Part A: The first thing you should do is to graph both lines. Notice that one is of positive slope and another of negative slope.
The solution of the inequation system is given by the shaded region. That is, all the points that are in the shaded region satisfy the system of inequations.
Part B: the point (-2, -2) is NOT included in the solution area (it is not in the shaded region.
Mathematically it is demonstrated by substituting inequalities and seeing that they are not satisfied
inequality 1 -2 <4 (-2) - 2
-2 <-10 (false)
inequality two -2> = - (5/2) (- 2) - 2
-2> = 3 (false).
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
To convert this fraction to a decimal, just divide the numerator (5) by the denominator (8): 5 ÷ 8 = 0.625. So,
5/8 = 0.625
Rounded values:
<span><span>5/8 = 1 rounded to the nearest integer</span><span>5/8 = 0.6 rounded to 1 decimal place</span><span>5/8 = 0.63 rounded to 2 decimal places</span></span>
Answer:
Randy has eight $5 bills and nine $1 bills
Step-by-step explanation:
Randy needs $50.00
And we know that he his only $1.00 short, so he has $49.00
let's define:
x = number of $1 bills that he has
y = number of $5 bills that he has.
then:
x*$1 + y*$5 = $49
We know that he has one more $1 bills than $5 bills.
we can write this as
x = y + 1
So we have a system of two equations and two variables:
x*$1 + y*$5 = $49
x = y + 1
First we can see that the variable "x" is isolated in the second equation, now we can replace that in the other equation:
x*$1 + y*$5 = $49
(y + 1)*$1 + y*$5 = $49
now we can solve this for y.
y*$1 + $1 + y*$5 = $49
y*($1 + $5) = $49 - $1 = $48
y*$6 = $48
y = $48/$6 = 8
He has 8 $5 bills
and we know that:
x = y + 1
x = 8 + 1 = 9
he has 9 $1 bills.
You need to make a blank graph that goes from 1 to 10 in each direction and then just plot the points. sorry the picture is sideways idk how to fix it.
