Mathematics College

Choose the two equations you would use to solve the absolute value equation below. Then solve the two equations. |2x + 5| = 3 A. 2x + 5 = 3 and 2x + 5 = –3; {–1, –4} B. 2x + 5 = 3 and 2x + 5 = –3; {1, –4} C. 2x – 5 = 3 and 2x + 5 = –3; {–1, 4} D. 2x – 5 = 3 and 2x + 5 = –3; {–1, –4}

Answers

Answer 1
To solve

|2x + 5| = 3

solve these 2 equations

2x + 5 = 3 and 2x + 5 = -3

Solution:

2x + 5 = 3 or 2x + 5 = -3

2x = -2   or   2x = -8

x = -1   or x = -4

The correct answer is choice A.

Related Questions

PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Exponential Growth/Decay Function
The value of a car is $21,500. It loses 12% of its value every year.
(a) Write a function that represents the value y (in dollars) of the car after x years. (b) Use the function to estimate the value of the car after 6 years. (round your answer to the nearest whole number)

Answers

Did you get the answer for part b?

which collection of three side lengths will not form a triangle



6, 10 18
10, 12 ,15
10, 15, 6
10, 18 ,12 please tell me how you figured it out.

Answers

To construct a triangle, the sum of any 2 sides of the triangle should be greater than the third side of the triangle.
lets calculate the sums of all the given choices to find out which three lengths given do not form a triangle.

A.
 6,10,18
6 + 10 = 16 
16 is smaller than the third side-18
Therefore these 3 lengths do not form a triangle

B.10,12,15
10 + 12 = 22                  15+12 = 27                         15 + 10 = 25
22>15 (3rd side)            27>10 (3rd side)                    25>12 (3rd side)
In this triangle, sum of all the possible pairs of sides are greater than the third side therefore these lengths can form a triangle 

C.10,15,6
10 + 15 = 25                      15 + 6 = 21                              10+6 = 16
25 >  6                                 21>10                                      16>15
in this too, sum of all the possible pairs of sides are greater than the third side. These lengths can be used to form a triangle

D.10,18 ,12
10 + 18 = 28                      18 + 12 = 30                             10 +12 = 22
28> 12                                    30>10                                      22> 18
Therefore these lengths can also be used to form a triangle

correct answer is 6,10 and 18 these cannot form a triangle
Final answer:

To determine if a collection of three side lengths will form a triangle, we use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. By applying this theorem to each collection of side lengths given, we can determine which ones will form a triangle.

Explanation:

A triangle is a three-sided figure lying on a plane with three angles adding up to 180 degrees. To determine if a collection of three side lengths will form a triangle, we use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

For the collection 6, 10, 18, the sum of the two smaller sides (6 + 10) is less than the largest side (18), so this collection will not form a triangle.For the collection 10, 12, 15, the sum of the two smaller sides (10 + 12) is greater than the largest side (15), so this collection will form a triangle.For the collection 10, 15, 6, the sum of the two smaller sides (6 + 10) is greater than the largest side (15), so this collection will form a triangle.For the collection 10, 18, 12, the sum of the two smaller sides (10 + 12) is greater than the largest side (18), so this collection will form a triangle.

F = {(-1, 2), (3, 2), (4, 2), (0, 2)} Is F a function and why/why not?

Answers

No, because there is one output 2 for all inputs.

What is the slope of the line that goes through (2, 5) and (-6, -2) ?

Answers

Answer:
slope = 7/8

Explanation:
Slope of the line can be calculated using the following equation:
slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]

The two points given are:
(2,5) representing (x1 , y1)
(-6,-2) representing (x2 , y2)

Substitute with the points in the above equation to get the slope as follows:
slope = [tex] \frac{-2 - 5}{-6 - 2} [/tex] = 7/8

Hope this helps :)

Expand the log as a sun or difference

Answers

27. (1/2*log(9) -(4*log(x) +1/3*log(3))/log(a)
  = ((1/2)*2*log(3) -4*log(x) -1/3*log(3))/log(a)
  = ((2/3)*log(3) -4*log(x))/log(a)
  = [tex]\frac{2}{3}\log_a{(3)}-4\log_a{(x)}[/tex]
[tex]\bf \textit{logarithm of factors} \\\\ log_a(xy)\implies log_a(x)+log_a(y) \\\\\\ \textit{Logarithm of rationals} \\\\ log_a\left( \frac{x}{y}\right)\implies log_a(x)-log_a(y) \\\\\\ \textit{Logarithm of exponentials} \\\\ log_a\left( x^b \right)\implies b\cdot log_a(x)\\\\ -------------------------------[/tex]

[tex]\bf log_a\left( \cfrac{9^{\frac{1}{2}}}{x^43^{\frac{1}{3}}} \right)\implies log_a\left( 9^{\frac{1}{2}} \right)-log_a\left( x^43^{\frac{1}{3}} \right) \\\\\\ log_a\left( 9^{\frac{1}{2}} \right)-\left[ log_a\left( x^4 \right)+log_a\left( 3^{\frac{1}{3}} \right) \right] \\\\\\ log_a\left( 9^{\frac{1}{2}} \right)-log_a\left( x^4 \right)-log_a\left( 3^{\frac{1}{3}} \right)\\\\\\ \cfrac{1}{2}log_a(9)-4log_a(x)-\cfrac{1}{3}log_a(3)[/tex]

or more expanded so as 

[tex]\bf \cfrac{1}{2}log_a(3^2)-4log_a(x)-\cfrac{1}{3}log_a(3) \\\\\\ \cfrac{1}{2}\cdot 2log_a(3)-4log_a(x)-\cfrac{1}{3}log_a(3) \\\\\\ log_a(3)-4log_a(x)-\cfrac{1}{3}log_a(3)[/tex]

Which ordered pair represents the x-intercept for the linear equation, 3y + 4x = 8?

Answers

3y + 4x = 8 represents a line on the x-y plane, looking like the image I attached.

To find the x-intercept means to find the place where the line intersects the x-axis. If the line is intersecting the x-axis, then the point where it intersects the x-axis must be a place where y = 0. If y didn't equal 0, then that point wouldn't be on the x-axis.

So, to find the x-intercept, we set y in the given equation to 0, like this:
[tex]3y + 4x = 8 [/tex]
[tex]3(0) + 4x = 8[/tex]
[tex]4x = 8[/tex]
[tex]x = \frac{8}{4}[/tex]
[tex]x=2[/tex]
So, [tex]x=2[/tex]. We assumed that [tex]y=0[/tex] to find the x-intercept at the beginning. Then, our ordered pair in the usual order [tex](x,y)[/tex] is [tex](0,2)[/tex]. You can see this is correct by looking at the attached graph.

Final answer:

To find the x-intercept for the equation 3y + 4x = 8, set y to 0 and solve for x, which results in x = 2. Thus, the ordered pair for the x-intercept is (2, 0).

Explanation:

The question is asking to determine the x-intercept of the linear equation 3y + 4x = 8. The x-intercept occurs where the graph of the equation crosses the x-axis, which is when y is equal to 0. To find the x-intercept, you set y to 0 and solve for x:

3(0) + 4x = 8

4x = 8

x = 8/4

x = 2

Therefore, the ordered pair that represents the x-intercept is (2, 0). This is the point on the graph where the line crosses the x-axis.

A sandwich shop has 30 stores and 60% of the stores are in California. The rest of the stores are in Nevada. How many stores are in California amd bow many are in Nevada?

Answers

60% of 30 = 0.6 x 30 = 18

There are 18 stores in California.

30 - 18 = 12

Theee are 12 stores in Nevada.

Answer:

18

Step-by-step explanation:

List 3 values that would make this inequality true 4n <_ 12

Answers

Divide both sides by 4 to get

[tex]4n \le 12[/tex]

[tex]\frac{4n}{4} \le \frac{12}{4}[/tex]

[tex]n \le 3[/tex]

So we can pick n to be 3 or it can be less than 3

Three values we can pick are: n = 0, n = 1, n = 2

Or we could pick: n = 1, n = 2, n = 3

how to we get radius

Answers

Just remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet. You can also use the circumference and radius equation

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

A; an = 2 • 3n - 1
B; an = 2 • (-3)n - 1
C; an = 2 • 3n
D; an = 2 • (-3)n + 1

Answers

5th term / 2nd term  = r^4 / r  = r^3

r^3 =  162/-6 = -27

so r = -3

a1 * r-3 = -6  so  first term = 2

an = 2. (-3)^(n-1)  Answer 

Its B

The answer is B, I have just confirmed it.

A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets an a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?

Answers

The best expression would be 9.50c + 9.50a. 

Question

A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets an a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?

Answer:

10.50c + a

PLZ GIVE BRAINLYEST!!!

what does x=? I know it is vertical

Answers

the angles are supplementary

7x + x + 20 = 180
8x = 160
x = 20
Hello there!

We know a vertical line = 180 degrees


x + 20 + 7x = 180

we can simplify this

20 + 8x = 180

To solve this, we can work backwards.

180 - 20 = 160

8x = 160

160/8 = 20

x = 20 degrees


Hope I helped!

Let me know if you need anything else!

~ Zoe 

0.5x+78.2=287 whats the value of x

Answers

0.5x+78.2=287
-78.2 -78.2 SUBTRACT 78.2

0.5x=208.8
/.5 /.5 DIVIDE BY .5

x=417.6 ANSWER

Giving brainiest+points need explanation on this one my answer is 25 is it right?

Answers

yes, the answer of 25 is correct.

simplify 4 (-w + 8) by distributing.

Answers

4 ( -w + 8)
you multiply 4 and -w, 4 and 8.
so

-4w + 32

Find the points on the surface 4 x^2 + 4 y^2 + 1 z^2 = 1 at which the tangent plane is parallel to the plane -4 x - 4 y + 4 z = -8.

Answers

i dont know i will tell you when i find out

A right triangle has one leg that is 17 centimeters shorter then the other. If the hypotenuse is 25 what is the length of the two legs

Answers

Let x represent the shorter leg. Then the Pythagorean theorem tells us
  x^2 +(x +17)^2 = 25^2
  2x^2 +34x +289 = 625
  x^2 +17x -168 = 0
  (x -7)(x +24) = 0 . . . . . the zero product rule tells you x=7 is the solution

The shorter leg is 7 cm; the longer one is 24 cm.

How to find turning point of (c-2)^3+8

Answers

A "turning point" is generally considered to be a point where the first derivative changes sign. This function does not meet that requirement anywhere.

The function has a point of inflection at (2, 8), where the curve is horizontal, but does not reverse direction.
hello there!

to find the turning point, you must have a function, so let's set this expression equal to y.

y=(c-2)^3+8
y'=3(c-2)^2

Now set y' equal to 0...

3(c-2)^2=0
3(c-2)(c-2)=0
c=2

Now that we know c=2, plug this in to the original equation to get the y-value for the turning point.
The turning point is (2,y) we will find y now...
y=(2-2)^3+8
y=0+8
y=8

The turning point is at (2,8)

The explanation for this is that the x values of the zeros of the derivative function are the same as the x values as the turning points on the original function.

I really hope this helps!
Best wishes :)

How much money does the average professional football fan spend on food at a single football game? that question was posed to 10 randomly selected football fans. the sample results provided a sample mean and standard deviation of $14.00 and $2.50, respectively. use this information to construct a 90% confidence interval for the mean?

Answers

Hi!

When the mean ([tex]\bar{x}[/tex]), the number of samples (n) and standard deviation (σ) are known, you can apply the following equation to determine confidence intervals. The value of z at 90% confidence can be found in tables (It is 1,645).

[tex](\bar{x}-z* \frac{\sigma}{ \sqrt{n} },\bar{x}+z* \frac{\sigma}{ \sqrt{n} }) \\ \\ (14-1,645* \frac{2,50}{ \sqrt{10} },14+1,645* \frac{2,50}{ \sqrt{10} } \\ \\ (12,70\$;15,30\$) [/tex]

Have a nice day!

Multiply x^2-8x+15/3x * 8x/x-3

Answers

You must follow the steps below:

 1. First, you should apply the dstributive property:

 =(x²-8x+15/3x)(8x/x-3)
 =(8x³-64x²+120x)/3x(x-3)

 2. As you can see, the common factor in the numerator is: "8x". So, you have:

 =8x(x²-8x+15)/3x(x-3)

 3. Then, when you simplify, you obtain:

 =8(x²-8x+15)/3(x-3)

 Therefore, the solution is: 8(x²-8x+15)/3(x-3)
 

Write equations for the horizontal and vertical lines passing through the point (5, -6)
Horizontal line:
Vertical line:

Answers

check the picture below.

Solve this derivative using the quotient rule

Answers

[tex]\bf y=\cfrac{(-x+5)^5}{3x-4}\implies y=\cfrac{(5-x)^5}{3x-4} \\\\\\ \cfrac{dy}{dx}=\stackrel{quotient~rule}{\cfrac{5(5-x)^4(-1)(3x-4)~~-~~(5-x)^5(3)}{(3x-4)^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{-5(5-x)^4(3x-4)-3(5-x)^5}{(3x-4)^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{\stackrel{common~factor}{-(5-x)^4}[5(3x-4)+3(5-x)]}{(3x-4)^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-(5-x)^4~~[15x-20+15-3x]}{(3x-4)^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-(5-x)^4~~[12x-5]}{(3x-4)^2}\implies \cfrac{dy}{dx}=\cfrac{(5-x)^4~~[5+12x]}{(3x-4)^2}[/tex]

Richard goes to the electronics store. He buys 2 memory cards that cost $8.99 each and 3 packages of batteries that are on sale for $7.47 each. He also buys a case for his cell phone for $2.99 and a wireless headset for $29.99. What is the total cost of Richard’s items, before sales tax?

Answers

2*8.99 +3*7.47 +2.99 +29.99 = 73.37

Richard's items cost $73.37 before sales tax is added.

Joan and Ernie are earning money for summer camp. Joan receives a $7 weekly allowance plus $6 for each hour she helps her father paint. Ernie writes the equation y = 5x + 7 to represent the relationship between the number of hours he helps his father with yard work and his weekly allowance. Which statement best describes the graphs of their earnings for one week?

Answers

The Correct statement are:

Joan has more money in 10 weeks

Their y-intercepts are the same

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Joan:

Joan receives a $7 weekly allowance plus $6 for each hour

so, the Equation for Joan Earning, y= 6x+ 7

Ernie Earning y = 5x + 7

So, the slope for Joan is 7 and Ernie's slope is 7.

Then, the Correct statement is:

Joan has more money in 10 weeks

Their y-intercepts are the same

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ3

How do you do question number 5? If you do it can you please explain how to do it? Thank you!!

Answers

F(-3) = 4(-3) - 3 = -12 - 3 = -15.
H(2) = -5(2) + 7 = -10 + 7 = -3.

F(-3) + H(2) = -15 + -3 = -18.

The solution is -18.






Answer:

F(-3) = 4(-3) - 3 = -12 - 3 = -15.

H(2) = -5(2) + 7 = -10 + 7 = -3.

F(-3) + H(2) = -15 + -3 = -18.

The solution is -18.F(-3) = 4(-3) - 3 = -12 - 3 = -15.

H(2) = -5(2) + 7 = -10 + 7 = -3.

F(-3) + H(2) = -15 + -3 = -18.

Step-by-step explanation:

For the number -5/8 name the opposite, reciprocal and absolute value

opposite:
Reciprocal:
Absolute value:

Answers

opposite-   5/8
reciprocal-   -8/5
absolute value-   5/8

geometric mean for 12 and 3

Answers

Geometric mean for 12 and 3 = √12*3 = √36 = 6

answer
Geometric mean for 12 and 3 = 6
hey there! :D

To find the geometric mean, you multiply the numbers and then find the square root. 

12*3= 36

The square root of 36 is 6.

The geometric mean is 6. 

I hope this helps!
~kaikers

Volume is always measured in square units. True False

Answers

Hello,

The answer is option B "false".

Reason:

The answer is false because the volume can be measure in anyway for example: feet, yards.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit
Hello there!

This statement would be know to be (false).

Volume is something that is used to help add what is already measured. Volume can be measured in all different aspects, not only using squared units. This would be false because volume has to ability to be measure in any way that it would want to, but it would only have to complete its purpose, to add what the object is.

Your answer: False.

Jake needs to put gas in the delivery van. Regular gasoline is $3.20 per gallon. He only had a $ 20 bill on him. How many gallons can he buy

Answers

Hello,

The answer is "6 gallons".

Reason:

Just divide 20 by 3.20.....

20/3.20=6.25

Round to the nearest whole number will be 6.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

he can buy 6 galons and he got 58 extra

during the rice of industrialization in the 1840s the majority of immigrants come from

Answers

Most of the immigrants are from Ireland and German.

Hope this helps!
the answer is ireland and germany
Other Questions
Shakespeare writes in A Midsummer Night's Dream:"Ay me! for aught that I could ever read,Could ever hear by tale or history,The course of true love never did run smooth"-- Act 1, Scene 1PROMPT:K12 PLEASE HELP 30 POINTS-What is Shakespeare saying about love in these lines?-If you had to choose a theme related to love what would it be for this play?-Focus on at least 2 characters in the play to provide support for your theme.Use the RACES method to construct your answer (which includes citing lines/pulling details from the text) and following proper grammar and capitalization rules. 20 PTS! What are the different shapes of a data set? Explain left and right skew and how this affects the mean of a data set. Thanks, any help is much appreciated! :) Tricia is baking a key lime pie for her friends. She is baking the pie in a pie dish that is 9 inches in diameter. What is the circumference of her pie? What similarity can be drawn between state and national governments? in what why did president taft accomplish more than president roosevelt Mark wants a new car that costs $30,000. He only has $500 in his savings account and $300 in his checking account. Which financing option should he choose? Invasive species have a higher reproductive potential than native species.b.invasive species are keystone species.c.invasive species are not held in check by the predators and agents of disease that have always been in place for native species.d.invasive species come from geographically isolated regions, so when they are introduced to regions where there is more competition, they thrive.e.invasive species are less efficient than native species in competing for the limited resources of the environment. Which is not a responsibility of a county government which of these statements is true?A. RNA codes for DNA which codes for proteinsB. DNA codes for proteins which codes for RNAC. DNA codes for RNA which codes for proteinsD. RNA codes for proteins which code for RNAI WILL GIVE 41 POINTS! in the contexts of the poem why do people follow the crowd How did the revolutionary war affect the iroquois apex? How is citizenship related to voting? Question 12 options: Only citizens are allowed to vote in elections. Only natural-born citizens may vote in elections. You can vote regardless of your citizenship status. You must be a citizen for five years before voting in an election. A triangle in the xy-coordinate plane has vertices with coordinates (7, 0), (0, 8), and (20, 10). what is the area of this triangle Namely is putting up a fence in her yard to make a dog run the dog run is 20 feet long and 15 feet wide how much fencing does she need for the dog run Where in a data table should units of measurement be shown A steel reinforcing rod is 12 ft. long and 1" thick in diameter. If a cubic foot of steel weighs 490 lb., how much does the rod weigh (to the nearest pound)? what are the values of x and y?a) x= 136/15, y= 17/15b) x= 64/15, y= 17/15c) x= 8/15, y= 136/15d) x= 64/15, y= 136/15 Kurt and mitch visit an amish village on a class trip. "let's see if we can round up some old radios and appliances and drop them off for them later this week. i think they'll appreciate it. they just don't understand what they're missing." mitch rolls his eyes. kurt's perspective is an example of _______.a. material cultureb. cultural imperialismc. ideal cultured. behavioral normativity In Andrews Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He figures he has time to make, at most, 25 pieces of furniture by this Saturday. The materials for each bookshelf cost him $20.00 and the materials for each table cost him $45.00. He has $675.00 to spend on materials. Andrew makes a profit of $60.00 on each bookshelf and a profit of $100.00 for each table. How many of each piece of furniture should Andrew make to maximize profit? A. define variables B. Write the constraint inequalities that represent the situation, and explain what each of the inequalities represents. (You should have four inequalities.) C. What are the vertices of the feasible region? Preparar informes de ventas: ayudar al gerente: administrar la base de datos: distribuir el correo: tener que ir a reuniones: