what is 2x – 3 < 7 and 5 – x ≤ 8?

Answers

Answer 1

Answer:

Result for Inequality expression 1:

\(x < 5\)

Result for Inequality expression 2:

\(x \geq -3\)

Step-by-step explanation:

-Inequality expression 1:

\(2x - 3 < 7\)

-Inequality expression 2:

\(5 - x \leq 8\)

-Solve inequality expression 1:

\(2x - 3 < 7\)

\(2x - 3 + 3 < 7 + 3\)

\(2x < 10\)

\(\frac{2x}{2} < \frac{10}{2}\)

\(\boxed {x < 5}\)

-Solve inequality expression 2:

\(5 - x \leq 8\)

\(5 - 5 - x \leq 8 - 5\)

\(- x \leq 3\)

\(\frac{-x}{-1} \leq \frac{3}{-1}\)

\(\boxed {x \geq -3}\) (inequality sin changed by divide by a negative integer or variable)

Answer 2

The following inequality represents the solution set -

-3 ≤ x < 5.

We have the following compound inequality -

2x – 3 < 7

5 – x ≤ 8

We have to solve for x.

Define Compound Inequality. What are its types ?

A compound inequality (or combined inequality ) is two or more inequalities joined together with OR or AND. There are two types of compound inequalities in the form of conjunction problems and disjunction problems.

According to the question, we have -

1st Inequality -

2x – 3 < 7

Add 3 on both sides -

2x - 3 + 3 < 7 + 3

2x < 10

Divide both sides by 2, we get -

x < 5

2nd Inequality

5 – x ≤ 8

Subtract 5 on both sides -

5 - x - 5 ≤ 8 - 5

- x ≤ 3

Multiply both sides by '-1' -

x ≥ -3

Combining both solutions, we can write it as -

-3 ≤ x < 5

Hence, the following inequality represents the solution set -

-3 ≤ x < 5

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Related Questions

Helppp plzzzzz pointttttts

Helppp plzzzzz pointttttts

Answers

Answer:

AD & BE

Step-by-step explanation:

1) AB+BD = AD

2)BC+CE = BE

1/8 in radius and 200 feet on height what is the volume​

Answers

The volume formula is V=πr2h...so plug in your Given numbers.
V=3.14(1/8)(2)(200)
V=157

ANSWER SOON PLSSSSI'm so sorry for asking lots of questions! Tyler wants to go to the County Fair on Wednesday with his friends. On Wednesday, you can buy a wristband that allows an unlimited number of rides all night.

If the cost is $7.50 for 1 wrist band, how many would 3 wrist bands cost?

Answers

Answer:

22.50 per 3 wristbands is the cost

Select the fraction that is equivalent to one fifth. (2 points)


a

1/10


b

2/1


c

2/5


d

3/5

Answers

Answer:

none

Step-by-step explanation:

\(one \: fifth = \frac{1}{5} \\ from \: the \: options \: no \: fraction \: is \: equivalent \: to \: one \: fifth \: and \: non \: of \: the \: fracrions \: can \: be \: reduced \: to \: give \: one \: fifth \\ so \: the \: answer \: is \: none\)

6. How many ways are there to distribute three different teddy bears and nine identical lollipops to four children: a) Without restriction

Answers

There to distribute three different teddy bears and nine identical lollipops to four children is a) 14080,

Since we have given that Number of teddy bears = 3

Number of identical lollipops = 9

Therefore, the Total number of things

= 3+9

=12

Number of children = 4

(a) Without restriction?

A number of ways would be 4³ x 12c3

= 14080

Therefore, a) 14080,

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how do you tell the difference between an ORIGINAL figure and an image of a figure?? ​

Answers

Answer:

 the image has a prime sign

Step-by-step explanation:

H(t) = -14t? +45t + 35, What is the maximum height of the object in feet?​

Answers

If you have a Casio fx115es plus hit mode>5>3 then type in the numbers

X value max 71.16

Help!!!!!!!!!!!!!!!!!!!!!!!!! and I'm giving brainly thxxxxx

Help!!!!!!!!!!!!!!!!!!!!!!!!! and I'm giving brainly thxxxxx

Answers

Answer:

the 3 is in the hundred thousands

Step-by-step explanation:

Kaylee drove 160 miles in 5 hours. If she continued at the same rate, how far would
she travel in 17 hours

Answers

Answer:

544 miles

Step-by-step explanation:

160 miles= 5 hours in order to see how much she traveled in 1 hour you need to divide so do 160 divided by 5 = 32 then do 32x17 which would be 544.

I hope it helps you!

~XxBells is a cute girlxX~

Kaylee would travel 544 miles in 17 hours if she continued at the same rate.

What is the distance?

A mathematical number is known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

distance = rate × time

We know that Kaylee drove 160 miles in 5 hours, so her rate is:

rate = distance / time = 160 miles / 5 hours = 32 miles/hour

Now we can use this rate to find out how far she would travel in 17 hours:

distance = rate × time

distance = 32 miles/hour × 17 hours

distance = 544 miles

Therefore, Kaylee would travel 544 miles in 17 hours if she continued at the same rate.

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HELPPPPPPPPPPPPPPPPPPPPPP

HELPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

11

Step-by-step explanation:

1. You could solve this as a way of just knowing that 6+11=17.

2. You could also solve this algebraically by subtracting 6 on both sides and getting y=11 because 17-6=11.

Answer:

y=11

Step-by-step explanation:

6+y=17

y=17-6

y=11

How do u draw the graph n wats the answer

How do u draw the graph n wats the answer

Answers

y=2x-2 is the equation of the graph.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

From the given figure the points are (2, 2)(3,4)(4, 6)

m=6-4/4-3

m=2/1

slope =2

Now let us find the y intercept

4=2(3)+b

4=6+b

b=-2

y=2x-2

Hence, y=2x-2 is the equation of the graph.

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Write the equation for the area of a triangle.

Answers

Answer:

area = 1/2 x base x height

Step-by-step explanation:

i got you bro

what is the slope that passed through the points (-3, -9) and (22, -4)? Write your answer in a simplest form

Answers

Answer:

साहस को सलाम पाठ/अरुणिमा सिन्हा कहां बैठी थी

Step-by-step explanation:

I hope you understand

two similar solids have a scale factor of 3 4 if the volume of the smaller solid is 54 what is volume of the larger solid

Answers

From the given information, upon calculation, the volume of the larger solid is 192.

When two similar solids have a scale factor of 3:4, it means that the corresponding lengths of the two solids are in a ratio of 3:4. Since volume is a three-dimensional measurement, it depends on the cube of the length. Therefore, the volume of the larger solid will be the cube of the scale factor multiplied by the volume of the smaller solid.

Given that the volume of the smaller solid is 54, we can calculate the volume of the larger solid as follows:

Volume of the smaller solid = 54

Scale factor = 3:4

Volume of the larger solid = (scale factor^3) * Volume of the smaller solid

= (4/3)^3 * 54

= (64/27) * 54

= 192

Therefore, the volume of the larger solid is 192.

When two similar solids have a scale factor of 3:4, the volume of the larger solid can be found by cubing the scale factor and multiplying it by the volume of the smaller solid. In this case, if the volume of the smaller solid is 54, the volume of the larger solid is 192.

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Please help explain how to solve this. Find the value of each variable.

Please help explain how to solve this. Find the value of each variable.

Answers

Can you help me correct my text pleeeasssse

Answer:

base angle of isosceles triangle are equal..

25+25+x=180°50°+x=180°x=180-50x=130°

hope it helps

stay safe healthy and happy.

how many times greater is the value of 5 in 2,573 than the value of 5 in 6,459

Answers

The answer is 10.

How the value of a digit in a number is determined?

The value of a digit in a number is determined by its place value. In the number 2,573, the value of the digit 5 is 5 x 100 = 500. In the number 6,459, the value of the digit 5 is 5 x 1,000 = 5,000.

Therefore, the value of 5 in 6,459 is 5,000/500 = 10 times greater than the value of 5 in 2,573.

So, the answer is 10.

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Define the domain of the following:

{-2, -1, 0, 2, 5}

{-2, -1, 0, 1, 2, 3, 4, 5}

All Real Numbers

{3, -1, 3, 1, 2}

Define the domain of the following:{-2, -1, 0, 2, 5}{-2, -1, 0, 1, 2, 3, 4, 5}All Real Numbers{3, -1,

Answers

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

How to define the domain for the graph?

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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What is the solution to the system of equations y equals 1.5 x 4?

Answers

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

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Point B is on line segment AC. Given BC=9 and AB=11, determine the length AC.

Answers

Answer:

\(AC=20\)

Step-by-step explanation:

The line segment AC is the entire length of the line. Within this segment, point  B is found.

Point B, in a way, splits the segment into two, creating the segments AB and BC.

To find the length of AC, add the lengths of the lines AB and BC together:

\(AB=11\\BC=9\\AB+BC=AC\\11+9=AC\\20=AC\)

The length of AC is 20.

:Done

Answer:

20 units.

Step-by-step explanation:

Segment AC is broken into two parts by point B. That means that the length of segment AB plus the length of segment BC equals the length of segment AC.

If BC = 9, and AB = 11, AC = 9 + 11 = 20 units.

Hope this helps!

Identify the period and describe two asymptotes for each function.

y=tanπθ

Answers

The horizontal asymptote occurs at y = 0. The absolute value of θ becomes large, the value of the tangent function approaches zero.

The function y = tan(πθ) belongs to the period π, which means that it repeats every π units along the x-axis.

For this function, there are two asymptotes: a vertical asymptote and a horizontal asymptote.

The vertical asymptotes occur at θ = -π/2, π/2, 3π/2, etc.

These values make the denominator of the tangent function equal to zero, resulting in an undefined value.

The horizontal asymptote occurs at y = 0.

As the absolute value of θ becomes large, the value of the tangent function approaches zero.

This means that the graph of y = tan(πθ) gets closer and closer to the x-axis but never touches it.

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Regression analysis is useful when you wish to predict the value of a quantitative variable based on a another quantitative variable.
Select one:
True False

Answers

Regression analysis is a statistical technique used to predict the value of a quantitative variable based on another quantitative variable i.e., the given statement is true.

Regression analysis is widely used when there is an interest in understanding how one quantitative variable, known as the dependent variable or response variable, is influenced by another quantitative variable, known as the independent variable or predictor variable.

The goal is to establish a mathematical relationship between the variables that can be used for prediction and inference.

In regression analysis, a model is built based on the observed data to estimate the relationship between the variables. The model takes into account the variability in the data and provides insights into the strength and direction of the relationship.

By analyzing the model's coefficients, such as the slope and intercept, predictions can be made about the dependent variable's values for different levels of the independent variable.

Regression analysis allows for the assessment of the significance of the relationship, the quantification of the effect of the predictor variable on the response variable, and the estimation of the prediction accuracy.

It provides a valuable tool for making informed decisions, conducting research, and understanding the underlying factors that contribute to the variability of the dependent variable.

Therefore, it is true that regression analysis is useful when predicting the value of a quantitative variable based on another quantitative variable.

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A random variable X has moment generating function (MGF) given by 0.9. e2t if t < - In (0.1) Mx (t): 1 -0.1. e2t [infinity] otherwise Compute P(X = 2); round your answer to 4 decimal places. Answer: =

Answers

Answer:

To find the probability P(X = 2), we need to use the moment generating function (MGF) and the formula for the nth moment of a random variable:

Mx(t) = E[e^(tx)] = Σ [x^n P(X = x) e^(tx)]

Taking the second derivative of the MGF with respect to t, we get:

Mx''(t) = E[X^2 e^(tx)]

Setting t = 0.5 in the MGF, we get:

Mx(0.5) = 1 - 0.1e

where e is the mathematical constant e = 2.71828...

Taking the second derivative of the MGF with respect to t, we get:

Mx''(t) = 3.6e^(2t) for t < -ln(0.1)

Mx''(t) = ∞ for t ≥ -ln(0.1)

Therefore, we can write:

E[X^2] = Mx''(0) = 3.6e^0 = 3.6

Using the formula for the variance of a random variable:

Var(X) = E[X^2] - E[X]^2

We need to find E[X] first.

Taking the first derivative of the MGF with respect to t, we get:

Mx'(t) = E[X e^(tx)]

Setting t = 0.5 in the MGF, we get:

Mx'(0.5) = 1.8e

Therefore, we can write:

E[X] = Mx'(0) = 1.8

Now we can find the variance:

Var(X) = E[X^2] - E[X]^2 = 3.6 - 1.8^2 = 0.72

Finally, we can find the probability P(X = 2) using the formula for the probability mass function (PMF) of a discrete random variable:

P(X = 2) = e^(-λ) λ^k / k!

where λ is the expected value of the random variable, which is also the parameter of the Poisson distribution.

In this case, λ = E[X] = 1.8, and k = 2.

Therefore, we can write:

P(X = 2) = e^(-1.8) (1.8)^2 / 2! ≈ 0.1638

Rounding to 4 decimal places, we get:

P(X = 2) ≈ 0.1638

hope it helps!!

A’_____
B’_____
C’_____

 A_____ B_____ C_____

Answers

Answer:

A'(-3, 5), B'(1, 7), C'(2, 3)

Step-by-step explanation:

The rule \((x,\,y) \to (x-1,\,y+2)\) means to subtract 1 from all the x-coordinates and add 2 to all the y-coordinates.  (It also means move each point 1 unit to the left and 2 units up.)

HELP ME PLEASE WILL MARK BRAINLIEST

HELP ME PLEASE WILL MARK BRAINLIEST

Answers

Answer:

y = 7, x = 7

Step-by-step explanation:

11y + 13 = 90

11y = (90 - 13)

11y = 77

y = 7

2x + 6 = 20 (because 20 is half of 40)

2x = (20 - 6)

2x = 14

x=7

A doctor took a random sample of n = 6 patients to see how long they each spent in the waiting room.


She wants to construct a t interval for the mean waiting time with 99% confidence. The times in the


sample were roughly symmetric with a mean of z = 8. 5 minutes and a standard deviation of sx = 2. 8


minutes.

Answers

The correct answer is- we can be 99% confident that the true mean waiting time is between 4.16 and 12.84 minutes.

A doctor took a random sample of n = 6 patients to see how long they each spent in the waiting room. She wants to construct a t interval for the mean waiting time with 99% confidence. The times in the sample were roughly symmetric with a mean of z = 8.5 minutes and a standard deviation of sx = 2.8 minutes. We have to find the 99% confidence interval of the waiting time.

The formula for the confidence interval is shown below:\(\[\large \bar x-t_{\alpha/2}\frac{s}{\sqrt{n}} < \mu < \bar x+t_{\alpha/2}\frac{s}{\sqrt{n}}\]\)

Where: \(\[\large \bar x\]\) is the sample mean \(\[s\]\) is the sample standard deviation \(\[n\]\) is the sample size\(\[\large t_{\alpha/2}\]\) is the t-score from the t-distribution with (n - 1) degrees of freedom, where α is the level of significance

The sample mean is\(\[\large\bar x=8.5\]\) and the sample standard deviation is \(\[\large s=2.8\].\)

Since the sample size is small, we must use a t-distribution with n - 1 degrees of freedom. With 99% confidence, α = 0.01/2 = 0.005.

Using a t-table for 5 degrees of freedom and α = 0.005, we get\(\[\large t_{\alpha/2}\] = 4.032.\)

On substituting the values, we get the interval as shown below: \(\[\large 8.5-4.032\frac{2.8}{\sqrt{6}} < \mu < 8.5+4.032\frac{2.8}{\sqrt{6}}\]\)

The confidence interval is (4.16, 12.84).

Therefore, we can be 99% confident that the true mean waiting time is between 4.16 and 12.84 minutes

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calculate 1110 ÷ 101 in binary number and give answer to 5 place after binary point​

Answers

15

73838838#8#87887777777777777777777777

There were 3 adults and 9 children on the bus. What was the ratio of children to adults? Enter your answer in reduced form. i know the awnser to this but how do you write it out?! like this? "9:3" or like this "9/3" ?!?!?!? please help!!

Answers

You would put it like 9:3

An elevator descended 5 feet per second. After 6 seconds, how many feet did the elevator decend ​

Answers

If the descend starts from 12 m above the ground level, how long will it take to reach −468 m? A. 60 mins.

PLEASE HELP WAITING 3 HOURS NOW
NO NONSENSE WILL REPORT

PLEASE HELP WAITING 3 HOURS NOWNO NONSENSE WILL REPORT

Answers

The third option is the answer.

Explanation:
Use law of sines since we are given two angles and two sides, you can do this...
b=a•sin(B)/sin(A) = 4.01444
c=a•sin(C)/sin(A) = 14.57419
Final Answer: x is about 4.0, y is about 14.6

solve the equation 3(x+4)=60

Answers

Answer:

x = 16

Step-by-step explanation:

3(x + 4) = 60

3x + 12 = 60 (I got this using the distributive property)

     -12      -12

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

3x = 48

÷3     ÷3

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

x = 16

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