Solve for x : 2|x-1|+5<13

Answers

Answer 1

Hi there!

2|x - 1| + 5 < 13

Begin by subtracting 5 from both sides:

2|x - 1| < 8

Divide both sides by 2:

|x - 1| < 4

Find both the positive and negative solutions:

x - 1 < 4

x < 5

-(x - 1) < 4

-x + 1 < 4

-x < 3

x > -3

Answer 2

[tex]Hello[/tex] [tex]There![/tex]

Let's solve your inequality step-by-step.

[tex]2(|x-1|)+5<13[/tex]

Step 1:

You must add -5 both sides.

[tex]2(|x-1|)+5+-5<13+-5[/tex]

[tex]2(|x-1|)<8[/tex]

Step 2:

You must divide both sides by 2.

[tex]\frac{2(|x-1|)}{2}[/tex] [tex] \leq \frac{8}{2}[/tex]

[tex]|x-1|<4[/tex]

Step 3:

Solve the Absolute Value.

[tex]|x-1|<4[/tex]

We know that x−1<4 and x−1>−4.

[tex]x-1<4[/tex] Condition 1.

[tex]x-1+1<4+1[/tex] (Add 1 to both sides)

[tex]x<5[/tex]

[tex]x-1>-4[/tex] (Condition 2)

[tex]x-1+1>-4+1[/tex] (Add 1 to both sides)

[tex]x>-3[/tex]

[tex]ANSWER![/tex]

[tex]x<5[/tex] [tex]and[/tex] [tex]x>-3[/tex]

Hopefully, this helps you!!

[tex]AnimeVines[/tex]


Related Questions


Charlene is a salesperson. Let y represent her total pay (in dollars). Let x represent the number of
items she sells. Suppose that x and y are related by the equation y=32x + 1900.
What is Charlene's total pay if she doesn't sell any items?
A. $32
B. $1,900
C. $3,200
D. $19

Answers

1,900
Multiply 32 by 0, and you get y=1,900

What is the product of three and the opposite is 4?

Answers

Product is multiplication.

The opposite of 4 is -4

3 x -4 = -12

Answer: -12

7.

Explain why the equation 6|x| + 25 = 15 has no solution.


When one solves, they arrive at a step where |x| is equal to a fraction that may not be represented as an integer. Since | x| must be an integer, there is no solution.


When one solves, they arrive at a step where x is equal to a negative number. Since x can never be negative inside of the absolute value bars, there is no solution.


When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution.


The statement is false. There is a solution.

Answers

Answer:

When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution.

Step-by-step explanation:

6|x| + 25 = 15

Subtract 25 from each side

6|x| + 25-25 = 15-25

6|x|  = -10

Divide by 6

6|x| /6 = -10/6

|x|  = -5/3

There is no solution because the absolute value must be greater than or equal to zero.  This equation has it negative.

Can some one help please

Answers

Answer:    [tex]\fbox{C} \: \: \: \dfrac{4 \times 10^{4} }{3 \times 10^{4} }[/tex]

Step-by-step explanation:

36,070 = 3.607 · 10⁴ ≈ 4 · 10⁴

29,029 = 2.9029 · 10⁴ ≈ 3 · 10⁴

Let's how manytimes greater the distance to the bottom of Challenger Deep is than the distance to the top of Mount Everest:

[tex]\dfrac{4 \times 10^{4} }{3 \times 10^{4} }[/tex]

Answer:

C

Step-by-step explanation:

First, the question is asking how many times greater the distance to the Challenger Deep is compared to Mount Everest. This means that the Challenger Deep will be on top, with the distance to Mount Everest on the bottom.

Next, we can see that in our answers, we are only given one significant digit. This means that we have to round our original numbers to the nearest significant digit and work from there. For Challenger Deep, 36,070 must be rounded to the nearest ten thousandth as it is in the ten thousands. Therefore, it must be rounded to 40,000 or 30,000. As 36,070 is closer to 40,000 than 30,000 (we can tell this because the second number, 6, is greater than 5, so we round up), we can represent this as 40,000. For Mount Everest, we can round 29,029 to either 20,000 or 30,000. 30,000 is the appropriate choice here because 9, the second number, is greater than 5.

Therefore, our ratio is now 40,000 / 30,000 . Our answers are written in scientific notation, so we must convert our numbers to those values.

Let's start with 40,000 . Our one significant digit is 4, so we can write this as 4 * something. For each number in 10 to the power of x (x is a placeholder value), we add x amount of zeros. For example, for 4 * 10², we add 2 zeros, making it 400. There are 4 zeros here, so to write this in scientific notation, we have 4 * 10^4

Similarly, for 30,000 , we can write this as 3 * 10^4 as there are 4 zeros.

Our ratio is thus 40,000 = 4*10^4 , which is the Challenger Deep value rounded, over 30,000 = 3 * 10^4, which is the Mount Everest value rounded. We can write this as [tex]\frac{4*10^{4}}{3*10^{4}}[/tex], or C

help! please!!!!!! look at photo :))

Answers

Hey there!

We know that Danielle earns $10 per hour, so muliply that by 3 and get 30.

Because Danielle works an extra half an hour, divide 10 by 2 and get 5.

Danielle earns $35 in 3 hours and a half.

Hope this helps! Please mark me as brainliest!

Have a wonderful day :)

Write the sum using the summation notation assuming the suggested pattern continues 2, -10, 50, -250, +…
Is this sequence arithmetic or geometric? How do you know?

Answers

Answer:

geometric

x=number of terms

∑ 2(-5)^(k-1)

k=1

Step-by-step explanation:

the sequence has a ratio of -5 (2*-5=-10, -10*-5=50)

x=number of terms

∑ 2(-5)^(k-1)

k=1

for this i don't know what the last term is since it doesn't show in the question but just find 2(-5)^x and x will be the top term

For the triangle shown, what are the values of x and y?
60°
30°
6
Select the correct answer.
O x = 2V3, y = 473
O x= 3V3, y = 6/3
O x = 6/3, y = 12
O x = 6V3, y = 1273

Answers

Answer:

x = 6/√3 = 2√3

y = 2×2√3 = 4√3

So, 1st option is correct

What is the radius of a hemisphere with a volume of 885 in^3, to the nearest tenth of
an inch?

Answers

Answer:

The desired radius is r = 7.5 inches

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)πr³.  A hemisphere is half a full sphere, so the formula for the volume of a hemisphere of radius r is (4/3)(1/2)πr³, or (2/3)πr³.

We know that the volume of the hemisphere is 885 in³:

885 in³ = (2/3)πr³ and need to solve this first for r³ and then for r.

This is equivalent to:

885 in³ = (2π/3)r³.

We can now isolate r³ by multiplying both sides of this equation by (3 / [2π]):

(3 / [2π])(885 in³) = (3 / [2π])(2π/3)r³ = r³

Then r³ = 422.556 in³

Finally, we find the desired hemisphere radius by taking the cube root of both sides of the above equation:

r = ∛(422.556 in³) = 7.5 in (which is to the nearest tenth of an inch)

The desired radius is r = 7.5 inches

In the rhombus, m angle 1 equals 106. What are m angles 2 and 3?

Answers

Answer:

A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.

h=-16t^2+16t+320

f(x) = Square root of quantity x plus seven. ; g(x) = 8x - 11 Find f(g(x)). (1 point)
f(g(x)) = 2 Square root of quantity two x plus one
f(g(x)) = 8 Square root of quantity x plus seven - 11
f(g(x)) = 8 Square root of quantity x plus four
f(g(x)) = 2 Square root of quantity two x minus one

Answers

Answer:

2 sqrt(2x-1)

Step-by-step explanation:

f(x) = sqrt(x+7)

g(x) = 8x-11

f(g(x))=

Place g(x) in for x in the function f(x)

f(g(x)) = sqrt( 8x-11 +7)

          = sqrt( 8x -4)

Factor out 4

          = sqrt( 4(2x-1)

          = 2 sqrt(2x-1)

[tex]\\ \sf\longmapsto f(x)=\sqrt{x+7}[/tex]

[tex]\\ \sf\longmapsto g(x)=8x-11[/tex]

g(x) will be put on the place of x

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}[/tex]

what is the intrest of rs2160 at the rate of 20% for 4years?in how many years will rs1800earn the same intrest at the rate of 12%​

Answers

Answer:

considering it was simple interest,

We have the formula:

I = PRT ÷ 100

where,

I = InterestP = principalT = time (in years)R = rate

for the first part of the question,

P = Rs. 2160R = 20T = 4

Thus, I = (2160 × 20 × 4)÷ 100

I = Rs. 1728

Now, for the second part,

P = Rs. 1800I = 1728R = 12

T = 100×I÷PR

T = 100 × 1728÷(1800 × 12)

T = 8 Years

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.

Answers

Answer:

8/12 or 2/3

Where the first number is on the top and vice versa.

Step-by-step explanation:

What does x equal? Dpsewbskdye

Answers

Answer:

x = 7

Step-by-step explanation:

27 = 7x + 6 - 4x      (Given)

27 = 3x + 6             (Simplify)

27 - 6 = 3x + 6 - 6  (Subtract 6 on both sides)

21 = 3x                    (Simplify)

21/3 = 3x/3             (Divide 3 on both sides)

7 = x                        (Simplify)

I am really confused on the graph anyone mind helping me

Answers

I don’t mind, but I am having difficulty reading the graph. Perhaps reposting it with a better picture
God bless

Evaluate Equation

Please Help Me!!

Answers

Answer:

C

Step-by-step explanation:

7+(-4x^2) where x=0, 7+0=7

Answer:

C. 7

Step-by-step explanation:

[tex]7+(-4x^2)[/tex]

Replace x with 0

[tex]7+(-4(0)^2)[/tex]

0 squared is 0. -4 times 0 is also 0.

7+0=7

I hope this helps!

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE QUESTION!!

Answers

Answer:

(base x height x length)/2 = volume

6x8x8 = 384/2 = 192in^3

hope that answers your question

Please help explanation if possible

Answers

Answer:

y = | x-5|

Step-by-step explanation:

y = |x-h| +k  where (h,k) is the center of the "v"

The "v" is located at (5,) so h=5 and k = 0

y = | x-5| +0

Reflect Triangle ABC in BC. What kind of figure will result? How would your answer change if ABC is isosceles? a right triangle with right angle at A? a right isosceles trianglewith right angle at A?

Answers

9514 1404 393

Answer:

a kitea kite or rhombus, dependinga kitea square

Step-by-step explanation:

The reflections are illustrated in the attached.

  A1, A1' are opposite vertices of the reflected original triangle. They are part of a kite figure.

  A2, A2' are opposite vertices of a reflected isosceles triangle, where BA=BC. Figure A2BA2'C is a kite.

  A2a, A2a' are opposite vertices of a reflected isosceles triangle with AB=AC. Figure A2aBA2a'C is a rhombus.

  A3, A3' are opposite vertices of a right triangle with the right angle at A3. Figure A3BA3'C is a kite figure.

  A4, A4' are opposite vertices of a reflected right isosceles triangle with AB=AC and the right angle at A4. Figure A4BA4'C is a square.

I'LL GIVE BRAINLIEST !!! FASTERR !​

Answers

Answer:

Option A, 86°

Step-by-step explanation:

each diagonals of a rhombus divides the angles at half, so a+b+c+d = 360°/2 = 180°

now, a+b+c+d-94° = 180°-94° = 86°

Answer:

D 266°

Step-by-step explanation:

a+b+c+d-94°

90°+ 90°+ 90°+ 90° -94°

360°-94°

266°

Solve for the measure of angle QSR, given b=136.

Answers

The calculated measure of the angle QSR is 68 degrees

How to solve for the measure of angle QSR

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

Angle b = 136 degrees

The measure of angle QSR can be calculated using

QSR = 1/2 * Angle b

substitute the known values in the above equation, so, we have the following representation

QSR = 1/2 * 136 degrees

Evaluate

QSR = 68 degrees

Hence, the measure of angle QSR is 68 degrees

Read more about angles at

https://brainly.com/question/31898235

#SPJ1

Does anyone know how to do this? IM2 Honors

Answers



You just have to use supplementary amd corresponding angles
x = 58
y = 122
z = 58

what is the HCF of 7 and 13​

Answers

Answer:

The HCF of 7 and 13 is 1

Step-by-step explanation:

Prime numbers only have one factor which is 1 and itself
•••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
thanks!

.simplify
(2a+5)²-(a+3)(a-3)​

Answers

Answer:

3a^2 + 20a + 34

Step-by-step explanation:

(2a + 5)^2 = 4a^2 + 20a + 25

(a +3)(a - 3) = a^2 - 9

Put these two partial answers together.

4a^2 + 20a + 25 -(a^2 -9 )                 Remove the brackets.

4a^2 + 20a + 25 -  a^2 + 9

4a^2 + 20a + 25 - a^2 + 9

3a^2 + 20a + 34

Answer: 3a² + 20a + 34

Concept:

When doing simplifying expressions, following the PEMDAS method would be easier.

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

When expanding parentheses, following the FOIL method would be easier.

FirstOuterInner Last

Solve:

Given expression

(2a + 5)² - (a + 3) (a - 3)

Simplify exponenets

= (2a + 5) (2a + 5) - (a + 3) (a - 3)

Expand parentheses

= 4a² + 10a + 10a + 25 - (a² - 3a + 3a - 9)

= 4a² + 10a + 10a + 25 - a² + 3a - 3a + 9

Combine like terms

= 4a² - a² + 10a + 10a + 3a - 3a + 25 + 9

= 3a² + 20a + 34

Hope this helps!! :)

Please let me know if you have any questions

find the derivative of y=x²+3x​

Answers

Answer:

[tex]\frac{dy}{dx}[/tex] = 2x + 3

Step-by-step explanation:

Differentiate each term using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

y = x² + 3x

[tex]\frac{dy}{dx}[/tex] = 2[tex]x^{(2-1)}[/tex] + 3[tex]x^{(1-1)}[/tex]

   =  2x + 3[tex]x^{0}[/tex]

   = 2x + 3

Which functions have a maximum value greater than the maximum of the function g(x) = -(x + 3)2 - 4?

Answers

Answer:

max: -4

Step-by-step explanation:

(x+3)^2 》0 mọi x

<=> -(x+3)^2 《0

<=> -(x+3)^2 -4 《 -4

Simplify
1/4(1 - 2/3)* + 1/3
Enter your answer in the box as a fraction in simplest form


Answers

Answer:

5/12

frsjnjjuvvffklomjyyrx

help me please brainliest for the best answer!!​

Answers

Answer:

The volume of the irregular figure would be 102 [tex]cm^3[/tex].

Step-by-step explanation:

If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex], represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be [tex]6*3*5=30*3=90 cm^3[/tex], and the volume of the smaller rectangular prism would be [tex]3*2*2=6*2=12 cm^3[/tex]. So the volume of the entire irregular figure would be [tex]90+12=102 cm^3[/tex].

Answer:

102

Step-by-step explanation:

Large rectangle:

6 × 3 × 5 = 18 × 5 = 90

Small rectangle:

7 - 5 = 2

3 × 2 × 2 = 6 × 2 = 12

90 + 12 = 102

Hope this helped.

In Exercises 1-4, determine whether the dilated figure or the original figure is closer to the center of dilation. Use the given location of the center of dilation and scale factor k.
1. Center of dilation inside the figure; k = 3
Center of ditation inside the figure, k = 1/2
3. Center of dilation outside the figure: = 120%
4. Center of dilation outside the figure; k = 0.1

Answers

When the Center of dilation is inside the figure

The original figure is closer to the center of dilationThe dilated figure is closer to the the center of dilation

When the Center of dilation is outside the figure

    3. The original figure is closer to the the center of dilation

    4. The dilated figure is closer to the center of dilation

The center of dilation is the fixed point from which the distances in a dilation are measured

The scale factor is ratio of the side lengths of an original figure or preimage to  the side lengths of the newly formed image

Center of dilation is inside the figure

Where the center of dilation is inside the figure, and the scale factor is larger than 1, k = 3 > 1,  we have;

The distance of a point on the dilated figure, including the distances from the center of dilation is 3 times the distances of points on the original image from the center of dilation

Therefore, the original figure has a shorter distance to and is therefore closer to the the center of dilation than the dilated figure

     2. Where the center of dilation is inside the figure, and the scale factor is a fraction between 0 and 1 k = 1/2, we have;

The distance of a point on the dilated figure, including the distances from the center of dilation is 1/2 times the distances of points on the original image from the center of dilation

Therefore, the dilated figure has a shorter distance to and is therefore closer to the the center of dilation than the original figure

Center of dilation outside the figure

     3. Given that the center of dilation is outside the figure and the scale factor is larger than 1, k = 120% = 120/100 = 1.2 > 1, we have;

The distance of the dilated figure from the center of dilation is 120% of the distance of the original figure from the center of dilation, therefore, the original figure is closer to the the center of dilation than the dilated figure

     4. Where the center of dilation is outside the figure and the scale factor is a fraction between 0 and 1, k = 0.1 < 1

The distance of the dilated figure from the center of dilation is only 0.1 times the distance of the original figure from the center of dilation, and therefore, the dilated figure is closer to the center of dilation

Learn more about scale factors and center of dilation here;

https://brainly.com/question/12162455

gabys piggy bank contains nickles and dimes worth $5.15. If she has 66 coins in all, how many of each does she have

Answers

8.18

Step-by-step explanation:

8.18

pow pom wyh oqhw uwhwn 8.18 ge wk

Answer:

37 Dimes, 29 Nickels

Step-by-step explanation:

x= dimes

66-x = nickels

.1 (x) = dimes

.05 (66-x) = nickels

Solve

3.3 + 0.5x = 5.15

Solve again then you come out with

x= 37

66 - 37 = 29

Find the square roots of these numbers by division method.
a-6090​

Answers

The square root of 6090 is 78.0384520605 hope this helps
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