solve the compound inequality-8 < 5x + 7 <2

Solve The Compound Inequality-8 &lt; 5x + 7 &lt;2

Answers

Answer 1

Answer:

-3 < x ≤ -1

Step-by-step explanation:

-8 < 5x + 7 ≤ 2

First, subtract 7 from all sides of the inequality:

-8 - 7 < 5x + 7 - 7 ≤ 2 - 7

-15 < 5x < -5

Divide all sides by 5 to isolate x:

-15 ÷ 5 < 5x ÷ 5 ≤ -5 ÷4

-3 < x ≤ -1

Hope this helps!


Related Questions

Consider the matrices.

Answers

Answer:

Attached

Step-by-step explanation:

Factorize 3x² + 7xy - 6y².

Evaluate the expression in (a) above if x = 4 and y = 3.

Please help. Thanks.​

Answers

Answer:

3(4)^2+7(4)(3)-6(3)^2

= 78

Order these numbers from the least to the greatest. 7.618, 7.681, 7.6801, 7.0681

Answers

Answer:

7.0681, 7.618, 7.6801, 7.681

Step-by-step explanation:

from the least (smallest) to the greatest (largest)

7.0681, 7.618, 7.6801, 7.681

2737÷13 full workingout

Answers

210.53846

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[tex]2737/13=\frac{2737}{13}[/tex]

This is because division is always the same as a fraction

A company ships bottles of olive oil to stores in boxes.
The graph shows a proportional relationship between
the number of boxes shipped and the number of
bottles of olive oil shipped. About how many bottles are
shipped in 8 boxes?

Answers

Answer:

about 110

Step-by-step explanation:

Explain why x2+7x+4=7x has no solutions.

Answers

[tex]x^2+7x+4=7x[/tex]

[tex]x^2+4=0[/tex]

[tex]x^2=-4[/tex]

Square of any real number cannot be negative because - * - = + so this equation has no solutions

I NEED HELP ASAP PLEASE NO LINKS!!!

Answers

Answer:

-31/4

Step-by-step explanation:

[tex]\frac{1}{2} ^{2}[/tex] is actually just (1/2)(1/2) and that equals 1/4

2 - (2/3) you can simplify to (6/3) - (2/3). that equals 4/3

now put it together!

(1/4) - 6(4/3)

(1/4) - (24/3) --------> (which simplifies to 8)

1/4 - 8 ----> (now you have to simplify this to match 1/4 denominator)

(1/4) - (32/4)

-31/4

msg or comment if you have any questions!

Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.

The diameter of the circle is 67 centimeters. What is the approximate area of the circle? (Use 3.14 for .)

Answers

Answer:

the area of the circle is 3,523.86

Step-by-step explanation:

the moons gravity is weaker than that of the earth

if a feather dropped on the moon falls 81.25 cm in 1 second, calculate the acceleration due to gravity on the moon, expressed in m/s/s

Answers

We want to find the moon's gravitational acceleration.

With the given information, we will see that the gravitational acceleration on the moon is: g = 1.625 m/s^2

We know that in a place with a gravitation acceleration g, if you drop something from a height H, the position equation of that object will be given by:

p(t) = (-g/2)*t^2 + H

In this case, we know that a feather falls 81.25cm in one second.

First, we can define H = 0 (because we can put the zero of the position where we want to)

Then if after one second the feather falls 81.25cm = 0.8125 meters, we need to solve:

p(1s) = -0.8125 m = (-g/2)*(1s)^2

Where the negative sign comes because the feather "falls" and we define the negative position as below.

Also notice that we did a change of units from centimeters to meters, by knowing that:

100cm = 1m

then:

81.25cm = 0.8125m

Now we just need to solve:

-0.8125 m = (-g/2)*(1s)^2

0.8125 m = (g/2)*(1s)^2

2*0.8125 m = (g)*1s^2

1.625 m = g*1s^2

(1.625 m)/(1 s^2) = g

We then can conclude that the moon's gravitational acceleration is:

g = 1.625 m/s^2

If you want to learn more,, you can read:

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Which of the following equations represents a line that passes through the points (-10, -9)(−10,−9) and (10,-1)(10,−1)?
I. y+1=-\frac{2}{5}(x-10)y+1=−
5
2

(x−10)
II. 2x-5y=252x−5y=25

Answers

Answer:

y = 2/5x - 5

Step-by-step explanation:

(-10,-9) and (10,-1)

Slope: (-1 - - 9) / ( 10 - - 10)

Slope = 8/20 = 2/5

b = -9 - (2/5(10)

b = -5

The equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Slope: (-1 - - 9) / ( 10 - - 10)

m = Slope = 8/20 = 2/5

Now intercept;

b = -9 - (2/5(10)

b = -5

Now Write the equation as

y = 2/5x - 5

Hence, the equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5

Learn more about equations here;

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The price of an item is $45.00. After a discount, the price is $38.25. What is the percent of the discount?
Answer correctly and I will give brainliest

Answers

Answer:

=15

Step-by-step explanation:

45-x% *45=38.25

(-45) x/100=38.5-45

(-45)x/100=(-6.75)

x=6.75 * 100/45

=15

The percent of the discount is 15.

It is required to find the percent of the discount.

What is percentage?

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

Let the discount percent be x%

When the price of $45 is reduced by x%, we get $38.25.

So,

45 − x % ∗ 45 = 38.25

− 45 x /100 = 38.25 − 45

− 45 x /100 = − 6.75

x = 6.75 ∗ 100 /45

x= 15

Therefore, the percent of the discount is 15.

Learn more about percentage here:

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a teacher is making bags of different colors of modeling clay. the table shows the amount of each color she has avalible. each color will be divided into 3/16 pound bags. how many more bags of purple can she make then yellow?

Answers

Using the subtraction operation, the number of purple bags is 3 more than the number of yellow bags.

Amount of each color available :

Amount of purple color = 64

Amount of Yellow bags = 48

Amount of color in pound required per bag = [tex]\frac{3}{16} [/tex]

Number of Purple bags :

Amount of color required per bag × Amount of purple color

Number of purple bags = [tex]\frac{3}{16} \times 64 = 12[/tex]

Number of Yellow bags :

Amount of color required per bag × Amount of Yellow color

Number of yellow bags = [tex]\frac{3}{16} \times 48 = 9[/tex]

Now we find the difference between the number of Purple and Yellow bags :

Number of purple bags - Number of yellow bags

Difference = 12 - 9 = 3 bags

Therefore, there are 3 more purple bags than Yellow bags.

Learn more :https://brainly.com/question/18109354

Write the side length of the square as a square root. Is the side length a rational number? Explain. a= 121

Answers

Answer:

yes

Step-by-step explanation:

Note that [tex]121=11^2[/tex].

The side length of the square with an area of [tex]121=11^2[/tex] will be [tex]\sqrt{11^2}[/tex].

Recall that [tex]\sqrt{a^2}=a[/tex], so the side length is [tex]\sqrt{11^2}=11[/tex]. [tex]11[/tex] is clearly rational because it's an integer, so the answer is [tex]\boxed{yes}[/tex], it is rational.

solve the inequality. 1/3b - 4 ≤ 4​

Answers

Answer:

b ≤ 24

Step-by-step explanation:

Treat it like a two-step equation:

1/3b - 4 ≤ 4​

Add 4 on both sides: 1/3b - 4 (+4) ≤ 4​ (+4)

1/3b ≤ 8

Multiply 3 on both sides (3)1/3b ≤ 8(3)

b ≤ 24

sa’mya built a rectangular flower garden the gardes is 10 feet long and 8 feet wide what is the area of sa’ma’s flower garden area=length x width

Answers

Answer:

Area of Rectangle = Width × Length

10 × 8 = 80

Step-by-step explanation:

give brainliest

Determine the slope of this graph. Please get right. And ill add extra points.

Answers

Answer:

1/2

Step-by-step explanation:

Slope is the rise over the run.  This means the difference in the y values over the difference in the x values.

The two points on the graph are (2,-2) and ( -6, -6 ).

The difference in the y values is a total of 4 units.

The difference in the x values is a total of 8 units.

The slope would then be 4/8 which simplifies to 1/2.

The line slants upward from left to right so the slope is positive.

Help pls
what is the slope intercept form of (-1,8) and (3,6)

Answers

Answer: y = 1/2x+15/2

Step-by-step explanation:

If you need any more help let me know!! I will try to answer every question you post!

When you have two perpendicular lines that cross at the midpoint, what is the degrees if the angles ?
A( 180
B(90
C(360

Answers

Answer:

B) 90

Step-by-step explanation:

Perpendicular lines always meet at a 90 degree angle.

Answer:

B{90 but it depends which way like it could be A{180 but i'm pretty sure B

Step-by-step explanation:

common since

A cloud drifted above an airplane that was flying at 5,300 meters per minute. In 22.5minutes, the cloud moved 7,920meters to the east at a constant velocity. What was the cloud's velocity?

Answers

Answer is 352 metres

Step-by-step explanation:-

The cloud is moving at a constant velocity. This means that we can find the velocity of the cloud by dividing the distance it moved by time:-

[tex]v = \frac{d}{t} [/tex]

Where "v" is velocity, "d" is distance and "t" is time.

The cloud moved 7920 metres in 22.5 minutes, so :-

[tex]v = \frac{7920 \: m}{22.5 \: min} [/tex]

[tex]v = 352 \: m/min[/tex]

Therefore, the cloud's velocity was 352 m/min.

✍️ By Benjemin ☺️

Find the measure of the angle plz help

Answers

Answer:

you need a protractor to measure it. They have made a picture of that too.

Step-by-step explanation:

you need a protractor to measure it. They have made a picture of that too.

30 points reward just answer plsss​

Answers

D and then C because parentheses then multiply and divide then add and subtract
D and C. D because PEMDAS IS PARENTHESIS EXPONENTS MULITPLICATION DIVISON ADDITION AND SUBTRACTION. Sorry all caps

Is a list of numbers and each number is called a term of the sequence

Answers

Answer:

Terms are positive or negative single mathematical expressions.

Step-by-step explanation:

is 3x² - 4ab + 2 a polynomial?

Answers

Answer:

Yes it is a polynomial.

Step-by-step explanation:

3x² - 4ab + 2 is quadratic polynomial, since it has the highest power / degree of 2.

Note : -

Types of polynomials :

Linear Polynomial ( degree 1 )Quadratic Polynomial ( degree 2 )Cubic Polynomial ( degree 3 )Quartic Polynomial ( degree 4 )

Answer:

[tex]4394[/tex]

Step-by-step explanation:

the bird is

Select the correct answer
Victor solved this inequality as shown:
Step 1: 3x-5>x+5
Step 2: 2x-5>5
Step 3: 2x>10
Step 4: x>5
What property justifies the work between step 3 and step 4?

Answers

Answer:

In step 3: 2x>10 in order to get for x make divided 2 in both sides where you get x>5 in step 4

Answer:

division property of equality

Step-by-step explanation:

First in order to solve we must learn the properties of equality:

Addition property of Inequality:

If a > b , then a + c > b + c

substraction property of inequality

If a > b , then a - c > b - c

Multiplication property of inequality

If a > b , then a * c > b * c (if c > 0)

Division property of inequality

If a > b , then a / c > b / c (if c > 0)

Step 3: 2x>10

Step 4: x>5

When we divide by 2x/2 and 10/2 we get x>5 so we must use the division property of equality

please check the picture!!

find the indefinite integral of:

Answers

Answer:

x = 23

Step-by-step explanation:

Jim is going from Town A to Town B. Town B is located at (-4, 5). He makes a stop at his friend’s house, which is halfway along the trip. What are the coordinates of his stop?

Answers

Answer:

tạo độ của anh ấy dừng là:

Step-by-step explanat ion(:-2,2.5)

Tomas and Tasha were hiking at a speed of 3.5 mph on their way back they were tired and their speed was 2 mph how long was the route if the way back took them 1 hour and 30 minutes longer (in miles)

Answers

Answer: 7 miles

Step-by-step explanation:

To get the length of the route use the expression for speed,

Distance = Speed × Time

Length of the route is 7 miles.

It's given in the question,

Speed of Tomas and Tasha initially = 3.5 mph

Therefore, distance travelled by both with the speed of 2 mph one way will be,

Distance = 3.5t [Here, t = time ]

Speed of both while coming back = 2 mph

And the time taken = t + (1 hour 30 minutes)

= (t + 1.5) hours

Therefore, distance travelled while coming back = Speed × Time

= 2(t + 1.5)

Since, length of the route is same both ways,

3.5t = 2(t + 1.5)

3.5t = 2t + 3

3.5t - 2t = 3

1.5t = 3

t = 2 hours

Now substitute the value of t in the expression to get the distance of the route,

Distance = 3.5t

= 3.5 × 2

= 7 miles

Therefore, route was 7 miles long.

Answer:

7

Step-by-step explanation:

look at answer

Drag each label to the correct location.
Use what you’ve learned about proportional relationships to classify these equations as direct variation, inverse variation, or neither.
PLEASE HELPPP

Answers

Answer:

Step-by-step explanation:

what is 46+56+3+17+30=

Answers

Answer:

The answer to your question is 152

Step-by-step explanation:

46+56+3+17+30= 152

I hope this helps!

Answer:

152

Step-by-step explanation:

46+56= 102. 102+3= 105. 105+17= 122. 122+30= 152

Pizza world is running a special where an extra large pizza (with a diameter of 20 in) costs only 15.99. What is the cost per square in?

Answers

Answer:

pizza yum

Step-by-step explanation:

Answer:

$0.80 per square inch

Step-by-step explanation:

To find the cost per every square inch, divide the total cost of the pizza by the inches of the pizza. The pizza is 20 square inches and costs $15.99. The cost for every inch of pizza would be $0.7995, but you can just round that to $0.80 ($15.99/20 = $0.7995).

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