What is the other solution to the equation (Algebra ll) *URGENT*

What Is The Other Solution To The Equation (Algebra Ll) *URGENT*

Answers

Answer 1

Given:

The equation is:

[tex]3-2|0.5x+1.5|=2[/tex]

One solution of this equation is -2.

To find:

The another solution of the given equation.

Solution:

We have,

[tex]3-2|0.5x+1.5|=2[/tex]

It can be written as:

[tex]-2|0.5x+1.5|=2-3[/tex]

[tex]-2|0.5x+1.5|=-1[/tex]

Divide both sides by -2.

[tex]|0.5x+1.5|=0.5[/tex]

After removing the modulus, we get

[tex]0.5x+1.5=\pm 0.5[/tex]

Case I:

[tex]0.5x+1.5=0.5[/tex]

[tex]0.5x=0.5-1.5[/tex]

[tex]0.5x=-1[/tex]

Divide both sides by 0.5.

[tex]x=-2[/tex]

Case II:

[tex]0.5x+1.5=-0.5[/tex]

[tex]0.5x=-0.5-1.5[/tex]

[tex]0.5x=-2[/tex]

Divide both sides by 0.5.

[tex]x=-4[/tex]

One solution of the given equation is [tex]x=-2[/tex] and the another one is [tex]x=-4[/tex].

Therefore, the correct option is B.


Related Questions

How do I write
(28/4) - (x+7) in written form?

Answers

Answer: The quotient of 28 and 4 minus the sum of a number and 7

Step-by-step explanation:

If Q is the midpoint of PR, find the coordinates of R if P(11,-2) and Q(4,3). ​

Answers

Answer:

R = (-3, 8).

Step-by-step explanation:

Recall the midpoint formula:

[tex]\displaystyle M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]

Where M is the midpoint, (x₁, y₁) is one point and (x₂, y₂) is another.

We are given that Q is the midpoint of PR, where P = (11, -2) and Q = (4, 3) and we want to find the coordinates of R.

Substitute Q for M and let P(11, -2) be (x₁, y₁). Hence:

[tex]\displaystyle (4, 3)=\left(\frac{11+x_2}{2}, \frac{-2+y_2}{2}\right)[/tex]

Split into two separate equations:

[tex]\displaystyle \frac{11+x_2}{2}=4\text{ and } \frac{-2+y_2}{2}=3[/tex]

Solve for each case:

[tex]\displaystyle 11+x_2=8\Rightarrow x_2=-3[/tex]

[tex]\displaystyle -2+y_2=6\Rightarrow y_2=8[/tex]

Therefore, our second point (x₂, y₂) is (-3, 8).

Hence, R = (-3, 8).

Answer:

(15/2),(1/2)

Step-by-step explanation:

(x1 + x2 / 2)  ,   (y1 + y2) / 2)

(11 + 4 / 2) , (-2 + 3 / 2)

(15/2) , (1/2)

number of ways you can wear 10 outfits to school each day in a 5 day week

Answers

Answer:

1 day=10outfits

5days=10outfits×5

=50outfits

Step-by-step explanation:

hope this is helpful

Based on the calculation, you can wear the 10 outfits in 50 different ways throughout the week.

How to calculate the number of ways

To calculate the number of ways you can wear 10 outfits to school each day in a 5-day week, you need to consider the total number of outfits across all days. Since there are 10 outfits and 5 days, the total number of outfit combinations can be calculated by multiplying the number of outfits per day by the number of days:

10 outfits/day × 5 days = 50 outfit combinations

Therefore, you can wear the 10 outfits in 50 different ways throughout the week.

Learn more about permutations

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$975, and there is 7 percent sales tax on the purchase.
How much is the sales tax?

Answers

Answer:

$68.25

Step-by-step explanation:

To get the sales tax, you must notice that the sales tax is 7% of 975.

That is equal to:

975 × 0.07

0.07 is equal to 7%, or [tex]\frac{7}{100}[/tex].

The answer to the equation is 68.25.

Can like someone help me I'm lost-

Answers

Answer:

the first graph

Answer:

1st option

Step-by-step explanation:

If the rate of change is constant, then it's always a straight line, so the 1st option, and if you see the graph, you'll see the line is going down at a rate of 1/4, so the slope is 1/4. So the answer to your question will be the 1st option.

Answered by GAUTHMATH

The number 6 is a solution to which of the following inequalities?
X - 13 > 7
6x < -12
6x > 32
21 + x < 28

Answers

Answer

6x<-12

Step-by-step explanation:

Answer:

There would be 2 answers in this case:

C. 6x > 32

and

D. 21 + x < 28

Step-by-step explanation:

A. Incorrect

6-13 = -7, and -7 is NOT greater than 7

B. Incorrect

6(6) = 36, and 36 is NOT less than -12.

C. Correct

6*6 = 36, which is greater than 32.

D. Correct

21+6 = 27, which is less than 28.

hhhhhhhhhheeeeeeeeeeeeeeeeellllllllllllllllllllllppppppppppppp

Answers

Answer:

40°

Step-by-step explanation:

As sum of angles of the triangle is 180°

therefore the third angle will be 180 -( 75 + 65)=40°

x=40°= vertically opposite angle

Answer:

x = 40°

Step-by-step explanation:

a + 65 + 75 = 180  {Angle sum property}

a + 140 = 180

     a = 180 - 140

    a = 40

x = a  {Vertically opposite angles}

x = 40°

prime factor of 8 and prime factor of 12​

Answers

Answer:

2

Step-by-step explanation:

a prime factor is a factor that is a prime number

a prime number is a number that will have a fraction in the quotient if it's divided by any number other than itself

2 is the only prime factor shared between 8 and 12

A retailer allows 15% discount on the Marked price of an electric fan. If a customer pays Rs 2244 with 10% VAT,find the Marked Price of the fan​

Answers

Answer:

2400

Step-by-step explanation:

2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.

so, let's calculate backwards :

2244 = 100% sale price + 10% VAT = 110%

1% = 2244 / 110 = 20.40

100% (actual sale price) = 20.40×100 = 2040

now, because of the 15% discount, these 2040 are only 85% of the originally marked price.

2040 = 85%

1% = 2040 / 85 = 24.00

100% (the original marked price) = 24×100 = 2400

What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form. HELP PLEASE​

Answers

Answer:

11.7…?

Step-by-step explanation:

Small triangle and other triangle are similar based on sas theorem (I think) so find scale factor — 2— then do Pythagorean theorem

Please help, I also need an explanation.

Answers

The answer is B. 2x+5

Suppose you had been in charge of designing the study. What sample size would be needed to construct a margin of error of 2% with 95% confidence

Answers

Answer:

A sample size of 2401 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What sample size would be needed to construct a margin of error of 2% with 95% confidence?

This is M for which n = 0.02.

Supposing we have no estimate for the true proportion, we use [tex]\pi = 0.5[/tex].

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2[/tex]

[tex]n = 2401[/tex]

A sample size of 2401 is needed.

Your vacation cabin on the lake has three rooms. The bathroom is 12' X 6', the bedroom is 14' X 18' and the great room is 20' X 30'. The ceiling height is 10'. What is the total volume of your cabin? Group of answer choices 9420 Cubic Feet 9240 Cubic Feet 9240 Square Feet 9420 Square Feet

Answers

Answer: [tex]9240\ ft^3[/tex]

Step-by-step explanation:

Given

Dimension of the bathroom is [tex]12'\times 16'[/tex]

Dimension of the bedroom is [tex]14'\times 18[/tex]

Dimension of the great room is [tex]20'\times 30'[/tex]

Height of the ceiling is [tex]h=10'[/tex]

Total area of the cabin

[tex]\Rightarrow A=12\times6+14\times 18+20\times 30\\\Rightarrow A=72+252+600\\\Rightarrow A=924\ ft^2[/tex]

Volume of the cabin is [tex]V=A\times h[/tex]

[tex]\Rightarrow V=924\times 10\\\Rightarrow V=9240\ ft^3[/tex]

hi i need help with this

Evaluate 4(3-1)^2

Answers

Hey there!

4(3 - 1)^2

3 - 1 = 2

= 4(2^2)

2^2

= 2 * 2

= 4

4(4)

= 16

Answer: 16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

4(3-1)^2= 16

Step-by-step explanation:

4(3-1)^2

=4×(2)^2

=4×4

=16 ........

HOPE THIS HELPS YOU....

3x-4y=-24
Identify the x- and y-intercept of the graph of each question

Answers

Answer:

x = -8 and y = 6

Step-by-step explanation:

3x - 4y = -24

Solve for y - intercept

3x - 4y = -24

To find y intercept , substitute x = 0

3 × 0 - 4y = -24

Any expression multiplied by 0 equals 0.

0 - 4y = -24

-4y = -24

Divide both sides by -4

-4y / -4 = -24/-4

y = 6

Similarly, Solve for x-intercept

3x - 4y = -24

To find x- intercept , susbtitute y = 0

3x - 4 × 0 = -24

Any expression multiplied by 0 equals 0.

3x - 0 = -24

3x = -24

Divide both sides by 3

3x / 3 = -24 / 3

x = -8

Therefore, y = 6 and x = -8

Christina cycles 2 kilometers during each trip to work. Write an equation that shows the relationship between the number of trips to work x and the total distance cycled y.

Answers

Answer:

y=2x

Step-by-step explanation:

PLEASE HELP ASAP!!!!


Use the graph of ƒ to find x if ƒ(x) = 2.



x = –0.5


x = –8


(–∞, –0.5)


x = 0.5

Answers

Answer:

[tex]{ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}[/tex]

4x2 -28x-32 fully factored

Answers

GCF=4

4(4x^2/4+-28x/4+-32f/4)

=4(x^2-7x-8f)

Hello,

[tex]4x^2-28x-32\\\\=4(x^2-7x-8)\\\\=4(x^2-8x+x-8)\\\\=4[x(x-8)+1(x-8)]\\\\=4(x-8)(x+1)\\[/tex]

HELP HELP HELPPPP PLEASEEE
Directions: Determine if segments AB and CD are parallel, perpendicular, or neither.
AB formed by (-2, 13) and (0, 3)
CD formed by (-5, 0) and (10, 3)

Answers

Given:

AB formed by (-2,13) and (0,3).

CD formed by (-5,0) and (10,3).

To find:

Whether the segments AB and CD are parallel, perpendicular, or neither.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

AB formed by (-2,13) and (0,3). So, the slope of AB is:

[tex]m_1=\dfrac{3-13}{0-(-2)}[/tex]

[tex]m_1=\dfrac{-10}{2}[/tex]

[tex]m_1=-5[/tex]

CD formed by (-5,0) and (10,3). So, slope of CD is:

[tex]m_2=\dfrac{3-0}{10-(-5)}[/tex]

[tex]m_2=\dfrac{3}{10+5}[/tex]

[tex]m_2=\dfrac{3}{15}[/tex]

[tex]m_2=\dfrac{1}{5}[/tex]

Since [tex]m_1\neq m_2[/tex], therefore the segments AB and CD are not parallel.

[tex]m_1\times m_2=-5\times \dfrac{1}{5}[/tex]

[tex]m_1\times m_2=-1[/tex]

Since [tex]m_1\times m_2=-1[/tex], therefore the segments AB and CD are perpendicular because product of slopes of two perpendicular lines is always -1.

Hence, the segments AB and CD are perpendicular.

Answer:

AB is perpendicular to CD.

Step-by-step explanation:

AB formed by (-2, 13) and (0, 3)

CD formed by (-5, 0) and (10, 3)

Slope of a line passing through two points is

[tex]m= \frac{y''-y'}{x''- x'}[/tex]

The slope of line AB is

[tex]m= \frac{3- 13}{0+2} = -5[/tex]

The slope of line CD is

[tex]m'= \frac{3 -0 }{10+5} = \frac{1}{5}[/tex]

As the product of m and m' is -1 so the lines AB and CD are perpendicular to each other.

if f(x)=2x/x-5 find f^-1(x)

Answers

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{2x}{x-5}[/tex] ( multiply both sides by x - 5 )

y(x - 5) = 2x ← distribute left side

xy - 5y = 2x ( subtract 2x from both sides )

xy - 2x - 5y = 0 ( add 5y to both sides )

xy - 2x = 5y ← factor out x from each term on the left side )

x(y - 2) - 5y ← divide both sides by y - 2

x = [tex]\frac{5y}{y-2}[/tex]

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]

Answer:

Look into the image. I hope it helps❤

#CarryOnLearning

Find the Value of x.

Answers

Answer:

x = 91

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

x + 89 = 180

x = 91

I really need some help with this question also.

A) 2/5

B) 3/5

C) 11/25

D) 14/25

Answers

the answer to this problem is B 3/5

Find the volume of this cylinder. Use 3 for .
V = 7r2h
14 cm
2
V = T[?]?
28 cm
Hint: Plug in the value of the
radius for r. The radius is shown
directly in the diagram.

Answers

Step-by-step explanation:

V = πr²h

V = 3 × 14² × 28

v = 16464cm³

What are the coordinates of R?

Answers

Answer: y,0

Step-by-step explanation:

Help me with this problem

Answers

Answer:

Angle A is F Angle A = 57. 52+71=123. 180-123=57

Using appropriate properties find 2/3 x (– 3/5) + 1/5 x 4/3 + 2/3 x ( – 3/2)=

Answers

Answer:

- [tex]\frac{17}{15}[/tex]      -1 [tex]\frac{2}{15}[/tex] , 1.13

Step-by-step explanation:

Find the surface area or volume of each rectangular prism. (Show work pls)

Answers

Answer:

496 in.²

346 mm²

880 in.²

168 cm³

960 m³

420 yd³

Step-by-step explanation:

SA = 2(wl + hl + hw)

SA = 2 · (8 · 16 + 5 · 16 + 5 · 8)

SA = 496

SA = 2(wl + hl + hw)

SA = 2 · (5 · 13 + 6 · 13 + 6 · 5)

SA = 346

SA = 2(wl + hl + hw)

SA = 2 · (4 · 20 + 15 · 20 + 15 · 4)

SA = 880

V = whl

V = 4 · 7 · 6

V = 168

V = whl

V = 10 · 8 · 12

V = 960

V = whl

V = 14 · 3 · 10

V = 420

Help me to do this question plz plz plz ​

Answers

Answer:

area of parallelogram=base *height

Answer:

area =36cm²

Step-by-step explanation:

area of parallelogram= b×h

9×436cm²

hope it helps stay safe healthy and happy..

A(3,4) and B(-3,2) are pointd on a coordinate plane. find the coordinate of a points C on the x axis such that AC=BC​

Answers

Answer:

Step-by-step explanation:

Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:

and

Now for the slope of AB:

and

 So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):

and filling in:

y - 3 = -3(x - 0) and

y - 3 = -3x + 0 and

y - 3 = -3x so

y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):

0 = -3x + 3 and

-3 = -3x so

x = 1

The coordinate on the x-axis such that AC = BC is (1, 0)

A bus leaves Riverside for Springfield and averages only 48 mph. Ten minutes later Smith leaves Riverside for Springfield traveling 64 mph in his car. How long before he overtakes the bus?

Answers

Answer:

pls give brainliest even if u dont want to. it will make u better person. when u give brainliest it makes u 3 times smarter

Step-by-step explanation:

Smith overtakes the bus at (2/3)×60=40 minutes

What is speed?

A body is said to have speed v if he travels v distance in unit time.

How to solve it?

Suppose that Smith overtakes the bus at a time 't'. Then the distance traveled by bus is 48×t m and that by Smith is 64×(t-1/6).

Smith needs t-1/6 hours to reach the same position that the bus is in.

Since Smith leaves ten minutes later hence it takes t-1/6 hours for him to overtake the bus.

Because 10 minutes is equal to 10/60=1/6 hour.

So,

48×t=64×(t-1/6)

⇒t=2/3

Hence, Smith overtakes the bus at (2/3)×60=40 minutes

Learn more about speed and distance here-

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What is the form of government in which the central government gets it's power granted to it from the smaller political units in the country people who get population education are also aware of health issue and environment degradation see Christina believes firmly that if she wants good things to come her way, she must work for them to the extent that she can. For this reason, she is volunteering her time at the local food bank. In addition, she is studying extra hard in school in an effort to be admitted into the prestigious social work program she is interested in attending. Christina is demonstrating _____ Group of answer choices Hadley Corporation, which has only one product, has provided the following data concerning its most recent month of operations: Selling price $ 185 Units in beginning inventory 100 Units produced 1,970 Units sold 1,380 Units in ending inventory 690 Variable costs per unit: Direct materials $ 75 Direct labor $ 32 Variable manufacturing overhead $ 12 Variable selling and administrative expense $ 11 Fixed costs: Fixed manufacturing overhead $ 19,700 Fixed selling and administrative expense $ 30,360 What is the total period cost for the month under variable costing? 2. What is the difference between physical and cultural environment ? People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below. Pink lemonade: 156 males, 72 females Yellow lemonade: 104 males, 48 females The events "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6. P(female | pink lemonade ) = P(pink lemonade) = 0.3. P(pink lemonade | female) = 0.3 and P(pink lemonade) = 0.6. P(female | pink lemonade ) = 0.3 and P(pink lemonade) = 0.6. the force of attraction between non polar molecules are what (a)electrovalent bond (b)covalent bond (c)Hydrogen bond (d)Van der waals forces A 90 % confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. the interval was ($133, 306, $150, 733). To make useful inferences from the data, it is desired to reduce the width of the confidence interval. Which of the following will result in a reduced interval width? A) Increase the sample size and increase the confidence level. B) Decrease the sample size and increase the confidence level. C) Decrease the sample size and decrease the confidence level. D) Increase the sample size and decrease the confidence level. HELP ASAP! I dont know how to solve this problem nor where to start. Can someone please help me out here? A charge of 0.20uC is 30cm from a point charge of 3.0uC in vacuum. what work is required to bring the 0.2uC charge 18cm closer to the 3.0uC charge? Mi familia prefiere________ de viaje a Cuba. (2 points)ircomerorganizarpoder A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters. Which of the following is the best definition of anaerobic respiration? Determine the area of the triangle.96.0 square units16.9 square units192.0 square units97.5 square units help sdfghrthfbfdve aahhhhhhhh what percent of 98 million is 7740 True or false: You have to pay to attend college? Country B has a GDP of $1 trillion and a GDP per capita of $27,000. Its economy is a mix of manufacturing, high tech, services, aviation, agriculture, and mining. It has laws favorable to entrepreneurship and private sector growth. It has multinational corporations that have recently begun outsourcing jobs overseas, resulting in a rise in unemployment. Look for factors that will help you determine what type of economy exists in Country B. Which type of economy does Country B have? Read this statement:Four out of five doctors agree that honey and cinnamontablets are effective against the common cold.Which type of audience appeal does the statement show?A. RationalB. EthosC. PathosD. Logical Read the following claim.Claim: Classes on parenting should be offered in publicschools, and so should classes on Chinese.What makes this a weak claim for an argumentative research paper?A. The author doesn't state a position.B. The sentence has too many ideas.C. The statement is too short.D. The topic has a limited audience.