graph the system of equations below and find the solution. y=2x. y= -x+6

Complete the square:

F(x) = -3x² - 6x - 5

F(x) = -3 (x² + 2x) - 5

F(x) = -3 (x² + 2x + 1 - 1) - 5

F(x) = -3 ((x + 1)² - 1) - 5

F(x) = -3 (x + 1)² + 3 - 5

F(x) = -3 (x + 1)² - 2

The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :

F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5

The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.

The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from

(x + 1)² ≥ 0   ⇒   -3 (x + 1)² ≤ 0   ⇒   -3 (x + 1)² - 2 ≤ -2

This is to say, every point on the parabola has a y-coordinate no greater than -2.

As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.

Answer:

Plane B is closer.

Step-by-step explanation:

Plane B is closer.

The distance for Plane A is 7.9 km.

The distance for Plane B is 7.4 km.

Step-by-step explanation:

To find the distance to the tower, altitude must be converted to kilometers. Each 1000 ft is 0.3048 km, so the heights of the planes are ...

-- Plane A: (20 thousand ft)*(0.3048 km/thousand ft) = 6.096 km

-- Plane B: (8 thousand ft)*(0.3048 km/thousand ft) = 2.4384 km

The Pythagorean theorem can be used to find the distance from each plane to the tower:

-- distance = √((ground distance)² + (height)²)

-- Plane A distance = √(5² +6.096²) ≈ √62.16 ≈ 7.9 . . . km

-- Plane B distance = √(7² +2.4384²) ≈ √54.95 ≈ 7.4 . . . km

The distance for Plane B is shorter, so Plane B is closer to the tower.

Answer:

The variables are 1,400, 360, and two to represent the jobs he worked over the summer. System of equations, I would do 1,400+360 divided by two. 1,400+360 divided by two equals 880. To answer the last question, he earned $880 at each job.

Step-by-step explanation:

Hope this helps! Please tell me if I'm wrong. Have a wonderful rest of your day or night! ^w^

The second option

(Pie x 2.5 squared x height)

Answer: The first number that appears in both sequences is 28.

Step-by-step explanation:

Let's write down numbers from each of the sequences

Sequence 1) We need to start from 7 and multiply 4

7x4=28, 28x4=112

The sequence is 7,28,112...

Sequence 2) We need to start from 8 and add 5

5+8=13, 13+5=18, 18+5=23, 23+5=28

The sequence is 8,13,18,23,28...

They both have 28

28 is the first number that appears in both sequences.

multiply by 4 starting from 7

add 5 starting from 8

Answer: (0, 1/2)

Step-by-step explanation:

Answer:

120 degree, corresponding angles

Step-by-step explanation:

Angle l is 120 degree. You could measure using a protractor.

The relation between angle H and angle L is that they are corresponding angles.

Reason: a and b are parallel line.

Answer:

d

Step-by-step explanation:

Answer: D 0.05, 0.0516, 16%, 5/16, 5.16

Answer:

D. the absolute deviation is 3

Step-by-step explanation:

Given:

MAD:

[tex]\displaystyle \large{\dfrac{1}{n}\sum_{i=1}^{n}|x_i-m| = \dfrac{|x_1-m|+|x_2-m|+|x_3-m|+...+|x_n-m|}{n}}[/tex]

Therefore:

[tex]\displaystyle \large{MAD=\dfrac{|7-12|+|10-12|+|10-12|+|14-12|+|14-12|+|17-12|}{6}}\\\displaystyle \large{MAD=\dfrac{5+2+2+2+2+5}{6}}\\\displaystyle \large{MAD=\dfrac{18}{6}}\\\displaystyle \large{MAD = 3}[/tex]

Therefore, absolute deviation is 3

Answer:

is it a rhombus or not

Step-by-step explanation:

Answer:

b in number 1, a in number 2, and c in number 3

Step-by-step explanation:

Just did test

Step-by-step explanation:

2x° + 2x° + 76° = 180° ( being supplementary angle )

4x° = 180° - 76°

4x° = 104°

x = 104/4

x = 26°

This is the most easiest for one I can help you but on one condition you give brainlest and points as I requested Thanks!

So the basic idea of this type of math is if you know how to multiply you are gonna KEEP CHANGE and Flip. Keep the number chand the division sign to a multiplication sign or vise versa the Flip the fraction where the denominator is offically the numerator.

Example 1:

4 divided by 1/2

KEEP CHANGE FLIP

4 x 2/1 =8/1 or 8

See its that simple!

Here is you math

Oh and I did the liberty of Showing you how to do the math problems.

Pls give brainlest

Answer:

anything close to 9 feet

Step-by-step explanation:

b²=c²-a²

b=√c²-a²

b = √10²-4²

b=√100-16

b=√84 ≈ 9.12

Answer:

5 * 8 * 6 * 3 = 40 * 18 = 720. so it would be 720 cm squared

Step-by-step explanation:

Answer:

1928

Step-by-step explanation:

1927.83505155 rounded to the nearest whole number is 1928. A whole number is a number with no decimal places, so we'll have to look at the number directly to 7's right (the first decimal) in order to find out whether we'll be rounding up or down. This number is 8, which is closer to 10 than it is to 0, so we'll be rounding up.

1927 + 1 = 1928, and this is our final answer. Hopefully this was helpful! Let me know if you have any further questions on the subject.

Answer:

5(x-3)(x-3)

Step-by-step explanation:

First we can divide everything by 5:

[tex]\frac{5x^{2} -30x+45}{5} = x^{2} -6x+9[/tex]

Now we find 2 numbers that multiply to give +9 and add to give -6:

This would be -3 and -3. Now we substitute these numbers inside of -6 by splitting -6x into -3x and -3x:

[tex]x^{2} -3x-3x+9[/tex]

Now we factor the first 2 terms:

[tex]x(x-3)[/tex]

Now we factor the last 2 terms:

[tex]-3(x-3)[/tex]

Now we only copy one bracket and the things outside the bracket we put them into 1:

(x-3)(x-3)

Now we multiply everything by 5 :

5(x-3)(x-3)

Answer:

5(x-3)( x-3)

Step-by-step explanation:

First we notice that all the factors are divisible by 5 because the ending of the coefficients is 0 or 5

5 (x² -6x+9)

5 ( x -3) ² , because x² -6x+9 = 9x-3)²

5 (x-3)( x-3)

Answer:

56.52 :)

Step-by-step explanation:

Circumference of a circle: 3.14(2)r

Now lets solve!!

3.14(2)9

(6.28)9

56.52

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

167

Step-by-step explanation:

12 inches in 1 foot

60 feet divided by 4.3 inches = about 167

The ball would roll about 167 times

Answer:

IQR = 8

Step-by-step explanation:

IQR is Q3-Q1.

Lets split into quarters.

21, 23, 25, 29, 30, 31, 33, 34

Median is 29.5.

Q1 is 24.

Q3 is 32.

32-24=8

Answer:

38 minutes

Step-by-step explanation:

This is simple because can add 17 minutes to get to 11 AM

There, we can just add 21 more minutes to get to 11:23 AM!

17+21=38!

52.5 Yards (yd).

7 + 7 = 14

14 + 14 = 28 ( 10 + 10 + 4 + 4)

14 + 28 = 42 (4 - 2 + 8 = 10 + 20 + 10)

42 + 10.5 = 52.5

⚠⚠ if you need to multiply this by itself (squaring is the proper name) then the answer is 2756.25 Yards.

Answer: Expenses

Step-by-step explanation:

Terms in this set (4)

Estimate Expenses.

Estimate Income.

Determine Savings.

Balance Budget.

Answer:

The answer is the debit card.

Step-by-step explanation:

Because a debit card takes money straight from your bank account and if he doesn't have enough money in his bank account he can't pay for it. Does that make sense?? If not let me know and I will explain it better.

Answer:

Debit card

Step-by-step explanation:

He doesn't even have enough money and debit cards base your spending limit on how much money you have in your account.

Answer:

1. 30.5

2. 23

Step-by-step explanation:

1. Find the middle of 30 and 31.

2. 21, 22, 23, 24, 25...now cross of a number from each side at a time until you get to the middle.

You put the numbers from smallest to biggest and cross off one number at a time from each side until you get to the middle.

If at the end you have two numbers left, you find the middle for these two numbers.

Answer:

1) 30.5

2) 23

3) 50

4) 2

5) 100

Step-by-step explanation:

First of all, order your data from lowest to highest value. Next, if you have an even number of observations (like in question n. 1 and n. 3) you have to add the middle two observations and divide the result by two. If you have an uneven number of observations, your median is simply going to be the number in the middle. Here, I'll show you:

- Question 1 has 2 observations, meaning you have to compute 30+31 = 61. Now you divide 61 by 2:

61/2 = 30.5 and that's your median.

- In question 2 you firstly have to order the data from lowest to highest number. Since it's an uneven number, your median is going to be 23.

- Question 3 has 4 observations, meaning you have to firstly order in ascending order and find the middle 2 numbers, which are 30 and 70. You add them: 30 + 70 = 100.

100/2 = 50 and that's your median.

- In question 4, after you order in ascending order you can clearly see that your median is 2.

- In question 5, after you order in ascending order you can clearly see that your median is 100.

Answer:

17.6

Step-by-step explanation:

I like to approach surface area problems by solving the invdividual 2d shapes on the figure.

First we will solve the triangle(s)

1/2xbh=a

1/2x2=a

1=a

As there is another triangle reflected behind it we so far have 2 units.

Now we solve the 3 rectangles in the figure

3x2.2 = 6.6 (first slanted rectangle)
3x1= 3 (bottom rectangle)

2x3=6 (side rectangle)

Now we add up all our units

2 + 6 + 3 + 6.6

17.6 = SA