Extend to find solutions that fit a second constraint in the formx *a, where inequality symbol and a is an integer. For example solve 3x + 4 >10, then find integers that satisfy bothx < 6 and 3x +4 >10.

Answers

Answer 1

Answer:

[tex]x = \{3,4,5\}[/tex]

Step-by-step explanation:

Given

[tex]3x + 4 > 10[/tex]

[tex]x < 6[/tex]

Required

Solve

We have:

[tex]3x + 4 > 10[/tex]

Collect like terms

[tex]3x > 10 - 4[/tex]

[tex]3x > 6[/tex]

Divide by 3

[tex]x > 2[/tex]

So, we have:

[tex]x > 2[/tex] and [tex]x < 6[/tex] i.e. between 2 and 6 (exclusive)

This implies that:

[tex]x = \{3,4,5\}[/tex]


Related Questions

Find the surface area of the ball shown. Use 3.14 for pie.

Radius is 17cm

The ball has a surface area of about ? Cm^2

Answers

Answer:

[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]

Step-by-step explanation:

we are given a ball

remember that,a ball is a Sphere

thus,

[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]

given that, redious is 17 cm

substitute:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]

simplify square:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]

substitute the approximate value of π:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]

simplify multiplication:

[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]

hence, the surface area of the sphere is 3629.84 cm²

3x/2-x=x/6-2/3 plz help

Answers

Answer:

 =  − 2

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Need help asp being timed

Answers

Answer:

a(x) = √x+3

Step-by-step explanation:

i graphed it on desmos

If two triangles are congruent, then all three___and all three___are congruent.

Answers

Answer:

Angles and Sides (or sides and angles, doesn't matter).

Step-by-step explanation:

Congruent triangles all have the same angle measures and side lengths.

Please mark me as brainliest!!!!!!!

will you have enough room for a dance floor that is 8 m x 8 m please explain why or why not


asap ​

Answers

8mx8m will not be enough room the average room for a dance floor is 15 x 15

A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. How high up the pole is the wire attached? Write your answer in simplest form. The wire is attached to the pole feet above the ground. ​

Answers

Answer:

20 ft is where it's attached

Multiply the binomials:
(3x + 4)(5x-2)
A. 15x^2 + 20x-8
B. 15x^2 + 14x + 8
C. 15x^2- 14x-8
D. 15x^2+ 14X-8

Answers

Answer:

15x^2 + 14x - 8

Step-by-step explanation:

Use the FOIL Method.

(3x + 4) (5x - 2)

1. First: 15x^2

2. Outside: -6x

3. Inside: 20x

4. Last: -8

5. Put Together: 15x^2 - 6x + 20x - 8

6. Simplify: 15x^2 + 14x - 8

Plz hurry find the surface area and volume to the nearest whole number

Answers

Answer:

87.96 or 88 - surface area

62.83 or 63 - volume

Step-by-step explanation:

Answer:

Surface area: 89 yd

Volume = 63 yd

Step-by-step explanation:

Surface area:

A=2πrh+2πr^2

=2·π·2·5+2·π·2^2

=87.96459

Volume:

V=πr2h

=π·22·5

=62.83185

7
Which equation can be used to describe the relationship between x and y shown in the graph
below?
3x + 2
D-3x - 6
D
3-6
D3X2

Answers

C: y=3x-6, it’s based on the 3:1 slope and -6 y-intercept
See where the end point starts

i need answer please answer​

Answers

Step-by-step explanation:

x+30°=180°{ straight angle}

x=180-30

x=150°

stay safe healthy and happy.

Answer:

150°

Step-by-step explanation:

BC is 180°

AOC is 30°

180°- 30° = 150°

If a=-2 and b = 3, what is the value of -3a2b?
1.
-36
2.
36
3.
-54
4.
54

Answers

Answer:
36
Explanation:

Answer:it’s -36

Step-by-step explanation:

What is the approximate distance from the origin to the point (−5, 6, −1)? Round to the nearest tenth.
o3.2 units
o3.5 units
o7.7 units
o7.9 units

Answers

Answer:the answer is o.7.7

Step-by-step explanation:

The answer would be o7.7 units

If you spin the spinner once, determine the probability and the likelihood of spinning with colors red, orange, blue or green, red blue orange or green, not red

Answers

Answer:

Step-by-step explanation: There are 12 colours on a spinner,

Probability of red,orange, blue or green = 1/12×4 =4/12

=1/3

Probability of red,blue, orange or green= 1/12×4=1/3

Probability of not red= 1-1/12

=11/12

what is -10+(-3/4)?
PLEASE answer
10 points

Answers

Answer:

the first

-10 3/4

Step-by-step explanation:

;3. i sure

Rose is drawing a portrait for her art class. She is using a sheet of paper what is 6 inches wide and 12 inches long. What is the area of the art paper in square feet?

Answers

Answer:

0.5 ft^2

Step-by-step explanation:

The area in square inches is (6 in )(12 in) = 72 in^2.

Recall that 1 ft^2 = 144 in^2.

Then

  72 in^2         1 ft^2

--------------- * --------------- = 0.5 ft^2

         1           144 in^2

Pleaseeee help me it’s a pre quiz and I’m alone with the teacher

Answers

Answer:

x= 6; y=3 root 3; m=6; n= 6 root 2; a=2; b=2

Step-by-step explanation:

Special Triangles

12 yd. 3 yd. 9 yd. 6 yd. Find the area of the shape. 39 square yards 56 square yards 72 square yards 106 square yards​

Answers

It it was a whole rectangle: 12 x 9 = 108 square yards

Subtract the cut out area: 6 x (9-3) = 6 x 6 = 36 square yards

Total area = 108 - 36 = 72 square yards

In a hatch chemical process, two catalysts arc being compared for their effect on the output of the process reaction. A sample of 12 batches was prepared using catalyst 1 and a sample of 10 batches was obtained using catalyst 2. The 12 batches for which catalyst 1 was used gave an average yield of 85 with a sample standard deviation of 4, and the second sample gave an average of 81 and a sample standard deviation of 5. Find a 90% confidence interval for the difference between the population means, assuming that the populations are approximately normally distributed with equal variances

Answers

Answer:

The 90% confidence interval, C.I = (0.693, 0.7307)

Step-by-step explanation:

Catalysts 1 and catalyst 2 have the following statistical data;

Catalyst 1

The number of batches in the sample, n₁ = 12

The average yield by the 12 batches of catalyst 1, [tex]\overline x_1[/tex] = 85

The sample standard deviation, s₁ = 4

Catalyst 2

The number of batches in the sample, n₂ = 10

The average yield, [tex]\overline x_2[/tex] = 81

The standard deviation, s₂ = 5

F-test = s₂²/s₁² = 5²/4² = 1.5625

The degrees of freedom, df = n₁ + n₂ - 2

∴ df = 12 + 10 - 2 = 20

The critical-t at 90% confidence level = 1.725

The F-test < The critical-t, we pool the variance

The 90% confidence interval with the assumption of equal variance is given as follows;

[tex]The \ 90\% \ confidence \ interval= \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times (s_p) \times \sqrt{\dfrac{1^{2}}{n_{1}}+\dfrac{1^{2}}{n_{2}}}[/tex]

[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

Therefore;

[tex]s_p[/tex] = √((12 - 1)×4² + (10 - 1)×5²)/(12 + 10 - 2)) ≈ 4.48

Therefore, we get;

[tex]C.I. = \left (85- 81 \right )\pm 1.725 \times 4.48 \times \sqrt{\dfrac{1}{12}+\dfrac{1}{10}}[/tex]

The 90% confidence interval, C.I = 0.693 < μ₁ - μ₂ < 7.307 = (0.693, 0.7307).

Kerry wants to give each student in her class
of a small pizza for lunch. There are 30 students in her class.
How many whole pizzas does she need to buy for her class?
O A. 15
OB. 20
OC. 30
O D. 60

Answers

the answer would be C(

Answer:

I believe the answer is (A) 15.

Step-by-step explanation:

If she buys 15 pizzas and gives each student half a pizza, then that would be 30 halves. Meaning she needs to buy 15.


Melly wants to simplify the expression 323/5

Answers

Answer:

64 3/5

Step-by-step explanation:

Your answer would be 643 3/5, hope this helps!!

Which shape contains exactly two pairs of parallel lines?

Trapezoid
Rectangle
Equilateral triangle
Acute triangle

Answers

Answer:

Rectangle is the correct answer hope it helps you have a great day keep smiling be happy stay safe ☺️

Answer:  B) Rectangle

A rectangle is a special type of parallelogram. Any parallelogram has two pairs of opposite parallel sides. A rectangle is a parallelogram where all four angles are the same, and all four angles are 90 degrees.

Keep in mind that not all parallelograms are rectangles, but any rectangle is always a parallelogram.

In slight contrast, a trapezoid has exactly one pair of parallel lines, while the other pair of opposite sides are not parallel. Triangles of any kind can be ruled out because they don't have any parallel sides at all.

A truck driver is hauling furniture for a moving job. He travels an average
of 40 miles per hour. It takes a total of 17 hours to reach his destination.
How many miles is it to his destination?

Answers

Answer:

680 miles

Step-by-step explanation:

Multiply the mph by the total hours to get your answer

40 × 17 = 680

Have a great day! :)

Answer:

680 Miles

Step-by-step explanation: Miles per hour  times Hours

40 times 17

You randomly select 2 marbles from a mug containing 7 blue marbles, 3 red marbles, and 2 white marbles. How many times greater is the probability of selecting one blue marble and then one red marble when you do not replace the first marble before selecting the second marble than when you do replace the first marble before selecting the second marble? Express the answer as a fraction.

Answers

Answer:

Scenario 1: w/o replacement: P(blue, then red) = (7/12)(3/11) = 7/44

Scenario 2: w/ replacement:  P(blue, then red) = (7/12)(3/12) = 7/48

Ratio of Probability #1 to Probability # 2 = 48/44 = 12/11, i.e. Prob # 1 is 1.0909... times Prob # 2

Step-by-step explanation:

Coma and death are possible when _____.


alcohol is ingested slowly

the LD50 is kept low

the BAC nears the LD50 of ethyl alcohol

the BAC is 0.15 percent or more

Answers

0.15 might be it I don’t understand is that well

[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]

Answers

I DONT KNOW LOL PLS STOP CHEATING

Andrea tiene 40 dulces y los reparte entre sus seis amigos Cuántos dulces Le tocará a cada uno​

Answers

Answer:

This is an english server.

Step-by-step explanation:

Respuesta :

siete porque 40/6 darian 6 y como sobran 4 le reparterian 1 a cada 1 por eso darian a a siete

Espero que te sirba

ANSWER ASAP, FIND LENGTH OF MISSING SIDE USING PYTHAGOREOON THEOREM

Answers

Answer:

51?

Step-by-step explanation:

I am sorry if it's wrong

Lana cuts 2 pieces for every 7 inches from a dowel for a craft project, for a total of 10 pieces. What is the towels initial length?

Answers

Its 35 inches be cause they wanted you to cut the pieces in half an multiple it by 5

mops and buckets are sold in a shop. 9 mops cost £72. the ratio of the cost of a mop to the cost of a bucket is 4:7. work out the cost of 6 buckets​

Answers

Answer: 52 pound because if it’s 4:7 7 add 4 = 11 divide that by 72 gets you 52

Debbie has at most $60 to spend on clothes. She wants to buy a pair of jeans for $22 and the rest on t-shirts. Write an inequality that represents the relationship between the amount of money Debbie has and how much she can spend on t-shirts.

Answers

Answer:

22+8x less then or equal to 60

Step-by-step explanation:

Debbie has at most $60 to spend

Then it will be <=60

Now she has to spend 22 dollars on jeans so 22 will be add to the initial amount for sure.

And

Let x be the number of t-shirts

Then the cost of x t-shirts will be 8x

Putting this in to inequality will be:

The inequality to find the maximum number of t-shirts is:

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