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vodomira [7]
2 years ago
7

Can someone help me please this is due tomorrow

Mathematics
1 answer:
solmaris [256]2 years ago
5 0

Answer:

Step-by-step explanation:

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The first three steps in determining the solution set of the system of equations algebraically are shown in the table. y = −x2 +
lianna [129]
You have a system of equations \left \{ {{y = -x^2+2x-9} \atop {y =-6x+6}} \right..

1. Substitude right side of second equation into the left side of the first equation: -6x+6=-x^2+2x-9.

2. Solve this equation:
 x^2-2x+9-6x+6=0, \\ x^2-8x+15=0, \\ D=(-8)^2-4\cdot 1\cdot 15=64-60=4,  \\ \sqrt{D}=2,  \\ x_{1,2}=\dfrac{8\pm 2}{2  } =3,5.

3. Find y:
for x_1=3, y_1=-6\cdot 3+6=-18+6=-12,
for x_2=5, y_2=-6\cdot 5+6=-30+6=-24.

4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.


7 0
3 years ago
Read 2 more answers
Can someone pls help me find what is 1/10+12/20?
irga5000 [103]

Answer:

\frac{7}{10}

Step-by-step explanation:

\frac{1}{10} can also be written as \frac{2}{20}

\frac{2}{20} +\frac{12}{20} =\frac{14}{20}

Simply to \frac{7}{10}

-OTHER METHOD-

\frac{12}{20} can be simplified to \frac{6}{10}

\frac{1}{10} +\frac{6}{10} =\frac{7}{10}

7 0
3 years ago
Read 2 more answers
Show work and Factor 4x^2+xy-18y^2
grigory [225]

Answer:

4x^2+xy-18y^2=(4x+9y)\,(x-2y)

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2

so we want the following to happen:

a\,c = 4\\ad+bc=1\\bd--18

Notice as well that ad+bc =1 means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product bd=-18, then we can consider the case in which one of this  (b or d) is the negative factor. So let's then assume that a\,\,and \,\,c are positive.

We can then try combinations for  a\,\,and \,\,c  such as:

a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4

Just by selecting the first one (a=4;\,\,c=1)

we get that 4d_b=1\\b=-4d-1

and since

bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

d=-18/(-2)\\d=9

Now we have a good combination of parameters to render the factoring form of the original trinomial:

a=4; \,\,b=9;\,\,c=1;\,\,d=-2

which makes our factorization:

(4x+9y)\,(x-2y)=4x^2+xy-18y^2

6 0
2 years ago
Helpppppppnmeeeeeeee plsss I will give you brainliest
Anon25 [30]

5: 6/5

6: -3

7: 2/5

8: 4/2 or 2

6 0
2 years ago
Read 2 more answers
What is the value of x? 114° 2x a. 38 b. 57° c. 76° d. 85°​
chubhunter [2.5K]

Answer:

I THINK is (57°) if it wrong im sorry.

8 0
3 years ago
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