago
The equation of a circle is x^2 + y^2 - 12x + 6y + 20 = 0. What is the radius of the circle?
Lady bird [3.3K]
The radius of the circle is 5.
3 0
3 years ago
A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da
nikklg [1K]

Answer:

x\approx 267\ miles

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

f(x)=mx+b

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

c = mx+b

We must find the values of m and b with the data provided. Substituting the first point:

79 = 150m+b

Substituting the second point:

63.70 = 65m+b

Both equations form the following system:

\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.

Subtracting both equations:

150m-65m=79-63.70

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

85m=15.3

Solving:

m=15.3/85=0.18

From the first equation

79 = 150m+b

Solving for b:

b=79-150m=79-150(0.18) = 52.

The model for the problem is:

c=0.18x+52

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

100=0.18x+52

Solve for x:

0.18x+52=100

0.18x=100-52=48

x=48/0.18=266.67

Rounding to the closest integer:

\boxed{x\approx 267\ miles}

7 0
3 years ago
2(x-3)=7x-31<br><br> 3x-2 (x+5)=-3+18<br><br> Please show your work
vredina [299]
2(x-3)=7x-31
2x-6=7x-31
-7x    -7x
----------------
-5x-6=-31
     +6   +6
--------------
-5x=-25
Divide by -5
x=5

3x-2(x+5)=-3+18
                     15
3x-2(x+5)=15
3x-2x-10=15
x-10=15               
 +10 +10
--------------
x=25
3 0
3 years ago
A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 80 feet. How long will it take to
tekilochka [14]

Answer:

40.5 seconds

Step-by-step explanation:

5 0
2 years ago
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