Solving inequalities.

1. 2x + 3 < 9

2. 4x - 5 > 43

Answers

Answer 1

Answer:

1.   x< 3

2.   x>12

have a great day :)

Step-by-step explanation:


Related Questions

what is the image of (8,7) after a reflection over the line y=-x?

Answers

Answer:

(-7,-8)

Step-by-step explanation:

The original point is (8,7)

To reflect it, just switch their places and change their signs.

So, (-7,-8)

A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit?

Answers

Answer:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Step-by-step explanation:

The equation of the ellipse with centre at origin and major axis along the x-axis is:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:

a² = c² + b²

Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).

Hence c = 4100

Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.

a = 2c = 2(4100) = 8200 miles

We can get the distance from the center to the minor axis vertices (b), using:

a² = c² + b²

8200² = 4100² + b²

b² = 8200² - 4100²

b² = 50430000

b=√50430000

b = 7101.4 miles

The ellipse equation is:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Answer:

[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]

Step-by-step explanation:

In the diagram below, what is the approximate length of the minor arc ?
A. 36 cm
O
B. 72 cm
23 cm
120*
ОО
C. 48 cm
D. 24 cm

Answers

Answer:

The approximate length of the minor arc would be 48 cm.

Answer:

C

Step-by-step explanation:

Pls help will give branliest

Answers

Answer:

7x² - 26x + 9

Step-by-step explanation:

(g(x)²) = (3x - 2) (3x - 2)

(g(x)²) = 9x² - 6x - 6x + 4

(g(x)²) = 9x² - 12x + 4

(9x² - 12x + 4) - (2x² + 14x - 5) = 7x² - 26x + 9

An equation is shown below:

5(2x - 8) + 15 = -15

Write the steps you will use to solve the equation and explain each step. i need the steps plzzzz

Answers

Step-by-step explanation:

10x-40+15=-15

10x=-15-15+40

10x=10

x=1

Answer is 1

Which of the following word problems can be solved using the equation 10 x - 15=60

Answers

Answer:

Kit buys

Step-by-step explanation:

im right

3x + 8= 3x+
What value could you write in after 3x that would make the equation
true for:
1. no values of x ?
2. all values of x ?
3. just one value of x?

Answers

Answer:

Step-by-step explanation:

Answer:

(see my explanation)

Step-by-step explanation:

Basically,

For no value it can be anyhting but 8.

For all values it HAS to be 8.

For just one anything that has "x" in it.

Example:

1. -9

2. +8

3. 7+x or 2x

NOTE: this varies depending on the varible after the x value. (It's not always 8)

☝Example:

5x+2 = 5x + _____

1. 3

2. +2

3. x

A cone has a volume 7065in and a height of 30 in what is the radius of the cone?use 3.14 for pi

Answers

Answer:

15 inches.

Step-by-step explanation:

V = 1/3 pi r^2 h

7065 = 1/3 * 3.14 * 30 * r^2

r^2  = 7065 / (1/3 * 3.14 * 30)

r^2 = 7065 / 31.4 = 225

r = sqrt 225 = 15.

mmmmmm u should help -9/14+ 2/7

Answers

Answer:

0.9285714285714 is the answer.....

Simultaneous equations
2x+4y=1
3x+5y=7

Answers

Answer:

x = 11.5, y = -5.5.

As an ordered pair this is (11.5, -5.5).

Step-by-step explanation:

2x+4y=1               Multiply this by 3:

3x+5y=7               Multiply this by -2.

6x + 12y = 3

-6x - 10y = -14       Adding these 2 equations:

0 + 2y = -11.

y = -11/2

y = -5.5.

Now plug this into the first equation:

2x + 4(-5.5) = 1

2x = 1 + 22

x = 23/2

x = 11.5.

The differnce between a number divide by 3 and 4 is 20

Answers

Answer:

(n/3)/4 =20

Step-by-step explanation:

i think this is what your looking for if not im sorry

have a blessed day :)

What does A represent in "BA+AB+AB+CAA"

Answers

Answer:

that looks hard sorry i cant help you good luk .

Hello please help me ASAP???

Answers

Answer:

b

Step-by-step explanation:

5 divided by 100 equal 0.005

I will mark you as the brainiest if you get this correct Thx so much xxx

Answers

Answer:

22.7

Step-by-step explanation:

9³-8*6 = 729-48= 681

(8²-4) / 2 = 30

681/30 = 22.7

Answer:

[tex] \huge \boxed{ \blue{ \text{22.7}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:order of PEMDASgiven:[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex]

let's solve:

[tex]step - 1 : define[/tex]

[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex]

[tex]step - 2 : simplify[/tex]

[tex] \frac{ {9}^{3} - 8 \times 6 }{ ({8}^{2} - 4 ) \div 2} [/tex][tex] \frac{729 - 8 \times 6 }{ (64 - 4 ) \div 2} [/tex][tex] \frac{721 -48}{60 \div 2} [/tex][tex] \frac{681}{30} [/tex][tex]22.7[/tex]

Joe went on holiday to Spain.
His flights cost a total of £320
Joe stayed in an apartment for 3 weeks.
The apartment cost 560 euros each week.
Joe hired a car for 15 days.
The car hire cost 20.16 euros each day.
The exchange rate was £1 = 1.12 euros.
Work out the total cost, in pounds, of the flights, the apartment and the car hire.

Answers

The answer is 3814.4 that is what i think

Silver scored 48 points in 4 basketball games. If Silver scored the same amount in each game how many points would he score in 10 games?

Answers

Answer: 120

Step-by-step explanation: He scores 12 points each game. 12 x 10 = 120 Good luck! :D

120. 48/4 equals 12 points a game. Multiply by 10 (games) to get 120 points!

the 100th term of the sequence with the term -1-4n

Answers

Given:

The terms of a sequence are given by

[tex]a_n=-1-4n[/tex]

To find:

The 100th term of the sequence.

Solution:

We have,

[tex]a_n=-1-4n[/tex]

Putting n=100, we get

[tex]a_{100}=-1-4(100)[/tex]

[tex]a_{100}=-1-400[/tex]

[tex]a_{100}=-401[/tex]

Therefore, the 100th term of the given sequence is -401.

Evaluate 2x when X4

what’s the answer for this?

Answers

If x is equal to 4 then you have to substitute the x in the 2x.

So it would look like this:

2(4)

Multiply them 2x4 which would give you 8. So the answer is 8.
8. Sub the 4 for the x. The solve!

4. The black triangle was transformed to
make the gray triangle. Which represents
the transformation?
A (x, y) + (x + 3, y + 3)
B (x, y) → (3x, 3y)
C (x,y) → (x-2, y-2)

Answers

The answer is B

Explanation:

Find the height of a cone with a diameter of 12 m and whose volume is 133 m.

A. 2 m
B. 9 m
C. 3 m
D. 1 m

Answers

Answer:

D

Step-by-step explanation:

Here, we want to get the height of the cone

radius = diameter/2

r = 12/2 = 6 m

To get this, we use the formula for the volume

V = 1/3 * pi * r^2 * h

133 = 1/3 * 3.142 * 22/7 *6^2 * h

h = 1.12 m

(4 x 5)2 - 6 + 3 = ?

Answers

Answer:37

Step-by-step explanation:You multiply the ones that are in the parenthes

The Answer is 37, hope this helps.

Help please, If your mom is making a garden and she wants it it be 5 yards how much cm is that

Answers

Answer:

it would be 457.2 cm or if you want it simplified then it would be 457 cm

hope this helped :)

Solve the equation. 4x-3=5x-7

Answers

Answer:

x=4

Step-by-step explanation:

4x-3=5x-7

-1x-3=-7 Subtract the 5x on both sides

-1x=-4 Add the -3 to the -7

x=4

Answer:

8q7s6271 be ta up dkdieow

y= x + 1
y= -x + 5

what's the answer pls I need it asap​

Answers

Answer:

X= 2 and y = 3

Step-by-step explanation:

x + 1 = -x + 5
2x = 4
x = 2

Explain what effect an index of 0 has​

Answers

Answer:

Zero-based numbering is a way of numbering in which the initial element of a sequence is assigned the index 0, rather than the index 1 as is typical in everyday non-mathematical or non-programming circumstances.

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Solve
7 + X = 2x-5
3

Answers

Answer:

the exact form is 22/5

decimal form is 4.4

mixed number form is 4 2/5

Step-by-step explanation

isolate the variable by dividing each side by factors that don't contain the variable

The price of a car was decreased by 9% to £14000. What was the price before the decrease? Give your answer to the nearest penny.

Answers

Answer:

152600

Step-by-step explanation:

this is because 9% of 140000 is 1523

Expand and simplify (x + 4)(x-7)

Answers

Answer.

(x+4)×(x-7)

= x^2 - 7x + 4x - 28

= x^2 - 3x - 28

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[tex] \frac{2a + b}{3} [/tex]
a=
[tex] \frac{1}{2} [/tex]
b = -4

Answers

Answer:

the value of the equation is -1

evaluate the expression 82+(-17)-(-53)

Answers

Answer:

Step-by-step explanation:

82 - 17 + 53

= 188

Answer:

118

Step-by-step explanation:

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