Solve the Inequality algebraically.
4|7 – x|– 5 > 15

Answers

Answer 1

Answer:

Step 1: Add 5 to both sides.

4(|−x+7|)−5+5>15+5

4(|−x+7|)>20

Step 2: Divide both sides by 4.

4(|−x+7|)÷4  > 20÷4

|−x+7|>5

Step 3: Solve Absolute Value.

|−x+7|>5

We know either−x+7>5 or −x+7<−5

−x+7>5(Possibility 1)

−x+7−7>5−7(Subtract 7 from both sides)

−x>−2

−x -1 > -2-1(Divide both sides by -1)

x<2

−x+7<−5(Possibility 2)

−x+7−7<−5−7(Subtract 7 from both sides)

-x-1 > -2-1( Divide both sides by -1)

x<2

−x+7<−5(Possibility 2)

−x+7−7<−5−7(Subtract 7 from both sides)

−x-1 < −12-1 (Divide both sides by -1)

x>12

Hope this helps!


Related Questions

Sally has $21.40 in dimes and quarters. There are a total of 200 coins. How many of each kind of coin does Sally have?

Solving by Systems - What is x and y?
( x = dimes ) ( y = quarters )​

Answers

Answer:

x = 24  <----------->  y = 76

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

24 dimes and 76 quarters.  Hope this helps! :)

Can someone pls help ?

Answers

The answer to that problem is Function one-to-one

{PLSSSSSSSSSSSSSSSSS I NEED HELPPP :((( Im giving away 30 POINTS

A train left a station at 8:00 am going at 45 mph. A second train left the station at 10:00 am going in the same direction at 55 mph. At what time will the second train catch up with the first train?

Answers

Answer:

at 12 pm they will meet

Step-by-step explanation:

common sense.

C = 2πr and C = 24, what is the value of r?

Answers

Answer:

3.81971863421

Step-by-step explanation:

24=2πr

12=πr

r=3.81971863421

List the elements of the set given below.
{xlx is a digit in the number 241,532 }



Can someone help me please

Answers

Answer:

The set = {1, 2, 3, 4, 5}

Step-by-step explanation:

Let us explain how to solve this question

∵ The set = {x : x is a digit in the number 241,532)

→ That means the elements of the set are the digits of the given number

∴ The elements in this set are the digits of the number 241,532

∵ The digits of the number 241,532 are 2, 4, 1, 5, 3, 2

→ In any set of numbers,

Do not repeat any numberArrange the numbers

∴ The elements of the set are 1, 2, 3, 4, 5

The set = {1, 2, 3, 4, 5}

what is the name of the country highlighted in red​

Answers

Answer:

well we need a map or a picture of what is hilighted in red

Please hurry its urgent Thank you

Answers

The answer for the question is D. A^4B^7C^6

Answer:

I'm sure it's D

can you also please mark me as brainliest?

thanks

Which only lists multiples of 18?
1, 2, 3, 4, 6, 9, 18
1, 2, 3, 6, 9, 18
18, 27, 36, 45
18, 36, 54, 72

Answers

It’s the last one 18,36,54,72

Answer row 2

Step-by-step explanation:

Num

Solve the inequality below.
10x – 4 < 6x

Answers

Answer:

x<1

Step-by-step explanation:

Answer:

x<1

Step-by-step explanation:

you have to isolate the variable by dividing each side by factors that dont contain a variable

F(x)=2(x-3)(x-2)(x+1)

Answers

Answer:

2x^3-8x^2+8x+12

Step-by-step explanation:

split them up

use distributive property

2x-6(x-2)

2x^2-4x-6x+12(x+1)

use distributive property again

2x^3+2x^2-4x^2-4x-6x^2-6x+12x+12

simplify

2x^3-8x^2+8x+12

I forgot if you can divide it by 2 or not to simplify it even more. If you can, divide it by 2. I forgot the rules

If you divide it by 2, then the answer is

x^3-4x^2+4x+6

7x+1 + 4x-3= 42

I need help on how to find x

Answers

7x + 1 + 4x - 3 = 42

11x - 2 = 42

add 2 to both sides

11x = 44

divide both sides by 11

x = 4

Hope this helps!

The answer to x is 4

Order the integers {0, |-20|, -3, 19, -13} from least to greatest

Answers

Answer:

-13, -3, 0, 19, 20

Step-by-step explanation:

Since |-20| equal 20 so -13 is the lowest

then -3

then 0

19; 20.

What is the slope of the line 3y = 4x + 5

Answers

The slope is 1 whole and a 1/3. (1.3 recurring)

Do Instagram have a where to see who screenshot your story?

Answers

the answer is : no explanation:
no instagram doesn’t have this feature ‍♀️

Which is more, 1 pound or 12 ounces?​

Answers

Answer: 1 pound

Step-by-step explanation:

Ilke is deciding whether to take his girlfriend on a dinner date or on a movie date the probability of this having a successful dinner is 55%. the probability of this having a successful movie day is 0.45.
Which of these events is more likely?

Answers

Answer:

The dinner date

Step-by-step explanation:

If you wrote 0.0009763 as a single digit times a power of ten, would the exponent be positive or negative?

The exponent would be negative because the original number is greater than one.

The exponent would be positive because the original number is greater than one.

The exponent would be negative because the original number is less than one.

The exponent would be positive because the original number is less than one.

Answers

Answer:

the exponent would be negative because the original number is less than one

Step-by-step explanation:

example: 0,1= 1.10^-1

The exponent would be negative because the original number is less than one. Option 3 is correct.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

0.0009763 can be written as a single-digit time power of ten by the following representation,

0.0009763 = 9.763×10⁻⁴

The power of the integer 10 is shown as the exponent. Here the value of the power of 10 is -4, as a result, the value of the exponent would be negative and it is due to the fact that the original number is less than one.

Thus, the exponent would be negative because the original number is less than one. Option 3 is correct.

Learn more about the integer exponent here:

brainly.com/question/4533599

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this is the other one for that one i couldn't hold it

Answers

Answer:

d

Step-by-step explanation:

Given a = 4, b = -2 and c = 8, evaluate ab - bc. -4 -24 8

Answers

Answer:

-244

Step-by-step explanation:

(4)(−2)−(−2)(8)−4−248

Answer:

8

Step-by-step explanation:

ab - bc

(4)(-2) - (-2)(8)

= 8

The distance between -18 and 15 is equal to _____.

18 - 15
-18 - 15
15 - 18
15 - (-18)

Answers

Answer:

15 -(-18)

Step-by-step explanation:

a double negative is basically a + sign. The distance between -18 & 15 is 33, so 15- (-18) or 15 + 18 is 33 is equivalent

Answer:

15 -(-18)

Step-by-step explanation:

Let f be a differentiable function such that f(3) = 2.345 and f' (x) = ln (x^2+ 1). What is the value of f (5)?
A) 3.301
B) 5.631
С) 6.950
D) 7.976

Answers

Use a linear approximation to [tex]f(x)[/tex] centered at [tex]x=3[/tex]:

[tex]f(x)\approx f(3) + f'(3)(x-3)[/tex]

Then

[tex]f(5)\approx2.345+\ln(3^2+1)(5-3)\approx6.95[/tex]

which makes C the most likely choice.

Here we want to solve the differential equation, by finding the Taylor expansion of the function and evaluation we will find that f(5) = 6.950, so the correct option is C.

Taylor series the equation:

Here we must start by doing a Taylor expansion of the function, remember that the Taylor expansion is given by:

f(x) = f(a) + f'(a)*(x - a) + ...

The series has more terms, but we can work with two to get an estimation, if we use a = 3 we get:

f(x) = f(3) + ln(3^2 + 1)*(x - 3) = 2.345 + ln(10)*(x - 3)

Now we evaluate this in x = 5 to get:

f(5) = 2.345 + ln(10)*(5 - 3) = 6.950

So the correct option is C.

If you want to learn more about Taylor series, you can read:

https://brainly.com/question/9211177

I need help.........

Answers

Answer:

It is the 3rd one

Step-by-step explanation:

TRUST ME

Answer:

x[tex]\leq[/tex]7

Step-by-step explanation:

2(x-1)=12 x-1= 6, 7, 8 ect

x[tex]\leq[/tex]7.

sin 3A = cos (A – 70ᵒ), where A is an acute angle then
A = ________________ ᵒ.

Answers

Answer:

A = 40°

Step-by-step explanation:

[tex] \sin 3A = \cos (A – 70ᵒ) \\ \\ \cos(90 \degree - 3A) = \cos (A – 70ᵒ) \\ \{\because \: \cos(90 \degree - \theta) = \sin \theta \} \\ \\ (90 \degree - 3A) = (A – 70ᵒ) \\ \\ 90 \degree + 70ᵒ = 3A + A \\ \\ 160 \degree = 4A \\ \\ A = \frac{160 \degree}{4} \\ \\ \huge \red{ \boxed{A = 40 \degree}}[/tex]

Add.
8/9x +11/15x
please help

Answers

Answer:

The answer should be 73x/45

sorry if I'm wrong

Step-by-step explanation:

Two trucks leave a factory at the same time. One travels east at 60 mph, and the other travels west at 30mph. In how many hours will they be 150 miles apart ?

Answers

What are the choices

Write this number in scientific notation 38200000
Look at attachment down below

Answers

Answer:

3.82 × 107

Step-by-step explanation:

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

What is a one-to-one function?

a. A function f is called a one-to-one function if it has negative slope.
b. A function f is called a one-to-one function if it is a vertical line.
c. A function f is called a one-to-one function if it never takes on the same value twice.
d. A function f is called a one-to-one function if it is a horizontal line.
e. A function f is called a one-to-one function if it periodically takes on the same value.

Answers

Answer:

C.

Step-by-step explanation:

A one to one function is a function in which an element in a domain is corresponding to the a single element in the range. That is, each element in the domain has exactly one image in the range.

To answer the question that say : What is a one-to-one function?

A function f is called a one-to-one function if it never takes on the same value twice.

Therefore the correct answer is option C.

Convert decimal 1.027 into fraction

Answers

Answer:

1027/1000

Step-by-step explanation:

Which polygon has an interior angle sum of 1080°?

A polygon has 8 sides.
A polygon has 10 sides.
A polygon has 9 sides.
A polygon has 7 sides.

Answers

Answer:

first answer A

Step-by-step explanation:

it's the only one that has 8 sides

For a polygon to have an interior angle sum of 1080°, number of its sides will be 8.

Option A) polygon has 8 sides is the correct answer.

What is a polygon?

A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.

The formula for calculating the sum of interior angles of a polygon is;

S =  ( n − 2 ) × 180°

Where n is the number of sides.

Given that;

The sum of the interior angles S = 1080°Number of sides n = ?

We substitute the value of the sum into our above equation.

S =  ( n − 2 ) × 180°

1080° =  ( n − 2 ) × 180°

( n − 2 ) = 1080° / 180°

n − 2 = 6

n = 6 + 2

n = 8

Therefore, for a polygon to have an interior angle sum of 1080°, number of its sides will be 8.

Option A) polygon has 8 sides is the correct answer.

Learn more about polygons here: brainly.com/question/22408868

#SPJ2

Which is the correct form of the partial fraction decomposition for the expression 4x^3+3^2/(x+1)^2(x^2+7)^2

it's A

Answers

Answer:

A. StartFraction A Over x + 1 EndFraction + StartFraction B Over (x + 1) squared EndFraction + StartFraction C x + D Over x squared + 7 EndFraction + StartFraction E x + F Over (x squared + 7) squared EndFraction

Step-by-step explanation:

edge 2020

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