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:
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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:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
Hmm, it looks like it could be commutative property of multiplication.
The order of the expression is different.
4(2+3)=
4(5)=20
(2+3)4=
(5)4= 20
A) 1/3 B) 2/3 C) what is it asking D) 1/3 E1/3
Hi there! The answer is 9 square units
To find the area of a triangle we use the following formula:
Area = 0.5 * base * height.
The base of this triangle:
AC = 6
The height of this triangle:
BD = 3
Filling in this formula gives us:
Area = 0.5 * 3 * 6 = 9
Therefore, the answer is 9 square units
