Write the inequality for the graph below. In two or three sentences, explain how you generated the inequality. Make sure to explain how you got the slope, y-intercept, and inequality.


Write The Inequality For The Graph Below. In Two Or Three Sentences, Explain How You Generated The Inequality.

Answers

Answer 1

Answer:

[tex]y<-\dfrac{1}{4} x+1\\OR\\ 4y<-x+4[/tex]

Step-by-step explanation:

First of all, let us try to find out the equation.

We can easily observe from the graph the values of x and y intercept.

x intercept is the value where y coordinate is 0.

We can see that y is 0 at x  = 4

So, x intercept (4, 0)

y intercept is the value where x coordinate is 0.

We can see that y is 1 at x  = 0

So, x intercept (0, 1)

Now, we have 2 points for the equation of line.

Slope intercept form:

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

Slope of a line:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]x_1 = 0\\x_2 = 4\\y_1 = 1\\y_2 = 0[/tex]

[tex]m=\dfrac{0-1}{4-0}\\\Rightarrow m =-\dfrac{1}{4 }[/tex]

[tex]y=-\dfrac{1}{4} x+c[/tex]

Putting the point (0, 1):

[tex]1=-\dfrac{1}{4} \times 0+c\\\Rightarrow c = 0[/tex]

So, the equation becomes:

[tex]y=-\dfrac{1}{4} x+1[/tex]

Let us try to put a point (0, 0) in the equation.

LHS becomes 0.

RHS becomes 1.

LHS < RHS (Only less than sign used because the line is dashed not solid)

So, the inequality is:

[tex]y<-\dfrac{1}{4} x+1\\OR\\ 4y<-x+4[/tex]


Related Questions

5.The ratio of the age of a mother and her son is 5:2. If the
age of the son is 16 years, find the age of mother.​

Answers

Answer:

The age of mother is:

40 years

Step-by-step explanation:

2a = 5b

b = 16

a = age of a mother

b = age of her son

2a = 5*16

2a = 80

a = 80/2

a = 40

probe:

2*40 = 5*16 = 80

Use the equation below to find v, if u = 20, a= 12, and t= 3.
v=u+at

Answers

Answer:

V is 56

Step-by-step explanation:

V= 20+12(3)

V= 20 + 36

V = 56

A rectangular flour canister has dimensions of 512 inches by 4 inches by 10 inches. A smaller sugar canister has dimensions of 312 inches by 3 inches by 8 inches. How much smaller is the volume of the sugar canister than the flour canister?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

What are the steps for using integer tiles to evaluate the expression 45-15?
ООО
Start with 15 tiles and separate them into 3 same-sized groups.
Start with 45 tiles and separate them into 15 same-sized groups.
Assemble 45 groups of 3 tiles each.
Assemble 45 groups of 15 tiles each.

Answers

Answer: B. Start with 45 tiles and separate them into 15 same-sized groups

Step-by-step explanation:

In this case, 45 is divided by 15

#1 we should start with the total amount (dividend) that is going to be divided which is 45

#2 we should separate the dividend into the divisors amount which is 15

with all the steps, we will get the 3 groups of 15 which will be the answer

#CarryOnLearning

Answer:

its b sorry im late

Step-by-step explanation:

Help 14x^2 + 10 - 3x^2- 3
a) 11x^2 + 2x + 7 ,b) 11x^2 + 10 ,c) 11x^2 + 13 ,d) 11x^2 + 7

Answers

Answer:

D) 11x² + 7

Step-by-step explanation:

combine "like" terms

10x - 5y = -25
l0x+8y=14

Answers

Greetings,

I hope you and your family are staying safe and healthy!

Answer: x = -1 and y = 3

Step-by-step explanation:

[tex]10x - 5y = -25 \\10x + 8y = 14[/tex]

Let's start by solving [tex]10x - 5y = -25[/tex] for [tex]x[/tex]

[tex]10x - 5y=-25[/tex]

Add 5y to both sides

[tex]10x - 5y + 5y = -25+5y \\10x = 5y - 25[/tex]

Now we need to divide both sides by 10

[tex]\frac{10x}{10} = \frac{5y-25}{10}[/tex]

[tex]x = \frac{1}{2} y + \frac{-5}{2}[/tex]

That's not the answer for x. We are not done yet :)

Now we need to substitute [tex]\frac{1}{2} y + \frac{-5}{2}[/tex] for [tex]x[/tex]

[tex]10x + 8y = 14\\10(\frac{1}{2} y + \frac{-5}{2} + 8y = 14[/tex]

Now we need to simply both sides

[tex]13y - 25 = 14[/tex]

Now we need to add 25 to both sides

[tex]13y - 25 + 25 = 14 + 25 \\13y = 39 \\y = \frac{39}{13} \\y=3[/tex]

We have the valuee for y! Now we need to find the value for x

To find the value of x, we need to substitute 3 for y in:

[tex]x = \frac{1}{2} y + \frac{-5}{2} \\x = \frac{1}{2} 3 + \frac{-5}{} \\x = -1[/tex]

Therefore,

The answer is x = -1 and y = 3

---------------------

Please kindly give me 5 stars and leave a thanks if you find my answer to be helpful. Thanks!

I need help with Q11 ASAP!!!

Answers

Answer:

Hey there!

When z=48, y=6.

z is 8 times as much as y.

11 part 1: z=8y

11 part 2: I'm going to attach a graph I created at the bottom of this answer :)

Let me know if this helps :)

Divide 36x3 − 96x2 + 48x by 12x.

Answers

3x2-8+4 so the answer is a

Answer:

3x^2-8x+4

Step-by-step explanation:

4. Find the domain I've got no clue, the lesson made no sense to me either.

Answers

Answer:

x is greater than or equal to -4 but less than or equal to 4

Step-by-step explanation:

The "domain" is all of the x values on the line. But there are an infinite amount of x-values there, so it must be written as that.

Answer:

See below.

Step-by-step explanation:

The domain is simply the range of x-values the graph encompasses. From the given graph, we can see that the graph stretches from x=-4 to x=+4.

However, note that the graph does not include -4 since the point is an open circle. However, it does include +4 since the point is a closed circle. Therefore, the domain of this graph is:

In interval notation:

[tex](-4,4][/tex]

(Parenthesis on the left because -4 is not included. Brackets on the right because +4 is included.)

How many different lines can a plane contain?

Answers

Answer:

For example if the three points are A, B and C in your diagram then there are infinitely many planes that contain the points. The final point is that if the three points do not lie on a line then there is exactly one plane that contains the points.

Step-by-step explanation:

pls help i’m very confused

Answers

Answer:

m<EBD = 130 degrees

Step-by-step explanation:

We can say that Line EC is bisected by Line AD at point B.  The angle CBD = 50 degrees is a supplement of the bisected line EC.  With this in mind we can say:

EBD + CBD = 180

And we can solve for EBD:

EBD + CBD = 180

EBD + 50 = 180

EBD = 130

So the measure of angle EBD is 130 degrees.

Cheers.

Answer:

130°

Step-by-step explanation:

You need the remaining angle. 50° and the missing angle make up 180°. Therefore, you need to subtract 50 from 180. 180 - 50 = 130. Hence, the missing angle is 130°.

I hope it's ok if I used your photo!

Which diagram BEST represents the relationship among integers, rational numbers, and whole numbers?

Answers

Answer:

The correct option is;

A)

Step-by-step explanation:

By the representation of numbers in a figurative for, we have;

1) Th rational numbers that can be expressed in the form a/b, where a and b are real numbers

2) The integers are the direct subset of the set of rational numbers and are displayed in he next larger ellipse in the figure

3) The whole numbers are the direct subset of the set of integers.

Answer:

the correct option is A

Step-by-step explanation:

please mark as brainliest

this is the diagram that is right

Parallel lines m and n are cut by a transversal t. Which two angles are NOT corresponding angles?​

Answers

Answer:

Hey there!

Corresponding angles are in the same position, so 1 and 6 are not corresponding angles.

Let me know if this helps :)

Answer:

A

step by step explanation

1 and 6

I need help I have to indicate how many terms it contains then copy and simplify each expression by combining like terms

Answers

Answer:

b) −3y2−2x+1

d) −4xy+4y2−y−10

Step-by-step explanation:

b) -4x + y2 - 9 + 10 - x + 3x - 4y2

(i have just underlined, italic and made it bold to show the like terms)

-4x - x + 3x = -2x

y2 - 4y2 = -3y2

-9 + 10 = 1

-2x - 3y2 + 1

d) 0 - 20 - 5xy + 4y2 + 10 - y + xy

(i have just underlined, italic and made it bold to show the like terms, however the '-y' and '4y2' have no like terms)

0 - 20 + 10 = - 10

-5xy + xy = - 4xy

-10-4xy+4y2-y

Help with the question below pls, will mark Brainiest

Answers

Answer:

original price = $270 new price = $306.99

Step-by-step explanation:

To solve this we first have to find the original price.

13.7 % of the original price is $36.99 from the  question.

We multiply 100 /13.7 * 13.7 /100 to get the 100% value or the original price.

We also multiply 100 /13.7 * 36.99 = $270 to get the original value.

So the original price is $270.

We add $36.99 to the original price to get the new price.

$270 + $36.99 = $306.99

find the area if each figure. round the nearest hundredth where neccessary.​

Answers

Answer:

351.48cm²

Step-by-step explanation:

Heron’s Formula

Find half the perimeter (30+30+26)/2=43

It’s the square root of each side subtracted from 43, multiplied together, times 43.

√(43-30)*(43-30)*(43-26)*43=√13*13*17*43=√=123539=351.481cm²

Area of triangle is, 351. 39 cm²

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

All the sides of triangles are,

⇒ 30 cm, 30 cm, and 26 cm

We know that;

Area of triangle = √ s (s - a) (s - b) (s - c)

Where, 's' is the semi perimeter of the triangle, and a, b and c are three sides of triangle.

Here, Sides are,

⇒ a = 30

⇒ b = 30

⇒ c = 26

Hence, We get;

⇒ s = (a + b + c) / 2

⇒ s = (30 + 30 + 26) / 2

⇒ s = 86 / 2

⇒ s = 43 cm

So, The area of triangle is,

⇒ Area of triangle = √ s (s - a) (s - b) (s - c)

⇒ Area of triangle = √ 43 (43 - 30) (43 - 30) (43 - 26)

⇒ Area of triangle = √ 43 × 13 × 13 × 17

⇒ Area of triangle = 13 √ 731

⇒ Area of triangle = 13 × 27.03

Area of triangle = 351. 39 cm²

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ2


[tex] - (x + 2) - 2 x = - 2(x + 1)[/tex]
how do I solve this when there no number at the beginning?​

Answers

got it from algebra calculator

I need help with this plz.

Answers

Move each point 3 spaces to the right and connect the dots
Answers:T ' = (3,0)Q ' = (1, 0)M ' = (0,2)Y ' = (0,3)

========================================================

Explanation:

T = (0,0) moves to T ' = (3,0) since we shift 3 units to the right. We add 3 to the x coordinate. The y coordinate does not change since we're not shifting up or down.

Q = (-2,0) moves to Q ' = (1,0) after applying the same rule we did to point T.

M = (-3,2) moves to M ' = (0,2)

Y = (-3,3) moves to Y ' = (0,3)

See the diagram below

Ali is making pottery. He uses 38 of a 2-pound bag of clay to make a set of bowls. Each set has 4 bowls. Drag one expression next to each question. The correct expression for each row is a way to answer that question.

Answers

Answer:

[tex]\frac{3}{8}[/tex]

[tex]2\times \frac{3}{8} = \frac{3}{4}[/tex]

Step-by-step explanation:

According to the given scenario given that

if Ali uses [tex]\frac{3}{8}[/tex]  of 2 pounds of clay for a game of 4 bowls

[tex]\frac{3}{8} (2) = \frac{6}{8} = \frac{3}{4}[/tex]

here Ali will use the number of pounds of clay to create a game

[tex]2\times \frac{3}{8} = \frac{3}{4}[/tex]

Now, we need to compute the number of pounds of clay that should be used in every bowl, we need to divide the prior outcome by 4 which is

[tex]\frac{2\times \frac{3}{8}}{4}[/tex]

e=mc^2 solve for c please help will mark brainliest

Answers

Answer:

c= - (sqr em)/m

Step-by-step explanation:

Answer:

c = ± [tex]\sqrt{\frac{e}{m} }[/tex]

Step-by-step explanation:

Given

e = mc² ( divide both sides by m to isolate c² )

[tex]\frac{e}{m}[/tex] = c² ( take the square root of both sides )

c = ± [tex]\sqrt{\frac{e}{m} }[/tex]

slope of (6,7) (9,8)

Answers

Answer:

1/3

Step-by-step explanation:

We can find the slope using the slope formula

m = (y2-y1)/(x2-x1)

    = ( 8-7)/(9-6)

   = 1/3

Answer:

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

Step 1: Use slope formula

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

[tex]m = \frac{8 - 7}{9 - 6} [/tex]

[tex]m = \frac{1}{3} [/tex]

Therefore the slip of the equation is 1/3

Which situation can be represented by -35 + 35? Choose all that apply.

Last night Jenny read 35 fewer pages than the night before. She reads 35 pages tonight.

A diver is 35 feet below the surface of the water and then comes up to the surface.

Eric adds 35 milliliters of water to a test tube containing 35 milliliters.

Manuel owes the electric company $35 and he pays them $35.

Answers

Answer: B & D

Step-by-step explanation:

In this scenario we want to come out with a situation where both sides are in an even playing field, as the equation solves to zero.

If a diver is 35 feet below water (-35) and he comes up to breathe, he goes up 35ft (35) meaning he is at the surface (0).

If Manuel is in debt for 35$ (-35) and then he pays off the 35$ (+35) then he is even (at 0).

Answer:

A diver is 35 feet below the surface of the water and then comes up to the surface.

For the real valued functions f(x) = x-4/x-5 and g(x) = 4x+17, find the composition fog and specify its domain using interval notation.
(F o g)(x)=
Domain of f o g:

Answers

Answer:

(f o g)(x) = [tex]\frac{4x+13}{4x+12}[/tex]

Domain : (-∞, -3) ∪ (-3, ∞)

Step-by-step explanation:

Given : f(x) = [tex]\frac{x-4}{x-5}[/tex]

            g(x) = 4x + 17

We have to find the value of (f o g)(x).

Since (f o g)(x) = f[g(x)]

                        = [tex]\frac{(4x+17)-4}{(4x+17)-5}[/tex]

                        = [tex]\frac{4x+13}{4x+12}[/tex]

For the Domain of the function (f o g)(x),

Given function is defined for (4x + 12) ≠ 0

4x ≠ -12

x ≠ -3

Therefore, Domain of the function will be : (-∞, -3) ∪ (-3, ∞)                    

What is the first derivative of p with respect to q (i.e., differentiate P with respect to q)?P = 6q2 + 3

Answers

Answer:

12q

Step-by-step explanation:

Given P = 6q² + 3, we are to find the derivative of the function with respect to q. Generally if y = axⁿ;

dy/dx = naxⁿ⁻¹

Rewriting the given equation as P =  6q² + 3q⁰

Using the formula to find the derivative;

dP/dq = 2(6)q²⁻¹ + 0(3)q⁰⁻¹

dP/dq = 12q¹ + 0

dP/dq = 12q

Hence the derivative of the function P with respect to q is 12q

0.4x - 2.5 = 1.3x + 4.7

Answers

Simplifying
0.4x + -2.5 = 1.3x + 4.7

Reorder the terms:
-2.5 + 0.4x = 1.3x + 4.7

Reorder the terms:
-2.5 + 0.4x = 4.7 + 1.3x

Solving
-2.5 + 0.4x = 4.7 + 1.3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.3x' to each side of the equation.
-2.5 + 0.4x + -1.3x = 4.7 + 1.3x + -1.3x

Combine like terms: 0.4x + -1.3x = -0.9x
-2.5 + -0.9x = 4.7 + 1.3x + -1.3x

Combine like terms: 1.3x + -1.3x = 0.0
-2.5 + -0.9x = 4.7 + 0.0
-2.5 + -0.9x = 4.7

Add '2.5' to each side of the equation.
-2.5 + 2.5 + -0.9x = 4.7 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -0.9x = 4.7 + 2.5
-0.9x = 4.7 + 2.5

Combine like terms: 4.7 + 2.5 = 7.2
-0.9x = 7.2

Divide each side by '-0.9'.
x = -8

Simplifying
x = -8

Answer:

x=-8

Step-by-step explanation:

Step 1.)   0.4x-2.5=1.3x+4.7

Step 2.)  -2.5=1.3x-0.4x+4.7

Step 3.)   -2.5=0.9x+4.7

Step 4.)   -2.5-4.7=0.9x

Step 5.)   -7.2=0.9x

Step 6.)    -7.2/0.9=x

Step 7.)    -8=x

Solve the following equations by factorisation method.Only factorisation not dharacharya.​

Answers

Hello, please consider the following.

When [tex]x_1[/tex] and [tex]x_2[/tex] are two roots, we can factorise as

[tex]ax^2+bx+c=a(x-x_1)(x-x_2)=a(x^2-(x_1+x_2)x+x_1x_2)=0[/tex]

So for the first equation, we can say that the sum of the zeros is

[tex]\dfrac{a^2+b^2}{2}=\dfrac{a^2}{2}+\dfrac{b^2}{2}[/tex]

and the product is

[tex]\dfrac{a^2b^2}{4}=\dfrac{a^2}{2}\dfrac{b^2}{2}[/tex]

So we can factorise as below.

[tex]4x^2-2(a^2+b^2)x+a^2b^2=(2x-a^2)(2x-b^2)=0[/tex]

And the solutions are

[tex]\boxed{\sf \n\bf \ \dfrac{a^2}{2} \ \ and \ \ \dfrac{b^2}{2}}[/tex]

For the second equation, we will complete the square and put the constant on the right side and take the root.

Let's do it!

[tex]9x^2-9(a+b)x+2a^2+5ab+2b^2=0\\\\9(x-\dfrac{a+b}{2})^2-9\dfrac{(a+b)^2}{4}+2a^2+5ab+2b^2=0\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{9(a+b)^2-8a^2-20ab-8b^2}{4}\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{9a^2+18ab+9b^2-8a^2-20ab-8b^2}{4}\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{a^2+b^2-2ab}{4}=\dfrac{(a-b)^2}{4}\\\\(x-\dfrac{a+b}{2})^2=\dfrac{(a-b)^2}{2^2\cdot 3^2}[/tex]

We take the root, and we find the two solutions

[tex]\begin{aligned}x_1&=\dfrac{a+b}{2}-\dfrac{a-b}{6}\\\\&=\dfrac{3a+3b-a+b}{6}\\\\&=\dfrac{2a+4b}{6}\\\\&\boxed{=\dfrac{a+2b}{3}}\end{aligned}[/tex]

[tex]\begin{aligned}x_1&=\dfrac{a+b}{2}+\dfrac{a-b}{6}\\\\&=\dfrac{3a+3b+a-b}{6}\\\\&=\dfrac{4a+2b}{6}\\\\&\boxed{=\dfrac{2a+b}{3}}\end{aligned}[/tex]

Thank you.

Louise is making bags of party favors. She has 16 stickers and 24 bracelets. She wants each bag to be alike, and she needs to use all of the stickers and bracelets. What is the greatest number of party bags she can make?

Answers

Find the multiples of each number:

16:  2, 4, 8, 16

24: 2, 3, 4, 6, 8, 12

Now for the greatest number of bags, use the greatest common factor.

The greatest common factor is 8

16 / 8 = 2

24 / 8 = 3

She can make 8 bags which contains 2 stickers and 3 bracelets in each bag.

Answer:

8 party bags.

Step-by-step explanation:

We are dealing with greatest common factor.

16= 1,2,4,8

24=1,2,3,4,6,8,12

Now we see the greatest common factor is 8 bags. Since we know its 8 bags, we can make this conclusion. 16/8= 2 stickers each bag. 24/8=3 bracelets each bag. So, the greatest number of party bags she can make is: 8 bags.

More info: 2 stickers each. 3 bracelets each.

Hope this helps! :)

Order the following from LEAST to GREATEST: 26, 6.25, 4.7, 16​

Answers

Answer:

4.7 , 6.25 , 16 , 26

Answer:

From least to greatest

4.7

6.25

16

26


What is the measure of ZABD?
A. 329
B. 589
C. 640
D. 1489
E. 180

Answers

Answer:

148

Step-by-step explanation:

a straight line is always 180 degrees. therefore if you subtract 32 from 180 you are left with 148 degrees.

hope this helps

Answer:

D

Step-by-step explanation:

∠ ABD and ∠ ABC are adjacent angles and are supplementary, thus

∠ ABD + 32° = 180° ( subtract 32° from both sides )

∠ ABD = 148° → D

What is the value of the expression below when y=8y and z=8z? 10y-3z

Answers

Answer:

80y-24z

Step-by-step explanation:

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