3(2x+3)-4(3x-6)=16 show and explain.

Answers

Answer 1

Answer:

x = 17/6

Step-by-step explanation:

First of all remove parenthesis by using distribution

6x + 9 - 12x + 24 = 16

Then collect all like terms

-6x + 33 = 16

After that move the constant to the right

- 6x = 16 - 33

Calculate 16 - 33

-6x = -17

Divide both sides

x = 17/6

Hope this helps!


Related Questions

Give two points with integer coordinates that have a slope of 2/5 between them.

Answers

Answer:

yes

Given a 2D line e.g. (3,10) -> (8.3,16.5), how can I find any point on that line that has has whole-number coordinates?

I can easily iteratively walk along one of the axis in integer steps, seeing if the value on the other axis is integer, but this is slow for very very long lines.

soIve: 12 = -4(-6x - 3)


x = -0.625
x = -0.375
x = -2
x = 0

Answers

Answer:

The answer is "x = 0"

Step-by-step explanation:

Step-by-step explanation: Hope this answer is helpful...

Make me as brainliest...

Keith sold half of his comic books and then bought nine
more. He now has 20. How many did he begin with?

Answers

Answer:

22 comic books.

Step-by-step explanation:

(20 - 9) * 2 First subtract 9 from 20

11 * 2 Multiply 11 by 2

22 is the product

L1 : y = 2x , (2) find the equation of the line L2 perpendicular to L1 passing through the point P = (1, 2).

Answers

Answer:

2y+x = 5

Step-by-step explanation:

Given the line L1 as y = 2x perpendicular to an unknown line L2 passing through the point P = (1, 2), we are to find the equation of line L2. to find the equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)

m is the slope of the unknown line

(x₀, y₀) is the given point.

First is to get the slope of the known line:

comparing the line L1: y = 2x with the standard equation of the line y = mx+c, it can be seen that m = 2

Then we will calculate the slope of the required line.

Since L1 is perpendicular to L2, the product of their slope will be -1 i.e

mm₁ = -1 where m₁ is the slope of the required line L2.

Given m =2

m₁ = -1/m

m₁ = -1/2

Finally we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;

y-y₀ = m(x-x₀)

Given (x₀, y₀) = (1,2) and m₁ = -1/2

y-2 = -1/2(x-1)

open the parenthesis

y-2 = -x/2+1/2

multiply through by 2:

2y-4 = -x+1

2y+x = 1+4

2y+x = 5

Hence the equation of the line L2 is 2y+x = 5

Twice a number is at most 36.​

Answers

Answer:

18?

Step-by-step explanation:


Write a number (in standard form) that has the digit 7 in the thousands place. Use the digit 7 only once.

Answers

Answer:

7123

Step-by-step explanation:

The only requirement is to have 7 in the thousands place, which I've done, and the rest of the numbers can be any number you choose!

which equation can be represented by the number line

Answers

Answer:

B

Step-by-step explanation:

The arrow is going left four units. Since it's going left, we know that we are adding a negative number and since it's going left 4 units, we know that we are adding -4 in our equation. This narrows it down to options B and D. However, the arrow usually represents the second number being added, hence, the answer is B.

graph h(t)=-2(t+5)^2+3, find h(-8)

Answers

Answer:

h(-8)=-15

Step-by-step explanation:

Substitute t=-8

h(-8) =-2(-8+5)^2+3

       =-2(-3)^2+3

       =-2(9)+3

       =-18+3

       =-15

Answer:

h(-8) = - 15

Step-by-step explanation:

h(t) = - 2(t + 5)² + 3

replace t with - 8

h(-8) = - 2(- 8 + 5)² + 3

h(-8) = - 2(-3)² + 3

h(-8) = -2×9 + 3

h(-8) = - 18 + 3

h(-8) = - 15

9 pencils cost 7.74 what is the equation of the cost of 6 pencils​

Answers

Answer:

6 pencils cost $5.16.

Step-by-step explanation:

1. Find the cost of one pencil.

Divide: $7.74 ÷ 9 = $0.86 for one pencil

2. Multiply 0.86 by 6

$0.86 × 6 = $5.16

Answer:

2/3 multiply with 7.74

=5.16

Find the volume of the shipping box using the two methods and show your work: Packing cubes Using the volume formula Explain how both methods provide the same measurement of volume for the shipping box.

Answers

Answer:

Volume is the measure of how big an object is in three dimensions, so the volume of a box measure how much room there is inside of the box. To find it, you need to make a few simple measurements of length, width, and height, and then multiply them.

Step-by-step explanation:

4(6c+5) - 2(3c - 5) = 120

Answers

Answer:

[tex]c=5[/tex]

Step-by-step explanation:

[tex]4(6c+5)-2(3c-5)=120[/tex]

Use the distributive property to expand the equation:

[tex]4(6c)+4(5)-2(3c)-2(-5)=120\\\\24c+20-6c+10=120[/tex]

Combine like terms to simplify the equation:

[tex]24c-6c+20+10=120\\\\18c+30=120[/tex]

Subtract 30 from both sides:

[tex]18c+30-30=120-30\\\\18c=90[/tex]

Isolate the variable c. Divide both sides by 18:

[tex]\frac{18c}{18}=\frac{90}{18}\\\\ c=5[/tex]

So, c is equal to 5.

:Done

What the hello does this mean -----> 42 × 10 = 10 – 4 × 70

Answers

Answer:

whatever 42 times 10 equals, it also equals what ten minus 4 times seventy is

Step-by-step explanation:

so both 42 × 10

and 10 – 4 × 70

EQUAL

420

(pffft 420....sorry its funny)

Answer:

Associative properties

Step-by-step explanation:

42 x 10 = 420

(10-4)=6

6 x 70 = 420

Consider the following planes. x + y + z = 5, x + 3y + 3z = 5A) Find parametric equations for the line of intersection of the planes. B) Find the angle between the planes.

Answers

Answer:

Step-by-step explanation:

Consider the following planes.  x + y + z = 5, x + 3y + 3z = 5

the parametric equations for the line of intersection of the planes are determined as follows:

From the first plane, the normal of the first plane is [tex]n_1 = (1,1,1)[/tex]

from the second plane, the normal of the second plane is [tex]n_2 = (1,3,3)[/tex]

[tex]n_1 \times n_2 = \begin {vmatrix} \left \begin{array}{ccc}i&j&k\\1&1&1\\1&3&3 \end{array}\right \end {vmatrix}[/tex]

= i(3-3) -j(3-1)+k(3-1)

= i(0) - j(2) + k(2)

= -2j +2k

Suppose z = 0

x+y + 0 = 5  ---(1)

x+3y + 3(0) = 5 (2)

subtracting by elimination

-2y = 0

y = 0/-2

y = 0

The intersection on point of the plane is (5,0,0)

The  equation of plane is r (t) =(5, 0, 0) + t(0, -2, 2)

(x(t), y (t), z(t) ) = (5, -2t, 2t)

B) Find the angle between the planes

The angle between the planes can be represented by the equation:

[tex]cos \theta = \dfrac{a_1a_2+b_1b_2 + c_1c_2}{\sqrt{a^2_1+b_1^2+c_1^2}\sqrt{a_2^2+b_2^2+c_2^2}}[/tex]

[tex]cos \theta = \dfrac{1 \times 1+1\times 3 +1 \times 3}{\sqrt{1^2+1^2+1^2}\sqrt{1^2+3^2+3^2}}[/tex]

[tex]cos \theta = \dfrac{1+ 3 +3}{\sqrt{3}\sqrt{19}}[/tex]

[tex]cos \theta = \dfrac{7}{\sqrt{3}\sqrt{19}}[/tex]

[tex]\mathbf{\theta = cos ^{-1} (\dfrac{7}{\sqrt{57}})}[/tex]

7.
A dental office starts the month with 2,258 latex examination gloves. At month's end,
784 gloves remain. How many gloves were used?

Answers

2258 latex gloves
784 gloves remain
How many were used means we have to subtract

2258 - 784 = 1474
1474 gloves were used

The perimeter of the original rectangle is 16 feet. A small rectangle has a length of 6.2 feet and width of 1.8 feet. A larger rectangle has a length of 12.4 feet and width of blank. Not drawn to scale What is the perimeter of the enlarged rectangle? Round to the nearest tenth if necessary.

Answers

Answer:

  32 ft

Step-by-step explanation:

The length of the larger rectangle is double that of the smaller one. If we assume the rectangles are similar, the perimeter will be double as well:

  2·(16 ft) = 32 feet . . . . perimeter of larger rectangle

__

The width of the larger one is 2·1.8 ft = 3.6 ft.

Answer:

C) 32 feet

Step-by-step explanation:

\(゚ー゚\)


3. Determine if the equation represents y as a function of x.
9x + 3y = 12

Answers

The answers in the picture download photomath scam your problem and gives u answer

What is the value of the expression when y = 2? StartFraction 2 minus y Over 4 plus y EndFraction plus StartFraction 3 (y plus 2) Over y EndFraction

Answers

Answer:

12

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

I need help with this pls ASAP

Answers

K is the right answer for the problem!

Need help on this one. Sort of confused.

Answers

Answer:

I'm just as confused as you lol

um honestly same i’m so confused maybe ask the teacher for help

Sofia invests her money in an account paying 7% interest compounded semiannually. What is the effective annual yield on this account? Enter your response as a percentage rounded to two decimal places and omit the percentage sign

Answers

Answer:

7.12

Step-by-step explanation:

The formula for the effective annual yield is given as:

i = ( 1 + r/m)^m - 1

Where

i = Effective Annual yield

r = interest rate = 7% = 0.07

m= compounding frequency = semi annually = 2

i = ( 1 + 0.07/2)² - 1

i = (1 + 0.035)² - 1

= 1.035² - 1

= 1.071225 - 1

= 0.071225

Converting to percentage

0.071225 × 100

= 7.1225%

Approximately to 2 decimal places = 7.12

Therefore, the annual effective yield = 7.12

Select the relationship that does represent a function.

Answers

Answer:

Picture number 3 is the answer

Step-by-step explanation:

A function is a relation in which each element in the domain is paired with exactly one element in the range not 2.

Picture number one has a range left with no domain so it's not a function

Picture number 2 is showing an element in the domain which paired 2 elements in the range so it's not a function

Picture 3 is correct because each element in the domain macthes one element in the range.

Picture 4 is wrong because it's showing elements in the domain that matches 2 elements in the range. Hope it makes sense.

The required relationship that represents a function is given by 3rd image. Option C is correct.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

The first image has a range with no domain, hence it is not a function. In 2nd image depicts an element in the domain that paired two elements in the range, indicating that it is not a function. In 3rd image, it is valid because each element in the domain corresponds to one element in the range. In picture 4, it is incorrect since it depicts domain components that match two range elements.

Thus, the required relationship that represents a function is given by 3rd image. Option C is correct.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

A square has the following vertices. Find the area of the square.
(-7,-5), (-4,-2), (-1,-5), (-4,-8)
(1 point)
O V18 square units
O 18 square units
O V6 square units
O 6 square units

Answers

Answer:

18 square units

Step-by-step explanation:

Since the shape is a square lets find the distance between two close point then square the distance to find the answer.

Lets take the point (-7,-5), (-4,-2)

Distance= √((y2-y1)²+(x2-x1)²)

Distance= √((-2--5)²+(-4--7)²)

Distance= √((-2+5)²+(-4+7)²)

Distance= √((3)²+(3)²)

Distance= √(9+9)

Distance= √18 units

Area= distance ²

area= √18²

Area= 18 square unit

Andre and Morgan are both headed to Florida for vacation. Andre will drive 70 miles per hour. Morgan will drive 55 miles per hour but will leave 3 hours earlier than Andre. How many hours will Morgan have been driving before Andre catches up with her?

Answers

Answer:

14hours

Step-by-step explanation:

Since Andre and Morgan are both heading to the same location i.e Florida, they will have the same distance.

Distance = Speed × Time

For Morgan:

His speed = 55mi/hr

Let his time = x

Distance covered by Morgan = 55x

For Andre

His speed = 70mi/hr

Time = x-3 (since morgan leaves 3 hours earlier than Andre)

Distance covered = 70× (x-3) = 70(x-3)miles

Since they are driving towards the same location;

55x = 70(x-3)

55x = 70x-210

55x-70x = -210

-15x = -210

x = 210/15

x = 14

Hence Morgan will have been driving 14hours before Andre catch up

Which graph represents the inequality 3y-5x<-6?

Answers

Answer:

First Graph

Step-by-step explanation:

3y-5x<-6

3y<5x-6

y<5/3x-6/3

y<5/3x-2

plug in the coordinates (0,0)

0<0-2

0<-2

0 is not less than -2

therefore the graph would be shaded opposite of (0,0)

From the site a certain ramp has a right triangular shape its height is 30 cm and it’s horizontal length is 3 m what calculation will give us the estimated length of the ramp in meters

Answers

Answer:

[tex]a^{2} +b^{2} =c^{2}[/tex]

Step-by-step explanation:

C is the horisontal and a or b can be the height, plug in the numbers and you solve for length.

Answer:

(sqr) 30^2/100^2+3^2

Step-by-step explanation:

A report on Americans' attitudes toward teachers' pay found that 82% of the respondents to the survey upon which the report is based think that teachers don't make enough money. Which factor is most relevant when evaluating this report? A. 49% of the respondents were women. B. 78% of the respondents were married. C. 51% of the respondents were men. D. 62% of the respondents were educators.

Answers

Answer:

I think the answer is A. 49% of the respondents were women

I need some help with this question. "A scale drawing of a school bus has a scale of an inch to 5 feet. If the length of the school bus is in inches on the scale drawing, what is the actual length of the bus?"

Answers

Answer:

45 Feet

Step-by-step explanation:

4.5 divided by 0.5=9

9 times 5=45

Hoped this helped!

Angles that are supplementary

Answers

Answer:

Two angles are said to be supplementary when they add up to 180°.

Answer:

Angles are supplementary if the add up to 180 degrees

Step-by-step explanation:

So many different angles can be supplementary.

Examples:

Ajacent Angles

Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

And a few other angles

Hope This Helps :)

Solve for t.

-1 (t + 8) = -1.7

Answers

Answer:

t=-6.3

Step-by-step explanation:

-1 (t + 8) = -1.7

-1*t+-1*8=-1.7

-1t-8=-1.7

   +8      +8

-1t=-1.7+8

-1t=6.3

-1t/-1=6.3/-1

t=-6.3

I hope this helped you.

Please mark Brainliest.

Have a great day!!!!!!!!

Answer: -6.3

Step-by-step explanation:

distribute whats in the parenthesis and you should get -1t-8= -1.7add 8 on both sides... -8 should cancel out with the positive 8 and you should get 6.3 when solving for -1.7+8. Drop your -1t divide -1 on both sides and the answer should be -6.3

let me know if you have any questions

Determine whether each set {p1,p2} is a linearly independent set in P3.
1. The polynomials p1 (t) = 1 + t2 and p2(t) = 1 - t2.
2. The polynomials p1 (t) = 2t + t2 and p2(t) = 1 + t.
3. The polynomials p1(t) = 2t - 4t2 and p2(t) = 6t2 - 3t.

Answers

Answer:

1) The polynomials [tex]p_{1}(t) = 1 +t^{2}[/tex] and [tex]p_{2}(t) = 1-t^{2}[/tex] are linearly independient, 2) The polynomials [tex]p_{1}(t) = 2\cdot t +t^{2}[/tex] and [tex]p_{2}(t) = 1+t[/tex] are linearly independent, 3) The polynomials [tex]p_{1}(t) = 2\cdot t - 4\cdot t^{2}[/tex] and [tex]p_{2}(t) = 6\cdot t^{2}-3\cdot t[/tex] are linearly dependent.

Step-by-step explanation:

A set is linearly independent if and only if the sum of elements satisfy the following conditions:

[tex]\Sigma_{i=0}^{n} \alpha_{i} \cdot u_{i} = 0[/tex]

[tex]\alpha_{0} = \alpha_{1} =...=\alpha_{i} = 0[/tex]

1) The set of elements form the following sum:

[tex]\alpha_{1}\cdot p_{1}(t)+\alpha_{2}\cdot p_{2}(t) = 0[/tex]

[tex]\alpha_{1}\cdot (1+t^{2})+\alpha_{2}\cdot (1-t^{2}) = 0[/tex]

[tex](\alpha_{1}+\alpha_{2})\cdot (1) +(\alpha_{1}-\alpha_{2})\cdot t^{2} = 0[/tex]

From definition this system of equations must be satisfied:

[tex]\alpha_{1} + \alpha_{2} = 0[/tex] Eq. 1

[tex]\alpha_{1}-\alpha_{2} = 0[/tex] Eq. 2

From Eq. 2:

[tex]\alpha_{1} = \alpha_{2}[/tex]

In Eq. 1:

[tex]2\cdot \alpha_{1} =0[/tex]

[tex]\alpha_{1} = 0[/tex]

[tex]\alpha_{2} = 0[/tex]

The polynomials [tex]p_{1}(t) = 1 +t^{2}[/tex] and [tex]p_{2}(t) = 1-t^{2}[/tex] are linearly independient.

2) The set of elements form the following sum:

[tex]\alpha_{1}\cdot p_{1}(t)+\alpha_{2}\cdot p_{2}(t) = 0[/tex]

[tex]\alpha_{1}\cdot (2\cdot t+t^{2})+\alpha_{2}\cdot (1+t) = 0[/tex]

[tex]\alpha_{2}\cdot (1) +(2\cdot \alpha_{1}+\alpha_{2})\cdot t +\alpha_1 \cdot t^{2} = 0[/tex]

From definition this system of equations must be satisfied:

[tex]\alpha_{2} = 0[/tex]

[tex]2\cdot \alpha_{1}+\alpha_{2} = 0[/tex]

[tex]\alpha_{1} = 0[/tex]

The polynomials [tex]p_{1}(t) = 2\cdot t +t^{2}[/tex] and [tex]p_{2}(t) = 1+t[/tex] are linearly independent.

3) The set of elements form the following sum:

[tex]\alpha_{1}\cdot p_{1}(t)+\alpha_{2}\cdot p_{2}(t) = 0[/tex]

[tex]\alpha_{1}\cdot (2\cdot t-4\cdot t^{2})+\alpha_{2}\cdot (6\cdot t^{2}-3\cdot t) = 0[/tex]

[tex](2\cdot \alpha_{1}-3\cdot \alpha_{2})\cdot t + (-4\cdot \alpha_{1}+6\cdot \alpha_{2})\cdot t^{2} = 0[/tex]

From definition this system of equations must be satisfied:

[tex]2\cdot \alpha_{1}-3\cdot \alpha_{2} = 0[/tex] (Eq. 1)

[tex]-4\cdot \alpha_{1}+6\cdot \alpha_{2} =0[/tex] (Eq. 2)

It is easy to find that each coefficient is multiple of the other one, that is:

[tex]\alpha_{1} =\frac{3}{2}\cdot \alpha_{2}[/tex] (From Eq. 1)

[tex]\alpha_{1} = \frac{6}{4}\cdot \alpha_{2}[/tex] (From Eq. 2)

[tex]\alpha_{1} = \frac{3}{2}\cdot \alpha_{2}[/tex]

Which means that polynomials [tex]p_{1}(t) = 2\cdot t - 4\cdot t^{2}[/tex] and [tex]p_{2}(t) = 6\cdot t^{2}-3\cdot t[/tex] are linearly dependent.

Other Questions
Select the account classification that matches with the description.Sales of products or services.A. AssetsB. DividendsC. ExpensesD. LiabilitiesE. RevenuesF. Stockholder's Equity 10 - (-10) - (-10) In which block of the periodic table is uradium (U) found?s blockd blockblockf block In a triangle, the measure of one angle is five more than the first and the third angle is one more than four times the first. When minorities abandon their separate identity and adopt the culture and norms of the dominant group, what are they practicing? What would be the effect of the uneven distribution ofthe Sun's energy on Earth?The equator and the poles would both be cool.The equator and the poles would both be warm.The equator would be warmer than the poles.The equator would be cooler than the poles. Why is the English bill of right important? suppose that Y varies directly with X andY equals 12 when X equals -2 what is X when Y equals -6 This type of measure can change because it is affected by gravity A) Volume B) Mass C) Temperature D) Weight find the area of the region enclosed by the curves y=x and y=(x-2)^2 Help asap plsssss:((( Reading a passage can lead to a change in your ____? A red blood cell is *blank*times as long as hemoglobin. helppppp i dont know pslss Mitchell works at the local movie theater. He currently has $395 in hissavings account and he plans to deposit $30 in his account every week.Define the variable and write an algebraic expression to show how muchmoney Mitchell will have in his account after any number of weeks. What was affected by the exchange of biology, food, and natural resources during the Columbian Exchange? A much of the known world, through trade and contact B only Europe and the Americas C only Europe, the Americas, and Africa D only North and South America In general, is the U S. federal tax system progressive or regressive?A. RegressiveB. Progressive ax+b=c for x how do I solve this can someone help explain it to me. how did the scientific revolution contribute to the enlightenment Why cant you taste or touch any materials at the Laboratory