Based on the type of equations in the system, what is the greatest possible number of solutions (x2+y2=9/9x+2y=16? A=1
B= 2
C= 3
D= 4
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Answer:
`Option B.
Step-by-step explanation:
The given system of equations is
The graph of first equation is circle and the graph of second equation is a line.
We know that a line can intersect a circle at most 2 times. So, the greatest possible number of solutions is 2.
First equation can be rewritten as
It is the standard form of a circle , where (h,k) is center and r is radius.
In the above equation h=0,k=0 and r=3. It is a circle with radius 3 and centered at origin.
The second equation is
It is a linear equation.
Table of values.
x y
0 8
1 3.5
2 -1
Plot these points on a coordinate plane and connect them by a straight line.
From the below graph it is clear that the line and circle intersect each other at two points. So, the given system of equation have two solutions.
Therefore, the correct option is B.
Answer:
B
Step-by-step explanation:
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Solve the problem.If $13,000 is borrowed at 5.8% simple interest for 10 years, how much interest will be paid for the loan?
I take 8th grade honors math but i straight up cant figure this out
use the numbers and decimal to write a number in which the digit 2 is 1/10 the value of the digit 2 in 8.524
Ow many solutions does this system of equations have?A. none B. exactly one C. exactly two D. infinitely many
Answers
|80 - 5x| ≤ 4
- This is about absolute value inequality.
He is buying 5 tickets.
He wants his total cost to be in the range of 80 ± 4.
- If the cost of one ticket is $x, then we have;
5x - 80 ≤ 4
5x ≤ 84
x ≤ 16.8
- Also; 80 - 5x ≤ 4
5x ≥ 76
x ≥ 15.2
- From absolute values, since;
5x - 80 ≤ 4 and 80 - 5x ≤ 4
we can express this inequality as;
|80 - 5x| ≤ 4
Read more at; brainly.com/question/13462599
Final answer:
To model the cost x, in dollars, of a concert ticket, the inequality 80 - 4 ≤ x ≤ 80 + 4 can be used.
Explanation:
To model the cost x, in dollars, of a concert ticket, we can write the following inequality:
80 - 4 ≤ x ≤ 80 + 4
This inequality states that the cost of a ticket, x, must be between $76 and $84 (inclusive),
in order for Jamie's total cost for 5 tickets to be no more than $4 above or below $80.
Learn more about Inequality for concert ticket cost here:
#SPJ12
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Answer-
When the height is doubled, the volume of the cone also gets doubled.
Solution-
Volume of a cone is given by,
Where,
V = Volume,
r = radius of the base,
h = height of the cone.
Let, height at first be x, then volume would be,
As the height is doubled, so height = 2x, then volume would be,
Therefore, when the height is doubled, the volume of the cone also gets doubled.
B. Amount of Peanuts
C. Cost of Peanuts Purchased
D. Peanuts Purchased
Please answer. I will give you 11 points.
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