solve for z: 11=6|-2z| -5

Answers

Answer 1

Answer:

the roots are {-4/3, 4/3}

Step-by-step explanation:

Begin the solution of 11=6|-2z| -5 by adding 5 to both sides:

11=6|-2z| -5 becomes 16 = 6|-2z|.

Dividing both sides by 12 yields

16/12 = |-z|

There are two cases here:  first, that one in which z is positive and second the one in which z is negative.

If z is positive, 4/3 = -z, and so z = -4/3, and:

If z is negative, 4/3 = z

Thus the roots are {-4/3, 4/3}


Related Questions

Click on the multiplication sentence that helps you solve this problem.
3/7 divided by 4/5

Answers

Answer:15/28

Step-by-step explanation:

3/7 divided 4/5

3/7x5/4=15/28

Answer: 3/7 x 5/4

Step-by-step explanation: 3/7 ➗ 4/5 = 15/28

3/7 x 5/4 = 15/28

F(x)=x2-2x find f(x2)

Answers

answer

0

Step-by-step explanation:

you plug in the 2 into every xbox value

Answer:

f(x)= x²-2x

For finding f(x²), replace x with x²

f(x²)= (x²)²-2x²

= x⁴-2x²

Hope it helps :-)

.
Ms. Lady works-out with Ms. Beetle; her average
crawling time has increased to 4 feet per minute, while
Ms. Beetle, who is used to eating Hot Cheetos and
watching TV, averages 2.5 feet per minute. While at
Senn's Elm Tree-house, the three decide to experiment
with linear equations. The objective is to end up at the
Rose Bush at the same time. Senn still averages 5 feet per
minute. How much of a head start does he need to give
each of his friends in order for their function rules to
intersect at 92 feet (the rose bush). What is the equation
for each bug which makes their experiment successful?
Create a table and graph representing the situation.

Answers

Answer: Please find the attached file for the graph and find the answer in the explanation

Step-by-step explanation:

Let first calculate the normal time each of them will reach the 92 feet distance.

For senn

Time = 92/5 = 18.4 minutes

That means in 18.4 minutes the two other friends must reach the point at 92 feet.

Calculate the distance at the time for each of the friends.

For Ms Lady

Time = 92/4 = 23 minutes

Distance = speed × time

Distance = 4 × 18.4 = 73.9

92 - 73.6 = 18.4 feet

For Ms Beetle

Time = 92/2.5 = 36.8 minutes

Distance = 2.5 × 18.4

Distance = 46 feet

92 - 46 = 48 feet

Therefore, Senn must give a head start of 18.4 feet for Ms Lady

And 48 feet for Ms Beetle in order for their function rules to intersect at 92 feet (the rose bush).

Their equation will be

Ms Lady

Y = 4x + 18.4

Ms Beetle

Y = 2.5x + 48

Ms Senn

Y = 5x

Answer:

Chips are good!

Step-by-step explanation:

round to 2 decimal 0.314

Answers

Answer:0.300

Step-by-step explanation:Just took something familiar

Answer:

0.31

Step-by-step explanation:

Which expression is equivalent to 9+9x+9y?

Answers

Answer:

9(1 + x + y)

Step-by-step explanation:

[tex] \huge 9 + 9x + 9y = \red{ 9(1 + x + y)}[/tex]

-3/7(x-52) given x=10

Answers

Answer:

18

Step-by-step explanation:

-3/7 * ( x-52)

Let x = 10

-3/7 ( 10-52)

-3/7 * -42

-3 * -42/7

-3 * -6

18

A negative number divided by a negative number will result in a _ Quotient

Answers

Answer:

Positive

Step-by-step explanation:

Two negatives make a positive.

Solve the formula C = πd for d

Answers

Answer:

[tex]d = \frac{C}{\pi}[/tex]

Step-by-step explanation:

[tex]C= \pi d\\[/tex]

Isolate d ; Divide both sides of the equation by [tex]\pi[/tex]

[tex]\frac{C}{\pi} = \frac{\pi d}{\pi }[/tex]

Simplify

[tex]\frac{C}{\pi} = d\\\\d = \frac{C}{\pi}[/tex]

Note; Another formula for d(diameter) =

[tex]2\times radius[/tex]

HELP ME!!!!! Solve for X

Answers

Answer:

1. x=6, 2. x=14 3. x= -2, and 4. x=6.5

Step-by-step explanation:

1. 120=20x, x=6.

2. 47=2x+19, x=14

3. 4x+3=2x-1, x= -2

4. 3x+4+7x+11=180, x=6.5

Anthony works as a salesperson at an electronics store and sells phones and phone accessories. Anthony earns a $8 commission for every phone he sells and a $4 commission for every accessory he sells. On a given day, Anthony made a total of $80 in commission and sold 5 more accessories than phones. Graphically solve a system of equations in order to determine the number of phones sold, x,x, and the number of accessories sold, yy.

Answers

Answer:

There were 5 phones sold and 10 accessories sold.

Step-by-step explanation:

13. Emily has h + 15 minutes of homework tonight. Evaluate when h= 20.

Answers

Answer: 35 minutes

Step-by-step explanation:

Since we are given the value of h, we can plug that into the equation and solve.

20+15     [add]

35

Now, we know that it is 35 minutes.

Max has the 14 stickers shown
at the right. He wants to put an
equal number of stickers on each
of 2 posters. Draw circles in each
box to represent the stickers Max
puts on each poster.

Answers

Answer:

7 Stickers on Each Poster

Step-by-step explanation:

Max has 14 stickers, and 2 posters. You have to divide 14 by 2. Or, put one sticker in each box until you run out of stickers. Eventually, you'll end up with 7 stickers in each poster.

two angles of a triangle are 98 degrees and 50 degrees what is the third angle

Answers

Answer:

32 degrees.

Step-by-step explanation:

The three angles in a triangle always add up to 180 degrees.

To find the third angle, [tex]180-50-98=32[/tex].

What is the area of a section of pavement that is 20 ft wide and 50 yd​ long?

Answers

Answer:

3000 feet or 1000 yards because there are 3 feet in a yard, and make sure there is a squared sign at the end of ft or yards( ft^2)    (yd^2)

Step-by-step explanation:

The answer is 3000 feet.

Please help with this

Answers

Answer:

x = 14.75

Step-by-step explanation:

I just used the equation 6x + 10 and replaced the x with every single answer choice. Angle B kinda looks like it's close to a 90⁰ angle but a little more so I chose the answer that fit well with my statement.

What conclusions can you draw from the distances that you recorded in question 7

Answers

Answer:

If corresponding vertices on an image and a preimage are connected with line segments, the line segments are divided equally by the line of reflection. That is, the perpendicular distance from the line of reflection to either of the corresponding vertices is the same. Line  is a perpendicular bisector of the connecting line segments.

Step-by-step explanation:

A freight and passenger train share the same track. The average speed of the freight train is 45 mph, whereas that of the passenger train is 70 mph. The passenger train is scheduled to leave 20 minutes after the freight train departs from the same station. Determine the location where a siding would need to be provided to allow the passenger train to pass the freight train. Also determine the time it takes for the freight train to arrive at the siding. As a safety precaution, the separation headway between the two trains at the siding should be at least equal to 6 minutes.

Answers

Answer:

The first siding should be located at 30 miles

The time for the freight to arrive at the siding is 40 minutes

Step-by-step explanation:

From the given information:

Let [tex]T_f[/tex] represent the time for the freight train

Also, let [tex]T_P[/tex] represent the time at which the passenger train reach the location

Let Y represents the location where the location of the siding of the track needed to take place.

Thus, for freight time:

[tex]T_f = \dfrac{Y}{45} --- (1)[/tex]

The siding location is:

[tex]T_P = \dfrac{2}{6}+\dfrac{Y}{70}[/tex]

[tex]T_P =0.333+\dfrac{Y}{70} --- (2)[/tex]

To determine Y:

[tex]T_P -T_f = 0.1 --- (3)[/tex]

replacing the value of [tex]T_f[/tex]  and [tex]T_P[/tex] in the above equation (3), we have:

[tex]0.333+\dfrac{Y}{70} - \dfrac{Y}{45} =0.1[/tex]

collecting like terms, we have:

[tex]\dfrac{Y}{70} - \dfrac{Y}{45} =0.1-0.333[/tex]

[tex]\dfrac{45Y- 70Y}{3150} =-0.233[/tex]

[tex]\dfrac{-25Y}{3150} =-0.233[/tex]

- 25Y = -0.233 × 3150

- 25Y = -733.95

Y = -733.95/-25

Y = 29.36 miles

Y [tex]\simeq[/tex] 30 miles to the nearest whole number

Thus, the first siding should be located at 30 miles

To estimate the time for the fight to arrive the siding, we replace 30 miles for [tex]T_f[/tex] in equation (1).

Then, we have:

[tex]T_f = \dfrac{Y}{45}[/tex]

[tex]T_f = \dfrac{30}{45}[/tex]

[tex]T_f =0.667\ hr[/tex]

[tex]T_f =(0.667 \times 60 )minutes[/tex]

[tex]T_f =40.2 \ minutes[/tex]

[tex]\mathsf{T_f \simeq 40 \ minutes}[/tex]

Thus, the time for the freight to arrive at the siding is 40 minutes

Find the probability for one roll of a number cube.
P(number is not 5)

A. 0
B. 5/6
C. 1/6
D. 1

Answers

Answer:

for 5 probability is 1/6

for not a five = 1-1/6 = 5/6

Step-by-step explanation:

Given a the line y=2.5x+4, find line whose graph:
is parallel to the graph of the given line.

Answers

Answer:

y=2.5x+10

Step-by-step explanation:

The given line is y=2.5x+4.

Here, the slope of the line, [tex]m_0=2.5[/tex] and

the y-intercept of the line, [tex]C_0=4[/tex].

The graph of the line has been shown in the figure.

The parallel lines never intersect each-other and always have a fixed distance between then.

Mathematically, a line having the slope, m, and the y-intercept, C, i.e

y=mx+C is parallel to the given line if it has equal slopes, [tex]m=m_0[/tex], and different intercepts, [tex]C\neq C_0[/tex].

So, the equation of the parallel line is

y=2.5x+C, where [tex]C\neq 4[/tex].

For example, take C=10 than the equation of a parallel line is

y=2.5x+10 has been shown in the graph.

Like this, there are infinitely many possible parallel lines to the given line.

Marcus collected 5 fewer rocks than esha How many rocks did Marcus collect if esha collected 22 rocks?

Answers

Answer:

17

Step-by-step explanation:

Answer:

22-5=17 the answer is 17

A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?​

Answers

It is 28 feet far above form the ground.

1225=441+B^2

1225-441=B^2

784=B^2

√784=√B^2

28=B

B=28 feet

Solve
- 2 + 3x + 24 = x

Answers

Answer:

x=-1

Step-by-step explanation:

thank me later it correct did the workhope this works

Which linear equation has no solution?

Answers

5x+12=5x-7 is the answer
because 0=-19 has no solution.

Find the inverse.
f(x) = 3x+28

Answers

Set [tex]y = f^{-1}(x)[/tex] and [tex]f(y) = x[/tex]

Interchange the variables [tex]x[/tex] and [tex]y[/tex]

[tex]3y + 28 = x\\3y = x - 28\\y = \frac{x - 28}{3} \\\\f^{-1}(x) = \frac{x - 28}{3}[/tex]

3. Machine A packs 4, cartons in 5 hour.
Machine B packs 4 cartons in a hour.
Which machine packs faster? How
many cartons per hour can the faster
machine pack?
Machine:

Answers

Answer:

Machine B is the faster machine because it packs 4 cartons in an hour while the other machine takes 5 hours to pack 4 cartons. The faster machine can pack 4 cartons in an hour.

Step-by-step explanation:

which unit represents 0.01 liters

Answers

Answer:1 centiliter

Step-by-step explanation:1 centiliter equals 0.01 liters

The answer is 1 centimeter

What is the degree of the polynomial −6x3y2+5x4−7z?

Answers

Answer:

4

Step-by-step explanation:

The degree of a polynomial is a coefficient with the highest power. In the polynomial given, the highest degree (power) is 4.

Best of Luck!

Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest​ tenth? What is the next​ step? What is 5.94 rounded to the nearest​ tenth? The first step in rounding to the nearest tenth is to look at the digit to the right of the tenths place. What is the next​ step?

Answers

Answer:

A

Step-by-step explanation:

Answer:

5.94 rounded up to the neares tenth is 10

Step-by-step explanation:

logic also I don't think there is a next step

the ratio of two numbers is 3:7. the product of these 2 numbers is 189. what is the smaller of these numbers?

Answers

Answer:

9.

Step-by-step explanation:

I am assuming that the two numbers are positive.

Let the numbers be 3x and 7x.

Then 3x * 7x = 19

21x^2 = 189

x^2 = 9

x = 3.

So the smaller of these numbers is 3*3 = 9.

Answer:

9 if that does not work try - 21

Step-by-step explanation:

Let the two numbers be x and y

x/y = 3/7               which means that x is the smaller number.

x*y = 189

Cross multiply the top equation

7x = 3y      

Divide by 7

x = 3/7 ^ y

x*y = 189

(3/7  y) * y = 189

Multiply by 7

3y^2 = 189*7

3y^2 = 1323

Divide by 3

y^2 = 441

Take the square root of both sides

y = 21

The question is a bit ambiguous. You could use - 9 and - 21 in which case the smallest number is -21. I think they intend 9 however.

x = 3/7 * 21

x = 3*3

x = 9

Check

x*y = 9 * 21 = 189

I NEED HELP ASAP SOMEONE HELP ME PLEASE, I MEDD SOMEONE WHO CAN HELP ME WITH THE REST OF MY QUESTIONS

Answers

Answer:

Step-by-step explanation:

K(0 , 4)

Midpoint M (3 , 3)

Let Point  L(x₂ , y₂)

[tex]Midpoint= (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\\\\\\ (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}) = (3 , 3)\\\\\\ (\frac{0+x_{2}}{2},\frac{4+y_{2}}{2}) = ( 3 , 3)\\\\\\[/tex]

Compare x and y coordinates

[tex]\frac{x_{2}}{2}=3 ; \frac{4+y_{2}}{2} = 3[/tex]

Cross multiply,

x₂ = 3*2     ; 4 + y₂ = 3*2

x₂ = 6        ;  4+ y₂ = 6

                         y₂ = 6- 4

                          y₂ = 2

L(6 , 2)

Answer:

6,2

Step-by-step explanation:

I don't think you want to know how I did it, it's pretty boring for most people except me

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