f(x)=10-9/2x
if f(x)=-53x find x

Answers

Answer 1

Answer:

x = -20/97

Step-by-step explanation:

f(x) = -53x is your output

so -53x = 10-9/2x

-53x - 10 = -9/2x

lets clear the fraction by multiplying each side by 2

-106x - 20 = -9x

-97x = 20

x = -20/97

Answer 2

When f(x) is equal to -53x, the value of x is approximately -0.2062. To find the value of x when f(x) is equal to -53x, we can set the two expressions equal to each other and solve for x:

Given: f(x) = 10 - (9/2)x , And: f(x) = -53x

Setting them equal to each other: 10 - (9/2)x = -53x

To solve for x, let's first get rid of the fraction. We can do this by multiplying the entire equation by 2: 2 * (10 - (9/2)x) = 2 * (-53x)

20 - 9x = -106x

Now, let's isolate the variable x on one side of the equation. Let's move the -9x term to the other side by adding 9x to both sides:

20 - 9x + 9x = -106x + 9x

20 = -97x

Finally, to find x, divide both sides by -97: x = 20 / -97

x ≈ -0.2062 (rounded to 4 decimal places)

So, when f(x) is equal to -53x, the value of x is approximately -0.2062.

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Related Questions

Show that x is not the factor of 2x*3-x*2-2x+1

Answers

Answer:

See explanation

Step-by-step explanation:

If we have a polynomial in x with x as a factor, we know that there will be no constant term. This arises because every term will be a multiple of x, and thus there will be know constant term.

Because there is a constant term in our polynomial, namely 1, x is not a factor of [tex]2x^3-x^2-2x+1[/tex], as desired.

Answer: You divide using polynomial long division or synthetic division and if the remainder is 0 then it is a factor.

Step-by-step explanation:

please help me with this sum​

Answers

answer:

1) 271

2) 151

3) 169

4) 62

5) 90

He’s right I checked every problem copying them!

Mandy is making a bouqet of flowers. She goes to a flower shop and finds 3 types of rose, 2 types of peony, 3 types of lily and 5 types of carnation. She only wants to buy 2 flowers. How many possible flower combinations can she choose from?​

Answers

Answer:

Mandy is making a bouqet of flowers. She goes to

Answer:

possible flower combinations can she choose from?

Step-by-step explanation:

possible flower combinations can she choose from?

Calculus, derivatives. Please help! Show work, if possible. Thanks! :)

Answers

Answer:

y=-x+pi/3+sqrt(3)/2

Step-by-step explanation:

*I assume you are asking for help on part a because the other question is a calculator question.*

We want to find tangent line to y=2sin(x)cos(x) at x=pi/3.

First I prefer to use y=sin(2x). (Double angle identity: sin(2x)=2sin(x)cos(x) .)

Differentiate using chain rule:

y'=2cos(2x)

y' gives us the slope for any tangent along our curve.

So at x=pi/3, the slope is 2cos(2×pi/3)=2cos(2pi/3)=2(-1/2)=-1.

We also need to know a point our line to find the equation of our line.

At x=pi/3, y=sin(2×pi/3)=sin(2pi/3)=sqrt(3)/2.

So a point on our line is (pi/3, sqrt(3)/2).

So by point-slope form of a line we have

y-y1=m(x-x1)

y-sqrt(3)/2=-1(x-pi/3)

Distribute:

y-sqrt(3)/2=-x+pi/3

Add sqrt(3)/2 on both sides:

y=-x+pi/3+sqrt(3)/2

Answer:

y= -x+(pi/3)+(sqrt3)/2

Step-by-step explanation:

The given is y=2sin(x)*cos(x)

to take the derivative we will need to use the constant rule (which says when taking the derivative of any constant multiplied by an expression you take the derivative of the function and multiply it by the constant) and the multiplication rule to get

y'=2(sin(x)*-sin(x)+cos(x)*cos(x))

this would simplify to be

y'=-2sin^2(x)+2cos^2(x)

We then substitute in the given x value to find the slope of the tangent line at that point and get

-2sin^2(pi/3)+2cos^2(pi/3)

which simplifies to

-2*3/4+2*1/4

which is -1

Since we have the slope we need to find the y value to go with the original x so that we have a point to use in point slope form. When we substitute pi/3 into the given equation we get (sqrt 3)/2 and have the point (pi/3, sqrt3/2)

now we write the point slope form equation

y-(sqrt3)/2= -(x-pi/3)

y-(sqrt 3)/2 = -x+pi/3

y= -x+pi/3+(sqrt3)/2

you could simplify the last two terms, but I think it is simplest to understand this way.

For b, enter both equations into graphing software or a calculator

How are x and y related in the equation 7 (x - y) = 0?
O = -Y
O x=y
O 7x = y
O 7x = -Y

Answers

b is the correct answer, i believe

A line passes through (-2,4), (-4, 8), and (n, -4). Find the value of n.

Answers

Answer: n = 2 ....... (2, -4)

Step-by-step explanation:

To find n, one must write the equation for the points given, which are (-2, 4) and (-4, 8). Remember, the standard linear equation is y = mx + b, where m is the slope of the line.

To find the slope, refer back to (y2-y1)/(x2-x1), or in this case, (8-4)/(-4+2), which gives us -2

With our slope of -2, we can write the equation as y = -2x+b. Now, we need to find b (the y-intercept) by plugging in a point as (x,y)

Let's use (-4,8) point and plug it into our linear equation: y = -2x+b

to get 8=(-2)(-4) +b

8=8+b

0=b (which means our y-intercept is 0)

Now, our official linear equation is y=-2x

The problem gives us (n, -4) where -4 y, so we plug in -4 as y in the equation to get:

-4=-2x

-4/-2=x

2 = x

And there we go :) I hope this helps!

Answer:

The value of n =  2.

Step-by-step explanation:

Given the following points passing through a line, (-2, 4), (-4, 8), and (n , -4) wherein we must find the value of n:

It helps to determine the equation of the line, using the slope-intercept form: y = mx + b, where:

m = slope (rate of change), which measures the steepness of the line.b = y-coordinate of the y-intercept; it is the point on the graph where it crosses the y-axis.

Slope:

In order to solve for the slope of the line, use the following slope formula:

[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

Let (x₁, y₁) = (-2, 4)

     (x₂, y₂) = (-4, 8)

Substitute these values into the slope formula.

[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

[tex]\displaystyle\mathsf{m =\:\frac{8 - 4}{-4 -(-2)}\:=\:\frac{4}{-4+2}\:=\Frac{4}{-2}\:=\:-2}[/tex]

Hence, the slope of the line is: m = -2.

Y-intercept:

Next, we must solve for the y-intercept.  Since it is the point where the graph crosses the y-axis, set x = 0 and solve for the value of y.  

Use the slope, m = -2, and one of the given points, (-2, 4), and substitute these values into the slope-intercept form to solve for the value of the y-intercept, b:

y = mx + b

4 = -2(-2) + b

4 = 4 + b

Subtract 4 from both sides:

4 - 4 = 4 - 4 + b

0  = b

The y-intercept is: b = 0.

Linear Equation in Slope-intercept Form:

Therefore, the equation of the line in slope-intercept form is:

y = -2x + 0 or y = -2x.

Find the value of n in (n, -4)

In order to determine the value of n, substitute its corresponding y-coordinate, -4, and substitute into the equation in the previous step:

Set y = -4:

y = -2x

-4 = -2x

Divide both sides by -2 to solve for x:

[tex]\displaystyle\mathsf{\frac{-4}{-2}\:=\:\frac{-2x}{-2}}[/tex]

x = 2

Therefore, the value of n = 2.

Check
Curtis deposits $550 into a savings account. The account pays 175%
simple interest on an annual basis. If he does not add or withdraw
money from the account, how much interest will he earn after
3 years?

Answers

Answer:

2,887.50

Step-by-step explanation:

First changing percent to decimal 175% - 1.75

I = 550 × 1.75 × 3 = 2,887.50

If it is 175% the answer is $2,887.50. If it is 1.75% simple interest, Curtis will earn $9.63

(2t)^3 x (3t)^2 is what

Answers

Answer:

(23•32t5x)

Step-by-step explanation:

STEP1:

Equation at the end of step1:

(((2t)3) • x) • 32t2

STEP2:

Equation at the end of step2:

(23t3 • x) • 32t2

STEP3:

Multiplying exponential expressions :

 3.1    t3 multiplied by t2 = t(3 + 2) = t5

Final result :

(23•32t5x)

8) Cashews cost $8.90 per pound. If Austin buys 2.45 pounds of cashews, what is the total cost?
Round to the nearest.cent.
$

Answers

Answer:

9.00 and 2.00

Step-by-step explanation:

8.90 rounds to  9.00 because 8.90 is more than more then 0.50 so it makes the cents round to the nearest cent. 2.45 round to 2.00 because 2.45 is less than 0.50

PLEASE HELP look at this screenshot is it a, b, c, or d

Answers

Answer:

D.

Step-by-step explanation:

how to find slope of (-7,3) and (5,6)

Answers

Answer:

The slope is 1/4

Step-by-step explanation:

y2-y1 6-3 3 1

m= —— = —— = —— = ——

x2-x1 5+7 12 4

What is the slope of the line y=-4

Answers

Answer:

The slope is zero

Step-by-step explanation:

y = -4 is a horizontal line

Horizontal lines have a slope of zero

Hello there! The line y=-4 is a horizontal line and the slope of horizontal lines is 0.

Why? Because we calculate the slope using the formula Rise/Run. The rise is 0 (how many units we go up) so no matter what the run is, if we divide 0 by any number, we will get 0 100%.

Hope this helps you!

~Just a joyful teen

[tex]SilentNature :)[/tex]

The shape to the left shows an unfolded cube if the cube is folded and rolled what are all the possible outcomes are they all equally likely?

PLZ HELP

Answers

Answer:a

Step-by-step explanation:

A

Lisa and Molly were digging holes in the sand at the beach to build their sandcastles. Lisa dug an 11 foot hole and Molly dug a 14 foot hole. Find the difference in depth.

Answers

the difference in depth is 3 feet, you can find this by the equation 14-11

Shane rare book collection contains 40 books. He donates 20% of his books to the national libary. he sells 1/4 of his books to a rare book dealer. the remaining he sells online. how many books did he sell online? NO LINKS!
A:8
B:10
C:18
D: 22

Answers

Hopefully this could help you

look at the table in the problem 4 alex drove a distince between 2 cities in the table.he said that he drove about 2,000 miles.Which cites could Alex have driven between show ur work.Iready math book grade 4

Answers

The cities Alex could have drove between whose distance is about 2000 miles when rounded to the nearest thousand are : Chicago to San Francisco and Atlanta to Los Angeles

From the table attached which shows the distance in miles between two cities in the United States :

Distance between Chicago to San Francisco = 2131

Distance between Atlanta to Los Angeles = 2173

Only the distances between these two cities would give a value of 2000 miles when rounded to the nearest thousand mile

The other distances in the table will round to 1000 miles when rounded to the nearest thousand mile.

Learn more :https://brainly.com/question/18109354

3/4 divided 2/5
Let me know as fast as possible

Answers

Answer:

1 7/8

Step-by-step explanation:

I will give brainliest to the right answers
please help

Answers

Answer:

C

Step-by-step explanation:

List all the positive even numbers less than 10:

Answers

All the positive even numbers less than ten are:

2,4,6,8

What is 33.61111111 in fraction form

Answers

The correct answer is:   " [tex]\frac{33,611}{1,000}[/tex] " .

____________________

Step-by-step explanation:

Based on the assumption that the "1" repeats infinitely; in the given value:

  " 33.61111111 ...." ;

_______

Note that the "611" ; after the decimal point;  this goes to the "thousandths";  

place (is "3 (three) digits long.").

_______

As such; we rewrite the number as:

_______

" [tex]\frac{33.611}{1}[/tex] " ;  

and we multiply BOTH the "numerator" And the "denominator" by: "1000" :

_______

  →  " [tex]\frac{(33.611)*(1000)}{(1)*(1000)}[/tex] " ;

to get:

  →  " [tex]\frac{33611}{1000}[/tex] " ;  →  which cannot be reduced any further.

_______

The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .

_______

Hope this is helpful to you!

 Wishing you the best!

_______

Marjorie needs to cut 5 yards of fabric into sections that are of a yard long. How many sections will she be able to cut from the fabric?

Answers

Answer:

5 sections

Step-by-step explanation:

5 yards of fabric is cut in 1 yard long

1 yard +1 yard +1 yard +1 yard +1 yard = 5 yards

5 sections

Estimate to decide if the sum of 314+175 is more or less than 600?

Answers

Answer:

less than

Step-by-step explanation:

314+175= 489 round that it would be 500 so it would be less than 600

Please mark me brainliest

Hello there!

The sum of 314 and 175 = 489.

If we round it, we will get 500.

500 is less than 600.

So the sum of 314+175 is less than 600.

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Solve T=2x + 3y - z for y.

Answers

Answer:

[tex]\frac{T+z-2x}{3}[/tex]=y

Step-by-step explanation:

On solving for y we get -

[tex]$y=\frac{T-2x+z}{3}[/tex]

We have the following expression -

T = 2x + 3y - z

We have to solve for ' y '.

Solve for x :  Sin([tex]2n\pi x[/tex]) = 0.785 .

On solving, we get -

Sin([tex]2n\pi x[/tex]) = 0.785

Sin([tex]2n\pi x[/tex]) = Sin ([tex]\frac{\pi }{4}[/tex])

2n[tex]\pi[/tex]x = [tex]\frac{\pi }{4}[/tex]

x = [tex]\frac{1}{8n}[/tex]

According to the question, we have -

T = 2x + 3y - z

T - 2x + z = 3y

[tex]$y=\frac{T-2x+z}{3}[/tex]

Hence, on solving for y we get -

[tex]$y=\frac{T-2x+z}{3}[/tex]

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hyun is on a game show. points are added for the correct answer and subtracted for incorrect answers. at the end of the second round he has five points and the third round he loses 5 points how many points does hyun have after the third round ?show your work​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The number of points at the end of second round is :

5 points

and if he loses all the 5 five points in the third round then the number of point he is left with is :

5 - 5

0 points

The image of point (−3, 5) under translation T is (6, -8). What is the image of point (4, 7) under the same translation?

Answers

Answer:

(13,-6)

Step-by-step explanation:

If you are at (-3,5) and you translate T to give you (6,-8), that means you translated (9,-13) because you moved right 9 units in the positive x direction and down 13 units in the negative y direction.

Apply this translation T to (4,7) and you get (13,-6).

Answer:

(13,  -6)

Step-by-step explanation:

Firstly, we need to find the translation. This can be achieved by calculating the amount the x and y coordinate shifts. Simply use the following equation:

[tex](x2 - x1, y2 - y1)[/tex]

Where x1 and y1 are the coordinates of the first set and x2 and y2 are the second. Plug the variables in:

[tex](6 - (-3), -8 - 5)\\(9, -13)[/tex]

So the x coordinate is shifted 9 positively and the y coordinate is shifted 13 negatively.

To calculate the new translation of the new point, add the translation onto the given coordinates:

[tex]( 4 + 9, 7 + (-13) )\\(13, -6)[/tex]

So the new point is (13,  -6).

Hope this helps!

The ratio of boys to girls in a group is 7:3 There are 60 more boys than girls. Work out how many girls are there? ​

Answers

Answer:

45 girls

Step-by-step explanation:

There is 4 more boys than girls in each ratio.

60 boys / 4 = 15 groups where there is more boys

3 (girls) x 15 groups = 45 girls in total

help plz help

send photo


plz​

Answers

Answer:

See below

Step-by-step explanation:

9 a)

8 + 3/4 = 8.75 cm

b)

10 + 5 + 3 = 18 kg

c)

1 + 1/5 = 1.2 l

10 a)

65 - 1 = 64 cm

b)

100 + 100 * 2.5/4 = 162.5 ml

c)

20 + 4.2 = 24.2° C

compare the expressions
3 X 10 and 15 x 20 without multiplying them. Explain how she
could compare the factors to compare the expressions without
multiplying them.

Answers

Answer:

yes

Step-by-step explanation:

Well 3 is a factor of 15, and 10 a factor of 20. So 15/3 is 5, and 20/10 is 2.

5*2 is 10, which means that 15*20 is 10 times greater than 3*10.

If you actually did multiply them, 15 by 20 is 300 and 3 by 10 is 30. It would logically be correct.

CORRECT ANDWER GETS BRAINEST! CORRECT ANSWER GETS BRAINEST

Answers

Answer:

[tex] - 3 \times \frac{3}{7 } [/tex]

Which pairs of rectangles are similar polygons?

Select each correct answer.

Answers

Similar polygons will have proportional side lengths. So, let's check each of these using proportions and cross-multiplying.

Proportion: left rectangle length / left rectangle width = right rectangle length / right rectangle width

Top Left Rectangles: Proportional

6.4 / 5.6 = 1.6 / 1.4

8.96 = 8.96

Top Right Rectangles: Not Proportional

10.2 / 6.2 = 5.2 / 1.2

32.24 does not equal 12.24

Bottom Left Rectangles: Proportional

39 / 27 = 13 / 9

351 = 351

Bottom Right Rectangles: Not Proportional

64 / 36 = 8 / 6

288 does not equal 384

Hope this helps!! :)

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