Answer:
The dog weighs 16 pounds, while the cat weighs 8 pounds
Step-by-step explanation:
Let's call the weight of the dog d, and the weight of the cat c.
d+c=24
d=2c
Substitute the second equation into the first:
(2c)+c=24
3c=24
c=8
d=24-8=16
Hope this helps!
Answer:
Part 1) The domain of the quadratic function is the interval (-∞,∞)
Part 2) The range is the interval (-∞,1]
Step-by-step explanation:
we have
This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)
step 1
Find the domain
The domain of a function is the set of all possible values of x
The domain of the quadratic function is the interval
(-∞,∞)
All real numbers
step 2
Find the range
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
we have a vertical parabola open downward
The vertex is a maximum
Let
(h,k) the vertex of the parabola
so
The range is the interval
(-∞,k]
Find the vertex
Factor -1 the leading coefficient
Complete the square
Rewrite as perfect squares
The vertex is the point (7,1)
therefore
The range is the interval
(-∞,1]
Answer:
reminder table price game matka
Two equations for two perpendicular lines that have the same y-intercept and do not pass through the same origin are; y = x + 1 and y = -x + 1
<h3>What is the equation of the two lines?</h3>
The general formula for the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, when we talk about two perpendicular lines, it means that their slopes are negative reciprocals of each other.
Secondly, we are told that they both do not pass through the origin. Thus, it means that the y-intercept cannot be zero.
Therefore, two possible equations here can be;
y = x + 1 and y = -x + 1
Read more about Equation of lines at; brainly.com/question/13763238
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Since 25% is 1/4, you multiply 60 by 1/4 to get how many students took Spanish class last year. So, 60 times 1/4 is 60/4, which is 15. Then you subtract 15 from 60 to get 45. So, 45 students took Spanish class last year.