make x the subject of the relaton3x-ax=2x+5​

Answers

Answer 1

Answer:

x =5/ (1-a)

Step-by-step explanation:

3x-ax=2x+5​

Subtract 2x from each side

3x -ax-2x = 2x+5-2x

3x -ax -2x = 5

combine like terms

x-ax = 5

Factor out x

x(1-a) =5

Divide each side by 1-a

x =5/ (1-a)

Answer 2

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]3x-ax=2x+5\\\\3x-ax-2x=5\\\\(3-2)x-ax=5\\\\x-ax=5\\\\x(1-a)=5\\\\\dashrightarrow x=\dfrac{5}{1-a}[/tex]


Related Questions

Select the correct answer.
Which is the minimum or maximum value of the given function?
dndnsn

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the function is not given. So, I will make an assumption.

A quadratic function is represented as:

[tex]f(x) = ax^2 + bx + c[/tex]

If [tex]a > 0[/tex], then the function has a minimum x value

E.g. [tex]f(x) = 4x^2 - 5x + 8[/tex] ------ [tex]4 > 0[/tex]

Else, then the function has a maximum x value

E.g. [tex]f(x)= -4x^2 -5x + 8[/tex] ---- [tex]-4 < 0[/tex]

The maximum or minimum x value is calculated using:

[tex]x = -\frac{b}{2a}[/tex]

For instance, the maximum of [tex]f(x)= -4x^2 -5x + 8[/tex] is:

[tex]x = -\frac{-5}{2*-4}[/tex]

[tex]x = -\frac{5}{8}[/tex]

So, the maximum of the function is:

[tex]f(x)= -4x^2 -5x + 8[/tex]

[tex]f(-\frac{5}{8}) = -4 * (-\frac{5}{8})^2 - 5 *(-\frac{5}{8}) +8[/tex]

[tex]f(-\frac{5}{8}) = 9.5625[/tex]

Can someone please help me?

Answers

you have to read the bottom link for the answer key

What is the value of the expression (2x + y) (2x - y) when x = 4 and y = -5?

Answers

Answer:

39

Step-by-step explanation:

1. (2(4)-5)(2(4)+5)

2.(3)(13)

3.39

Answer:

Step-by-step explanation:

This is a difference of squares question. You should 64 = 25 = 39 Let's see if that happens.

Difference of squares

(2x - y) ( 2x + y) = 4x^2 - y^2

4(4)^2 - (5)^2

64 - 25 = 39

Now do the question exactly as it is written.

(2*4 - -5)(2*4 + -5)

(8 +5)(8 - 5)

3 * 13

39

They really do give the same answer.

Britany wants to read a book. In her room, she has 5 mysteries, 15 historical fictions, 12 modern fantasies, and 7 blographies.
How many different choices are available?


pleaseee

Answers

Answer:

39

Step-by-step explanation:

5 + 15 + 12 + 7 = 39

Answer:

39

Step-by-step explanation:

5 + 15 = 20, 12 + 7 = 19, 20 + 19 = 39.

Find the surface of the figure round your answer to the nearest tenth if necessary

Answers

9514 1404 393

Answer:

  192 cm²

Step-by-step explanation:

The total surface area is the sum of the two triangular base areas and the three rectangular lateral face areas.

  SA = 2(1/2)(6 cm)(8 cm) + (6 cm +8 cm +10 cm)(6 cm) = 192 cm²

The surface area of the figure is 192 square centimeters.

Find the medien: 16,12,10,15,7,9,16

Answers

Answer:

12

Step-by-step explanation:

arrange the numbers in ascending order and cross out from either side till you have a middle line

FINAL ANSWER:

12

Step-by-step explanation:

Median is the middle number in the data set.

so first of ... we need to arrange the group of numbers from lower to greater.

16, 12, 10, 15, 7, 9, 16 ⇒ 7, 9, 10, 12, 15, 16, 16

Now that we have arranged the numbers from least to greatest all we need to do is to find the middle number of the data set (data set? they are the group of numbers)

Ok, so what you want to do here is to just count the numbers until you get to the middle number of the data set...

7, 9, 10, 12, 15, 16, 16

the median in the given data set is 12.

I hope this helps you!!! Let me know if my answer is incorrect or not...

HAVE A GREAT DAY AND GOD BLESS YOU ;)!!!

HELPPP PLEASE ASAP!!! I don’t know how to solve this problem nor where to start? Can some please help me out and explain how you got the answer please. Thank you for your time.

Answers

Step-by-step explanation:

Count the number of times you have to move the decimal point to the right until it is to the right of the 1st nonzero number.

a) You have to move the decimal point 11 times until it gets to the right of the 1st nonzero number, which is 7. You then rewrite this number as

[tex]7.2×10^{-11}[/tex]

The exponent of 10 is a negative number because you moved the decimal point to the right.

b) Similarly, you have to move the point 9 times to the right so the answer is

[tex]9.5×10^{-9}[/tex]

What is the solution to the inequality -6+|2p+3| > 7

Answers

Step-by-step explanation:

you're going to have to set up two expressions since it's an absolute value problem

Michael drove 210 miles in 3 1/2. Jordan drove 330 miles in 6 hours. Which is an accurate comparison of the rates at which the two people drove?

Answers

Michael = 210 / 3.5 = 60 miles per hour

Jordan = 330/ 6 =55 miles per hour

Jordan drove 5 miles per hour slower than michael

HELPPPP

what is this

Answers

Answer:

Pls be specific with your question

Identify the constant of proportionality from the table.
х у
2 18
5 45
7
63
8 72
A. 18
B.
C. 9
0 D. 2
< PREVIOUS

Answers

The Correct answer is C (9)

Find the area of a circle having a radius of 9 cm

Answers

Answer:

81 pi cm^2

or approximately 254.34 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (9)^2

A = 81 pi

Using 3.14 as an approximation for pi

A = 81 (3.14)

A =254.34 cm^2

Answer:

81pi cm^2

Step-by-step explanation:

formula : pi*r^2

pi*9^2

pi*81

The value of 33 + 42 = ___.

Numerical Answers Expected!

Answer for Blank 1:

Answers

Answer:

3^3 + 4^2 = 43

Step-by-step explanation:

Please write the numbers like this 3^3 + 4^2 next time

3^3 + 4^2 =

Solve for 3^3

3^3 = 3 • 3 • 3 = 27

Solve for 4^2

4^2 = 4 • 4 = 16

Add 27 and 16

27 + 16 = 43

[tex] \sf Q) \: {3}^{3} + {4}^{2} = {?}[/tex]

[tex] \sf \to \: {3}^{3} + {4}^{2} [/tex]

[tex] \sf \to \: 27 + 16= 43 [/tex]

Thus, the value is 43.

Consider the series ∑n=0∞54n. The sum of a series is defined as the limit of the sequence of partial sums, which means

Answers

(a) The n-th partial sum of the infinite series,

[tex]\displaystyle\sum_{n=0}^\infty\frac5{4^n}[/tex]

is

[tex]S_n = \displaystyle\sum_{k=0}^n\frac5{4^k} = 5\left(1+\frac14+\frac1{4^2}+\cdots+\frac1{4^n}\right)[/tex]

Multiplying both sides by 1/4 gives

[tex]\dfrac14S_n = \displaystyle\sum_{k=0}^n\frac5{4^k} = 5\left(\frac14+\frac1{4^2}+\frac1{4^3}+\cdots+\frac1{4^{n+1}}\right)[/tex]

Subtract this from [tex]S_n[/tex] and solve for [tex]S_n[/tex] :

[tex]S_n-\dfrac14S_n = 5\left(1-\dfrac1{4^{n+1}}\right)[/tex]

[tex]\dfrac34 S_n = 5\left(1-\dfrac1{4^{n+1}}\right)[/tex]

[tex]S_n = \dfrac{20}3\left(1-\dfrac1{4^{n+1}}\right)[/tex]

(your solution is also correct)

(b) The infinite sum is equal to the limit of the n-th partial sum:

[tex]\displaystyle\sum_{n=0}^\infty \frac5{4^n} = \lim_{n\to\infty} \boxed{\sum_{k=0}^n \frac5{4^k}}[/tex]

and the sum indeed converges to 20/3.

Which of the following is the point and slope of the equation y + 14 = 7(x - 18)?

Answers

Answer:

y = 7x - 140

The slope is 7

The y-intersept is -140

= (7, -140)

Step-by-step explanation:

y + 14 = 7(x - 18)

y + 14 = 7x - 126

y =7x - 126 - 14

y = 7x - 140

Choose the graph of y = 2 tan x.

Answers

Answer:

The image shows the graph of y = 2 tan x.

Male Color Blindness When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness (based on data from the National Institutes of Health).X Px0 0.6591 0.2872 0.0503 0.0044 0.0015 0+In determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.

Answers

Answer:

The sum of the probabilities of all possible outcomes is not 1, which means that a probability distribution is not given.

Step-by-step explanation:

We are given these following probabilities:

[tex]P(X = 0) = 0.6591[/tex]

[tex]P(X = 1) = 0.2872[/tex]

[tex]P(X = 2) = 0.0503[/tex]

[tex]P(X = 3) = 0.0044[/tex]

[tex]P(X = 4) = 0.0015[/tex]

Determine whether a probability distribution is given.

We have to see if the sum of the probabilities of all possible outcomes is 1. So

[tex]0.6591 + 0.2872 + 0.0503 + 0.0044 + 0.0015 = 1.0025[/tex]

The sum of the probabilities of all possible outcomes is not 1, which means that a probability distribution is not given.

Identify the coordinates of H' after a 180° rotation about the origin.

Answers

Answer:  (4, -2)  which is choice A

Explanation:

The rule I used is [tex](x,y) \to (-x,-y)[/tex]

Simply swap the sign of each x and y coordinate to go from (-4, 2) to (4, -2)

This rule only works for 180 degree rotations. It doesn't matter if you go clockwise or counterclockwise.

If 2 inches is 50 miles then how many miles is 9.2 inches

Answers

Answer:

Step-by-step explanation:

Answer:

230

Step-by-step explanation:

50: 2

9.2: x

therefore x = 50*9.2 /2 = 230

i think

Which expression is equal to
(3x – 4)(2x – 5)?

Answers

Answer:

6x^2-23x+20

Step-by-step explanation:

i think the expanded form of that equation is equal to it.

(3x-4)(2x-5)

3x(2x-5)-4(2x-5)

6x^2-15x-8x+20

6x^2-23x+20

I hope this helps and sorry if it's wrong

6x^2-23x+20 sorry if it’s wrong I’m not sure

57 117find x triangle ​

Answers

Answer:

60

Step-by-step explanation:

x = 180 - [ 57 + ( 180 - 117 ) ]

= 180 - [ 57 + 63 ]

= 180 - 120

x = 60

The line l with equation x - 2y + 2 = 0 crosses the y-axis at the point P. The line
m with equation 3x + y - 15 = 0 crosses the y-axis at the point Q and intersects
l at the point R. Find the area of triangle PQR.​

Answers

Answer:

Area of ΔPQR is 28 units²

Step-by-step explanation:

-P is the point with coordinates ( 0, y-intercept for line x-2y+2 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point P( 0, b)

x-2y+2 = 0, subtract x and 2 from both sides

-2y = -x-2, divide by -2 both sides

y= (1/2)x +1 so b=1 and P (0, 1)

-Q  is the point with coordinates ( 0, y-intercept for line 3x+y -15 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point Q( 0, b)

3x +y -15 =0, subtract 3x and add 15 to both sides

y= -3x +15 so b=15 and Q(0,15)

-R is the intersection of the two lines so is the solution of the system of equations y= (1/2)x +1 and y= -3x +15

(1/2)x +1 =  -3x +15, add 3x and subtract1

(1/2) x+3x = 15-1, combine like terms

(7/2)x = 14 , multiply both sides by 2

7x = 28, divide both sides by 7

x= 4

y= (1/2)x +1 = (4/2) +1 =3 so R(4,3)

- the area of ΔPQR is (base *height)/2

base= 15-1= 14

height = 4

A= (14*4)/2 = 14*2 = 28

Simplify: 3.5 x 10^-2 + 2.3 x 10^-2

Answers

Given:

The given expression is:

[tex]3.5\times 10^{-2}+2.3\times 10^{-2}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]3.5\times 10^{-2}+2.3\times 10^{-2}[/tex]

It can be written as:

[tex]=(3.5+2.3)\times 10^{-2}[/tex]

[tex]=5.8\times 10^{-2}[/tex]

Therefore, the simplified form of the given expression is [tex]5.8\times 10^{-2}[/tex].

20 slips of paper are put into a bag numbered from 1 to 20. One slip is randomly selected from the bag. We are interested in selecting even numbers. What is the probability of selecting an even number from the bag?

Answers

Answer:

2/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 10 even numbers from 1 to 20

2 4 6 8 10 12 14 16 18 20

There 20 possible choices.

P(Even) = 10 /20 = 1/2

A trough has ends shaped like isosceles triangles, with width 2 m and height 5 m, and the trough is 18 m long. Water is being pumped into the trough at a rate of 8 m3/min. At what rate (in m/min) does the height of the water change when the water is 2 m deep

Answers

9514 1404 393

Answer:

   5/9 m/min

Step-by-step explanation:

The depth of the water is 2/5 of the depth of the trough, so the width of the surface will be 2/5 of the width of the trough:

  2/5 × 2 m = 4/5 m

Then the surface area of the water is ...

  A = LW = (18 m)(4/5 m) = 14.4 m²

The rate of change of height multiplied by the area gives the rate of change of volume:

  8 m³/min = (14.4 m²)(h')

  h' = (8 m³/min)/(14.4 m²) = 5/9 m/min

Find the area of athletic field if it's length is 120cm and its width is 28cm .A. 397.6cm B. 3360cm C. 296 cm D. 4592cm E. 3356cm​

Answers

Answer:

B 3360

Step-by-step explanation:

Area of Rectangle = Length X Width

120 X 28

= 3360 cm

Answered by Gauthmath

Find the slope of the line #67

Answers

Vas happenin
Hope your day is going well
The slope form is y2-y1/x2-x1
So I’m going to use (1,1) (-1,4)
Y2= 4
Y1=1
X2= -1
X1= 1
Then you plug in those equations 4-1/ -1 -1
3/-2 that’s the fraction form
The decimal form is -1.5 this is the slope
Hope this helps *smiles*

Find the range from the ordered pair {(1, 2), (2, 3), (3, 4), (4, 5)}

Answers

Answer:

Range { 2,3,4,5}

Step-by-step explanation:

The range is the output values

Range { 2,3,4,5}

The wholesale price of 6 oz plastic bottles is 6 cents how many plastic bottles can be purchased for $98.41

Answers

Answer:

1640

Step-by-step explanation:

Take the total amount and divide by the amount for one

Make sure to write 6 cent in dollar form (.06)

98.41 / .06

1640.1666

Round down since we need to buy whole bottles

1640

Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.5 years with a standard deviation of 0.7 years. Step 2 of 2 : If a sampling distribution is created using samples of the ages at which 43 children begin reading, what would be the standard deviation of the sampling distribution of sample means

Answers

Answer:

[tex]S.E = 0.108[/tex]

Step-by-step explanation:

From the question we are told that:

Mean age [tex]\=x=5.5[/tex]

standard deviation [tex]\sigma= 0.7 years.[/tex]

Sample size [tex]n=43[/tex]

Generally the equation for Standard error is mathematically given by

[tex]S.E= \sigma \bar x[/tex]

[tex]S.E= \frac{\sigma}{\sqrt n}[/tex]

[tex]S.E= \frac{0.7}{\sqrt 43}[/tex]

[tex]S.E = 0.108[/tex]

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