(Absolute value inequalities) 50 points!

-6|4p+2|+8 > -34

Answers

Answer 1

Answer

p>5/4 or p<-9/4

Step-by-step explanation:

1. first isolate the absolute value by subtracting 8 and then dividing by -6

2. you then split the absolute value inequality into 4p+2>7 and 4p+2<-7

3. When you solve those, you get p>5/4 and p< -9/4

Answer 2

Answer:

[tex] - \frac{9}{4} < p < \frac{5}{4} [/tex]

Step-by-step explanation:

1) Subtract 8 from both sides.

[tex] - 6 |4p + 2| > - 34 -8[/tex]

2) Simplify -34 - 8 to -42.

[tex] - 6 |4p + 2| > - 42[/tex]

3) Divide both sides by -6.

[tex] |4p + 2| < \frac{ - 42}{ - 6} [/tex]

4) Two negative numbers makes a positive.

[tex] |4p + 2| < \frac{42}{6} [/tex]

5) Simplify 42/6 to 7.

[tex] |4p + 2| < 7[/tex]

6) Rewrite the inequality without the absolute value.

[tex] - 7 < 4p + 2 < 7[/tex]

7) Subtract 2 from the whole equation.

[tex] - 7 - 2 < 4p < 7 - 2[/tex]

8) Simplify.

[tex] - 9 < 4p < 5[/tex]

9) Divide the whole equation by 4.

[tex] - \frac{9}{4} < p < \frac{5}{4} [/tex]

Therefor, the answer is - 9/4 < p < 5/4.


Related Questions

WILL GIVE BRAINLIEST! NEED RIGHT AWAY!
The formula
C = 9f + 4p + 4c
gives the number of calories C in a serving of food that contains f grams of fat, p grams of protein, and c grams of carbohydrate.†

Find the number of grams of protein in an 8-ounce serving of vanilla yogurt that contains 179 calories, 3 g of fat, and 31 g of carbohydrate.
g

Answers

Answer:

7 grams of protein

Step-by-step explanation:

C = 9f + 4p + 4c

Plug the given information into the given formula

179 = 9(3) + 4p + 4(31)

Use PEMDAS

179 = 27 + 4p + 124

Combine like terms

179 = 151 + 4p

Subtract both sides by 151 to isolate variable p

179 - 151 = 4p

28 = 4p

Divide both sides by 4 to isolate variable p

28 ÷ 4 = p

7 = p

Your teacher gives you the problem 5 ➗ 1/4. Write a story problem to represent 5 ➗ 1/4. Solve your story problem.

Answers

Answer:

diego has 1/4 of a brownie tray left to split amongst his 5 friends, how many brownies will each  friend get?(0.05)

Step-by-step explanation:

Can you identify what the polynomial is?

Answers

Answer:

are you sure its a polynomial

Step-by-step explanation:

A polynomial is a combination of terms separated by

+

or

signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Polynomial

Find x.
(7x + 73)
K
M
J
59

Answers

Could you add more details? This question is unsolvable on it's own.

(5, -1), (2.4) answer 1: 5/3 answer 2: -5/3

Answers

Slope= -5/3 when using y^2-y^1 divided by x^2-x^1

Answer:

Slope= -5/3 when using y^2-y^1 divided by x^2-x^1

Write each polynomial in standard form. Identify the leading coefficient.


4x + 2x5 – 6x3 + 2

Answers

Given:

The polynomial is

[tex]4x+2x^5-6x^3+2[/tex]

To find:

The standard form of the polynomial and leading coefficient.

Solution:

In standard form of a polynomial, we arrange the terms in descending order of their degrees.

Leading coefficient is the constant value before the variable with highest power.

Let the given polynomial be p(x).

[tex]p(x)=4x+2x^5-6x^3+2[/tex]

The standard form of the polynomial is

[tex]p(x)=2x^5-6x^3+4x+2[/tex]

The highest power of x is 5 and 2 is before [tex]x^5[/tex]. The leading coefficient is 2.

Therefore, the standard form of the polynomial is [tex]2x^5-6x^3+4x+2[/tex] and the leading coefficient is 2.

Solve the equation for x:
|3x - 2| = 5

Answers

Answer:

x = 1

Step-by-step explanation:

When there is an equation in absolute form like this |3x - 2| that means that there are no negative numbers or subtraction signs. Instead, such things are reversed, so the simplified equation is

3x + 2 = 5

So then we proceed as normal

3(1) + 2 = 5

3 + 2 = 5

5 = 5

Which number line shows the solution to inequality 3x – 3 < 12?

Answers

Answer:

A

Step-by-step explanation:

The Graph "A" show the value of x in  inequality 3x – 3 < 12

What is inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

What does open circle and close circle shows in graph?

A closed circle indicates "greater than or equal to" or "less than or equal to," while and open circle indicates "greater than" or "less than".

According to the question

Given inequality 3x – 3 < 12

Solving for x

3x – 3 < 12

3x < 12 + 3

3x < 15

x < 5

Open circle will be used to show the greater than sign

Therefore,

Graph  A shows the inequality .

Hence, the Graph "A" show the value of x in  inequality 3x – 3 < 12

To know more about inequality  here:

https://brainly.com/question/15137133

#SPJ2

How many groups of 3 are there in 15?

Answers

Answer:

5

Step-by-step explanation:

15 / 3 = 5

Answer:

5

Step-by-step explanation:

On wends day 72% of the customers who bought gas at the gas station made additional purchases.There were 250 customers who bought gas. How many of the 250 customers made additional purchases

Answers

Answer:

A = 180 customers.

Step-by-step explanation:

Let the number of customers that made additional purchases be A.

Given the following data;

Percentage = 72% = 72/100 = 0.72

Total number of customers = 250

To find the number of customers that made additional purchases;

A = 0.72 * 250

A = 180 customers.

Therefore, 180 customers made additional purchases on Wednesday.

The jackets price was 76€ It was sold on sale with 15% discount. Count the discount and discounted price

Answers

Answer:

=76×15/100

=10.8€ is the discount

=76€-10.8€

=65.2€ is the discounted price

Look at the question below.

Answers

Answer:

8 goody bags

Step-by-step explanation:

Answer: 8 goody bags


Explanation:

It says that you have to fill in all angle measures that are numbered / will give brainlist

Answers

Answer:

<1 = 107

<2 = 73

Step-by-step explanation:

<1 = 107 because of the corresponding angles thm

<2 + 107 = 180

<2 = 73

A scatter plot is shown.
10
4
9
8
7
6
5
.
**
4
3
2.
..
1
1 2 3
4.
5
6
7
8 9 10
Which of these statements are true for the scatter plot? Select all that apply.
The scatter plot shows a positive association.
The scatter plot shows no association.

Answers

Answer:

the scatter plots shows a positive association.

The statement that  are true for the scatterplot is that the scatterplot shows a positive association.

Why does the scatter plot shows a positive association?

There are often seen some patterns or some measures of relationships found in  a scatterplots.

Note that if the y variable do increase just when  x variable is increasing, then you can say there is a positive correlation that exist between the variables.

But when the y variable is said to reduce or decrease just as the x variable is increasing, then you can say there is a negative correlation that exist between the given variables.

Learn more about scatter plot from

https://brainly.com/question/2749543

if f(7)=22, then f-1(22)=

Answers

Answer:

[tex]f^{-1}[/tex] (22) = 7

Step-by-step explanation:

The inverse function maps the output of the function back to its input

f(7) = 22 means when input is 7 the output is 22

The inverse maps the output 22 back to the input 7 , that is

[tex]f^{-1}[/tex] (22) = 7

Find the Scale factor of Figure A to Figure B

Answers

I hope this makes sense and helps :)

Can someone help me with this circle geometry question ty

Answers

Answer:

Step-by-step explanation:

RT × TS = PT × TQ

FIND VALUE OF SLOPE PLEASE

Answers

Slope is -1
Hope this helps

How many tablespoons is one dose

Answers

Answer:

usually 2 depending on age

Solve the quadratic equation, using the factoring method.
[tex]4x^2-8x-4=8[/tex]

Answers

Answer: 4(x-3)(x+1)

4x^2-8x-12=0
4x^2+4x-12x-12
4x(x+1) -12(x+1)
(4x-12)(x+1)
4(x-3)(x+1)

find the value of x in given expression

[tex] {x}^{2} = 32 {}^{2} [/tex]

Answers

I need more info on this so it might be 32 times 32 and that will give you the answer to S

Answer and Step-by-step explanation:

To find the value of x, square root both sides of the equation.

Then, we get x to be 32.

#teamtrees #PAW (Plant And Water)

Trigonometry please help me solve this...

Answers

Answer:

A. 3/5

Step-by-step explanation:

Cosine=Adjacent/Hypotenuse

18/30 simplifies to 3/5

Which shows the GCF of 18 and 24 with
18
24
in simplest form?

Answers

Answer:

6 is the greatest common factor between the two

Step-by-step explanation:

Answer:

6.

Step-by-step explanation:

18 = 2 * 3 * 3

24 = 2 * 2 * 2 * 3

Picking out the common factors ( in bold):

GCF = 2 * 3 = 6.

I need help finding the slope

Answers

Answer:

its negative 1/3

Step-by-step explanation:

shawtyyyy

I need to know what the variable is and please give me the equation.
THIS IS TIMED AND I NEED IT FAST I ONLY HAVE A FEW MINUTES!!!

Answers

Answer:

$9.50 = .25x

Step-by-step explanation:

38 quarters

The schedule for a music showcase includes 3 sets that are 20 minutes each and 1 set that is 40 minutes. There is a 10-minute break between each set. The total length of the music showcase is 3(20 + 10) + 40 minutes. What is the total length of the music showcase?The answers are,A. 73 minutes,B. 110 minutes,C. 130 minutes,and D. 210 minutes,What is the answer?

Answers

Answer:

c.130

Step-by-step explanation: so first you would plus 20 and 10 and that equals 30 then you would multiply 3 times 30 and that equaled 90 now you have 90+40 which equals 130.

On my way to school I stopped for gas and spent $20. This gave me 6.671 gallons of gas. What is the price of the gas per gallon? please help me​

Answers

2.99805126667666 dollars per gallon

Answer:

2.99805126668

Step-by-step explanation:

I got this by doing $20/6.71, since the way to find anything per, is doing

(total amount of money/amount of product given by that amount)

PLEASE HELP!!!!!
The probability of drawing a green marble from a marble bag is 20%. What are the odds in favor of drawing a green marble?
A. 1:4
B. 5:1
C. 1:5
D. 4:1

Answers

Answer:

C. 1:5

Step-by-step explanation:

Use formulas brainiest answer to whoever is first and correct

Answers

Answer:

114

Step-by-step explanation:

A=LxW

19x6=114


NEED HELP ME PLZZZZZZZZ

Answers

A positive slope is a slope that is positive, not negative. The line with the slope increases/moves in an upward direction.
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