y< 1/4x and y< -6x+6 are graphed on the coordinate plane

Answers

Answer 1

Answer:

See attachment

Step-by-step explanation:

To graph

[tex]y \: < \: \frac{1}{4} x[/tex]

You first graph the boundary line

[tex]y = \frac{1}{4} x[/tex]

This is a dashed line going through the origin with slope 1/4.

We test the point (0,1) to get: 1<0 which is false. So we shade the lower half-plane.

To graph

[tex]y \: < \: - 6x + 6[/tex]

We first graph line

[tex]y = - 6x + 6[/tex]

By plotting (0,6), and (1,0)

We draw a dashed boundary line.

We test the origin:

0<6 which is true so we shade the left half-plane .

The intersection of both shaded regions represent the solution set.

The graph us shown in attachment.

Y&lt; 1/4x And Y&lt; -6x+6 Are Graphed On The Coordinate Plane

Related Questions

which of the following rectangles is similar to a rectangle that measures 12 units by 16 units? A) 18x24 B) 9x14 C) 6x10 D) 16x20

Answers

Answer:

  A) 18x24

Step-by-step explanation:

The ratio of the dimensions will be the same for a similar rectangle.

 12/16 = 3/4 . . . given rectangle

__

  18/24 = 3/4 . . . choice A is similar

  9/14 ≠ 3/4 . . . . choice B is not similar

  6/10 = 3/5 . . . . choice C is not similar

  16/20 = 4/5 . . . . choice D is not similar

g(x) = 4x2 – 3x + 7
Find g(3)

Answers

Answer:

g(3)=34

Step-by-step explanation:

Just plug in 3 for x:

4(3)^2-3(3)+7

4(9)-9+7

36-9+7

27+7

34

So g(3)=34

A factory that is working at 90% capacity is shipping 450 cars per week. If the factory works 100% capacity, how many cars can it ship per week

Answers

Answer:

500

Step-by-step explanation:

450/90 × x/100

how to solve x

100÷90=1.11111111111

1.11111111111×450

Dean selects Teakwood stones

and Buckskin stones to pave a path in front

of his house. How many meters long will

each set of one Teakwood stone and one

Buckskin stone be?

Answers

Answer:

You didnt give us data to use

for example TEAKWOOD IS 3 METER LONG AND PATH 10 HOW LONG IS BUCKSKIN

Step-by-step explanation:

Solve the system of equations.
y=x+57
y=8x+15

Answers

Answer:

x=6, y= 63

Step-by-step explanation:

Please see attached picture for full solution.

joyce has between 25 to 75 coloured beads. when she makes them into groups of 9, 8 beads are left out. when she groups into groups of 8, 6 beads are left out,how many beads are left

Answers

Answer:

Joyce has total 62 colored beads.

Step-by-step explanation:

For making groups of 9, let the number of beads be x.

total beads = 9x + 8

For making groups of 8, let the number of beads be y.

total beads = 8y + 6

As the total number of beads in both cases are same so,

   9x + 8= 8y + 6

or, 9x-8y = -2

Now lets check the values through hit and trial;

First check; x=6, y=7

   9*6 - 8*7 = -2

or, 54- 56 = -2

or, -2 =-2

This satisfies our equation.

Hence; Total beads = 9*6 + 8 = 62

The total number of beads joyce had is 62.

Number of beads she have is 62 .

Step-by-step explanation:

Here we have , joyce has between 25 to 75 colored beads. when she makes them into groups of 9, 8 beads are left out. when she groups into groups of 8, We need to find how many beads are left . Let's solve this:

when she makes them into groups of 9, 8 beads are left out equation is

[tex]9x+8[/tex]

when she groups into groups of 8 , 6 beads are left out, equation is

[tex]8y+6[/tex]

Equating both equation's we get:

⇒ [tex]9x+8 = 8y+6[/tex]

⇒ [tex]9x-8y = -2[/tex]

By hit & trial method , we put x = 6 & y=7:

⇒ [tex]9(6)-8(7) = -2[/tex]

⇒ [tex]54-56= -2[/tex]

⇒ [tex]-2= -2[/tex]

Since , LHS = RHS x = 6 & y=7 satisfies the equation [tex]9x+8 = 8y+6[/tex] . So putting value of x=6 in [tex]9x+8[/tex] we get:

⇒ [tex]9x+8[/tex]

⇒ [tex]54+8[/tex]

⇒ [tex]62[/tex]

Therefore, Number of beads she have is 62 .

find the mean:
23,91,83,31,49,11,60,92

Answers

Answer:

55

Step-by-step explanation:

For the mean you add together all of the values, and then divide the sum by the number of digits there are.

23+91+83+31+49+11+60+92 = 440

440/8 = 55

23 + 91 + 83 + 31 + 49 + 11 + 60 + 92 = 440/8 = 55

Mean: 55.

Which equation is equivalent to the square root of x^2 + 81 = x + 10 (I put a picture up with the question and answers)

Answers

Answer:

See below

Step-by-step explanation:

sqrt(x^2+81)=x+10

x^2+81=x^2+20x+100 (which is one of the options)

81=20x+100

-19=20x

x=-19/20

So there's the work done.

A block of clay weighing 5 pounds is divided into 9 equal pieces.How muck does each piece way

Answers

Answer:

5/9 pounds or rounded 0.5555... pounds

Step-by-step explanation:

Step 1:  Make an equation

5 / 9 = x

Step 2:  Solve

5 / 9 = x

5/9 pounds or rounded 0.5555... pounds

Answer: 5/9 pounds or rounded 0.5555... pounds

Answer:

5/9 of a pound

Step-by-step explanation:

5 pounds of clay is divided into 9 equal pieces

5 ÷ 9

This can be written as a fraction

5/9

Each block weighs 5/9 of a pound

Hope this helps :)

The measure (in inches) of the sides

Answers

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what is the sum of angles in a triangle​

Answers

Answer: 180 degrees

Step-by-step explanation:

A triangle has 3 sides which is always equal to 180 degrees.

I hope this helps.

Answer:

180 degrees

Step-by-step explanation:

All triangles have three sides and are suplementary (meaning they add up to 180 degrees) so the answer to your question is 180 degrees.

Find the measure of < B

Answers

The measure of angle b is 25°.

Solution:

Given data:

The "L" shape angle is a right angle.

Right angle is splitted by another line and two angles are formed.

One angle is 65° and the other angle is b.

Let us find the other angle b.

65° + m∠b = 90°

Subtract 65° from both sides of the equation.

m∠b = 90° – 65°

m∠b = 25°

Hence the measure of angle b is 25°.

which equation goes with the table?​

Answers

Answer:

y=3x that is the answer

Write the sentence as an equation.

19 increased by d is 234

Answers

Answer:

19+d=234

Step-by-step explanation:

"increased by d" is addition. "is" is equal. So Putting these together it would be 19+d=234.

Hope this helped!

is this true or false

Answers

Answer:

true is the answer off this question

Answer:

True

Step-by-step explanation:

3n would mean 3 times n where 3 is the coefficient.

=
Question 2 of 30
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If the measure of one exterior angle of a regular polygon is 40 degrees, how many sides does the polygon have?

Answers

Answer:

The polygon has 9 sides

Step-by-step explanation:

we know that

A regular polygon has equal length sides and equal interior angles

step 1

Find the measure of the interior angle

Remember that

The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)

Let

x ----> the measure of each interior angle in the regular polygon

so

[tex]x+40^o=180^o[/tex]

solve for x

[tex]x=180^o-40^o=140^o[/tex]

step 2

Find the number of sides of the regular polygon

we know that

The measure of each interior angle in a regular polygon is given by the formula

[tex]x=\frac{(n-2)180^o}{n}[/tex]

where

n is the number of sides of the polygon

substitute the given values

[tex]140^o=\frac{(n-2)180^o}{n}[/tex]

solve for n

[tex]140n=180n-360\\180n-140n=360\\40n=360\\n=9\ sides[/tex]

therefore

The polygon has 9 sides

25 points plz help!!! Calculate the equation of the line through the points (-1, 1), (4, 0), and (24, -4)

Answers

So if the line is linear we can use slope intercept form to find the equation of the points: y=mx+b

To calculate m, the slope we subtract two of the points (I’ll use the first two):

(-1, 1)
(4, 0)

This equals 0-1/4+1, which simplifies to -1/5

So the slope is -1/5 and we can put that into slope intercept form along with a point to get b, the y-intercept.

So, y=-1/5x+b

Now we substitute x and y with a point.

1=-1/5(-1)+b
1=1/5+b
b=4/5

So the equation is:
y=-1/5x+4/5

I hope this helps!

The equation of the line is y=-1/5x+4/5.

Calculating m, the slope we subtract two of the points,

(-1, 1)

(4, 0)

This equals 0-1/4+1, which simplifies to -1/5

The slope is -1/5 and we can put that into the slope-intercept form along with a point to get b, the y-intercept.

So, y=-1/5x+b

Substituting x and y with a point.

1=-1/5(-1)+b

1=1/5+b

b=4/5

So, the equation is y=-1/5x+4/5.

What is the Equation of a Line?

The equation of a line is a single illustration of numerous points on the line. the general form of the equation of a line is of the form ax + via + c = zero and any factor on the road satisfies this equation. these two minimal requirements to shape the equation of a line are the slope of the road and a factor on the line.

Learn more about Equation of a Line here: https://brainly.com/question/13763238

#SPJ2

2x + 3y = 2
x + 6y = 4

Answers

Answer:

x=0 and y=2/3

Step-by-step explanation:

Multiply top equation by 2 -> 4x+6y=4

Cancel out the "6y"s by elimination -> 3x=0

Divide both sides by 3 -> x=0

Plug x=0 into x+6y=4 to get y -> 0+6y=4 -> 6y=4 -> y=4/6=2/3

So x=0 and y=2/3

What is X+x+x+2 equivalent to?

Answers

Answer:

3X+2

Step-by-step explanation:

X+X+X+2=3X+2



Question 1
Graph the line that passes through the two points.
(−
3
2

,−
3
2

), (
3
2

,
3
2

)

Answers

Answer:

The equation of the line is y=1x and I will show you a picture of a graph with your points and a line of that equation.

Step-by-step explanation:

At the beginning of a board game, players take turns
drawing 7 lettered tiles. Are drawing A's on the first two tiles dependent or
independent events? Explain.

Answers

The second pick is dependent on the first one.

Let [tex]a[/tex] be the number of tiles with the letter A, and [tex]n[/tex] be the total number of tiles.

With the first pick, you have probability [tex]\frac{a}{n}[/tex] to pick an A, because you have [tex]a[/tex] "good" cases out of [tex]n[/tex] possible cases.

The second pick depends on the first one:

If you pick an A tile on the first pick, the probability of picking another A is now [tex]\frac{a-1}{n-1}[/tex]If you didn't pick an A tile on the first pick, the probability of picking another A is now [tex]\frac{a}{n-1}[/tex]

PLEASE HALPPP I NEED IT BRAINLIST IF CORRECT!!!!


The value of 23 + 33 = ___.

Answers

Answer:

56

Step-by-step explanation:

Step 1:  Combine

23 + 33

(20 + 30) + (3 + 3)

50 + 6

56

Answer:  56

Answer:

56

Step-by-step explanation:

23+33=56

~♥~♥≧∇≦≧∇≦≧∇≦≧∇≦

If a Subway train traveled 12 km in 8 minutes how many km/h was the train going?

Answers

Answer: 1.5 km/h

To find the speed use this:

distance/ time

12/8

Answer:

90km/h

Step-by-step explanation:

set up as this: 12km/8min = x/60min then cross multiply

12*60 = 720

8*x = 8x

solve for x

720 = 8x

90 = x

If 5 bags weigh the same as 3 blocks, how many blocks will 9 bags weigh?

Answers

The weight of 9 bags is 5.4 blocks

Solution:

Given that,

5 bags weigh the same as 3 blocks

We have to find how many blocks will 9 bags weigh

Let "x" be the weight of 9 bags

Then,

5 bags weigh the same as 3 blocks

9 bags weight the same as "x" blocks

From proportion we can say,

5 : 3 : : 9 : x

Therefore,

[tex]\frac{5}{3} = \frac{9}{x}\\\\5x = 27\\\\x = 5.4[/tex]

Thus the weight of 9 bags is 5.4 blocks

9 bags will be equal to 5.4 blocks

Step-by-step explanation:

Step 1 :

Given,

Weight of 5 bags = weight of 3 blocks

We need to find the weight of 9 bags

Step 2 :

From step 1 , we get

Weight of 1 bag = weight of 3 blocks ÷ 5

The weight of bags is in direct proportion to the weight of the blocks.

Hence

Weight of 9 bags =   3 blocks × 9 ÷ 5

                             =  [tex]\frac{27}{5}[/tex] blocks = 5.4 blocks

Step 3 :

Answer :

9 bags will be equal to 5.4 blocks


6. On day 1 of a bake sale, the group sold 125 chocolate chip cookies and 75 oatmeal cookies. They also received donations that
totaled $46. They raised $196 on day 1. Both types of cookies were sold for the same price. Write and solve an equation to find
how much they charged for each cookie.

Answers

Answer:$1.33

Step-by-step explanation: What I did is I subtracted the 46 dollars in donations from the total they raised on day 1 to get the amount for just the cookies $150. Then I added the amount of the 2 total of cookies sold = 200. Then, I took the amount of cookies sold and divided it by the amount they made selling the cookies = 1.33. 200 ÷ 150 = 1.33

I hope this helps

HELOOOOOOOOOOO ANYBODY THERE

Answers

Answer:

yes where is the question

Use a power of ten to estimate the product.

52.6 × 9

450
526
540
500

Answers

Answer:

A

Step-by-step explanation:

If you dissolve 10 grams of sugar in 30 grams of water you will make __ grams of __% sugar syrup

Answers

Answer:

25%

Step-by-step explanation:

Sugar Syrup = 40 grams

10 grams / 40 grams = 1/4

1/4 = 25%

Answer:

40 grams of 25% sugar syrup

Step-by-step explanation:

At a baseball game, a vendor sold a combined total of 232
sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

Answers

Answer:

Step-by-step explanation:

sodas ----x

hot dogs ---- y

x = 2y

x+y = 192

2y + y = 192

3y=192

y = 64

64 hotdogs and 128 sodas

a 34 inch piece of wood is 20% of a longer piece of wood. How long is the longer piece of wood?​

Answers

Answer:

170 inches

Step-by-step explanation:

34/x = 20/100

x = 170 inches

Answer: 170 inches

Step-by-step explanation: 20% multiply by 5(100%)

Substitute 20% with 34, and end with 170 inches

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