Solve the inequality. Graph the solution

Solve The Inequality. Graph The Solution

Answers

Answer 1

Answer:

1.  y > -3/5 and y < 7/5        Direction to  graph 1 below.

2. r > 1 and r < 13/3              Direction to  graph 2 below

Step-by-step explanation:

|5y - 2| + 5 > 0

Case 1    Positive ||                                 Case 2  Negative ||

5y - 2 + 5 > 0                                       -(5y - 2) + 5 > 0

5y +3 > 0                                             -5y + 2 +5 > 0

5y > -3                                                  -5y + 7 > 0

y .> -3/5                                               -5y > -7

                                                             -y > -7/5

                                                             y < 7/5   y value negative, change sign

The graph 1: open circle at -3/5;  close circle at 7/5; shade between these two numbers.  

2.    |8-3r|< 5

       Case I                                           Case II

8 - 3r < 5                                                   -(8-3r) < 5

-3r < 5 - 8                                                   -8 + 3r < 5

-3r < -3                                                         3r < 5 + 8  

-r < -3/3                                                        3r <  13

r >1       r is negative, change                        r < 13/3

            the direction of the sign

Graph 2: Open circle at 1; open circle at 13/3;  shade between the two numbers.                    

   


Related Questions

Can y'all help me this question ASAP this all I need

Answers

5/8x + 1/5x can be written with a common denominator:
25/40x+ 8/40x = 99

This can be simplified to:
33/40x = 99

Next times both sides by 40
33x = 3960

Then, divide both sides by 33
x = 3960/33
x = 120

WILL MARK BRAINLIEST
Translate into expression
One-half the difference of thrice a number and four

Answers

Answer:

[tex]3x - 4[/tex] ÷ [tex]\frac{1}{2}[/tex]

3x(5+4)=7

what dose that =

Answers

the answer is x=-15/5

a basketball player makes 140 out of 350 free throws. find the percent by using equivalent fractions​

Answers

Answer:

140/350 = 14/35 = 2/5 = 40/100 = 40%

Step-by-step explanation:

I hope this helps

<3

69632 + 69469 - 59303 ​

Answers

Answer: 79798

Step-by-step explanation:

139101 - 59303

= 79798

please give me a brainliest answer

Answer:

79798

Step-by-step explanation:

  69632

+ 69469

=  139101

-   59303

=  79798

Hope this helps :)

How does value of a affect the
parabola?

Answers

The parabola appears wider when |a| >1, the parabola appears thinner

When a is positive, the parabola opens upwards, but when a is negative parabola opens downwards

Step-by-step explanation:

brainliest?

Solve the problem based on the picture

Answers

Step-by-step explanation:

those are the x values in the graph above

now the slope

first, find the derivative = (-2*x)/(9+(6*x^2)+x^4)+(50*Cos(x))/(3+x^2)+((-100*x)*Sin(x))/(9+(6*x^2)+x^4)

then substitute the X values

the slope at first point=0.00214262528

the slope at secondpoint=0.29521512101

the slope at the third point=0.29521512101

If Sarah sold 20 bags of dog treats for $3.25 each, how much money did she earn? You must show your work to earn full credit.

Answers

Answer:

$65

Step-by-step explanation:

20 bags of dog treats multiplied by 3.25 = $65.00

Sarah made 65 dollars.

Answer:

Sarah earned $65.

Step-by-step explanation:

Create an equation.

20 representing the bags she has sold, 3.25 representing the value of each bag. If Sarah sold 20 bags of dog treats, with each of them being worth 3.25, then 20(3.25) = 65, meaning Sarah earned $65.

I need help please asap!!

Answers

Answer:

I think its step 2.

Step-by-step explanation: Correct me if im wrong. Hope it helps. :)

Answer:

Step 1 ;

Step-by-step explanation:

Convert the division into a multiplication and then flip the fraction .

[tex] \frac{7}{9} \div \frac{3}{8} \\ \\ \\ \frac{7}{9} \times \frac{8}{3} [/tex]

The Cortez family is traveling from Miami to Washington, D.C. They plan to average 55 miles per hour on their trip.


About how many drive hours will it take the Cortez family to make the trip?

Answers

Step-by-step explanation:

Miami is approximately 1,054 mi away from Washington DC. assuming the Cortez family is driving in a straight line the time they will be on the road is

[tex]let \: h = hrs[/tex]

[tex] 1054mi \div \frac{55mi}{h } \\ \frac{1054mi}{1} \times \frac{h}{55mi} \\ = \frac{1054mi(h)}{55mi} [/tex]

The miles unit, mi cancels and leaves us with hours, h

[tex] \frac{1054 \: h}{55} \: \: \: \: is \: approx. \: \: \: \: 19.16 \: \: hrs[/tex]

HELP PLSSS THIS IS HARD SOMEONEEE

Answers

Answer:

Chase is correct. the first one

Step-by-step explanation:

Josiah skateboards from his house to school 3 miles away. It takes him 36 minutes.

How many minutes will it take Josiah to skateboard to his friend Sebastian’s house, which is 2 1/2

miles from school, if he travels at the same rate that he did from his house to school?


In the box below, type the number that goes in the blank.

Answers

Using the speed - distance relationship, the number of minutes it will take Josiah to cover a distance of 2.5 miles is 30 minutes.

Calculating Josiah's speed :

Speed = (distance ÷ time)

Speed = (3 ÷ 36) = 0.08333 miles per minute.

Time taken to cover a distance of 2.5 miles :

Time taken = (Distance ÷ Speed)

Time taken = (2.5 ÷ 0.08333) = 30 minutes

Therefore, it will take 30 minutes for Josiah to cover a distance of 2.5 Miles

Learn more : https://brainly.com/question/18112348


Someone help :(( thank youuuu so much if u do

Answers

Answer:

-10

Step-by-step explanation:

The equation would be -8 - (-10) = 2. When subtracting a negative, you are actually just adding a positive. It's like the two negative signs cancel each other out, so it would look more like -8 + 10 = 2. For the answer box, just put -10.

How do you factor x^2 + 4x - 4?

Answers

Answer:

you cant factor it.

Step-by-step explanation:

A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 10 mm halfway across a horizontal
distance of 80 mm.
Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. (4 points)
Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points)

Answers

A parabola is a mirror-symmetrical U-shape.

The equation of the parabola is [tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]The focus is [tex]\mathbf{Focus = (80, -1760)}[/tex]The directrix is [tex]\mathbf{y = \frac{1}{640}}[/tex]The axis of the symmetry of parabola is: [tex]\mathbf{x = 80}[/tex]

From the question, we have:

[tex]\mathbf{Vertex: (h,k) = (80,10)}[/tex]

[tex]\mathbf{Origin: (x,y) = (0,0)}[/tex]

The equation of a parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

Substitute the values of origin and vertex in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{0 = a(0 - 80)^2 + 10}[/tex]

[tex]\mathbf{0 = a(- 80)^2 + 10}[/tex]

[tex]\mathbf{0 = 6400a + 10}[/tex]

Collect like terms

[tex]\mathbf{6400a =- 10}[/tex]

Solve for a

[tex]\mathbf{a =- \frac{1}{640}}[/tex]

Substitute the values of a and the vertex in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]

The focus of a parabola is:

[tex]\mathbf{Focus = (h, \frac{k+1}{4a})}[/tex]

Substitute the values of a and the vertex in [tex]\mathbf{Focus = (h, \frac{k+1}{4a})}[/tex]

[tex]\mathbf{Focus = (80, \frac{10+1}{4 \times -\frac{1}{640}})}[/tex]

[tex]\mathbf{Focus = (80, -\frac{11}{\frac{1}{160}})}[/tex]

[tex]\mathbf{Focus = (80, -11\times 160)}[/tex]

[tex]\mathbf{Focus = (80, -1760)}[/tex]

The equation of the directrix is:

[tex]\mathbf{y = -a}[/tex]

So, we have:

[tex]\mathbf{y = \frac{1}{640}}[/tex] ----- the directrix

The axis of symmetry is:

[tex]\mathbf{x = -\frac{b}{2a}}[/tex]

We have:

[tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]

Expand

[tex]\mathbf{y = -\frac{1}{640}(x^2 -160x + 6400) +10}[/tex]

Expand

[tex]\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x - 10 +10}[/tex]

[tex]\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x }[/tex]

A quadratic function is represented as:

[tex]\mathbf{y = ax^2 + bx + c}[/tex]

So, we have:

[tex]\mathbf{a = -\frac{1}{640}}[/tex]

[tex]\mathbf{b = \frac{1}{4}}[/tex]

Recall that:

[tex]\mathbf{x = -\frac{b}{2a}}[/tex]

So, we have:

[tex]\mathbf{x = -\frac{1/4}{2 \times -1/640}}[/tex]

[tex]\mathbf{x = \frac{1/4}{1/320}}[/tex]

This gives

[tex]\mathbf{x = \frac{320}{4}}[/tex]

[tex]\mathbf{x = 80}[/tex]

Hence, the axis of the symmetry of parabola is: [tex]\mathbf{x = 80}[/tex]

Read more about parabola at:

https://brainly.com/question/21685473

Find the unknown sizes of angles in the following figure (I need step by step explanation and i might give brainliest):​

Answers

Answer:

x = 54° , y = 29°

Step-by-step explanation:

The sum of the 3 angles in Δ ABC = 180° then

x = 180° - (72 + 54)° = 180° - 126° = 54°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of Δ CQR , then

y + 25° = x

y + 25° = 54° ( subtract 25° from both sides )

y = 29°

Answer:

x = 54

y = 29

Step-by-step explanation:

First, find the magnitude of x. To do this, add the angles inside triangle ABC, which means to add 72 + 54 + x which is equal to 180 because of the rule, the sum of the interior angles of a triangle is 180. So, when the equation is simplified, you get the answer as x = 54. Then, find the magnitude of y. The magnitude of an angle drawn around a point on a straight line is always 360, and the magnitude of the same point, but only on one side of the straight line is always 180. So, we can say that the unnamed angle in the triangle CQR is 180-x, which means 180-54 because we got x as 54 earlier. Therefore, the magnitude of the unnamed angle is 126. Now, apply the same rule we used before, the sum of the interior angles of a triangle is 180, to the triangle QCR. 25 + 126 + y = 180. When this is simplified, 29 is obtained.

To find x,

 72 + 54 + x = 180 (the sum of the interior angles of a triangle is 180)

        126 + x = 180

126 + x - 126 = 180 - 126

                  x = 54

To find y,

25 + 126 + y = 180

         151 + y = 180

 151 + y - 151 = 180 - 151

                  y = 29

the ratio of yellow balls to green balls in a a bag is 4:2
what faction of the balls are yellow?

Answers

4/6
= 2/3

As we take total and divide by what we looking for

.

Answer: for every 1 green ball there is 2 yellow balls so 75% yellow 25% green I think unless I’m wrong which I wouldn’t be surprised

Step-by-step explanation:

Based on What you learned about economics of organic produce, explain why buying organic food is so expensive

Answers

Answer:(:

Step-by-step explanation:

Organic food production is usually more labour and management intensive and happens on a smaller scale ie on smaller farms which lack the benefit of economy of scale.

Which graph shows the solution to this system of inequalities? y ≤ x + 1 y > -3x – 2

Answers

x – 4y < 4

x - 4 < 4y

1/4x -1
it is y > so the area is above the line y = 1/4x -1 so D is not right


second one

y < x + 1

please help asap!!
-
-
-
-

Answers

Answer:

a. y = 2x + 1

b. 20

Step-by-step explanation:

a. With each increasing figure, two more blocks are added on. Through this, we can determine the rule:

y = 2x + 1

y being the total number of blocks in a figure

x being the number of the figure.

_________

b. To figure out which figure number has 41 squares, we can set the equation we found equal to 41.

41 = 2x + 1

40 = 2x

20 = x

So figure 20 will have 41 squares.

Which matrix multiplication is defined ?

Answers

Answer:

A. CB

Step-by-step explanation:

3 x 2 (C is a 3 by 2) matrix can be multiplied to a 2 x 2 (B is a 2 by 2) matrix since C has 2 columns that are equal to the number of rows in the second matrix B.

A way of checking if two matrices can be multiplied is to first check the number of columns the first matrix contains and then check the number of rows that the second matrix contains.

If the number of columns in the first matrix equal the number of rows in the second matrix then that means it is possible to multiply these matrices.

Given that rectangle LMNO with coordinates L(0,0), M(3,0), N(3,7), O(0,7), P is the midpoint of LM⎯⎯⎯, and Q is the midpoint of NO⎯⎯⎯, which of the following proves that PQ=LO?

Answers attached

Answers

The midpoint of a line divides the line into equal segments.

The option that proves PQ = LO is (a)

The given parameters are:

[tex]\mathbf{L = (0,0)}[/tex]

[tex]\mathbf{M = (3,0)}[/tex]

[tex]\mathbf{N = (3,7)}[/tex]

[tex]\mathbf{O = (0,7)}[/tex]

P is the midpoint of LM.

So, we have:

[tex]\mathbf{P = \frac{LM}{2}}[/tex]

[tex]\mathbf{P = (\frac{(0 +3}{2},\frac{0+0}{2})}[/tex]

[tex]\mathbf{P = (\frac{3}{2},0)}[/tex]

Q is the midpoint of NO.

So, we have:

[tex]\mathbf{Q = \frac{NO}{2}}[/tex]

[tex]\mathbf{Q = (\frac{(3 +0}{2},\frac{7+7}{2})}[/tex]

[tex]\mathbf{Q = (\frac{3}{2},7)}[/tex]

Distance PQ is calculated as follows:

[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

This gives:

[tex]\mathbf{PQ = \sqrt{(3/2 - 3/2)^2 + (0 - 7)^2}}[/tex]

[tex]\mathbf{PQ = \sqrt{ 7^2}}[/tex]

[tex]\mathbf{PQ = 7}[/tex]

Distance LO is calculated as follows:

[tex]\mathbf{LO = \sqrt{(0 - 0)^2 + (0 - 7)^2}}[/tex]

[tex]\mathbf{LO = \sqrt{ 7^2}}[/tex]

[tex]\mathbf{LO=7}[/tex]

So, we have:

[tex]\mathbf{PQ = 7}[/tex]

[tex]\mathbf{LO=7}[/tex]

Thus:

[tex]\mathbf{PQ = LO}[/tex]

Hence, the correct option is (a)

Read more about distance and midpoints at:

https://brainly.com/question/11231122

please answer the question in the picture <3​

Answers

Answer:

A. 40

Step-by-step explanation:

Find the surface area of the regular hexagonal prism. Round your answer to the nearest hundredth.
A. 528 55 mm
B. 628 55 mm
C. 720 55 mm
D. 860 55 mm

Answers

860.55 mm

Explanation:

The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):

S= 6*b*(a+h)

where b = is the side of the base, a is the apothem length, and h = the height

S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm

Could have also have used another formula without the apothem:

S =3 * √3 * b² + 6 * b * h

S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55  + 528 = 860.55 sq mm

need help dont understand it

Answers

Answer:

It is Linear Increasing.

Step-by-step explanation:

If it is a straight line, it is a linear function. if it is NOT a straight line, then it is a non-linear function.

Edit: When the line starts from the top of the y-axis, then it is decreasing. If the line starts from the Origin Point (as shown in the picture you included), then it is increasing. I hope this helps you in Linear and Non-linear relationships.

The price of a notebook has risen to $3.45 today. Yesterdays price was $3.20. find the percentage increase, round your answer to the nearest tenth of a percent.

Answers

Answer:

7.8%

Step-by-step explanation:

Yesterday’s price =$3.20

Today’s price =$3.45

Increase =today’s price - yesterday’s price

That’s $3.45 - $3.20

= $0.25

Percentage increase = increment /yesterday’s price x 100%

That’s $0.25/$3.20 x 100%

0.0781 x 100%

7.81

7.8%

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

3.5 hours

Step-by-step explanation:

You are trying to isolate X (get X by it self) to do that you need to divided both sides of the equation by 60 resulting in X=3.5

Divide both sides by 60 to isolate x

x=3.5 hours

Hope this helps you! :)

[tex]GraceRosalia[/tex]

FOR BRAINILY
Answer fast please

Answers

Answer:

37 degrees

Step-by-step explanation:

A triangle is 180 degrees total, so if you find what other number with 106 degrees equals 180 degrees you would get 37 degrees.

i think its 37 degrees sorry if incorrect

find the 10th and 21st terms of -3,1,5,9

Answers

Answer:

33, 77

Step-by-step explanation:

-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77

Answer:

The 10th Term is; 33.

The 21st Term is; 77

Step-by-step explanation:

You need to add 4 each time to get a term. The first term is -3 so -3+4=1. Then 1+4=5, and 5+4=9 and so on.

-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77

Can someone please help im very bad at these

Answers

Answer:

of the 30 students in the class, 2/3 are wearing jackets. How many students in the class are wearing jackets.

Step-by-step explanation:

For the first one, the equation would be 1/3(30)

for the second, the equation would be 3/2(30)

and the last on would be the same as the first. 1/3(30)

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