(repost) Please help! It involves inequalities! Also please include a number line.

(repost) Please Help! It Involves Inequalities! Also Please Include A Number Line.

Answers

Answer 1

Answer:

  -5 ≤ x

Step-by-step explanation:

2(x -3) -5x ≤ 9 . . . . . given

2x -6 -5x ≤ 9 . . . . . . eliminate parentheses

-3x -6 ≤ 9 . . . . . . . . combine like terms

-6 ≤ 9 +3x . . . . . . . add 3x

-15 ≤ 3x . . . . . . . . subtract 9

-5 ≤ x . . . . . . . . . divide by 3

__

The point x=-5 is included in the solution set, so there is a sold dot at that point. The rest of the solution set is values of x that are greater than that value, so the number line is shaded to the right of that point. Your number line should show an arrow at the right end of the graph to indicate it extends that direction indefinitely. (My graphing program doesn't draw arrows easily.)

_____

Additional comment

Perhaps the most straightforward way to solve this would have been to add 6 instead of 3x. That would give ...

  -3x ≤ 15

Then dividing by -3 would give x. That operation would reverse the inequality symbol (because the divisor is negative). Then you would have ...

  x ≥ -5

Either way works. We judge it to be less confusing when we don't have to change the direction of the inequality symbol.

(repost) Please Help! It Involves Inequalities! Also Please Include A Number Line.

Related Questions

What is the approximate value of V7 to the nearest tenth

Answers

Answer:

17 i think i dont know if its the right answear

Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information. A Table titled Trail Mix showing Pounds, Cost, and Total. The first row shows Raisins, with r, 150, and 1.5 r. The second row shows Peanuts, with 5 minus r, 2.50, and 2.5 left-parenthesis 5 minus r right parenthesis. The last row shows Mixture, with 5, blank, and 10.50. Which equation can Jeremy use to determine the amount of raisins in the trail mix? r + 1.50 = 1.5r r + (5 – r) = 5 1.5r + 2.5(5 – r) = 10.50 1.5r + 2.5(5 – r) = 5

Answers

Answer:

The answer us Option C

Step-by-step explanation:

Hope this helps!!

Answer:

C

Step-by-step explanation:

The number which is a perfect square is- a) 360 b)528 c) 729 d) 677​

Answers

Answer:

729

Step-by-step explanation:

because the square of 27 gives 729

I can check this through long division

please answer this question!!​

Answers

Answer:

3

Step-by-step explanation:

A = C

6x + 11 = 3x +20

3x = 9

x = 3

Find the value of x in the triangle shown below.

Answers

Answer:

x ≈ 55.5°

Step-by-step explanation:

Using the Sine rule in the triangle

[tex]\frac{5}{sinx}[/tex] = [tex]\frac{5.7}{sin70}[/tex] ( cross- multiply )

5.7 sinx = 5 sin70° ( divide both sides by 5.7 )

sin x = [tex]\frac{5sin70}{5.7}[/tex] , then

x = [tex]sin^{-1}[/tex] ([tex]\frac{5sin70}{5.7}[/tex] ) ≈ 55.5° ( to the nearest tenth )

Answer:

[tex]x =55[/tex]°

Step-by-step explanation:

An isosceles triangle is a triangle with two congruent sides. One can see that the given triangle is an isosceles triangle, as two sides have a side length of (5) units. One property of an isosceles triangle is the base angles theorem. This theorem states that the angles opposite the congruent sides of an isosceles triangle are congruent. In this situation, this means that two angles have a measure of (x) degrees. As a given, the sum of angles in any triangle is (180) degrees. Thus, one can form an equation, and solve for the unknown, (x):

[tex]x + x + 70 = 180[/tex]

Simplify,

[tex]2x + 70 =180[/tex]

Inverse operations,

[tex]2x + 70 =180[/tex]

[tex]2x = 110[/tex]

[tex]x =55[/tex]

A pole that is 2.7 m tall casts a shadow that is 1.56 m long. At the same time , a nearby building casts a shadow that is 38.25 m long. How tall is the building ? Round your answer to the nearest meter.

Answers

Set up a ratio of height/ shadow

2.7/1.56 = x/38.25

Cross multiply:

1.56x = 103.275

Divide both sides by 1.56

X = 66.2

Round to nearest meter = 66

Answer: 66 meters

Given AB= CD, and mAB = 134 find mCD​

Answers

Answer:

arc CD = 134°

Step-by-step explanation:

Given 2 equal chords in a circle then the minor arcs are equal, that is

arc CD = arc AB = 134°

The value of mCD is 134°.

What is an arc?

The arc is a portion of the circumference of a circle.

Given data as :

chord AB = chord CD, and

mAB = 134°

The minor arcs are equal if there are two similar chords in a circle.

So, arc CD = arc AB

Substitute the value of mAB = 134° in the above equation,

⇒ mCD = 134°

Hence, the value of mCD is 134°.

Learn more about arc of circle here:

brainly.com/question/1577784

#SPJ2

Kasonga's TV plan costs $59.99 per month plus $5.49 per first-run movie. How many first-run movies can he watch if he wants to keep his monthly bill to be a maximum of $100?

Answers

Answer:

7

Step-by-step explanation:

We can solve this problem by making an equation for the monthly bill. First, the cost is $59.99 per month, and that cannot be decreased, so we must add all costs to that amount. Next, it costs $5.49 per first run movie, so for each first run movie, we add $5.49 to the total. Therefore, we can write our equation as

59.99 + 5.49 per first run movie = monthly bill

Representing the number of first run movies as r, we can say

59.99 + 5.49 * r = monthly bill

Next, the monthly bill should be less than or equal to 100, so we can say

monthly bill ≤ 100

59.99 + 5.49 * r = monthly bill ≤ 100

Moreover, we want to maximize r, or the amount of first run movies. Because we add money to the monthly bill for each movie, to maximize r, we have to find the maximum money we can spend on the monthly bill that is still less than or equal to 100. To do this, we set the monthly bill to its maximum limit, or 100, so we have

59.99 + 5.49 * r = 100

subtract 59.99 from both sides to isolate the f and its coefficient

40.01 = 5.49 * r

divide both sides by 5.49 to isolate the variable

r ≈ 7.29

Since we can't buy .29 of a movie, and rounding up to 8 movies would cause us to go past 100 dollars, the maximum movies he can watch if he wants to keep his monthly bill ≤ 100  is 7


Which number is a solution of the inequality?
3x - 15 ≥ 3

a.) -9/11

b.)6/11

c.)6

d.)5

Answers

Answer:

6

Step-by-step explanation:

[tex]3x - 15 \geqslant 3[/tex]

[tex]3x \geqslant 3 + 15[/tex]

[tex]x \geqslant \frac{18}{3} [/tex]

[tex]x \geqslant 6[/tex]

Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

? ≈ 37°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex] , then

? = [tex]cos^{-1}[/tex] ([tex]\frac{4}{5}[/tex] ) ≈ 37° ( to the nearest degree )

a(b^2+c^2+bc) + b(c^2+a^2+ca) + c(a^2+b^2+ab)

Answers

Answer:

(a-b)(b-c)(a-c)

Step-by-step explanation:

a^2(b - c) + b^2(c-a) + c^2(a - b)

= a^2b - a^2c + b^2c - b^2a + c^2a-c^2b

=a^2b - b^2a - a^2c + b^2c + c^2a -c^2b

= ab(a - b) - c(a^2 - b^2) +c^2(a - b)

=ab(a - b) -c(a - b)(a + b) +c^2(a - b)

=(a - b)(ab - c(a + b) +c^2)

=(a - b)(ab - cb -ca + c^2)

= (a - b)(b(a-c) -c(a-c))

=(a-b)(b-c)(a-c)

Find the value of x. Round to
the nearest tenth.
27
15
X
11
x = [?1°

Answers

Answer:

38.2°

Step-by-step explanation:

[tex]sin {}^{ - 1} ( \frac{15 \times sin(27)}{11} )[/tex]

[tex]= 38.2[/tex]

Answered by GAUTHMATH

True False for each

Function A has a greater slope.

Function B has a greater y-intercept.

The slopes for both functions are the same.

The equation for function A is y=2x+3 ​

Answers

Answer:

can you please add a picture

Step-by-step explanation:

I can't work it out without no picture

Which ordered pair is the best estimate for the solution of this system of linear equations?
A.(-6, -2)
B.(-3, 2)
C. (4,-4)
D. (6,8)​

Answers

Answer:

B. (-3, 2)

Step-by-step explanation:



Please find the missing number for the surface area. I will mark brainiest if correct. 2.

Answers

It is 18 because it is a square so all the sides have to be the same so that would make it 18

A motorboat travels 81 miles in 3 hours going upstream. It travels 135 miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?

Answers

Answer:

27, 18

Step-by-step explanation:

Here's why


Round 0.090999 to four decimal places.

Answers

0.0910, I think.

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My dyslexia did not like theese numbers

X =

A)6 2/3
B)9
C)12

Answers

I think the answer would be (C) 12 because when you lay the line measuring 5 - 4 flat you can see that it is not covering line x completely. When 3 to the new line of 9 you can see that it fits. Hope this helps!

Find the area of the bolded outlined sector.

Answers

Outlined sector:

2 πr x 225/360 +2r

=2x3.14x10 x 225/360 +20

=59.25 cm

Hope this helped!

Solve for t. 4=12gt^2

t=8g√

t=(8g)2

t=g8√

t=8g√

PLEASE PLEASE HELP ILL GIVE BRAINLIEST IF CORRECT

Answers

Answer:

[tex]t = \sqrt{ \frac{8}{g} } [/tex]

Step-by-step explanation:

We are solving for t.

[tex]4 = \frac{1}{2} g {t}^{2} [/tex]

Multiply both sides by 2.

[tex]8 = gt {}^{2} [/tex]

Divide both sides by

[tex] \frac{8}{g} = {t}^{2} [/tex]

Take square root of both sides.

[tex]t = \sqrt{ \frac{8}{g} } [/tex]

Kristina wants to buy a flute that costs 240 . She has saved 20 each week for 3 weeks . How many more weeks does Kristina need to save money if she continues to save 20 each week

Answers

Answer:

9 more weeks

Explanation:

She already saved 20(3)=60

240=60+20(x)
X=9
She needs 9 more weeks

What is the volume of the pyramid below?

Answers

Answer:

we can find volume of a pyramid when we use this formule: area of triangle*high/3

Step-by-step explanation:

let's we put the data (8*6/2)*7/3= (48/2)*7/3=56

pls help. what is a reasonable range for this function? explain your answer. thank you:))

Answers

from 0 to 20

neither the seconds nor the height are likely to be negative.

Instructions: Find the missing side. Round your answer to the nearest tenth.
8
16

Answers

Answer:

the answer is 40

Step-by-step explanation:

the right side dose not exist so you only have to add the the 2 sides and then it becumes solved

Answer:

Step-by-step explanation:

45 ĐỘ

DOES A TRANSLATION PRESERVE ITS LENGTH, SHAPE, SIZE, AND ORIENTATION? EXPLAIN.

Answers

Step-by-step explanation:

Yes. A translations preserve it's. length, shape,size and orientation. WHY?

, A translation is a rigid transformation so it preserve it physical features of the shape( both pre image and current image).A translation can be used to show if two figures are congruent so it preserve it shape.

Find: (6m5 + 3 – m3 – 4m) – (–m5 + 2m3 – 4m + 6)

Answers

Answer: 7m⁵ -3m³ - 3

Working:

= (6m⁵ + 3 - m³ - 4m) -(-m⁵ + 2m³- 4m +6)

= 6m⁵ + 3 - m³ - 4m +m⁵-2m³+4m - 6

= 6m⁵ + m⁵-m³ -2m³ -4m + 4m - 6 +3

= 7m⁵ -3m³ - 3

Answered by Gauthmath must click thanks and mark brainliest

1. David and Darlene Jasper have one child, Sam, who is 6 years old (birthdate July 1, 2013). The Jaspers reside at 4639 Honeysuckle Lane, Los Angeles, CA 90248. David's Social Security number is 577-11-3311, Darlene's is 477-98-4731, and Sam's is 589- 22-1142. David's birthdate is May 29, 1986 and Darlene's birthday is January 31, 1988. David and Darlene's earnings and withholdings for 2019 are: David: Earnings from Apple Company (office man

Answers

Answer:

hi

Step-by-step explanation:

please do this ASAP!
No links !

Answers

Answer:

2100

Step-by-step explanation:

28.34 rounds to 30

We look at the 8 which is greater than 5 and rounds the 2 to 3

69.72 rounds to 70

We look at the 9 which is greater than 5 and rounds the 6 to 7

30*70

2100

q · 7/9 = 4
What is q?

Answers

Answer:

q = 36/7  or 5 1/7

Step-by-step explanation:

q · 7/9 = 4

Multiply each side by 9/7

q · 7/9 *9/7 = 4*9/7

q = 36/7

If we want it as a mixed number instead of an improper fraction

7 goes into 36 5 times with 1 left over

q = 5 1/7

30 Points cuz I need help ASAP

Answers

Answer:

the answer is option 1

Step-by-step explanation:

the negative angle => a quarter round angle (clockwise) = ¼ x ( -360°) = -90°

and

the positive angle => a full round angle + 270° = (360°)+270°

= 630°

Answer:

correct answer is -90 and 630

Step-by-step explanation:

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