What is the first step that is used to
solve the equation: 3(x+2)=4(x-1)

Answers

Answer 1

Answer:Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps!

Step-by-step explanation:


Related Questions

10 POINTS!! HELP ASAP!! What is the length of AC?

Answers

Answer:

D

Step-by-step explanation:

Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is

[tex]\frac{CE}{CA}[/tex] = [tex]\frac{ED}{AB}[/tex] , substitute values

[tex]\frac{x}{156-x}[/tex] = [tex]\frac{7}{84}[/tex] = [tex]\frac{1}{12}[/tex] ( cross- multiply )

12x = 156 - x ( add x to both sides )

13x = 156 ( divide both sides by 13 )

x = 12

Thus

AC = 156 - x = 156 - 12 = 144 → D

Answer:

D.  144

Step-by-step explanation:

Triangle BAC is similar to triangle DEC, so you can set up a ratio:

[tex]\frac{84}{156-x} = \frac{7}{x}[/tex]

Then cross multiply

84x = 7 (156 - x)

84x = 1092 - 7x

Add 7x to both sides.

91x = 1092

Divide both sides by 91.

x = 12

AC = 156 - x

AC = 156 - 12

AC = 144

The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What
is the slope of the line that passes through the points?
O 2
O 3
06
09

Answers

Answer:

2

Step-by-step explanation:

slope= change of y/change of x

slope=6/3=2

TEN POINTS PLEASE ANSWER CORRECTLY AND DONT JUST STEAL THE POINTS
Is this graph a function? yes or no

Answers

Answer:

yes

Step-by-step explanation:

questions in photo pls help me its due tomorrow.

Answers

Step-by-step explanation:

Hey there!

Given;

[tex] {2}^{4x - 1} =32 [/tex]

[tex] {2}^{4x} . {2}^{ - 1} = {2}^{5} [/tex]

[tex] {2}^{4x} . \frac{1}{2} = {2}^{5} [/tex]

[tex] {2}^{4x} = {2}^{5} . {2}^{1} [/tex]

[tex] {2}^{4x} = {2}^{6} [/tex]

[tex]4x = 6[/tex]

[tex]x = \frac{6}{4} [/tex]

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

7.)

[tex] \sqrt{x} - 3 = 7[/tex]

[tex] \sqrt{x} = 7 + 3[/tex]

[tex]( { \sqrt{x}) }^{2} = {(10)}^{2} [/tex]

X= 100

8.)

[tex]( {x + 1)}^{2} = 81[/tex]

[tex](x + 1) = \sqrt{81} [/tex]

[tex]x + 1 = \sqrt{ {9}^{2} } [/tex]

[tex]x + 1 = 9[/tex]

[tex]x = 9 - 1[/tex]

X=8

Hope it helps...

if y=40 when x=16, find y when x=10.

Answers

Answer:

25

Step-by-step explanation:

Y/10 = 40/16

Y=25

Gabriela Mistral was a poet, diplomat, teacher and humanitarian. Each week she worked a certain amount of days as a poet diplomat teacher and humanitarian. This ratio was one day as a poet to one day as a diplomat to three days as a teacher to two days as a humanitarian how many days must she work as a humanitarian if she works 12 days as a teacher?

Answers

Answer:

Gabriela Mistral works as a humanitarian for [tex]8[/tex] days.

Step-by-step explanation:

Gabriela Mistral was a poet, diplomat, teacher and humanitarian such that each week she worked a certain amount of days as a poet diplomat teacher and humanitarian.

Ratio is [tex]1:1:3:2[/tex]

Let [tex]x[/tex] denotes total number of days Gabriela Mistral work.

As she works 12 days as a teacher,

[tex]\frac{3}{7}x=12\\ x=\frac{7}{3}(12)\\ x=28[/tex]

Total number of days [tex]=x=28[/tex]

So,

she works as a humanitarian for [tex]\frac{2}{7}x=\frac{2}{7}(28)=8[/tex] days.

I NEED THIS ASAP PLZ
As a student, you are able to earn extra money by assisting your neighbors with odd jobs. If you charged $10.25 an hour for your assistance, about how many hours would you need to work to earn $8,425? Show your work

Answers

Answer:

822 hours

Step-by-step explanation:

the answer would be 821.95----- but rounded to hours, it is 822

What is the value of the expression
?
(2-4)2

Answers

Answer:

-4

Step-by-step explanation:

2 - 4 = -2

-2 multiplied by 2 is -4

Hope I helped :)

Please consider Brainliest :)

what is 664,000 dived by 555,897

Answers

Answer:

I got 1.19446588127

f(x) = - X2 + 6x - 11.

Answers

Answer:

×=11/4

Step-by-step explanation:

0=-2x+6x-11

0=4x-11

-4x=-11

x=11/4

Your answer
2. Find the slope of the line that passes through each of the points. Make
sure you simplify! *
1 point
(4,-2)and (10,-2)
1/2
-1/2
O 0
1/6

Answers

0
The y for both is -2 which means no incline

What is the difference of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 2 and one-half minus (negative 1 and three-fourths) A number line going from negative 3 to 0 in increments of One-fourth. a \large -4\frac{1}{4} b \large -\frac{3}{4} c -4 d \large -\frac{1}{2}

Answers

Answer:

B)[tex]\frac{-3}{4}[/tex]

Step-by-step explanation:

We are supposed to find the difference of the fractions

a) [tex]-2\frac{1}{2}-(-1\frac{3}{4})[/tex]

[tex]=\frac{-5}{2}+\frac{7}{4}[/tex]

Using equivalent fraction

[tex]-\frac{5}{2} \times \frac{2}{2} = \frac{-10}{4}\\\Rightarrow \frac{-10}{4}+\frac{7}{4}[/tex]

Plot both fractions on number lines

So Using number line

[tex]\frac{-10}{4}+\frac{7}{4}=\frac{-5}{2}+\frac{7}{4}=\frac{-3}{4}[/tex]

So, Option B is true

How to factor y^3 +2y^2 + 2y + 1

Answers

Answer:

Step-by-step explanation:

P(y) = y³ + 2y² + 2y + 1  

P(-1) = (-1)³ + 2*(-1)² + 2*(-1) + 1

      = -1 + 2 - 2 + 1

      = 0

As, P(-1) = 0, (y + 1) is a factor.

  Use synthetic division or remainder theorem.

-1        1          2           2           1

           0        -1            -1         -1        

           1          1            1            0

quotient = y² + y + 1

y³ + 2y² + 2y + 1  = ( y + 1) (y² + y + 1)

 

what point is on the graph of f(x) =6^x​

Answers

Answer:

The point (1 | 6) is on the graph.

Step-by-step explanation:

Answer:

it is 1/6

Step-by-step explanation:

Which of the values below will make -3x + 15 > 102 true?
A. -27
B.-28
C. -29
D. All of the above

Answers

Answer:

C. -29

Step-by-step explanation:

[tex]-3x + 15 > 102\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\\\-3x+15-15>102-15\\\\Simplify\\\\-3x>87\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3x\right)\left(-1\right)<87\left(-1\right)\\\\Simplify\\\\3x<-87\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}<\frac{-87}{3}\\\\Simplify\\\\x<-29[/tex]

if f(x) = x^3+2x^2-5, then what is f(-3)

Answers

Answer:

f(- 3) = - 14

Step-by-step explanation:

To evaluate f(- 3) substitute x = - 3 into f(x), that is

f(- 3) = (- 3)³ + 2(- 3)² - 5 = - 27 + 2(9) - 5 = 27 + 18 - 5 = - 14

How many raisins are left in a jar of 37 raisins after you have eaten some? The equation _______ best models this situation. A. R= 37+N B. R=37/N. C. R= N/37. D. R=37-N

Answers

Answer:

D

Step-by-step explanation:

if you have 37 and however many you eat you subtract from that 37 giving you R

4. In Canadian coins, 16 quarters is equal in value to 2 toonies.
number of quarters
number of toonies
1
16
2
20
24
a. Fill in the table.

Answers

Answer:

If 16 quarters is equal to 2 toonies, then 1 quarter is;

16 : 2

1 : x

16x = 2

x = 2/16

x = 1/8 toonies

20 quarters would therefore be;

= 1/8 * 20

= 2.5 toonies

24 quarters would be;

= 1/8 * 24

= 3 toonies

A figure contains line m and point A not on line m. How many lines pass through A that are perpendicular to line m?

Answers

Answer:

(1) one (2) two (3) zero (4) infinite

Step-by-step explanation:

Sully is buying soil (x) and plants (y) for his rose garden. The soil cost $4 per bag, and the plants cost $6 each. Sully wants to buy at least 10 plants and can spend no more than $120.

Answers

Answer:

hi my name is ais

Step-by-step explanation:

1624#I don't care


The equation y=2x+10 describes the monthly cost to rent a movie at the local
video kiosk, where x represents the number of movies rented and y represents the
total cost. Find and describe the slope of this relationship.

Answers

Suhdhchdjnbxjdbxhbcjdbbxx

Answer:

its a anwser

Step-by-step explanation:

22+2 = 187

Can someone help me please ​

Answers

Answer:

the answer is 2 hope this help

Step-by-step explanation:

during a snow storm the temp drops from o degrees to -10 degrees in 2 hours. on average, bye how many degrees is the temperature changing per hour.

Answers

Answer:

five degrees:)

Step-by-step explanation:

2 hours= -10

1 hour= half of ten

so you could say -5 or that it drops by five degrees every hour.

hope this helps!

Find the two integers, m and n,

make the equation (2x^ny2)m = 4x6y4 true.

Answers

Answer:

m = 2 and n = 3

Step-by-step explanation:

We want to find the value of the integers m and n that will make the given expression true

(2x^ny^2)^m = 4x^6y^4

We can rewrite the left hand side of the equation as follows;

(2x^3y^2)^2

we can proceed to use inspection to ind the value of m and n

Through inspection since the left hand side of the equation now looks like the right hand side;

Then;

m= 2 and n = 3

What Is PI.

Don't Cheat Or No Points

Answers

Answer:

2.14159265358979323846264338327930288419716939937510582097494459230

Step-by-step explanation:

there's a song that I know

Slope interceptand standard Form of y - 4 = 3/4(x + 3)

Answers

Answer:

y= 3/4z + 25/4

Step-by-step explanation:

when x=-4, what is the value of g(x)

Answers

Answer:

just fill in -4 for x so it would be g(-4)

Step-by-step explanation:

Happy Halloween

g(-4) is the answer

If 10^2=100,
10^3=1000
10^4=10000,
what is 1000^2/3

Answers

[tex] {1000}^{ \frac{2}{3} } = {10}^{ {3}^{ \frac{2}{3} } } = {10}^{3 \times \frac{2}{3} } = {10}^{2} = 100 \\ [/tex]

Help Please Due Soon! Find m

Answers

Answer:

{the question is asking to find the value of x not m}

The value of x is 9°

Step-by-step explanation:

8x-2°+47° = 12x+9°{an exterior angle formed by producing the side of triangle is equal to two non adjacent angle}

or, 8x+45° = 12x+9°

or, 8x-12x = 9°-45°

or, -4x = -36°

or, x = -36°/-4

or, x = 9°

Sara has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet.
Part A: What is the greatest number of bouquets she can make?
(Include the numerical answer only.)

Answers

Answer:

8

Step-by-step explanation:

make 8 bouquets: Each bouquet will have 2 red flowers and 3 yellow flowers.

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