Determine the smallest integer value of x in the solution of the following inequality.

-3x+10≤5

Answers

Answer 1

Answer: The smallest integer value of x in the solution is 1.

Step-by-step explanation:

The given inequality: [tex]-3x+10\leq5[/tex]

To solve the inequality, we first subtract 10 from both sides

[tex]-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5[/tex]

Multiply negative sign on both sides ,we get

[tex]3x\geq5[/tex]

Divide both sides by 3, we get

[tex]x\geq\frac{5}{3}[/tex]

i.e. [tex]x\geq 1.6666666667\\[/tex]

[tex]x\geq1[/tex]

Hence, the smallest integer value of x in the solution is 1.


Related Questions

g A radio station’s poll found that 68% of the respondents in a random sample of listeners plan to see a live music show in the next month. A 95% confidence interval for the population proportion was 0.68 ± 0.04. What is the correct interpretation of the 95% confidence interval? We can be 95% confident that 68% of all listeners will see a live music show in the next month. There is a 95% probability that between 64% and 72% of the listeners will see a live music show in the next month. There is a 5% chance that less than 64% or more than 72% of listeners will see a live music show in the next month. We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%. If we repeatedly took samples of the same size from listeners of this radio station, approximately 95% of those samples would have between 64% and 72% of the sample going to see a live music show in the next month.

Answers

Answer:

We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

A 95% confidence interval for the population proportion was 0.68 ± 0.04.

We are 95% sure that the true population proportion is between 0.68 - 0.04 = 0.64 and 0.68 + 0.04 = 0.72.

Thus, the correct answer is:

We can be 95% confident that the true proportion of listeners who will see a live music show in the next month is between 64% and 72%.

what is your when x = 60? ​

Answers

Answer:

300

Step-by-step explanation:

Find the y value when x = 60

Looking at the graph when x=60, y= 300

atlas isttg dont ttake this down its a question and u have no right to

Answers

Answer:

13/16

Step-by-step explanation:

I need to know the answer for this so please help

Answers

Answer:

there is not solution the the equation (graph)

Step-by-step explanation:

when the lines are parallel and do not intersect they is no solution.

-2x^2+6x+1=-3x^2 solve to the nearest tenth

Answers

Step-by-step explanation:

The given equation is :

[tex]-2x^2+6x+1=-3x^2[/tex]

Taking all the terms to one side of the equation i.e.

[tex]-2x^2+6x+1+3x^2=0\\\\x^2+6x+1=0[/tex]

It is a quadratic equation of the form [tex]ax^2+bx+c=0[/tex] whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Here, a = 1, b = 6 and c = 1

Put all the values,

[tex]x=\dfrac{-6\pm \sqrt{6^2-4(1)(1)}}{2(1)}\\\\x=-0.171\ and\ x=-5.82[/tex]

Hence, this is the required solution.

Given this graph of average giveaway, what is the best estimate for the expected giveaway value of this game?
graph
A. $1.70
B. $2.50
C. $3.00
D. $3.80

Answers

Answer:
C
Explanation:
look closely on the x-axis and move the last point all the way to the y-axis it’s in between 2 and 4 so $3.00 move your point from the y-axis and go down it’s either 100 or 0 100 would be $4.00 so i believe it’s C

Answer:

ans c hope it helps u take care have a nice day

The Drama Club is showing a video of their recent play. The first showing begins at 2:30 pm. The second showing is scheduled at 5:25 pm with a 30-minute break between showings. How long is the video in hours and minutes?

Answers

Answer:

the video is 4 hours and 25 minutes

Step-by-step explanation:

first you need to subtract 30 minutes from 5:25 giving you 4:55, then you need to find the difference in minutes from 2:30 to 4:55 by subtracting them or just counting because you cannot subtract units of time like they are real numbers. giving you 4 hours and 25 minutes

(1 point) Solve the initial value problem 8(sin(t)dydt+cos(t)y)=cos(t)sin4(t), for 0

Answers

Hi friend my name is peeny I am here to help you with any question you need! Ily!? It’s 72

please give answer would be cool
+

Answers

Step-by-step explanation:

38 to 18 m square / videos 400

Can someone please help me

Answers

Answer:

no no no no no no no no no non no

Somebody help me plzzz....

Answers

Answer:

1. 1 cm

2. 7 and 2/16 (or 1/8) inches

Step-by-step explanation:

2. The distance from each small line on a ruler is 1/16 of an inch.

There are 5 blue dogs for every 2 green cats. How many green cats are there for 1 blue dog?

Answers

Answer:

2/5

Step-by-step explanation:

The ratio is 5:2 , simplify an you'll get 1:2/5

The equation of a function
y = 2/3x+1/3 find the value of y
when x = -3
when x = 1 1/2​

Answers

Answer:

[tex]y = \frac{-5}{3}\\\\y = \frac {4}{3}[/tex]

Step-by-step explanation:

[tex]y = \frac{2}{3} x + \frac{1}{3}\\\\when \ x = -3 \\\\y = \frac{2}{3}(-3) + \frac{1}{3} = -2 + \frac{1}{3} = \frac{-6 + 1}{3}= \frac{-5}{3} \\\\When \ x = 1 \frac{1}{2} = \frac{3}{2}\\\\y = \frac{2}{3} \times \frac{3}{2} + \frac{1}{3} = 1+ \frac{1}{3} = \frac{3 + 1}{3}= \frac{4}{3} \\\\[/tex]

I need help with this question

Answers

the answer is D. since angle 2= 100 that also means angle 3, 6, and 7 will = 100.
when they are nect to each other they have to add to be 180.

angle 6 (100°) + angle 5 (80°) = 180°

76% of the grade 5 pupils are girls.Express 76% as decimal.

a.0.076
b.0.76
c.7.6
d.76.0​

Answers

Express 76% as decimal is 0,76

76/100 = 0,76

When you change a % to a decimal, you move 2 places to the left. So B. 0.76or you can write it as .76

convert 495.05 to fraction​

Answers

Answer:

9901 / 2000

Step-by-step explanation:

might be wrong

What is the value of log6 49?

Round your answer to two places.

Answers

Answer: 2.17

Step-by-step explanation: To get the answer you count the first two numbers on the Decimal Form, starting behind the period.

(2.17206626)

Simplify (3√5 − 5√2 ) (4√5 + 3√2 )​

Answers

Answer:

=30−11√1

hope it helped!

What are the coordinates of the solution of these two linear equations

Answers

Hi there! The solutions of two linear equations can be broken into 3 types:

Infinitely Many SolutionsOne Solution No Solution

This is from the system of equations where you solve for the y-value and x-value by substitution method or elimination method.

From the question above, the question asks you to find the coordinate of the solution of the equations. But how do we know the coordinate point of the solution if we aren't given any equations? They don't give equatione but they give a graph instead.

Now I would like you to take a look at the graph. You notice that both graphs have one intersect point, right? That point is our solution!

Hence, we can say that an intersection point of two graphs is the solution of both equations.

The graphs intersect each others at (2,1). Thus the answer to this question is (2,1)

Questions can be asked through comment.

Furthermore, an intersection point of two graph is the solution to the equation of the graphs.

Hope this helps, and Happy Learning! :)

what is the value of side EC ?

Answers

Answer:

EC = 28'

Step-by-step explanation:

Since ∆KAR ~ ∆ENC, therefore, their corresponding side lengths will be proportional to each other.

By implication, we have:

EN/KA = EC/KR

EN = 96'

KA = 24'

EC = ?

KR = 7'

Thus:

96/24 = EC/7

Cross multiply

EC*24 = 7*96

EC*24 = 672

Divide both sides by 24

EC = 672/24

EC = 28'

sum of the two angle is equal to 90 degree the ratio of measure of these is 4:5 I what are the measures of these two angle​

Answers

9x =90

x=90/9

=10

4×10= 40

5×10=50

Help me PLEASEEEEEEEEEEEEE

Answers

So basically I think it’s a and d

Answer:

B, C, D.

Step-by-step explanation:

These are all statistical questions since these can be answered by collecting data that vary.

Please help me out I don’t understand this.

Answers

The area (A) of a trapezoid is calculated as follows:

A = 1/2 * sum of the parallel sides * height

In this case:

A = 1/2 * (23 + 5) * 12 = 168 yd^2.

Answer: it’s 168

Step-by-step explanation:

Question 10
Emma played a math game and had the five cards shown.
7
0
-4
2
-10
Her score was the sum of the numbers on these five cards. What was Emma's score?(6.3D)
F 3
G 23
H-5
J Not here

Answers

Answer:

option H: -5

Step-by-step explanation:

[tex]sum \ of \ 7, 0 , -4, 2, -10 = 7 + 0 + (-4) + 2 + (-10)[/tex]

                                  [tex]= (7 +2)+( -4) +( -10)\\=9 - 4 - 10\\=9-14\\=-5[/tex]

(help) what type of triangle is shown below

Answers

pretty sure it’s obtuse !

Solve for (0,2π]
2cos ß * sin ß = cos ß

Answers

Given :

An equation, 2cos ß sin ß = cos ß .

To Find :

The value for above equation in (0, 2π ] .

Solution :

Now, 2cos ß sin ß = cos ß

2 sin ß = 1

sin ß = 1/2

We know, sin ß = sin (π/6)  or sin ß = sin (5π/6) in  ( 0, 2π ] .

Therefore,

[tex]\beta = \dfrac{\pi}{6}\ or\ \beta = \dfrac{5\pi}{6}[/tex]

Hence, this is the required solution.

Which equation is the inverse of y = x2 + 16?
O y = x2 – 16
y=+√x - 16
y=+NX-16
y = x2 - 4

Answers

Hi there!

[tex]\large\boxed{y = \pm \sqrt{x - 16}}[/tex]

To solve for the inverse, swap the x and y variables:

x = y² + 16

Isolate for y by subtracting both sides by 16:

x - 16 = y²

Square root both sides:

√(x - 16) = y

Add the plus/minus sign:

y = ±√(x - 16)

Answer:

c

Step-by-step explanation:

Round 386.565 to the nearest hundredth.

Answers

386.57
Hope this helps^^^^
Answer: 386.57

Explanation: the 5 was 5 or higher so you turn it into a 0 and pump the number your rounding up.

Help me pleas. Math is not my thing it read.

Answers

Answer:

74900

Step-by-step explanation:

just multiply the two numbers.

Answer: 74,900

Step-by-step explanation:

multiply

1.
What is the range of this data set?
07, 43, 9, 35, 38, 13, 24, 41
36
35
24
26

Answers

43-7= 36

Range is highest number minus smallest number

the answer is 36 (A.) because to find range is gonna be the largest number minus the smallest number. so it would be 43 - 7 and you get 6
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