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vlabodo [156]
3 years ago
9

How How many solutions does the nonlinear system of equations graphed below have?

Mathematics
1 answer:
ANTONII [103]3 years ago
4 0
Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.
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A circle whose center is the origin passes through the point (-5,12). Which point also lies on this circle?
schepotkina [342]
The answer is B(11, 2sqrt(12) )
proof

the main equation of the circle is   (x-x1)²+(y-y1)²=R²
where C(x1, y1) is the center 
so if the center is the origin, it is O(0,0), and the equation becomes
<span>  (x)²+(y)²=R²
</span>and the circle passes through the point (-5,2) so we can write 
(-5)²+12²=R², it implies R= sqrt(25+144)=sqrt(169)=13

and  for <span>B(11, 2sqrt(12) )     </span>11²+  (2sqrt(12))²= 121 + 48= 169= 13
it is checked.
3 0
3 years ago
The bacteria in an old piece of cheese is growing at a rate that can be modeled by y = 280 • 2^x. Determine which number represe
Katyanochek1 [597]
The answer is <span>C.) 2

The general form of formula is
y = a </span><span>• r^x
y - the total number of bacteria after x period of time
a - the initial number of bacteria
r - growth rate
x - period of time

Let's compare:
</span>y =    a   • r^x
<span>y = 280 • 2^x

Since r = 2, the growth rate is C.) 2</span>
5 0
3 years ago
Read 2 more answers
If fx()=8-10x and g(x)=5x+4, what is the value of (fg)(-2)
lyudmila [28]

So, we are looking for F of G of 2. So, we need to work backwards and find G(x) first.


g(-2)=5(-2)+4\\g(-2)=-6

So we know that g(-2) = -6, now we take thatt -6 and plug in into f(x)

f(g(-2))=f(-6)\\f(-6)=8-10(-6)\\f(-6)=8+60\\f(-6)=68


68 is the answer

7 0
2 years ago
An art gallery has 18 paintings and 4 photographs displayed in equal rows on the wall, with the same number of each type of art
NNADVOKAT [17]
18 divided by 4 this equals 4 with a remainder of 2 so i guess the 2 go in another row
4 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST
Zanzabum

Answer:

A.) (x + 2) and (2x - 1)

Step-by-step explanation:

So from the video i just watch this is how its done

3 (2x^2 + 3x - 2) = 0

4  and -1 gives you 3 and you divide them by a which is 2

4/2 (2/1) and -1/2 then you write them from the bottom to top

(x + 2) and (2x - 1)

Answer:

B.) 20 (x + 5) (x - 5) = 0

Step-by-step explanation:

20 (x^2 - 25) = 0

20 (x + 5) (x - 5) = 0

EZ

8 0
2 years ago
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