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4 years ago

3x - 5y = 4 -2x + 6y = 18 Type the answer in the boxes below. What does x and y =

Mathematics

1 answer:

Elenna [48]4 years ago

7 0

Answer: X= 57/4 Y= 31/4

Step-by-step explanation: I assumed and used substitution from the two equations you provided to find the answer. Hope this helped! :)

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For the function y=x^2-4x-5, perform the followingtasks:

lbvjy [14]

Answer:

a. $x^2-4x-5= \left(x-2\right)^2-9$ .

b. The axis of symmetry for ${\left(x - 2\right)^{2}} - 9$ is $x=2$ .

Step-by-step explanation:

a. The vertex form of a quadratic is given by $y=a(x-h)^2+k$ , where (h, k) is the vertex.

To convert from $y=x^2-4x-5$ form to vertex form you use the process of completing the square.

Step 1: Write $x^2-4x-5$ in the form $x^2+2ax+a^2$ . Add and subtract 4:

$x^{2} - 4 x - 5=x^{2} - 4 x + {\left(4\right)} - {4} - 5$

Step 2: Complete the square $x^2+2ax+a^2=\left(x+a\right)^2$

${\left(x^{2} - 4 x + 4\right)} - 9={\left(x - 2\right)^{2}} - 9$

b. The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

For a quadratic function in standard form, $y=a(x-h)^2+k$ , the axis of symmetry is $x=h$ .

The axis of symmetry for ${\left(x - 2\right)^{2}} - 9$ is $x=2$ .

Look at the graph shown below.

5 0

3 years ago

How to factorize -3pa-9b-18pc

Fed [463]

-3pa - 9b - 18pc

For starters, you know that you can't take away any of the letters from the equation because none of the three have the exact same letter; however, they all have something they can be divided by and that is -3.

It would be -3 instead of just 3 because the equation itself starts with a negative. (you could probably do it anyways with just 3, but you'd end up taking out a negative one, anyways, so what's the point?)

Now, you would have: -3 ( pa + 3b + 6pc )

That is truly all you can take out. So, that would end up being your answer since all you can really do is simplify.

7 0

4 years ago

Find the amount that is in the account if $4500 is compounded daily at 3.25% for 6 years

Sindrei [870]

Step-by-step explanation:

1st year interest calculated = 3.25/100 × $4500/1 = $146.25

2nd year principal = 1st year principal + 1st year interest = $4500 + $146.25 = $4646.25. 2nd year interest calculated = 3.25/100 ×$4646.25/1 =$151

3rd year principal = 2nd principal + 2nd year interest = $4646.25 + $151 = $4797.25. 3rd year interest calculated = 3.25/100 × $4797.25/1 = $155.91

4th year principal = 3rd year principal + 3rd year interest =$4797.25 + $155.91 =$4953.16. 4th year principal calculated = 3.25/100 × 4953.16/1 =$160.98

5th year principal = 4th year principal + 4 year interest = &4953.16 +$160.98 = $5114.14. 5th year interest calculated = 3.25/100 × 5114.14/1 =$166.21

6th year principal =5th year principal + 5th year interest = $5114.14 + $166.21 =$5280.35. 6th year interest calculated = 3.25/100 × 5280.35/1 =$171.61

Amount = main principal + compound interest =$4500 +&146.25 +$151+$155.91+$160.98+$166.21+$171.61 =$5451.96

6 0

3 years ago

What is the TOTAL area of polygon The total area is__________square centimeters.

Degger [83]

Answer:

Step-by-step explanation:

Find the area of the rectangle, then add up the area of the triangle.

The area of the rectangle

= 5 × 12

= 60 cm²

The base of the triangle

= 12 - 9

= 3 cm

The height of the triangle

= 9 - 5

= 4 cm

The area of the triangle

= (3 × 4) ÷ 2

= 6 cm²

The total area of the figure

= 60 + 6

= 66 cm²

6 0

3 years ago

A spinner has 6 equal sections: pink, purple, yellow, blue, green, and red. What is the probability of landing on a section that

SVEN [57.7K]

It's 5/6 because out of six sections, there are 5 that aren't green.

8 0

3 years ago