Solve for all values of x in simplest form 1+3|x-5|=10

Answers

Answer 1

Answer:

x = 8                          x = 2

Step-by-step explanation:

1+3|x-5|=10

Subtract 1 from each side

1-1+3|x-5|=10-1

3|x-5|=9

Divide by 3

3/3|x-5|=9/3

|x-5|=3

There is a positive and negative solutions

x-5 =3            x-5 = -3

Add 5 to each side

x-5+5 = 3+5           x-5+5 = -3+5

x = 8                          x = 2

Answer 2

Answer:

[tex]x=2,8[/tex]

Step-by-step explanation:

So we have the equation:

[tex]1+3|x-5|=10[/tex]

First, subtract 1 from both sides:

[tex]3|x-5|=9[/tex]

Now, divide 3 from both sides:

[tex]|x-5|=3[/tex]

Definition of absolute value:

[tex]x-5=3\text{ or }x-5=-3[/tex]

For the left, add 5 to both sides.

For the right, add 5 to both sides:

[tex]x=3+5\text{ or } x=-3+5\\x=8\text{ or }x=2[/tex]

Thus, the answers are:

[tex]x=2,8[/tex]


Related Questions

write each expression using exponents 4 x p x 4 x p

Answers

Answer:

[tex]4 * p * 4 * p = 4^2p^2[/tex]

Step-by-step explanation:

Given

[tex]4 * p * 4 * p[/tex]

Required

Write as exponents

[tex]4 * p * 4 * p[/tex]

Rearrange to collect Like Terms

[tex]4 * 4 *p * p[/tex]

Group both items

[tex](4 * 4) *(p * p)[/tex]

Apply law of indices

[tex](4^{1+1})(p^{1+1})[/tex]

[tex](4^2)(p^2)[/tex]

Remove bracket

[tex]4^2p^2[/tex]

Hence:

[tex]4 * p * 4 * p = 4^2p^2[/tex]

Which of the following is not true? Bonus number 7

Answers

Answer:

the first one i think

Step-by-step explanation:

i can't see the pic clearly make it better, and i will solve for u

Solve. -1/2+(3/4x4/9)=

Answers

Answer:

-1/6

Step-by-step explanation:

- 1/2 + 3/4 x 4/9 = -1/2 + 3(4) / 4(9) = -1/2 + 12 / 36 = -1/ 2 + 1 / 3 = -3/6 + 2/6 = -1/6

The solution for the given expression [tex]-\frac{1}{2} +(\frac{3}{4} \times \frac{4}{9} )[/tex] after simplifying the expression is [tex]-\frac{1}{6}[/tex].

Given an expression:

[tex]-\frac{1}{2} +(\frac{3}{4} \times \frac{4}{9} )[/tex]

It is required to find the value of the expression after simplifying the expression.

Since there is more than one operation used in this expression, the rule of BODMAS has to be used.

The expression in brackets has to be solved first, which is [tex]\frac{3}{4} \times \frac{4}{9}[/tex].

Here, the numerator of the first fraction and the denominator of the second fraction is 4. So, it can be canceled.

So, this can be simplified as:

[tex]\frac{3}{4} \times \frac{4}{9} =\frac{3}{9}[/tex]

         [tex]=\frac{1}{3}[/tex]

The whole expression thus is [tex]-\frac{1}{2} +\frac{1}{3}[/tex].

Make the denominators equal.

[tex]-\frac{1}{2} +\frac{1}{3} =-\frac{3}{6} +\frac{2}{6}[/tex]

            [tex]=-\frac{1}{6}[/tex]

Hence, the value is [tex]-\frac{1}{6}[/tex].

Learn more about Fractions here :

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Alexia ran three laps around her neighborhood. Each lap is 1 and StartFraction 3 over 8 EndFraction miles. Which is the best estimate of the number of miles that Alexia ran?

Answers

Answer:

4 and 1/8

Step-by-step explanation:

1 and 3/8 is equivalent to 11/8 which is one lap. If she ran 3 laps, you would multiply 11/8 by 3 which would get you 33/8- which is equivalent to 4 and 1/8.

Answer:

The answer is not -1/2

Step-by-step explanation:

I got the answer from the person above and the answer is not -1/2 so do not believe them.

Solve 4(2x − 1) − 3 = 9(x − 4)

Answers

Answer:

x = 29

Step by step explantion:

Answer:

x = 29

Step-by-step explanation:

Distribute/ Multiply:

8x - 4 - 3 = 9x - 36

Rearrange the equation:

8x - 9x = -36 + 4 + 3

Combine like terms:

-1x = -29

Divide:

x = 29

Help me please I don't understand the question

Answers

Answer:

y = - 2x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1,1) ← 2 points on the line

m = [tex]\frac{1-3}{1-0}[/tex] = - 2

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = - 2x + 3 ← equation of line

Olivia counted the number of ladybugs on each plant in her garden, then made the graph below.

If ten ladybug fly from the lettuce to the alfalfa, which 2 kinds of plants will have the same number of ladybugs?
Choose 2 answers:
A) Roses
B) Lettuce
C) Alfalfa
D) Grape vines

Answers

Answer:

A) Roses , C) Alfalfa

Step-by-step explanation:

Each ladybug symbol = 5 ladybugs

Roses: 35 ladybugs

Lettuce: 15 ladybugs

Alfalfa: 25 ladybugs

Grape vines: 10 ladybugs

10 ladybugs go from lettuce to alfalfa. You end up with:

Roses: 35 ladybugs

Lettuce: 5 ladybugs

Alfalfa: 35 ladybugs

Grape vines: 10 ladybugs

Roses and alfalfa end up with 35 ladybugs each.

Answer: A) Roses , C) Alfalfa

What is the slope of the equation y – 3 = –4(x – 5)?e of the equation y – 3 = –4(x – 5)?

Answers

Answer:

The slope of the equation y-3=-4(x-5) is -4.

Step-by-step explanation:

This equation is written in point-slope form: y-y₁=m(x-x₁), where "m" is the slope or the equations.  In the equation y-3=-4(x-5), the -4 stands in the "m", or slope, spot, so the sope of this equation is -4.

Slope of the equation is equals to -4.

What is slope?

" Slope is defined as the ratio of the change in y-coordinates to the x-coordinates. It is also known as inclined plane."

General equation of line

y = m x + c                              ____(1)

'm' = slope of the line

'c' = y - intercept

According to the question,

Given equation,

[tex]y-3 = -4(x-5)[/tex]

Open the brackets of the equation we get,

[tex]y-3 = -4x+20[/tex]

Add 3 both the sides of the equation we get,

[tex]y = -4x+23[/tex]                      ______(2)

Compare equation (1) and (2)  to get the slope we have,

Slope 'm' = -4

y-intercept = 23

Hence, slope of the equation is equals to -4.

Learn more about slope here

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What is 196 classified as

Answers

Answer:

it is so unclear to say . If any more information is given, then only it can be answered. I don't think 196 is so special to be classified.

Evaluate 6+x6+x6, plus, x when x=3?

Answers

Answer:

42

Step-by-step explanation:

x=3

6+x6+x6

6+(3)6+(3)6

6=6

(3)6=18

(3)6=18

6+18+18

24+18

42

Hope this helps ;) ❤❤❤

Answer:

1467

Step-by-step explanation:

[tex]6+x^6+x^6+x\\\\6+(3)^6+(3)^6+3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+\left(3\right)^6+3\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+729+3\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:6+729+729+3\::\quad 1467[/tex]

If you could help solve this and show your work I would really appreciate it

Answers

Answer:

D

Step-by-step explanation:

The difference between 63y and 35y is 28y. 28/2=14, 28/4=7, 28/7=4, 28/9=not whole number so I'm not doing the math, and to make sure we are right, 28/14=2

Answer:

9

Step-by-step explanation:

[tex]63y-35y\\=28y[/tex]

[tex]\frac{28y}{2} = 14y\\\\\frac{28y}{4} = 7y\\\\\frac{28y}{7} =4y\\\\\frac{28y}{14} = 2y\\\\\frac{28y}{9} =3.1111y[/tex]

Solve -17 + n over 3 = 33

Answers

Answer:

n=82

Step-by-step explanation:

[tex] \frac{17 + n}{3} = 33 \: \: \: \frac{17 + n}{3} = \frac{33}{1} \: \: \: 17 + n = 99 \: \: \: n = 99 - 17 \: \: \: n = 82[/tex]

Proof:

17+n/3=33

17+82/3=33

99/3=33

33=33

Hope this helps ;) ❤❤❤

One more than the product of a number, x, and 7 is 5 less than that number, x. Rewrite this as an equation then solve for x.

Answers

Answer:

(7x+1)=x-5

Step-by-step explanation:

How many positive four-digit integer palindromes have 12 as the sum of the digits of the number?

Answers

2442
2+4+4+2=12

3333
3+3+3+3=12

1551
1+5+5+1=12

4224
4+2+2+4=12

5115
5+1+1+5=12

6006
6+0+0+6=12

The answer is 6

Given g(x) = -x + 5, solve for x when g(x) = 3.

Answers

both equal g(x) so put them together

-x+5=3 then solve for x

-x=3-5
-x=-2
-2 divided by -x =2

x=2

Can someone help me, I need to find the function of a graph​

Answers

Step-by-step explanation:

f(x)=y

(x,y)

(x,f(x))

then,

f(-4)=1

f(0)=2

f(4)=3

What percent is 16 hr of 2 days

Answers

Answer: 33.33%

Step-by-step explanation:

1 day=24 hrs, 2 days=48hrs

 16hrs/2days × 100%

=16hrs/48hrs × 100%

=0.333... × 100%

=33.33% (rounded)

Step-by-step explanation:

[tex] \frac{16}{100} \times 48(2day) = 7.68\%[/tex]

Which expressions are equivalent to 4b?

Answers

Step-by-step explanation:

5b-b,4b^2/b,...and so on

there are infinite number of equivalent expression..

among them five are here

4*b,

6b-2b,

2*2b,

((5b^3-b^3)/b^2),

2b+2b,etc

Solve the equation below for x. 3.25x = 8.125 A. x = 0.025 B. x = 0.25 C. x = 2.5 D. x = 25

Answers

Answer:

C

Step-by-step explanation:

Answer: C

Step-by-step explanation: Because its just easy ;/

Please help me!! This a mathematical question. I will be so happy if someone helps me‍♂️

Answers

Answer:

The answer is the fourth one.

[tex]\frac{1}{r^7} +\frac{1}{s^12}[/tex]

Step-by-step explanation:

Evaluate 6t -20-32u when t=6 and u=1/4

Answers

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex]6t - 20 - 32u = 6(6) - 20 - 32( \frac{1}{4} ) = 36 - 20 - 8 = 16 - 8 = 8[/tex]

Hope this helps ;) ❤❤❤

Plug in the numbers. 6(6)-20-32(1/4)
Then multiply first. 36-20-8.
Then go left to right for subtracting.
36-20= 16; 16-8=8
So your answer would be 8.

Pls help me and show working​

Answers

Answer:

4x + 10 > 3x + 14

x > 4

Step-by-step explanation:

Use the given values for length and width in the formula for perimeter of a rectangle.  You will be able to find the perimeter of rectangles A and B.

A = 2(l + w)

A = 2(x + 5 + x)

A = 2(2x + 5)

A = 4x + 10

B = 2(l + w)

B = 2(x + 7 + x/2)

B = 2(3x/2 + 7)

B = 3x + 14

The perimeter of rectangle A is larger than that of rectangle B.

A > B

4x + 10 > 3x + 14

(4x + 10) - 3x > (3x + 14) - 3x

x + 10 > 14

(x + 10) - 10 > 14 - 10

x > 4

3xy + 5x + 2 + 3y +x + 4

Answers

3xy+6x+3y+6 is the answe

Answer:

= 3xy + ( 5x + x) + 3y + ( 4 +2 )

= 3xy + 6x + 3y + 6

please tell me this asap..

y/2 - 1/5 = 2 - y/3​

Answers

Answer:

y=2 16/25

in other words, two and sixteen twenty-fifths

Step-by-step explanation:

y/2-1/5=2-y/3

Move the variables to one side and constants to the other

y/2+y/3=2+1/5

Multiply y/2 by 3/3 and y/3 by 2/2 so that they have a common denominator

3y/6+2y/6=2 1/5

5y/6=11/5

Cross multiply

66=25y

y=66/25

y=2 16/25

HOPE THIS HELPS!!!

please someone help me... i need full answer ​

Answers

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

[tex]\sin x-\sin y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\sin\bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x-\cos y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\cos\bigg(\dfrac{x-y}{2}\bigg)[/tex]

Proof LHS →  RHS

[tex]\text{LHS:}\qquad \qquad \qquad \qquad \dfrac{\sin 2A+\sin 5A-\sin A}{\cos A+\cos 2A+\cos 5A}[/tex]

[tex]\text{Regroup:}\qquad \qquad \qquad \dfrac{\sin 2A+(\sin 5A-\sin A)}{\cos 2A+(\cos 5A+\cos A)}[/tex]

[tex]\text{Sum to Product:}\qquad \dfrac{\sin 2A+2\cos\bigg(\dfrac{5A+A}{2}\bigg)\sin\bigg(\dfrac{5A-A}{2}\bigg)}{\cos2A+\cos\bigg(\dfrac{5A+A}{2}\bigg)\cos\bigg(\dfrac{5A-A}{2}\bigg)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A+2\cos 3A\sin 2A}{\cos 2A+2\cos 3A\cos 2A}[/tex]

[tex]\text{Factor:}\qquad \qquad \qquad \dfrac{\sin 2A(1+2\cos 3A)}{\cos 2A(1+2\cos 3A)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A}{\cos 2A}\\\\.\qquad \qquad \qquad \qquad =\tan 2A[/tex]

LHS = RHS:  tan 2A = tan 2A  [tex]\checkmark[/tex]

Each of 7 reported the number of movies they saw in the past year here is what they reported. 4, 17, 6, 15, 10,10,19 Find the mean number of movies that the students saw.

Answers

Answer:

Step-by-step explanation:

4+6+10+10+15+17+19=81

Then you divide 81 by the numbers of the numbers given. Which is 7 numbers so it will be 81/7 which is 11.57 then you approximate it to 11.

A resting heart rate for men on a chart say 62-65 beats per minute puts men in the good category of scott counted 238 heart beats in 3 1/2 minutes does his heart rate fall into the good category

Answers

no, his bpm is too high, the average heart will go about 217-227.5 in a span of 3 1/2 min, and his is about 15.75 to high, (his bpm is 68 while it should be 62-65)

9) The speed limit on the freeway is 65 miles per hour. a) What is this speed in kilometers per minute?
b) If you drive for 3.5 hours at the speed limit? How many kilometers have you travelled?

Answers

Answer: Answer is in the steps

Step-by-step explanation:

A)  First convert 65 miles to kilometers  

65 miles to kilometers  is 104.607  

Convert 1 hour to minute and that will be 60 minutes because 60 minutes makes and hour.

Now divide the kilometers by the number of minutes

104.607 / 60 = 1.74345  

The speed will be 1.74345 kilometers per minute.

B) Convert 3.5 hours to minutes.

3.5 hours is the same as 210 minutes    

Now multiply it by 1.74345 to determine how many kilometers you have traveled.

1.74345 * 210 = 366.1245

You will travel 366.1245 kilometers in 3.5 hours.

a^2+b^2=9 , a+b=? with the method ​

Answers

Answer:

3

Step-by-step explanation:

a^2+b^2=9

(a+b)^2=9

finding the square root on both sides of the equation

a+b=3

Ingrid traveled to Jacksonville, texas, to watch baskets being made. she saw six shelves with 19 baskets on each shelf. how many baskets were on the shelves in all?​

Answers

114 baskets were on the shelves
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