How many solutions does the following equations have |6x+12|= 12 |6x+12|= -1 |6x+12|= 0 show steps to sloving. How do you know the number or solutions?

Answers

Answer 1

Answer:

|6x+12|= 12 has 2 solutions --> x = -4 or x = 0

|6x+12|= -1 has No solutions

∣6x+12∣=0 has 1 solution --> x = -2

Explanation:

|6x+12|= 12

- Break |6x+12| = 12 down into two equations -

                                ↓

                       6x + 12 = 12

                       6x + 12 = −12

          - Solve both equations to x -

                       6x + 12 = 12

                       6x + 12 = −12

                                ↓

                            6x = 0

                           6x = −24

                                ↓

                             x = 0

                             x = −4

|6x+12|= -1

The absolute value function is always positive or 0 so false.

∣6x+12∣=0

- Because its 0, we simply just solve the equation -

                              6x + 12 = 0

                                     ↓

                                6x = -12

                                     ↓

                                  x = -2

~That's All Folks~

-Siascon


Related Questions

Oscar has baskets that each contain 25 apples. Each day 2 apples are
eaten from each basket. Oscar has (25 – 2d) apples left afterd days in
one basket. If Oscar has 7 baskets of apples, how many apples are left
after d days?

Answers

Answer:

  175 -14d

Step-by-step explanation:

There will be 7 times as many as in one basket.

 7(25 -2d) = 175 -14d . . . . total apples left

what is the approximate value of a local maximum for the polynomial

Answers

Answer:

D) 2.5

                                             Aaliyah- ツ

What the vertex of y=4(x-3)^2+3

Answers

Answer:

(3,3)

Step-by-step explanation:

we rewrite in vertex form and use this form to find the vertex (h,k)

Why is the slope the same on a line when different points are used to identify the slope?

Answers

Different points are used to identify the line, this can mean that both points lie on the same line.
Therefore the slope is the same because the line passes through both those points.

Different points can be used to identify the slope as follows -

We have a straight line.

We have to investigate why is the slope same on a line when different points are used to identify the slope.

What is Slope of a Line ?

The slope of a line is denoted by m and is defined as the change in y coordinate with respect to the change in x coordinate.

According to question -

Different points can be used to identify the slope provided that they all lie on the same straight line. Line is a collection of points and these set of points can be used top determine the rate of change of y with respect to x. The slope of a line can also be found out using y - intercept of the line using the general equation of straight line -

y = mx + c.

Hence, the slope is same on a line provided that they all lie on the same straight line

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4.8 multiplied to 10 to the power -9

Answers

Answer:

000000004.8

Hope it help!

2a- 1-4 1/3a+ 7-a consider the linear expression what are the like terms in the expression simplify the linear expression​

Answers

Answer:

2a7-1

Step-by-step explanation:


A basket contains four apples, three pears, two peaches, if we draw one fruit from the basket, what is the probability of getting a peach or an apple?

Answers

Answer:

The probability of getting a peach or an apple is 2/3.

Step-by-step explanation:

There are two peaches and four apples, so six fruits we want to know the probability of getting, and there are also three pears, which means we have nine fruits total. The chance of getting an apple or a pear is six out of nine, which simplifies to two out of three.

3х + 4y= 4
12х + 16y = 8

Answers

Answer:

No Solution.

Step-by-step explanation:

3x+4y=4

12x+16y=8

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

-4(3x+4y)=-4(4)

12x+16y=8

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

-12x-16y=-16

12x+16y=8

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

0=-8

no solution

find x,y,z : 4x^2+2y^2+2z^2-4xy-4xz+2yz-2y+6z+10=0

Answers

I hope this helps.

Answer:-

   ∴x−3y−4z=0

Explanation:

First we rearrange the equation of the surface into the form f(x,y,z)=0

   x2+2z2=y2

   ∴x2−y2+2z2=0

And so we have our function:

   f(x,y,z)=x2−y2+2z2

In order to find the normal at any particular point in vector space we use the Del, or gradient operator:

   ∇f(x,y,z)=∂f∂xˆi+∂f∂yˆj+∂f∂zˆk

remember when partially differentiating that we differentiate wrt the variable in question whilst treating the other variables as constant. And so:

   ∇f=(∂∂x(x2−y2+2z2))ˆi+

                    (∂∂y(x2−y2+2z2))ˆj+

                    (∂∂z(x2−y2+2z2))ˆk

      =2xˆi−2yˆj+4zˆk

So for the particular point (1,3,−2) the normal vector to the surface is given by:

   ∇f(1,3,−2)=2ˆi−6ˆj−8ˆk

So the tangent plane to the surface x2+2z2=y2 has this normal vector and it also passes though the point (1,3,−2). It will therefore have a vector equation of the form:

   →r⋅→n=→a⋅→n

Where →r=⎛⎜⎝xyz⎞⎟⎠; →n=⎛⎜⎝2−6−8⎞⎟⎠, is the normal vector and a is any point in the plane

Hence, the tangent plane equation is:

   ⎛⎜⎝xyz⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠=⎛⎜⎝13−2⎞⎟⎠⋅⎛⎜⎝2−6−8⎞⎟⎠

   ∴(x)(2)+(y)(−6)+(z)(−2)=(1)(2)+(3)(−6)+(−2)(−8)

   ∴2x−6y−8z=2−18+16

   ∴2x−6y−8z=0

   ∴x−3y−4z=0

Can someone please give me the (Answers) to this? ... please ...

Answers

a.) The SAS Triangle Congruence Postulate states that if if a pair of corresponding sides, a pair of corresponding angles, and another pair of corresponding sides in two triangles are congruent, then the two triangles are congruent. Therefore, we can see that in both triangles, we are only shown a corresponding, congruent right angle. We need two pairs of sides with the corresponding right angles to prove that the triangles are congruent via SAS. We would need to know the length of side VX, and it’s corresponding side length, XV. We would also need to know the side lengths of WV and it’s corresponding side length, XK. We would then need some sort of symbol to represent a congruent relationship if the side lengths are congruent. Then, we would have two pairs of corresponding, congruent sides, and a pair of corresponding, congruent angles. Then, we would have a Side-Angle-Side.

b.) We are given two triangles with a pair of corresponding, congruent sides. We need to have a pair of corresponding, congruent angles, another pair of corresponding, congruent sides to follow SAS. Therefore, we would need to know the angle measures of angles UVW and KVM. We know that they are vertical angles, so they are indeed congruent. Now, we would need to know the side lengths of sides WV and VM. If those sides are congruent, then we have a pair of corresponding, congruent sides, a pair of corresponding, congruent angles, and another pair of corresponding, congruent sides, making SAS.

c.) The Angle Side Angle Postulate states that if there is a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles in two triangles, then the two triangles are congruent. We have a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, but we need another pair of congruent, corresponding angles. Therefore, we would need to know the angle measures of angles MLK and STU. Then we would have a a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles.

Please give Brainliest! This took a lot of time!

Answer:

To be congruent at b. no. UV= VK,V=V,UW=KM.

To be congruent at C no. M=S,LM=ST,LK=TU.

y=-2x2+12x-26


Rewrite the equation in vertex form and identify the vertex, the axis of symmetry, and the y-intercept.

Answers

Answer:

y = 12x - 22

Step-by-step explanation:

If we first write the equation in vertex form and we identify it (I think you meant to simplify y) we get y = 12x - 22 as your answer!

Maija is bicycling north on a straight path. She bicycles for
17.
4
kilometers when she realizes she is
thirsty. Maija remembers passing a water fountain
2 kilometers earlier By rounding to the nearest
whole number, estimate the distance from the beginning of Maija's ride to the water fountain

Answers

Answer:

The awnser is 19 Kilometers

a store is handing out scratch-off cards to its customers .for each card a customer wins either a coupon or a free t-shirt .the ratio of coupon cards to t-shrits is 9:2 .the total of 8,250 cards how many of the cards are t-shirts cards

Answers

Step-by-step explanation:

Ratio 9:2, therefore total number of shares is 11.

because 9+2 = 11

total cards = 8,250

8,250/11 = 750

This is the value for one of the shares.

As the ratio is 9:2 we can find:

9 X 750 : 2 X 750

To see what everyone has won.

T-shirts : 2 X 750 = 1,500.

Hope you understand how it's done, if not leave a comment and I'll try to be more thorough

which is a better deal? 5 pens for $1.85 OR 8 pens for $3.12 ? find the unit rate

Answers

Answer:

5 pens

Step-by-step explanation:

1.85 divided by 5 is .37

3.12 divided by 8 is .39

so 1.85 is a better deal

Last week, you finished Level 2 of a video game in 32 minutes. Today, you finish Level 2in 28 minutes. What is your percent of change

Answers

Answer:

12.5% decrease

Step-by-step explanation:

[(V2 - V1)  /  V1] x 100 = Percent Change

Use the quadratic formula to solve for x.

9x^2-3x=1
Round the answer to the nearest hundredth
Last question.

Answers

Answer should be if not sorry
X= 1-5/6

Marhannah must make a costume for the school play. She needs a piece of fabric that’s is 8/3 yards long and 3/2 yards wide. What is the area of the piece of fabric Marhannah needs?

Answers

Answer:

Our material is 54" wide. Here is a helpful chart to help you quickly convert linear yards into inches and feet.

How big is one linear yard of fabric?

Yards Length Width

3 108 Inches (9 Feet) 54 Inches (4.5 Feet)

4 144 Inches (12 Feet) 54 Inches (4.5 Feet)

Step-by-step explanation:

C A R R Y

O N

L E A R N I N G

The area of the piece of fabric Marhannah needs is 4 yards.

Steps:
area = l x w
area = 8/3 x 3/2

8/3 • 3/2 = 4

PLLZ HELLP QUESTION IS BELOW!! :D

Answers

Answer:

The answer to the first question is 32 but I don't know the slope of the line, sorry

If a new car is valued at $26,000 and 10 years later it is valued at $7000, then what is the average rate of change
of its value during those 10 years?

Answers

Answer:

The change in value is 19,000 altogether and 1900/year

Step-by-step explanation:

Change in value:

initial value - final value

= $26,000 - $7000

= $19,000

Change in value/year:

change in value/time

= $19,000/10

= $1900/year

Given the function f(x) x^2-2x/x^3 +9x^2-10x Find any holes, vertical asymptotes, and horizontal asymptotes there may be.

Answers

Answer:

See below

Step-by-step explanation:

I assume you mean [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex]:

Holes: Since [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex] reduces to [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex], then there is a hole at [tex]x=0[/tex] as [tex]x[/tex] exists in both the numerator and denominator (however, its limit as x approaches 0 is 1/5).

Vertical Asymptotes: If we further reduce [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex] to [tex]f(x)=\frac{x-2}{(x+10)(x-1)}[/tex], then we see that there are vertical asymptotes at [tex]x=-10[/tex] and [tex]x=1[/tex]

Horizontal Asymptotes: As the degree of the numerator is less than the degree of the numerator ([tex]2<3[/tex]), then there is a horizontal asymptote at [tex]y=0[/tex]

how do you evaluate numbers in math?

Answers

To evaluate an expression in maths, plug in he value of the variable, then simplify the expression following the order of operation.

Assuming we are given the expression, 3x + (2x - 1), and we are required to evaluate the expression, the following shown below is how to evaluate the expression if we are told that x = 1.

First step is to plug in the value of the variable, x, into the expression:

3(1) + (2(1) - 1)

3 + 2 - 1

Using the order of operation, simply

4

Therefore, to evaluate an expression in maths, plug in he value of the variable, then simplify the expression following the order of operation.

Learn more about evaluation on:

https://brainly.com/question/3590570

Which number is closest to 1/2

Answers

Answer:

0.56

it's basically the number closest to 50. Don't get tricked by the 0.05 because that's only 5% not 50%

What two numbers multiplied together equal 8 but when added together equal -6

Answers

Answer:

i believe its -4 and -2

Step-by-step explanation:

hope tha work

Diego has a skateboard, scooter, bike, and go-cart. He wants to know which vehicle is the fastest. A friend records how far Diego travels on each vehicle in 5 seconds. For each vehicle, Diego travels as fast as he can along a straight, level path.

Answers

Answer:

Are there any numbers?

Step-by-step explanation:

Question 14
Determine if the given lines are parallel or perpendicular or neither.
3y=2-x
y=-1/3x+4

Answers

Answer:

The given lines are parallel.

Step-by-step explanation:

3y=2-x

y=-1/3x+4

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

y=2/3-1/3x

y=-1/3x+2/3

y=-1/3x+4

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

Since the two lines have exact same slopes, it follows that these two lines are parallel.

find the domain of f(x). f(x) = √9x+36​

Answers

Answer:

The domain in interval notation is [-4,∝) or set build: {x|x[tex]\geq[/tex]

Step-by-step explanation:

I'm assuming the 9x and the 36 are in the root

[tex]\sqrt{9x+36}[/tex]

first we must solve for x

[tex]{9x+36}\geq 0[/tex]

substract 36 to both sides

[tex]{9x}\geq -36[/tex]

divide by 9 to both sides

[tex]\frac{9x}{9} }\geq \frac{-36}{9}[/tex]

simplify left side

[tex]x\geq \frac{-36}{9}[/tex]

simplfy right side

[tex]x\geq -4[/tex]

The domain in interval notation is [-4,∝) or set build: {x|x[tex]\geq[/tex]-4}

What is the product of 44(4-7)(4)?
-16
O
ОО
-1 -12
-100
8
DONE

Answers

Hey there!

44(4 - 7)(4)

= 44(-3)(4)

= -132(4)

= -528

Therefore, your answer is: -528

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Solve the following system of equations.
4x + 7y= 18
- 7x - 8y = -23
X =

y =

Answers

im lazy to solve in my paper hope it helps

what expressions are equivalent to 7 ^ 8 x 7 ^ -4

Answers

Answer:

7^4

Step-by-step explanation:

The equivalent expression 7^8 x 7^-4 using a single exponent is 7^4

How to write the expression using a single exponent.

From the question, we have the following parameters that can be used in our computation:

7 ^ 8 x 7 ^ -4

This means that

7^8 x 7^-4

Apply the law of indices

So, we have

7^8 x 7^-4 = 7^(8 - 4)

This gives

7^8 x 7^-4 = 7^4

Hence, the solution is 7^8 x 7^-4 = 7^4

Read more about expressions at

brainly.com/question/30492964

#SPJ3

Can i get some help ?:

Answers

Answer:

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

Step-by-step explanation:

7 + 3² - 2.5 / 4 - 1.2 = 4.82142857

( 3/4 + 1/8 ) ÷ 1/8 - 2² = 3

Which means :

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

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