If f(x) = 3x +9 x when f(x) = 30

Answers

Answer 1

Answer:

[tex]x=5/2[/tex]

Step-by-step explanation:

When [tex]f(x)=30[/tex], we have [tex]3x+9x=30[/tex].

Combining like terms on the right side, we have [tex]12x=30[/tex].

Finally, dividing by [tex]12[/tex] we get [tex]x=30/12[/tex].

We note that [tex]30=6*5[/tex] and [tex]12=6*2[/tex], so [tex]30/12=5/2[/tex].

So, [tex]\boxed{x=5/2}[/tex] and we're done!


Related Questions

Juan is going to invest $1,700 and leave it in an account for 14 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Juan to end up with $3,700?

Answers

Answer:

5.6  percent

Step-by-step explanation:

because

A carpet store advertises 16 yards of carpeting for $300, which includes the $60 installation fee in the price. Let x represents the cost of one square yard of carpet. What is the price for one square yard of carpet?

Answers

Answer:one yard costs $15 (x=15)

Step-by-step explanation:

300-60=240. So, 16 yards=$240

16x=240

240/16=15

X=15 (one yard costs $15)

The price for  one square yard of carpet is $15.

Given that,

A carpet store advertises 16 yards of carpeting for $300, which includes the $60 installation fee in the price. Let x represents the cost of one square yard of carpet.  

Based on the above information, the calculation is as follows:

[tex]= (\$300 - \$60) \div 16[/tex]

= $15

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What is the slope of the line?

A. 0
B. 1
C. 5
D. Undefined ​

Answers

Answer:

D undefined

Step-by-step explanation:

If the area of a rectangular pool is represented by (12x×x)-17x-5, the length could be represented by ... A.(3x+1) B.(3x+5) C.(4x-5) D.(4x+1)

Answers

Answer:

D.(4x+1)

Step-by-step explanation:

The area of the rectangular pool is given by

Area = length * breadth

Area = (12x×x)-17x-5

A= 12x²- 17x- 5

Factorising the quadratic equation by mid term break rule.

A= 12x²- 20x + 3x- 5    

( when we multiply 12 and -5 we get -60 . We need two numbers which when added give -17 and when multiplied give -60. The two numbers would be -20 and +3. The minus has to be with the bigger number as we need - 17.)

A = 4x( 3x- 5) + 1( 3x-5)

(taking commons will evaluate it further.)

A= (3x-5) (4x+1)

so the length could either be 3x-5 or 4x+1

From the given options we have

4x+1 as the length because the rest do not match the factors obtained.

For the figure below find BC to the nearest whole number CD=15

Answers

Answer:

BC = 3

Step-by-step explanation:

The length of the side BC is 3 units.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The right triangle is shown in the figure.

Let the distance BC be x and

The side AB be y.

According to trigonometric ratios,

[tex]tan \theta=\frac{opposite}{adjacent}[/tex]

Consider Δ ABD,

⇒ [tex]tan (20) = \frac{y}{x+15}[/tex]

⇒ [tex]0.3639=\frac{y}{x+15}[/tex]

⇒ [tex]y=0.3639(x+15)[/tex] -------- (1)

Now consider Δ ABC,

⇒ [tex]tan(65)=\frac{y}{x}[/tex]

⇒ [tex]2.144=\frac{y}{x}[/tex]

⇒ [tex]y=2.144x[/tex] --------- (2)

From equation 1 and 2,

⇒ [tex]2.144x=0.3639(x+15)[/tex]

⇒ [tex]2.144x=0.3639x+5.4585[/tex]

⇒ [tex]1.7801x=5.4585[/tex]

⇒ [tex]x=\frac{5.4585}{1.7801}[/tex]

⇒ [tex]x=3.06[/tex] ≈ [tex]3[/tex]

Hence we can conclude that the length of the side BC is 3 units.

Learn more about trigonometry here

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what polynomial is −6+x^4−x^2??? is it cubic, linear, quartic, quadratic, or quintic??

Answers

Answer:

To put the expression in the standard form for a polynomial we need to multiply the two terms. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

Step-by-step explanation:

If the signal had four circular lights, each having the same diameter, what would the total area of all four lights be?

Answers

Answer:

The answer is "[tex]153.86 \ in^2[/tex]"

Step-by-step explanation:

The circular light which fits around rather than is sufficiently large for fire a camera is indeed a ring light. The ring light provides light with very little darkness, as the bright light is very close to a lens's vertical system. It's also usually called glamour or brightness of beauty.

Let's Each light surface area has [tex]38.465\ in^2[/tex].

Therefore, the total area of four lights is [tex]38.465 \times 4= 153.86\ in^2[/tex].

How many minutes are there in 12.5 hours?

Answers

Answer:

750 minutes

Step-by-step explanation:

Answer:

750 minutes would be your answer

Step-by-step explanation:

HELP!! Multiply and simplify and express as a mixed number


12 x 3/8
no links or files

Answers

Answer: 4 and 1/2

Step-by-step explanation: Ok so 12 is a whole number so to turn it into a fraction put it over one as in 12/1.

Then just multiply 12/1 x 3/8 which equals 36/8 But we aren't done!

now we must calculate how many times 8 goes into 36 without going over 36 which is 4. 8 times 4 is 32 so we have 4 leftover. Now writing this as a fraction is 4   4/8. 4 is the whole number and that 4 represents 8 going tinto 36 4 times like we just demonstrated. since 36-32 is 4 thats how you get a 4/8 as your fraction.

Then you just simplify your fraction and 4  4/8 turns into just 4   1/2.

I really hope I explained this well and you understand it! :)

I need help with this question

Answers

Answer:

2n=12

Step-by-step explanation:

The next step would be to subtract four from each side getting 2n=12 or B

The product of 0.008 and 10,000,000 is 80,000 because the decimal point in 0.008 moves (how many?) places to the right. A 5. B 6. C 7. D 8.

Answers

the answer is 7

hope this helps

Help need answer rn.

Answers

Answer:

The 3rd one

Step-by-step explanation:

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

Given tan⁡ θ = 7/24, and ⁡θ terminates in Quadrant III, determine the value of cos⁡ θ.

Answers

Answer:

-24/25

Step-by-step explanation:

Because it is in quadrant 3, cosine is negative. Hypotenuse=25, Adj=-24, Opp, -7. Cos=Adj/Hyp. -24/25

It is Given that tan⁡ θ = 7/24, and ⁡θ terminates in Quadrant III, Thus the value of cos⁡ θ is -24/25.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Given tan⁡ θ = 7/24, and ⁡θ terminates in Quadrant III,

we want to determine the value of cos⁡ θ.

Because it is in quadrant 3, cosine is negative.

Hypotenuse = 25, Adjcent = -24, Opposite = -7.

Cos θ = Adjcent /Hypotenuse .

        =  -24/25

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HELP NEEDED!!! 20 POINTS FOR A ANSWER AND EXPLANATION ON QUESTION #2! I cant figure this out help me please

Answers

Step-by-step explanation:

Start at the orgin.

The y intercept in the equation is -1 so I would shift 1 unit down to the orgin at (0,-1)

Then at the point, since the slope is -4. I would go down -4 units then go over 1 unit to the right.. So the next point would be (1,-5) then so on and so on.

You can check if your graph is correct by writing out specific points on the linear equation and making sure there slope is equal to -4.

Whats the slope using Rise/Run?
Thanks

Answers

Answer: 1/4

Step-by-step explanation: Use (y2-y1)/(x2-x1) to find slope. The points are (-1, 1) and (-5, 0). (0 - 1)/(-5+1)= -1/-4 = 1/4

Hope this helps!

NEED ASAP PLEASE HURRY

What is the length of segment AC?

Answers

Answer:

8 units

Step-by-step explanation:

Step-by-step explanation:

[tex]C = ( - 6,5) \: and \:A = (3, - 1) \\ length \: AC = \sqrt{ {(x _{2} - x _{1}) }^{2} + {(y _{2} - y _{1})}^{2} } \\ AC = \sqrt{ {(3 - ( - 6))}^{2} + {( - 1 - 6)}^{2} } \\ AC = \sqrt{(81 + 49)} \\ AC = \sqrt{130} \\ AC = 11.4[/tex]

pleas help ive been in this exam for 4 hours
An expression is shown below:

10n3 − 15n2 + 20xn2 − 30xn

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

Answer:

the

Step-by-step explanation:

the comen factor are 10-15+20-30

and Factor the entire expression completely.

are n and 2

I need an answer! NO LINKS PLS! il give brainlist

Answers

Answer:

D. The company's chocolate bars weigh 3.2 ounces on average.

Step-by-step explanation:

We are given that  a company claims that its chocolate bars weigh 3.2 ounces on average.

The company took many large samples, and each time the mean weight of the sample was within the 95% confidence interval.

Definition of 95% confidence level: 95% confidence level means a range of values that you can be 95% certain contains the true mean of the population.

Thus by considering definition we can conclude that The company's chocolate bars weigh 3.2 ounces on average.

Thus Option D is correct.

D. The company's chocolate bars weigh 3.2 ounces on average.

Please help me!!!!! This one of my last questions.

Answers

Answer:

A = 21.2

Step-by-step explanation:

Assuming that the triangle is equilateral, the area would be approximately 21.2 feet.

-24 + 12d = 2(d-3) + 22

Answers

d=4 :)
i included the work in a photo so i hope this helps you :))))

Which statement about the quadratic equation below is true?
2x2 - 15x + 18 = 0

Answers

Answer:

x=3/2 or x=6

Step-by-step explanation:

2x2−15x+18=0

Step 1: Factor left side of equation.

2x^2-12x-3x+18=0

taking common factors

2x(x-6)-3(x-6)=0

(2x−3)(x−6)=0

Step 2: Set factors equal to 0.

2x−3=0 or x−6=0

x=3/2 or x=6

Can someone please help me I really need this one and it’s my last one please

Answers

1. )Tan50/1 = 7/x
2.)7/Tan50
Final.) X=5.87

A second linear function, y = mx + 4, has the same slope as the
function in the table. What is the value of m?

Answers

Answer:

Step-by-step explanation:

A triangle has a slant of 8yd, a height of 6.5yd, and a base of 4yd. What is its area?

A. 6.5yd^2
B. 13yd^2
C. 26yd^2
D. 52yd^2

Answers

Answer:

B I thank

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

→ Write triangle formula

Area = (Base × Height) ÷ 2

→ Substitute in numbers

Area = (4 × 6.5) ÷ 2

→ Simplify

Area = 13 yd²

On considère l'énoncé suivant :150 garçons et 250 filles sont inscrits au conservatoire. 20 % des garçons et 30 % des filles sont pianistes.

Answers

Question complète:

150 garçons et 250 filles sont inscrits au conservatoire. 20% des garçons et 30% des filles sont pianistes. Calculer le pourcentage de pianistes au conservatoire

Répondre:

26,25%

Explication étape par étape:

Nombre de garçons = 150

Nombre de filles = 250

Pianiste masculin = 20% des garçons

Pianiste masculin = 0,2 * 150 = 30 garçons

Pianiste féminine: = 30% des filles

Pianiste féminine = 0,3 * 250 = 75 filles

Nombre total de pianistes:

(30 + 75) = 105 pianiste

Population du conservatoire = (150 + 250) = 400

Pourcentage de pianiste:

105/400 * 100%

0,2625 * 100%

26,25%

Lorane saw a sweater she wanted to buy
on sale for 25% off. The store charges a
4.8% sales tax. If the sweater normally
costs $65.00, how much money did Lorane
pay for the sweater, including tax?

Answers

51.09 just take 65.00 -25% then add the 4.8 %

PLSSS HELP WITH THIS IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link just pls help.

Answers

Answer:

(3,5)

Step-by-step explanation:

x axis coordinates are written before y axis.. It's stated that both x and y had 2.. You add 1 to the x axis and add 3 to the y axis

I hope it helped

What is x(3-2)(2-5)=3

Answers

Answer: 1

x(3−2)(2−5)=3

Step 1: Simplify both sides of the equation.

−3x=3

Step 2: Divide both sides by -3.

x=1

someone help plssssss

Answers

Answer:

a is 9

b is 77

Step-by-step explanation:

Give me brainllest


On Saturday, a local hamburger shop sold a combined total of 540 hamburgers and cheeseburgers. The number of
cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Saturday?
hamburgers

Answers

Answer: 135 hamburgers

540 divided by 4 (ratio of hamburgers to cheeseburgers is 3 to 1) = 135. 135 burgers and (135 times 3) 405 cheeseburgers = 540.

Step-by-step explanation: Hope this helps! :)

Answer: 180 hamburgers were sold on Saturday

Step-by-step explanation:

I’m pretty sure this is the answer

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