Mathematics High School

Solve the equation for x if necessary, enter fractions in lowest terms, using a slash (/) as a fraction bar
4x - 1 = 3(x + 1)
x=

Answers

Answer 1

Answer:

Step-by-step explanation:

4x - 1 = 3(x + 1)

4x - 1 = 3x + 3   [remove the parentheses by multiplying each term by 3]

4x  = 3x + 4       [add 1 to both sides]

1x  =   4               [Subtract 3x from both sides]

x = 4

===

Try it:

4x - 1 = 3(x + 1):  ??

4*4 - 1 = 3(4 + 1) ??

15 = 3(5)

15 = 15 yes

Related Questions

Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40-d
B. 40+ d
C. 40xd
D. 40/d

Answers

Answer:

40-d

Step-by-step explanation:

7 grade math hellp me

Answers

Answer:

P=25

Step-by-step explanation:

Julie estimated her town's population at 77,500. The actual population of her town is 75,000,
Find the percent error.

Answers

Answer:

3.3%

Step-by-step explanation:

77500-75000=2500

2500/75000 x100=3.3%

Pls help!!!!!!!!!!!!!

Answers

Answer:

eat tacos until you bloat

Step-by-step explanation:

AHAHAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH MAMAMAMAMAMAA

3. Solve for side length BD
A
31
D
13 cm
I
47
C
B

Answers

Answer:

A

Step-by-step explanation:

this is beacuse of the ? mark!

Glad this will help

The following function represents the value of a car, in dollars, after x years: f(x) = 24,000(0. 92)x What does 0. 92 represent? The present value of the car The value of the car after x years The decrease in the value of the car, which is 92% The decrease in the value of the car, which is 8%.

Answers

0.92 represents the decrease in the value of the car which is 8% and this can be determined by using the given data.

Given :

The given function represents the value of a car, in dollars, after x years.[tex]f(x)=24000(0.92)x[/tex]

The following steps can be used in order to determine what does 0.92 represents:

Step 1 - Write the given function.

[tex]f(x)=24000(0.92)x[/tex]

Step 2 - In the given function $24000 represents the original value of the car.

Step 3 - According to the given data, 'x' represents the number of years.

Step 4 - Also in the given function, '0.92' represents the decrease in the value of the car which is 8%.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/5245372

FREE BRAINLESS THE FIRST PERSON WHO ANSWER THIS
leo spends $5 per week on music. write an equation that equation that determines the dollars spend D per week.
A. d=5w
b. d=5+w
c. w=5d
d. w=5+d

Answers

ANSWER: C

EXPLANATION

you’re multiply they amount of mint by the number of weeks

Hope this help :)

Jeremiah and Cassie went to dinner. Jeremiah’s meal was $25 and Cassie’s was $23. They each got a Pepsi for an additional $3.25. If they planned to leave a 15% tip for their waiter, how much should they leave?

Answers

Answer:

8.175$

Step-by-step explanation:

If we do 23+25+(3.25)×2

The sum of all the bought

It will equal to 54.5

So if we do as the waiter planned

We must to 54.5×15%=8.175$

Find the 12th term of the following geometric sequence.
10, 30, 90, 270

Answers

Answer:

1,771,470

Explanation:

10(3^n-1)

Which expression is equivalent to − 7 x + 6 ( x − 8 2 ) − 2 ( x + 3 ) + 10 ? A. − 3 x + 40 B. − 15 x − 20 C. − 3 x − 20 D. 15 x + 40

Answers

Answer: D i think

Step-by-step explanation:

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

Simplify the expression, then we have

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

⇒ − 7x + 6x − 24 − 2x − 6 + 10

⇒ − 3x − 20

⇒ − (3x + 20)

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

More about the equivalent link is given below.

https://brainly.com/question/889935

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let f(x)=5x+5 find f(-1)

I need your help with this. please help me​

Answers

[tex]f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0[/tex]

Is this correct? And if it is, what's the solution?

Answers

Answer:

No the graph is not correct.  The point of intersection is (-3, 4)

Points on line y = x + 7  are  (-3, 4)  (0, 7) and (2, 9)

Points on line y = -1/3x +3  are (-3, 4) (0, 3) and (-6, 5)

Step-by-step explanation:

y = x + 7              do not change

y = -1/3x + 3        substitute into the top equation and solve for x

-1/3x + 3 = x + 7

       -3  =      -3    

-1/3x    =   x + 4  

- x      =   -x        

-1  1/3x =   4

 - 4/3x  = 4            Changed -1 1/3x to -4/3x

   x    =  4/ -4/3

  x =  -3

  y = x + 7

  y = -3 + 7

 y = 4                         Point of intersection is (-3, 4)  

 

Cheryl is sailing on Lake Superior. A shipwreck lies below her and its location is represented by a negative amount. A helicopter is flying above her and its location is represented by a positive amount. The shipwreck is a greater distance from Cheryl than the helicopter. Which expression could represent a comparison of the possible absolute values of the shipwreck and helicopter?

A) |–125| < |45|
B) |–98.5| < |23.7|
C) |–174.6| > |204|
D) |–362.5| > |45.8|

Answers

Answer:

D

Step-by-step explanation:

To solve this, we can go through each answer and see if it is correct.

A)

|–125| < |45|

When comparing absolute values, and the absolute value signs (the | lines) are only around one number, we can ignore the negative. Thus, we have

125 < 45

125 is greater than 45, so this is false

B)

|–98.5| < |23.7|

98.5 < 23.7

98.5 is greater than 23.7, so this is false

C)

|–174.6| > |204|

174.6 > 204

174.6 is less than 204, so this is false

D)

|–362.5| > |45.8|

362.5 > 45.8

362.5 is greater than 45.8, so this is true

the formula to find the curved surface area of the cone

Answers

Step-by-step explanation:

the formula for finding curved surface area of the cone is is pi ×r ×l

14. Complete the table below to represent y = 0.25x + 3.
Then draw a graph to represent the relationship between
the x and y-values.

Answers

Answer: 3 is the y intercept; so it will touch the y axis at 3, and 0.25 is the slope of the line

Step-by-step explanation:

go to desmos. com/calculator and put that equation, if you are having a hard time visualizing it.

The graph of y=f(x) is shown below. Find all values of x where f(x)=5

Answers

Answers:   -6 and -4

=======================================================

Explanation:

Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.

This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6

This shows that f(-4) = 5 and f(-6) = 5.

Phrased another way: the points (-4,5) and (-6,5) are on the parabola.

Which is 5log x - 6log (x - 8) written as a single logarithm?

Answers

Answer:

log[x⁵/(x-8)⁶]

Step-by-step explanation:

5log(x) - 6log(x-8)

log(x⁵) - log((x-8)⁶)

log[x⁵/(x-8)⁶]

what would the algebraic expression be for the product of 3 and x increased by 20

Answers

Answer:

3x + 20

Step-by-step explanation:

Product is for multiplication therefore, the product of 3 and x is 3x.

increased = addition

Overall, the product of 3 and x increased by 20 is 3x + 20.

the pentagons ABCDE and JKLMN are similar find the length x of JK

Answers

the second shape is double the first so you would do AB = 2 and then times by 2 as its double and you will get 4
answer = 4

Answer:

x = 4

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{2}[/tex] = [tex]\frac{8}{4}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )

x = 4

The rainfall recorded in a certain city is given below. Calculate the average rainfall. 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm and 4.34 cm.
if you answer then i will mark you brainliest!!!

Answers

Answer:

3.4 cm

Step-by-step explanation:

average is the sum of all the values then divided by the number of values.

The average rainfall for the given values is 3.40 cm while The rainfall recorded in a certain city.

The average rainfall can be calculated by adding up all the recorded rainfall values and then dividing the sum by the number of values.

Let's calculate the average rainfall for the given values: 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm, and 4.34 cm.

Step 1: Add up all the values: 2.54 cm + 1.75 cm + 3.05 cm + 5.00 cm + 3.72 cm + 4.34 cm = 20.40 cm

Step 2: Divide the sum by the number of values (which is 6 in this case): 20.40 cm / 6 = 3.40 cm

Therefore, the average rainfall for the given values is 3.40 cm.

To know more about average here

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

Answers

Answer:

x=72

Step-by-step explanation:

x-9=3/4 ⋅ x+9

1/4 ⋅ x -9=9

1/4⋅x=18

x=72

Find the equation of the line with slope of 2 passing through (3,1)

pplleeaassee

Answers

The equation of the line is y-2x+5=0 I believe. Good luck :)

What is the value of x?

A. 73°
B. 71°
C. 70°
D. 68°

Answers

We have: 540° = 180° - x° + 180° - 52° + 93° + 180° - (x+3)° + 180° - 78°

⇒ 2x° = 140° ⇒ x° = 70°

The answer is C. 70°

ok done. Thank to me :>

HELLPPPP PLEASEEEE IM GIVING 100 POINTS
which is the equation of the line in slope-intercept form

Enter your answer in the boxes
Y=__x+__

Answers

Answer:

Y= -5x + 6Y

Step-by-step explanation:

(-5, -2.5) to (1.5, 6)

I need help please!!!

Answers

Answer:

x=1

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. In this equation, the AOS is x=1

Brainliest would be appreciated! :-)

Another way to find the AOS, is by looking at the f(x) function, the last number will always be the AOS.

Answers please ASAP!!!

Answers

-1/-1=1
(-4/5)/-1= 4/5
(-2/5)/-1= 2/5
(4/5)/-1= -4/5
1/-1= -1

The solution is x < -2/5

please help me!

ty :)

Answers

Answer:

slope: -4

Step-by-step explanation:

the formula to finding slope using two points is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

so insert the x- and y- values into the formula. you'll get:

[tex]m=\frac{-11-9}{3-(-2)}=\frac{-20}{5}=-4[/tex]

Find the area of the shape shown below.

Answers

Answer:

28

Step-by-step explanation:

What time is four past eight at night

Answers

Answer:

8:04 pm

Step-by-step explanation:

Answer:

8:04

Step-by-step explanation:

8 o'clock and four minutes past 8 is 8:04.

Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3

Answers

Answer:

[tex]y=10x+24[/tex]

Step-by-step explanation:

Find the derivative of the function

[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]

Determine the slope of p(t) at t=3:

[tex]p'(3)=6(3)-8=18-8=10[/tex]

Find p(3):

[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]6=10(3)+b[/tex]

[tex]6=30+b[/tex]

[tex]-24=b[/tex]

Final equation:

[tex]y=10x-24[/tex]

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