Estimate the line of best fit using two points on the line.

[tex]x^2 -18x \\\\=x^2 - 2 \cdot 9x +9^2 -9^2\\\\=(x-9)^2-81[/tex]

Answer:

5)

Line 1: [tex]y=-x+3[/tex]

Line 2: [tex]y=3x-3[/tex]

6)

Line 1: [tex]y=\frac{1}{2}x-2[/tex]

Line 2: [tex]y=-\frac{5}{2}x+6[/tex]

7)

See below

Step-by-step explanation:

To write the system of equations on the graph, you just need to write the 2 equations of the 2 lines.

5)

The first thing to do is find the slope of the lines. Pick one of them, and start by finding 2 points on that line that land perfectly on the grid.

It's pretty hard to read that top graph in the photo, but I think I see these ones marked:

Line 1: (0, 3) and (3, 0)

Line 2: (0, -3) and (2, 3)

Make sure I got them correct, because the equations will be wrong otherwise. Same for problem 6. To find the slope, divide the change in y by the change in x. Starting with line 1, y went from 3 to 0, so a change of -3. x went from 0 to 3, so a change of 3.

Divide the change in y by the change in x:

[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0-3}{3-0}\\\\m=\frac{-3}{3}\\\\m=-1[/tex]

The slope of line 1 is -1. That means every time x increases by 1, y decreases by 1. You can see that on the line.

Now for line 2:

[tex]m=\frac{3--3}{2-0}\\\\m=\frac{6}{2}\\\\m=3[/tex]

When x increases by 1, y increases by 3.

The last thing to do is find the y-intercept of both lines. That's just where the line intersects the y-axis, at x = 0, and it's clearly visible on the graph so there isn't much to do.

Line 1: 3

Line 2: -3

Now, you can write the equations for these lines in slope intercept form:

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept we found above.

Line 1: [tex]y=-x+3[/tex]

Line 2: [tex]y=3x-3[/tex]

In line 1, -1x can be simplified to just -x.

6)

I'll do the exact same process here, but with less explaining. Let me know if you have any questions.

Find 2 points:

Line 1: (0, -2) and (4, 0)

Line 2: (0, 6) and (4, -4)

Find the slope of line 1:

[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0--2}{4-0}\\\\m=\frac{1}{2}[/tex]

and line 2:

[tex]m=\frac{-4-6}{4-0}\\\\m=\frac{-10}{4}\\\\m=-\frac{5}{2}[/tex]

Now, the y-intercepts:

Line 1: -2

Line 2: 6

Write the equations:

Line 1: [tex]y=\frac{1}{2}x-2[/tex]

Line 2: [tex]y=-\frac{5}{2}x+6[/tex]

7)

A system with 1 solution means 2 lines that intersect at 1 point. Problems 5 and 6 are both examples of this. A system with no solution means lines that never intersect, meaning that they have the same slope, they're parallel.

Example:

[tex]y=2x+1\\y=2x+2[/tex]

Those both have a slope of 2, and if you graph them, you'll see that they never intersect.

A system with infinitely many solutions means they intersect at every possible point. These would just be the same line.

Example:

[tex]y=2x+1\\y=2x+1[/tex]

That's what they are, graph them however you like.

Answer:

4

-15

Step-by-step explanation:

Answer:

y = 3x - 7

Step-by-step explanation:

Slope - Intercept Form :  [tex]y = mx+b[/tex]

[tex]m[/tex] = slope

[tex]b[/tex] = y - intercept

Slope =  [tex]\frac{rise}{run}[/tex]

          = [tex]\frac3{1}[/tex]

          = [tex]3[/tex]

So far:   [tex]y = 3x + b[/tex]

Plug in a point from the graph, ex. (3,2)

[tex]2 = 3(3) + b\\\\2 = 9 + b\\\\b = -7[/tex]

Equation :   [tex]y = 3x - 7[/tex]

-Chetan K

Answer:

Step-by-step explanation:

$425

Answer:

$525

Step-by-step explanation:

If it is 50 per hour, multiply 50 by 10 which equals 500. Since he charges 25 for a call, add that amount to 500, which would be 525.

Answer:

The answer is 1

Step-by-step explanation:

1² = 1×1

= 1

2 - 1² = 2 - 1

= 1

[tex]\left \{ {{2x + 3y = 9} \atop {3x - y = 8}} \right. <=>\left \{ {{2x + 3y = 9} \atop {9x-3x=24}} \right. <=>\left \{ {{2x+9x+3x-3x=9+24} \atop {9x-3x=24}} \right. \\<=>\left \{ {{11x=33} \atop {9x-3x=24}} \right. <=>\left \{ {{x=3} \atop {y=1}} \right.[/tex]

ok done. Thank to me :>

Answer:

3 three pointers and 8 two pointers

Step-by-step explanation:

hope this helps

The volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³

The given diagram is made up of a rectangular prism and a triangular prism.

The volume of the shaded region = Volume of triangular prism - Volume of a rectangular prism.

Volume of triangular prism Vt = BH/3

Base area B = 0.5(5.7)(5)

Base area B = 14.25units²

Height = 4 units

Vt = 14.25 * 4

Vt = 57units³

Volume of the rectangular prism = l²h

Volume of the rectangular prism Vr = 1.7 * 1.7 * 4

Vr =  11.56units³

Volume of the shaded solid = Vt - Vr

Volume of the shaded solid = 57units³ - 11.56units³

Volume of the shaded solid = 45.4units³

Hence the volume of the shaded solid round to the nearest tenth of a cubic unit is 45.4units³.

Learn more on the volume of prisms here: https://brainly.com/question/12716590

Answer:

B

Step-by-step explanation:

12.

Answer: 30.25π

11π = circumference

diameter * π = circumference

diameter = 11

radius = 5.5

Area = 5.5 * 5.5 * π

Area = 30.25π

13.

Answer: 52π

Area = radius * radius * pi

Area = 676π

Radius = 26

Diameter = 2 * radius

Diameter = 52

Circumference = 52π

14.

Answer: 38π

Area = radius * radius * pi

Area = 1134.11

Radius ≈ 19

Diameter = 38

Circumference = 38π

15.

Answer: 72.25π

Circumference = diameter * π

53.41 = diameter * π

Diameter ≈ 17

Radius = 8.5

Area = radius * radius * π

Area = 72.25π

Answer:

Step-by-step explanation:

Answer:

405

Step-by-step explanation:

divide 270 by 6 the multiply what you got with 9

:)

Answer:

Andrea has 83 cherries in stock at the end of the day.

Step-by-step explanation:

starts with 20 cherries

sold 17 cherries

3 cherries remain

get 4 times as many she starts with 20×4= 80

80 + the 3 that remained

Answer:

equation: 41+4x=45.80

answer: x=1.20

Step-by-step explanation:

The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

Let's denote the number of gigabytes of data Nathaniel can use as x.

Then the equation representing his cell phone bill can be set up as:

Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)

$45.80 = $41 + ($4 × x)

Now, we can solve for x:

$4 × x = $45.80 - $41

$4 × x = $4.80

x = $4.80 / $4

x = 1.2

So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

Learn more about equation here:

https://brainly.com/question/29174899

#SPJ3

Answer:

- 1

Step-by-step explanation:

x + y ← substitute x = 2 and y = - 3 into the expression

2 + (- 3)

= 2 - 3

= - 1

Answer: The answer is D, the first ten amendments to the constitution.

Answer:

Step-by-step explanation:

A common way of measuring the mass of objects is to use balance scales. A balance scale works by placing the object you want to weigh on one side and adding gram masses to the other side until the scales are level. Masses for weighing usually come as 1 g, 5 g, 10 g, 20 g or more!

Answer:

x less than or equal to 5

i think thats what u wanted

Answer:  so, option 1 and 3 are true

1. True: The left side  6  is equal to the right side  6 , which means that the given statement is always true.

2. False: The left side  39  does not equal to the right side  9 , which means that the given statement is false.

3. True: The left side  16  is equal to the right side  16 , which means that the given statement is always true.

4. False: The left side  21  does not equal to the right side  19 , which means that the given statement is false.

Step-by-step explanation:

If both Cody and Lisa play for t hours, then Cody pays a total of $(7 + t), while Lisa pays a total of $(1 + 3t). If they both pay the same amount P, then

7 + t = P

1 + 3t = P

Solve for t :

7 + t = 1 + 3t

t - 3t = 1 - 7

-2t = -6

t = 3

So Cody and Lisa each bowled for 3 hours, and they both ended up paying P = $10.

Answer:

25 feet long

Step-by-step explanation:

this is because the ratio is 4:5

so if one side is 20 then the other side must be in proportion to 4:5

multiply both sides by 5 and u get 20:25

hope that helps

Answer:

B. 10

Step-by-step explanation:

Look at the chart.

Find how many members are 50-60 inches tall. (6)

Find how many members are 61-70 inches tall. (4)

Add each member count up. (10)

Answer:

c

Step-by-step explanation:

Answer:

The sum of the squares of the lengths of the other sides minus twice the product of the other two sides multiplied by the cosine of angle contained between them equals the square of the length of any side of a given triangle.

Step-by-step explanation:

hope it helps

Step-by-step explanation:

1. 16x ^ 12 ( to raise a product to a power , raise its factor to the power , evaluate the power, simplify the expressions by multiplying exponents)

2. 1 ( its a rule any non zero expression raised to power of 0 equals to 1)

3. 7/p^4