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2 years ago

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.