For the function f(x) = 6x + 9, find the value of x.so that f(x) = 3.

9514 1404 393

Answer:

  2(x -2) = 5

Step-by-step explanation:

If x represents the number, then the difference of the number and 2 is ...

  x -2

Twice the difference is ...

  2(x -2)

"equals 5" means that product is equal to 5. The appropriate equation is ...

  2(x -2) = 5

_____

In case you want a solution ...

Dividing by 2, we get ...

  x -2 = 5/2

Adding 2 gives the value of the number:

  x = 2 +5/2 = 9/2

  x = 4 1/2

The number is 4 1/2.

Step-by-step explanation:

Use Newton's second law.  Force equals mass times acceleration.

F = ma

300 N = (100 kg) a

a = 3 m/s²

Answer:

(x + 11y)(x - 4y)

Step-by-step explanation:

-44 = 11*(-4)

11 + (-4) = 7

so x² + 7xy - 44y² = (x + 11y)(x - 4y)

Answer:

37.68 centimeters

Step-by-step explanation:

The circumference of a circle can be found by using the formula πd, where d = diameter. We're given the diameter as 12 centimeters, and we're going to use 3.14 for pi.

3.14 × 12

37.68

Therefore, the answer is 37.68 cm.

Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)

Answer:

[tex]\frac{2\pi}{3}, \: \: \frac{5\pi}{3}[/tex]

Step-by-step explanation:

[tex] \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{3\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{2\pi}{3} \bigg)\\ \\\implies \huge \red{\theta = \frac{2\pi}{3}} \\ \\ \\ \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(2\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{6\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{5\pi}{3} \bigg)\\ \\\implies \huge \orange{\theta = \frac{5\pi}{3}} \\ \\ \huge \: \purple { \boxed { \bold\theta = \frac{2\pi}{3}, \: \: \frac{5\pi}{3} }}[/tex]

Answer:

85

Step-by-step explanation:

Because 170 divided by 2.

The number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.

Let x be the total number of miles:

From the question:

y be the total cost of hiring

y = 20 + 2x

y = 170

170 = 20 + 2x

150 = 2x

x = 150/2

x = 75 miles

Thus, the number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.

Learn more about the linear equation here:

brainly.com/question/11897796

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Answer:

1078

Step-by-step explanation:

Answer:

-6/5

Step-by-step explanation:

Get y by itself to get the slope. So 18x+15y=90. Move 18x to the other side of the equation. Now you have 15y=-18x+90. Divide both sides by 15 to get y by itself. Now it's y= -18/15x + 6. Reduce -18/15 to the simplest fraction. You have y= -6/5x+6. Any number can replace the 6 in the equation to give you a parallel line...it's the slope that makes it parallel, not the y intercept. So y= -6/5x+10 or y=- -6/5x-1 would satisfy your parallel slope equation.

Answer:

[tex]\displaystyle -1\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\displaystyle 18x + 15y = 90 \hookrightarrow \frac{15y}{15} = \frac{-18x + 90}{15} \\ \\ \boxed{y = -1\frac{1}{5}x + 6}[/tex]

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so −1⅕ remains as is.

I am joyous to assist you at any time.

Answer:

[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]

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

Explanation:

We're tasked to find the values of a,b,c,d in the following

[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]

The equation of the line through the points (0,15) and (5,0) is y = -3x+15

When picking a particular fixed x value, the y values span from y = 0 to y = -3x+15 which determines the bounds of integration for the inner integral.

So this means c = 0 and d = -3x+15

The values of a,b are much easier and they are a = 0 and b = 5 to represent the x coordinates of the left-most and right-most points.

-----------------

Since,

we go from this

[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]

to this

[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]

Without knowing what f(x,y) is, we cannot compute the integral. Luckily it seems like your teacher is only interested in setting up the integral rather than computing its numeric value.

9514 1404 393

Answer:

  95%

Step-by-step explanation:

The given limits differ from the mean by ...

  1.30 -1.50 = -0.20

  1.70 -1.50 = 0.20

These values are 2 × the standard deviation of 0.10. The 68-95-99.7 rule tells you that 95% of the population lies within 2 standard deviations of the mean.

For this question, that means 95% of customers are willing to pay between $1.30 and $1.70.

Answer:

ok whats the problem

Step-by-step explanation:

Step-by-step explanation:

um were is the question

[tex]x + 105 + 113 + 75 = 360[/tex]

[tex]x + 293 = 360[/tex]

[tex]x = 360 - 293[/tex]

[tex]x = 67[/tex]

As we know that, for any shape with sides n, the sum of all it's interior angles is (n - 2) × 180°, so as the Shape ABCD is a quadrilateral with 4 sides, so sum of it's all interior angles is just going to be (4 - 2) × 180° = 2 × 180° = 360°, so if we assume the missing angle be [tex]\bf \angle A[/tex], by using the sum property we will be having ;

[tex]{:\implies \quad \sf \angle A+105{\degree}+113{\degree}+75{\degree}=360{\degree}}[/tex]

[tex]{:\implies \quad \sf \angle A+293{\degree}=360{\degree}}[/tex]

[tex]{:\implies \quad \sf \angle A=360{\degree}-293{\degree}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\angle A=67{\degree}}}}[/tex]

Answer:

[tex]y=-\frac{7}{4}x^2+7x-3\\[/tex]

Step-by-step explanation:

y - 4 = C(x - 2)²

y-intercept = -3, so x = 0, y = -3

-3 - 4 = C(2)²

so C = -7/4

[tex]y = -\frac{7}{4}(x-2)^2+4=-\frac{7}{4}(x^2-4x+4)+4=-\frac{7}{4}x^2+7x-7+4\\y=-\frac{7}{4}x^2+7x-3\\[/tex]

✨Answer:✨

-6 3/16

✨Step-by-step explanation:✨

-5 1/2 x -1 1/8 = ?

Convert mixed numbers into improper fractions

-11/2 x -9/8 = -99/16 = -6 3/16

Answer:

D.)

Step-by-step explanation:

Answer:

$21.25

Step-by-step explanation:

x - x(0.20) = 17

0.8x = 17

x = 21.25

Answer:

32%

Step-by-step explanation:

too lazy to type it out.

Answer:

32%.

Step-by-step explanation:

Value in 2019 = 800 + 10% of 800

= 800 + 0.1*800

=  $880.

In 2020 , value

=  880 + 0.2*880

=  $1056.

Increase in value over 2 years = 1056 - 800 = $256.

% increase = 100 * 256/800

= 32%.

Answer:

A)Mean :10.65

Median =10.7

Mode : 10.7

B)Range = 3.5

Standard deviation :0.89916

C)The response time of 8.3 minutes should be considered an outlier in comparison to the other response times

Step-by-step explanation:

A)

Data : 11.8 ,10.3, 10.7, 10.6, 11.5, 8.3, 10.5, 10.9, 10.7, 11.2

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{11.8 +10.3+ 10.7+ 10.6+ 11.5+ 8.3+ 10.5+ 10.9+ 10.7+ 11.2}{10}[/tex]

Mean = 10.65

Median: The mid value of the data

Data in ascending order

8.3

10.3

10.5

10.6

10.7

10.7

10.9

11.2

11.5

11.8

n=10(even)

[tex]Median = \frac{(\frac{n}{2})\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}\\Median = \frac{(\frac{10}{2})\text{th term}+(\frac{10}{2}+1)\text{th term}}{2}\\Median = \frac{10.7+10.7}{2}\\Median = 10.7[/tex]

Mode : the most occurring frequency

10.7 is occurring twice while others are occurring once

So, Mode is 10.7

B) Range = Maximum - Minimum=11.8-8.3=3.5

Standard deviation : [tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}[/tex]

Standard deviation :[tex]\sqrt{\frac{(11.8-10.65)^2+(10.3-10.65)^2+......+(10.9-10.65)^2+(10.7-10.65)^2+(11.2-10.65)^2}{10}}[/tex]

Standard deviation :0.89916

C)

8.3

,10.3

,10.5

,10.6

,10.7

,10.7

,10.9

,11.2

,11.5

,11.8

For Q1 ( Median of lower quartile )

8.3

,10.3

,10.5

,10.6

,10.7

[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=10.5[/tex]

For Q3( Median of Upper quartile )

10.7

,10.9

,11.2

,11.5

,11.8

[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=11.2[/tex]

IQR = Q3-Q1=11.2-10.5=0.7

Range :(Q1-1.5IQR, Q3-1.5IQR)

Range :[tex](10.5-1.5 \times 0.7, 11.2-1.5 \times 0.7)[/tex]

Range :(9.45, 10.15)

8.3 does not lie in this interval

So, the response time of 8.3 minutes should be considered an outlier in comparison to the other response times

Answer:

(y - 9) = 7/4(x + 7)

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope slopes.

The first line is 7x - 4y - 9 = 0.

First let's convert this to y = mx + b form.

Add 4y to both sides.

Divide each term by 4.

The slope is 7/4. A line parallel to this one will also have a slope of 7/4.

The standard point-slope form is:

For the point-slope form, you need two things: a point and a slope.

Plug in our given information.

Simplify.

Learn with another example.

https://brainly.com/question/26681302

Hope this helps!

Let's consider the information given:

What do we want to solve: put the equation of the line in point-slope form

 ⇒ point-slope form ⇒ [tex]y-y_{0}=m(x-x_{0} )[/tex]

              ⇒ first put it into slope-intercept form [tex]y = mx +b[/tex]

                         -where m is the slope and b is the y-intercept

                                 [tex]7x-4y-9=0\\7x-4y=9\\-4y=-7x+9\\y=\frac{7}{4}x-\frac{9}{4}[/tex]

               ⇒ Slope is 7/4

     2. When two lines are parallel, their two slopes are equal, and since

         the line passes through (-7,9), use point-slope form

                [tex]y-9=\frac{7}{4}(x+7)[/tex] <== point-slope form

What do we also want: find the general form ⇒ Ax + By = C

               [tex]y-9=\frac{7}{4}(x+7)\\ y-9=\frac{7}{4}x+\frac{49}{4} \\-\frac{7}{4}x+y=9+\frac{49}{4} =\frac{36}{4} +\frac{49}{4} =\frac{85}{4} \\-\frac{7}{4}x+y=\frac{85}{4}[/tex]<== general form

Hope that helps!

paraboloid: v = ∫[0,4]πz dz = 8π cone:

v = ∫[0,4]πz^2 dz = 64/3 π

hyperboloid: v = ∫[1,5]π(z^2-1) dz = 112/3 π

 when you see that the cone's radius at the top of the water is √8, while the paraboloid's is only 2.

hope it helps.

Step-by-step explanation:

the answer is in the picture

Answer:

2(L ×W) +2(L×H)+2(W×H)

Step-by-step explanation:

find the answer of that

Answer:

180 cm 2

Step-by-step explaination:

2 ( lxw) + 2(lxh) + 2(wxh)

40 + 40 + 100

180

Answer:

-4

Step-by-step explanation:

First we combat the 10 - 16 so we get - 6

Then we fight the -6 and the 2 to get -4

The value of this fight was -4 :)

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!!

Answer:

Rational

Step-by-step explanation:

It can be represented as a fraction.

332/5625

0.0590222222222222... is a rational number.

We have,

0.0590222222222222.......

We need to determine whether this number is rational or irrational.

A rational number is a number that can be written in p/q form where q≠0.

Some rational numbers are terminating.

Example: 45/2 = 22.5

Some rational numbers are recurring numbers.

Example: 556/3 = 185.33333333333...

The irrational number are those numbers that are non-terminating and non-recurring.

Example: 22/7 = 3.14285714285.....

We have,

0.0590222222222222......

Where 2 is recurring.

So it is a rational number.

Thus 0.0590222222222222... is a rational number.

Learn more about rational and irrational numbers here:https://brainly.com/question/17450097

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Step-by-step explanation:

mother salary: x

father salary:2x

total salary =27000

therefore 3x=27000

so x=900 (divided by 3)

therefore mother salary = 900

father salary=2multiplied by 900=1800

Answer:

Father's monthly salary is P18,000

Mother's monthly salary is P9,000

Step-by-step explanation:

The problem above can be solved by using "algebraic expressions."

Let x be the father's monthly salary

Let y be mother's monthly salary

Formula: x + y = P27,000

If father's monthly salary is twice than what mother makes, then: x = 2y, which means,

2y (father's salary) + y (mother's salary) = P27,000

First step: 2y + y = P27,000

Second step: 3y = P27,000

Third step: y = [tex]\frac{P27,000}{3}[/tex]

Fourth step: y = P9,000

So, mother's salary is P9,000. This means we can get father's salary:

2y = 2 × P9,000 = P18,000 (this is the value of x)

So, father's salary is P18,000.

If we combine both of their salaries, the product is P27,000.

x + y = P27,000

P18,000 + P9,000 = P27,000

So, this explains the answer.

Answer:

 I answered the stupid question and you deleted it  

Step-by-step explanation: