Answer:
t = 3/2
Step-by-step explanation:
Instead of randomly guessing values of "t" that will satisfy the equation, you can easily find the correct value by solving the equation in terms of "t". In other words, you can set the equation equal to "t" to find the final answer.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)t = -1 <----- Add 2 to both sides
t = 3/2 <----- Divide both sides by -2/3
You can check this value by plugging it into "t" and determining whether both sides of the equations will be equal.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)(3/2) - 2 = -3 <----- Plug 3/2 into "t"
-6/6 - 2 = -3 <----- Multiply -2/3 and 3/2
-1 - 2 = -3 <----- Simplify -6/6
-3 = -3 <----- Subtract
Equation (B) "y = 3x + 10" represents the growth of the puppy.
<h3>
What are equations?</h3>
- An equation is a mathematical formula where the "equal to" sign appears between two expressions having the same value.
- Like 3x plus 5 equals 15, for example.
- Different types of equations exist, such as linear, quadratic, cubic, and others.
- The three primary forms of linear equations are the slope-intercept form, standard form, and point-slope form.
So, the equation that represents the situation:
- The weight increase is: (10, 13, 16, 19, 22, 25)
- We can observe that every time, there is a rise of 3lbs of weight.
- Now, let 10 be a constant as the weight is starting from 10 lbs.
- And 'x' be the number of time Salomon tracks the weight.
Then:
For example, Salomon checks the weight for the 6th time then:
- y = 3x + 10
- y = 3(5) + 10
- y = 15 + 10
- y = 25
So, the equation is correct.
Therefore, equation (B) "y = 3x + 10" represents the growth of the puppy.
Know more about equations here:
brainly.com/question/28937794
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The correct question is given below:
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the day he brings her home. His list for her first 6 "weighs" is as follows: (10, 13, 16, 19, 22, 25}
Which equation represents the growth of the puppy? Select one:
A. y = x + 3
B. y = 3x + 10
C. y = 10x + 3
D. y = x + 10
Answer:
Step-by-step explanation:
Answer:
Center: (-1,8)
Radius: 1
The graph is attached.
Step-by-step explanation:
The equation of the circle has the form:
Where (h,k) is the point of the center of the circle and r is the radius of the circle.
The equation given in the problem is
Therefore:
h=-1
k=8
Then, the center is (-1,8) and radius is 1.
You can graph the circle with its center at the (-1,8) and a radius of 1 as you can see in the figure attached.
I hope this helps you
Volume = height. width. length
340=5.width.17
width =340/17.5
width = 4
