Answer:
Step-by-step explanation:
To solve this problem, we need to find the linear function. We know that the constant rate of change is -0.5° Celsius per minute. Also, after 60 minutes the temperature was 10° Celsius. So, we have a one point and the slope of the linear function, let's use the point-slope formula
Where the y-intercept is at (0, 40).
Now, we have two points to graph the relation between minutes and Celsius degrees.
Therefore, the room's temperature as a function of time is
Its graph is attached.
The cost of bathing service per dog :
$324/27 = $12
x = <span>number of dogs she washes
</span>y = revenue
so the equation:
y = 12x
1 dog = $12
2 dogs = $12 x 2 = $24
3 dogs = $12 x 3 = $36
4 dogs = $12 x 4 = $48
use these coordinate points to graph it.
x - coordinate = <span>number of dogs she washes
</span>y - coordinate = total cost ($)
The dimensions of the rectangle are 10 by 4
Step-by-step explanation:
The area of a rectangle is given by product of the length and width.
Area=l*w where l is the length and w is the width.
Assume the width to be x
The length is 6 units greater than the width,which is x+6
The area will be x(x+6) = x²+6x
This area x²+6x= 40
Form a quadratic equation as x²+6x-40=0
Solving the quadratic equations;
x²+6x-40=0
x²+10x-4x-40=0
x(x+10)-4(x+10)=0
(x-4)(x+10)=0
x-4=0
x=4 taking a positive value for length then;
width will be x=4 units
Length will be x+6 = 4+6=10
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Area of rectangle : brainly.com/question/10865708
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Keywords: Area, rectangle
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For 3 sides to form a triangle two sides added together need to be greater then the 3rd side. You need to check all 3 combinations:
1. 11.5 + 10.5 = 22, 22> 6.1
11.5 + 6.1 = 17.6 17.6 > 10.5
10.5 + 6.1 = 16.6, 16.6 > 11.5
This one can make a triangle.
2. 9.5 + 3.5 > 4.5
9.5 + 4.5 > 3.5
4.5 + 3.5 < 9.5
Cannot make a triangle.
3. 8 + 6.7 > 1
6.7 + 1 < 8
Cannot make a triangle.
4. Can make a triangle
5. Can
6. Can
Answer:
x= 3
Step-by-step explanation:
8x - 9 =15
+9 on both sides
8x = 15 + 9
Add 15 and 9 to get 24
8x = 14
Divide 8 by both sides
x = 3
