Answer: 84.5%
Step-by-step explanation:
15.2 × 15.2 = 231.04 cm² (area of the entire large square)
5.98 × 5.98 = 35.76 cm² (area of the small square)
large square - small square = area of the blue region
231.04 - 35.76 = 195.28 cm² (area of the blue region)
= percentage of time that the point will be in the blue region
= 0.845 --> 84.5%
Answer:
The binomial 14 - 35x can be factored as 7x(2x+5)
Step-by-step explanation:
When factoring, you want to factor each constant or variable by their greatest common factor (or GCF). Since and
has a greatest common factor of 7x, factor each term by 7x and you'll get
.
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:
The correct answer is "$5000".
Step-by-step explanation:
The given values are:
Two investments totaling,
= $47,500
Annual income,
= $3000
One investment yields per year,
= 9%
Other yield,
= 6%
Let,
Now,
⇒
⇒
⇒
⇒
⇒
⇒