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makkiz [27]
3 years ago
14

Determine the number of real solutions each quadratic equation has

Mathematics
1 answer:
Serjik [45]3 years ago
8 0

Answer:

where is your quadratic equation

Step-by-step explanation:

b^2-4ac>0=2 real # solutions

b^2-4ac=0=1 real # solutions

b^2-4ac<0=0 real # solutions

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Roxanne graphed this system of equations to find the solution.
Mice21 [21]

Answer:

Option C is correct.

She is not correct as she use the wrong y intercepts when graphing the equations.

Step-by-step explanation:

Given the system of equations:

y = \frac{2}{3}x-5         .....[1]

y = -2x+3         .           .....[2]

equate these two equations we get;

\frac{2}{3}x-5=-2x+3

Add 5 to both sides we get;

\frac{2}{3}x = -2x+8

Add 2x to both sides we have;

\frac{8}{3}x = 8

Multiply both sides by 3 we get;

8x = 24

Divide both sides by 8 we get;

x = 3

Substitute the value of x in [2] we have;

y = -2(3)+3 = -6+3

Simplify:

y = -3

Therefore, the correct solution for this given system of equation is (3, -3)

You can see the graph of these equations below.

5 0
3 years ago
Read 2 more answers
Given that f(x) = x2 + 3x + 6 and g(x) = the quantity of x plus two, over three, solve for f(g(x)) when x = 1
MaRussiya [10]
Easy
f(g(1))
evaluate g(1) then plug thatin for x in f(x)
g(1)=(x+2)/3
g(1)=(1+2)/3
g(1)=1

f(g(1))=
f(1)=(1)^2+3(1)+6
f(1)=1+3+6
f(1)=10
f(g(1))=10
3 0
3 years ago
Read 2 more answers
Is the number 71 a prime or composite?pls I need help
docker41 [41]
The bottom answer is wrong; it's prime because it cannot be divisible by anything except for itself and one.

Please give me Brainliest!!
3 0
4 years ago
Algebra
vladimir2022 [97]
(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1

-4x - 6y = -24
4x - 3y = 6

You can cancel out the x values by adding the two equations together. 
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2

Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3

Check... (x = 3, y = 2)
2(3) + 3(2) = 12 
6 + 6 = 12
12 = 12 <- this works! 

4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
5 0
3 years ago
Read 2 more answers
-6(x+7)=-4x-2<br> How many solutions does it have
geniusboy [140]

Answer:

Equation have Unique solution i.e x=-20

Step-by-step explanation:

Given Equation:

-6(x+7)=-4x-2

Solving the Equation for 'x'.

           -6(x)-6(7)=-4x-2\\\\-6x-42=-4x-2

Adding '4x'  both sides:

             -6x+4x-42=-4x+4x-2\\\\-6x+4x-42=-2\\\\-2x-42=-2

Adding '42' both sides:

               -2x-42+42=-2+42\\\\-2x=40

                        x=\frac{40}{-2} \\\\x=-20

The equation have Unique solution with the value of x=-20

6 0
3 years ago
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