What is the solution set of this inequality? 3|p + 4| + 5 < 8 (–5, –3) (–3, 0) (0, –5) (3, 5)

Answers

Answer 1

Given:

The inequality is

[tex]3|p+4|+5<8[/tex]

To find:

The solution set for the given inequality.

Solution:

We have,

[tex]3|p+4|+5<8[/tex]

[tex]3|p+4|<8-5[/tex]

[tex]3|p+4|<3[/tex]

Divide both sides by 3.

[tex]|p+4|<1[/tex]

It can be written as

[tex]-1<p+4<1[/tex]

Subtracting 4 from each side, we get

[tex]-1-4<p+4-4<1-4[/tex]

[tex]-5<p<-3[/tex]

The solution set of the given inequality is (-5,-3).

Therefore, the correct option is A.


Related Questions

You can earn 5 coins
What is the slope of the function below?
y = 4x +4

Answers

Answer:

The slope is 4

Step-by-step explanation:

The answer is 4

Someone help me it’s really hard

Answers

Answer:

The ordered pair (15, 12) means that 15 pounds of beans cost $12.

Step-by-step explanation:

(20, 16)

(x, y)

x is along the x-axis and y is along the y-axis.

x = 20 = 20 pounds of beans

y = 16 = 16 is the cost of the beans

(15, 12)

x = 15 is 15 pounds of beans

y = 12 is 12 for the cost of the beans

Answer: 15 pounds of beans costs 12 dollars

Step-by-step explanation:

if the x-axis represents the pounds of beans, then any x-coordinate will be beans.

what is the solution to this equation? 3^2x+12=39

Answers

Answer:

x=3

Step-by-step explanation:

3^2x+12=39
9x+12=39
9x=27
x=3

What is m∠8 if m∠4 = 50°?

Answers

Answer:

it would also equal 50

Step-by-step explanation:

angle 4 and angle 8 are corresponding angles meaning that they are the same angle

a, they make the same angle therefore have the same measurement

Determine the intercepts of the line.
x-intercept: (_,_)
y-intercept: (_,_)

Answers

Answer:

x int(-7.5, 0)

y int (0, 5.5)

Step-by-step explanation:

Answer:

X? im not sure about it...

Please help me. I would really appreciate it

Answers

Their is nothing in the picture, it’s all black

I NEED HELP ASAPPPPP 6
Directions - Create a Pythagorean Theorem equation for the diagram, then solve for
the unknown side. If necessary, round to two decimal places.
X
9
Equation:
X =

Answers

Answer:

9²=6²+?²

81-36=?²

?=√45=3√5

In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 5%. To the nearest 100 people, what was the population in 2020?

Answers

Answer:

172000

Step-by-step explanation:

Population growth from  2010 to 2015 if population increased by 8% =

1.08 x 168,000. = 181440

Population growth from  2015 to 2020 if population decreased by 5% =

0.95 x 181440 = 172,368

Rounding off to the nearest 100 people = 172,000

The population in the year 2020 is 172,368.

Calculation of the  population in 2020:

Since

In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 5%.

So,

[tex]= 168000 \times 1.08 \times 0.95[/tex]

= 172,368

hence, The population in the year 2020 is 172,368.

Learn more about population here: https://brainly.com/question/13977748

Convert 203 yards into meters.

Hint: 1 yard=0.91 meters

Answers

Answer: 184.73 meters

Step-by-step explanation:

1 yard = 0.91 meters

Given

There are 203 yards

Calculate

203 yards × 0.91 meters/yard = 184.73 meters

Hope this helps!! :)

Please let me know if you have any questions

Find the area of the figure

Answers

Answer:

Step-by-step explanation:

i cant give you an exact answer but look up the formula for trapezoid and look up the formula for triangle and you will get your answer.

Answer:  Area 89m^2

Step-by-step explanation:

To find the area of the rectangle we multiply

Base * Height = Area

8 * 13 = 104

Now we find the area that isn't shaded

I inference that the base of the triangle is 5m  

5 * 6 = 30

Now divide that by 2

30/2 = 15

Subtract 15 from 104

104 - 15 = 89m^2

Amy, Dan, and Mike are competing in a cooking competition. They all used different amounts of milk from a container holding 6 gallons of milk.

Amy used 13% of the total milk in the container.
Dan used 0.14 of the total milk in the container.
Mike used 0.5 gallon of the total milk in the container.
Who used the greatest amount of milk from the container? Show your work and explain your answer in words.

Answers

Answer:

Amy: 0.78 Gallons

Dan : 0.14 Gallons

Mike: 0.5 Gallons

Answer: Amy

Step-by-step explanation:

Look closely

What is the distance from P to Q?​

Answers

Answer:

B) 5 units

Step-by-step explanation:

3-(-1)²+-1-(-4)²=c²

4²+3²=c²

16+9=c²

25=c²

√25=c

5=c

Can someone help me please?!

Answers

Answer:

its three good sir

Step-by-step explanation:

an item is regularly priced at $85. Amanda bought it on sale for 95% off the regular price. how much did she pay​

Answers

Answer:

$4.25

Step-by-step explanation:

x = 95

85  100

100x=95x85

100x=8075

100     100

8075/100= 80.75

85-80.75=4.25

If a chord of a circle is 6 and is twice as far from the center chord of length 12, how long is the radius of the circle?

Answers

Answer and explanation:

A center chord in a circle is the diameter of that circle. Therefore a center chord of a circle is different from other chords that touch two points on the circle but not in the center of the circle. A diameter of a circle is the chord that runs the length of the center of the circle touching two points at the edge of the circle. A diameter is twice the radius of the circle. So if the diameter of the circle is 12cm then the radius of the circle is 6cm

simplify the product.
[tex]10\sqrt{12x^{3} } . 2\sqrt{6x^{5} }[/tex]
full calculations please!!

Answers

Answer:

[tex]120x^4\sqrt{2}[/tex]

Step-by-step explanation:

First we need to break down the numbers in the radicals into its factors

so

12= 3*2*2

x³=x*x*x

Which means we have

[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]

and

[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]

Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here

which means we have

[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]

PLEASE HELP ITS DUE SOIN AND I DONT KNOW HOW TO ANSWER​

Answers

Answer:

y = - 3

Step-by-step explanation:

Given the 2 equations

6x + 11y = - 3 → (1)

4x + y = = 17 → (2)

Multiplying (1) by 4 and (2) by - 6, then adding will eliminate the term in x

24x + 44y = - 12 → (3)

- 24x - 6y = - 102 → (4)

add (3) and (4) term by term to eliminate x

0 + 38y = - 114

38y = - 114 ( divide both sides by 38 )

y = - 3

Answer asap plz !
How do I solve the triangles ?

Answers

Answer:

I'm so sorry I only found the area of the first triangle with the measurements 11, 10 and 17

I'll show you how to find the area

Step-by-step explanation:

The formula for a triangle is base x height divided by 1/2

For the first triangle the base is 11 and the height is 10

base(11) x height(10) = 110 then divide 110 by 1/2 = 55

so the area of the first triangle is 55.

Sorry again this is only the area of the first triangle.


Given that triangle LMN is
similar to triangle GJH, what is
the value of x?

Answers

Answer:

x = 53

Step-by-step explanation:

Similar means that the corresponding angles are congruent (the same) - basically what this means is that ∠L ≅ ∠G, ∠M ≅ ∠J, and ∠N ≅ ∠H.

Since we know that the angle measures in a triangle should add up to 180 and we know the measures of ∠L and ∠M already, we can do

180 =  67 + 60 + N

So, N = 180 - (67 + 60) = 180 - 127 = 53.

Since ∠N ≅ ∠H, ∠H = 53.

Please help divide 10u^2− 4u/2u
Options
10u−4

5u−2

10u− 42

5u− 22

Answers

Answer:

5u-2

-_-_-_-_-_-_-_-_-

WHAT IS
1+2+3+4+5=?
IS IT 15

Answers

Yes it is 15 because 1+2 is 3 3+3=6 6+4=10 and finally 10+5=15

Answer:

1+2+3+4+5=3+7+5=10+5=15yes it is

(3x−1)+x2−4 when x=3

Answers

Answer:

10

Step-by-step explanation:

(3x-1)+2x-4 turns into

(3x3 -1)+2x3 -4

(9-1)+6-4

8+2

10

If 4x-4t=-10 is a true equation, what would be the value of 4x-4y+9?

Answers

Answer:

uhh... that is impossible to know since we don't know the value 'y'

Step-by-step explanation:

we need another equation to solve this.

There is a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow. What is the probability of picking yellow marble, keep it, and then picking a blue marble?

Answers

Answer:

1:6

Step-by-step explanation:

you have one out of 6 chances to pick the yellow marble

Answer:

yellow is 1 out of 6

blue 1 of 5

Step-by-step explanation:

brainliest if u want

hope it helps

The area of the circle is 40 yards find the area of the circle. Use 3.14 for π.

Answers

Answer:

Step-by-step explanation:

We know that the area of the circle is 40 yards, so the area of the circle would be 40 yards.

Answer:

5026.55

Step-by-step explanation:

A=πr2=π·402≈5026.54825

A solution to a system of equations will always be in what form?"​

Answers

Answer/Step-by-step explanation

set of values that satisfy all equations in the system, and there can be many such answers for any given system. Answers are generally written in the form of an ordered pair: (x,y).

Easy math Show all work

Answers

Answer:

15/12

Step-by-step explanation:

5/6+5/8(2)/3= 5/4=1 1/4

Decimal version: 1.25

Hope this helps (sorry if it’s a bit confusing)

My handwriting is not great so sorry if it’s not very clear but I got 1 1/4

What is the value of y?

Answers

Answer:

I think it is 3????

Step-by-step explanation:

I'm not sure but 36 / 12 = 3 so yea.

Hopefully this is right!

Please help i am super confused on what to do :)

Please explain how you got your answer too

Dont write something dum because i will report it i just need help on this question​

Answers

Answer:

About 9.1 yards tall.

Step-by-step explanation:

So, we can draw the right triangle shown below:

We want to find h.

Since we know the angle and the side adjacent to the angle and we wan to find the opposite side, we will use the tangent ratio:

[tex]\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

So:

[tex]\displaystyle \tan(20)=\frac{h}{25}[/tex]

Therefore:

[tex]\displaystyle h=25\tan(20)[/tex]

Use a calculator. Ensure your calculator is in the correct mode (degrees mode):

[tex]h\approx 9.1\text{ yards}[/tex]

The goal post is around 9.1 yards tall.

Work out the reciprocal of 0.4

Answers

Answer:

1/0.4=10/4=5/2...............

0.4= 4/10
Reciprocal of 4/10= 10/4

You can leave the answer here
But if you want to further simplify it then:

10/4= 5/2
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