Which of the following is(are) the solution(s) to 4 |x+3|>8

Answers

Answer 1

Answer:

x>-1              or        x<-5

Step-by-step explanation:

4 |x+3|>8

Divide each side by 4

4/4 |x+3|>8/4

|x+3|>2

Absolute value inequalities have 2 solutions, one positive and one negative

Remember to flip the inequality when finding the negative solution

x+3 >2      or       x+3 <-2

Subtract 3 from each side

x+3-3>2-3    or     x+3-3 <-2-3

x>-1              or        x<-5


Related Questions

A bug is 1.2 cm up a wall and climbs up 1.7 cm each second. Another bug is 30 cm up the wall and climbs down 1.5 cm per second. After how many seconds will the bugs be the same height?

Seconds =

Answers

1.2 cm + ( 9 × 1.7 cm ) = 16.5 cm

30 cm - ( 9 × 1.5 cm ) = 16.5 cm

So the answer is 9 seconds!

Hope this helps :)

Let me know if my answer is incorrect or something :0

A store sells two types of coffee: House blend and Premium blend. Each bag of House blend contains 3 pounds of Type A beans and 2 pounds of Type B beans. Each bag of Premium blend contains 7 pounds of Type A beans and 3 pounds of Type B beans. The store can use at most 105 pounds of Type A beans and at most 60 pounds of Type B beans. Each bag of House blend sells for $6 and each bag of Premium blend sells for $10. How many bags of each type of coffee should the store make in order to maximize its revenue? What is the maximum revenue?

Answers

Answer:

do 3 dived by 2 they the awnser times seven then add 105 then multiply 60 then carry the 3 then add 10 and 6 then add 16 to the awnser and boom!

Step-by-step explanation:

Find the value of x. correct answer please

Answers

Answer:

[tex] x = \sqrt{30} [/tex]

Step-by-step explanation:

By Geometric mean property:

[tex]BD = \sqrt{3 \times 7} \\ BD = \sqrt{21} \\ by \: pythagoras \: theorem \\ {x}^{2} = { (\sqrt{21}) }^{2} + {(3)}^{2} \\ {x}^{2} = 21 + 9 \\ {x}^{2} = 30 \\ x = \sqrt{30} [/tex]

What is the area length of a semi circle with the radius of2

Answers

Answer:

12.56

Step-by-step explanation:

The points A (-3, -2), B (-3, 3) and C (5, 3) are 3 points.
What type of triangle is ABC?

Answers

Answer:

right triangle or scalene

find two numbers whose sum is 24 and whose difference is 6.

Answers

Answer:

9 and 15

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

x +y= 24 -----(1)

x -y= 6

x= y +6 -----(2)

Substitute (2) into (1):

y +6 +y= 24

2y +6= 24 (simplify)

2y= 24 -6 (-6 on both sides)

2y= 18

y= 18 ÷2

y=9

Substitute y= 9 into (2):

x= 9 +6

x= 15

Thus the numbers are 9 and 15.

hi help me right now i am dunb

Answers

I think it’s 300,000

Element X decays radioactively with a half life of 10 minutes. If there are 510 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 21 grams?

Answers

Answer:

46 minutes

Step-by-step explanation:

Willie had 55 baseball cards after trading with his friends. He traded 5 cards for one special card. Lee gave him 11 cards for a Mickey Mantel card. How many cards did Willie start with?

Answers

Answer:

49 baseball cards.

Step-by-step explanation:

First you want to add 5 cards to the 55 for the 5 he traded for the one. You get 60. Then subtract the 11 cards that he was given for the 1. You end up with 49 baseball cards.

The tallest building in Africa is the Carlton Centre in Johannesburg, South Africa. What is the distance from the top of this 735 ft building to the horizon to the nearest mile?


(Hint: 5,280 ft = 1 mi; radius of Earth = 4,000 mi)




The distance from the top of the building to the horizon is ______ miles

Answers

Answer:

b = 33 miles

Step-by-step explanation:

The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.

5280 ft = 1 mile

735 ft = ? miles

cross multiply

735/5280

miles = 0.13920454545  miles

The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14  miles

using Pythagoras theorem

c² = a² + b²

c = 4000.14

a = 4000

4000.14² = 4000² + b²

b² = 4000.14² - 4000²

b² = 16001120.0196  - 16000000

b² = 1120.0196

b = √1120.0196

b = 33.4666938911

b = 33 miles

The temperature at 4:00 P.M. was − 12°C. By 11:00 P.M. the temperature had dropped 14°C. What was the temperature at 11:00 P.M.?

Answers

Answer:

-26

Step-by-step explanation:

If the temperature dropped by 14 degrees than it decreased by 14, which means we subtract:

-12-14= -26

what 3 numbers can be multiplied to make 106

Answers

Answer:

1 x 106 = 106

2 x 53 = 106

53 x 2 = 106

106 x 1 = 106

Step-by-step explanation:

(happy to help)

Answer:

1 x 106 = 106

2 x 53 = 106

53 x 2 = 106

106 x 1 = 106

 Give me Brainliest Plz

can someone help me w #10 and #11

Answers

Answer:

  10. Expanded vertically by 3, shifted left 2 and up 4.

  11. Shifted right 6 and up 7.

Step-by-step explanation:

This sort of question involves matching patterns. You need to know what the various transformations look like, and what that means for a specific parent function.

Here are the transformations used in this problem:

f(x -a)  . . . .  shift f(x) to the right by "a" unitsf(x) +a  . . . .  shift f(x) up by "a" unitsa·f(x)  . . . . .  vertically scale f(x) by a factor of "a"

For these problems, the parent function is f(x) = 1/x.

__

10. The multiplier of 3 in the numerator (3/x) means the function has been scaled vertically (expanded) by a factor of 3.

The replacement of x with x+2 means the function has been shifted to the right by -2 units. That is the same as shifted left 2 units.

The addition of 4 to the function value means the function has been shifted up by 4 units.

__

11. We note the numerator is still 1, so there is no vertical expansion. The replacement of x with x-6 means a right shift by 6 units. The addition of 7 to the function value means a shift up by 7 units.

What is the value of x?
(3x – 14)
x
[4(x – 9)°
Enter your answer in the box.
Next

Answers

22

pretty sure we are doing the same test

If AC = 20 and BC = 17 what is the radius

Answers

The radius of the circle is 10.5.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

AC = 20 and BC = 17

From the figure,

We apply the Pythagorean theorem.

So,

AC² = BC² + AB²

Substituting,

20² = 17² + AB²

AB² = 400 - 289

AB² = 111

Now,

Radius = AB

So,

AB = √111

AB = 10.535

Rounding to the nearest tenth.

AB = 10.5

Thus,

The radius of the circle is 10.5.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ3

Which function is growing the fastest?
A) cubic C) linear
B) exponential D) quadratic

Answers

Answer: (C) the linear

Step-by-step explanation:

at x = 3 the y-value ... is growing

Answer:

Step-by-step explanation:

The rate of growth (the slope of the transformed curve) is first higher than for an exponential function, but later it goes down. ... Initially, the quadratic function grows much faster. The function x² grows from 0 to 1 in finite time, while the exponential function takes from minus infinity to 0.

U should rly help plz

Answers

Answer:

Final result :  

(sorry if this is long)

 a3 - 5a2 + 4a + 5

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((4a-(a3))-3)+(((2•(a3))-5a2)+8)

Step  2  :

Equation at the end of step  2  :

 ((4a-(a3))-3)+((2a3-5a2)+8)

Step  3  :

Checking for a perfect cube :

3.1    a3-5a2+4a+5  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  a3-5a2+4a+5  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  4a+5  

Group 2:  a3-5a2  

Pull out from each group separately :

Group 1:   (4a+5) • (1)

Group 2:   (a-5) • (a2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3    Find roots (zeroes) of :       F(a) = a3-5a2+4a+5

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  5.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,5

Hope it helps!!

Amy‘s design features a polygon with congruent sides. All of the angles are obtuse. Which of the following polygons could be in Amy’s design? Square, trapezoid, equilateral triangle, or regular pentagon

Answers

Answer:

Trapezoid

Step-by-step explanation:

Answer:

Trapezoid I've had this and that's what i answered

Step-by-step explanation:

A circle with radius of 5 cm sits inside a 11 cm x 11 cm rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.​

Answers

Answer:

The area of the shaded region is 42.46 cm2

Step-by-step explanation:

Answer:

5 x 5 = 25

25 x 3.14 = 78.5

11 x11 = 121 - 78.5 = 42.5

42.5 cm

Step-by-step explanation:

HELP ME WITH THESE COORDINATES PLEASE!!!! ❤️

Answers

Answer:

5,4

Step-by-step explanation:

We normally plot the coordinates by (x,y)

Given,x=-5 units away=5(since there is no -ve direction)

y=4 units away=4(since there is no-ve direction)

We have,(x,y)=(5,4)

Now,move 5 units right from 0 in axis which lands to the written bottom 5 in x axis,then move 4 units up which will lead to 1 units less from 5 in y axis. (5,4)

Answer:

5,4

Step-by-step explanation:

We normally plot the coordinates by (x,y)

Given,x=-5 units away=5(since there is no -ve direction)

y=4 units away=4(since there is no-ve direction)

We have,(x,y)=(5,4)

Now,move 5 units right from 0 in axis which lands to the written bottom 5 in x axis,then move 4 units up which will lead to 1 units less from 5 in y axis. (5,4)

Hope this helps!!❤️❤️❤️

How much interest is earned on $140 at 7% for five years?

Answers

Answer:

49

Step-by-step explanation:

140*0.07*5= 49

What is the volume of the following rectangular prism? 9/5 2/3

Answers

Answer:

1.2

Step-by-step explanation:

9/5*2/3=1.2

Answer:

1 1/5

Step-by-step explanation:

9/5 • 2/3 = 1.2 = 1 2/10 = 1 1/5

y= 3x - 7
Complete the missing value in the solution to the equation.
(1, )

Answers

Answer:

(1, -4)

Step-by-step explanation:

y = 3x-7

Let x = 1

y = 3(1) -7

y = 3-7

y = -4

Solve for d. 8d − 6 = 7d

Answers

Answer:1d

Step-by-step explanation:

Step-by-step explanation:

Bringing like terms on one side

8d - 7d = 6

d = 6

Part B:


The high temperature this Sunday is expected to be 5 degrees warmer than the high temperature this Saturday.


Using the line c = 2t - 89, how many more cups of lemonade should Lin expect to sell on Sunday than

Answers

Answer:

Lin should expect to sell 10 cups more

Step-by-step explanation:

The line c = 2t − 89 relates the cups Lin expect to sale (c) with the high temperature of the day (t)

If high temperature on Saturday is t1, then high temperature on Sunday is (t1+5)

Cups sold on Saturday are: 2t1 − 89

Cups sold on Sunday are:  2(t1+5) − 89 = 2t1 + 10 - 89

Cups sold on Sunday - Cups sold on Saturday:

2t1 + 10 - 89 - (2t1 − 89) = 2t1 + 10 - 89 - 2t1 + 89 = 10

Please Help! 13. List all of the elements of each set

a) Set of integer solutions of x^2≤3

Answers

Answer:

S = {-1, 0, 1}

Step-by-step explanation:

First we need to solve the inequation x^2<=3

Using square root in both sides, we have:

|x| <= 1.73

Separating the module in two, we have:

x <= 1.73

x >= 1.73

So we have that -1.73 <= x <= 1.73

Solving this inequation only with integer values, we have:

x = -1, x = 0 or x = 1

So the set of integer solutions is S = {-1, 0, 1}

The population of a city is 300,000 and the annual growth rate is 11%. Write an equation to model the population y after x years.
y=

Answers

Final answer:

The population of a city with an initial population of 300,000 and an 11% annual growth rate can be modeled by the exponential growth equation [tex]y = 300,000(1 + 0.11)^x,[/tex] where x represents the number of years.

Explanation:

To model the population growth of the city with an initial population of 300,000 and an annual growth rate of 11%, we use an exponential growth equation. This type of growth can be represented by the equation y = P(1 + r)^x, where P is the initial population, r is the growth rate in decimal form, and x is the number of years.

For this scenario, P = 300,000 and r = 0.11 (since 11% as a decimal is 0.11). Therefore, the equation to model the population, y, after x years is:[tex]y = 300,000(1 + 0.11)^x,[/tex]

This equation assumes that the growth rate remains constant over the years and that there are no other factors affecting the population size.

Solve the system of equations.
y = 7x + 43
y= 2x + 13

a. (-6, 1)

b. (6, -1)

c. (6, 1)

d. No solution​

Answers

Answer:

x=−6 and y=1

(a)

What is the slope of the line that contains these points?

Answers

Answer:

6

Step-by-step explanation:

The slope (m) can be found using the formula ...

 m = (y2 -y1)/(x2 -x1)

Any pair of points will do. We can use the first two.

 m = (2 -(-10))/(17 -15) = 12/2

 m = 6

Please help on math.

Answers

Answer:

Total area= 207 ft^2

Step-by-step explanation:

You can divide the figure to make 2 big rectangles.

The first has a base of 15 ft and a height of 15 ft

A1 = b * h

A1= 15 ft * 9 ft        A1= 135 ft^2

The second has a base of 12 ft and a height of 6 ft

A2= b*h

A2= 12 ft * 6 ft

A2= 72 ft^2

Total area= A1+A2= 135 ft^2 + 72 ft^2  

Total area= 207 ft^2

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