-5x[tex]\sqrt{3}[/tex]+11=-34

Answers

Answer 1

Answer:

-5√3x = -45

√3x = 9

x = 3√3


Related Questions

The hypotenuse of a triangle is 19cm calculate the length of the shortest side

Answers

Answer:

It is either 1 or 0.9

Step-by-step explanation:

COS=. adjacent / hypotenuse

adjacent   =  x

hypotenuse =19

COS= x / 19

cross multiply

x = COS (9)

x=0.91113026

The length of shorter side is 9.5 cm.

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Ratio = 1 : 2 : 3

Hypotenuse = 19 cm

The sides are x, 2x and 3x.

x+ 2x + 3x = 180

6x= 180

x= 30 degree

and, 3x= 90 degree

Now, using Trigonometry

sin 30 = y/ 19

y= 19/2

y= 9.5

Hence, the length of shorter side is 9.5 cm

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Identify the parent function of f(x)=(x+3)3

Answers

Answer:

g(x) = x^3

Step-by-step explanation:

f(x)=(x+3)^3

The parent function is

g(x) = x^3

The function was shifted to the left 3 units from the parent function

f(x) = ( x- -3) ^3

f(x) = ( x+3) ^3

(parent function) f(x) = (x+3)3

Same question need help asap!

Answers

Answer:

Nico's method is correct

Step-by-step explanation:

Lauren carelessly forgot to add the negative sign

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

please help with this

Answers

Answer:

1. 18x^11

2. 3n^7

3. x^9

4.-2s^9

5. 6v^14

6.-3p^6

7. 8b^10

can i get brainliest for this pls :)

Please help me ASAP!!!

Answers

Answer:

E.

Step-by-step explanation:

There are 12 balloons in each package.  Multiply this by the number of packages to get the number of balloons.

Answer:

E. 12p

Step-by-step explanation:

Multiply 12 by the number of packages to get the total number of ballons.

Ex.

If P is 7 :

12 x 7 = 84

84 ballons in total.

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?

Answers

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of factor

(x-5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis

(x+2)^2 has the power of 2 which is an EVEN number. An Even power means that the graph will touch the x-axis

To find where it will touch the axis set the factor equal to zero and solve .

(x + 2) = 0

Subtract 2 from both sides

x=-2

Please Help Me. Add (2x^2+4−x^3)+(−4x^2+6x^3−2) Express the answer in standard form. Enter your answer in the box.

Answers

Answer:

2x³ - 2x² - 2

Step-by-step explanation:

Step 1: Rewrite expressions

2x² - 4x³ - 4x² + 6x³ - 2

Step 2: Combine like terms

2x³ - 2x² - 2

share £12 in the ratio of 3:2:1

Answers

= £6:£4:£2

3+2+5=6
12 divided by 6=2
2x3=6
2x2=4
2x1=2

Make sure you put them in the correct order and put the ‘£’ sign.

The vertex of this parabola is at (4,-3). Which of the following could be its
equation?
A. x==3(y - 3)2 + 4
B. X=-3(+4)2-3
C. X=-3(-4) 2-3
D. X=-3(y + 3) - 4

Answers

Answer:

Option D.

Step-by-step explanation:

From the given graph it is clear that it is a parabola along to the x-axis.

Vertex form of a parabola along the x-axis is

[tex]x=a(y-k)^2+h[/tex]

where, (h,k) is vertex.

From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.

[tex]x=a(y-(-3))^2+(4)[/tex]

[tex]x=a(y+3)^2+4[/tex]   ...(1)

The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.

[tex]1=a(-2+3)^2+4[/tex]

[tex]1-4=a(1)^2[/tex]

[tex]-3=a(1)^2[/tex]

Substitute a=-3 in equation (1).

[tex]x=-3(y+3)^2+4[/tex]

Therefore, the correct option is D.

There are 32 students in a class. They are taking either biology or chemistry or both. The
number of students taking biology is three times as many as the number of students
taking chemistry. If 4 students are taking both biology and chemistry, how many
students are in biology?

Answers

Answer:

27

Step-by-step explanation:

Let's call the number of students taking chemistry x which makes the biology students 3x. Since the overlap is 4 the amount of students who take chemistry only or biology only is x - 4 and 3x - 4 respectively therefore we can write:

x - 4 + 3x - 4 + 4 = 32

4x - 4 = 32

4x = 36

x = 9

Since x = 9, the amount of biology students is 3x which is 3 * 9 = 27.

Answer:

27

Step-by-step explanation:

These triangles ARE similar! Which reason proves it?
Circle one:
AA~
SSS~
SAS~
SHOW CALCULATIONS to verify they are similar!

Answers

Answer:

I would say AA

Step-by-step explanation:

try to separate the picture to see the bigger picture and you can do it.

Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55 this price includes a 15% loyalty discount. before the discount, the trainers were priced at £38 work out the price of the watch before the discount
please help me
I'm struggling

Answers

Answer:

£25

Step-by-step explanation:

Total price- £53.55

Pair of trainers cost- £38 before discount

Discount= 15%

Cost of pair of trainers after discount:

£38 - 15%= £38*0.85= £32.3

Price of the watch after discount:

£53.55 - £32.3= £21.25

Price of the watch before discount:

£21.25/0.85= £25

What is the solution to the equation 9(w – 4) – 7w = 5(3w – 2)?
w = –StartFraction 34 Over 13 EndFraction
w = –2
w = StartFraction 6 Over 13 EndFraction
w = 26

Answers

Answer:

W=2.615

Step-by-step explanation:

9w-36-7w=15w-2

2w-36=15w-2

15w-2w=-36+2

13w=34

w=34/13

W=2.615

For the following questions answer independent, dependent, or both. a) This probability causes you to subtract one from the total on the second draw because you don't replace. b) This probability causes you to multiply the probability of the first event by the probability of the second event. c) This probability causes you to leave the total the same on the second draw because you replace.

Answers

Answer:

(a)Dependent

(b)Both

(c)Independent

Step-by-step explanation:

a) When selections are made without replacement, the second(next) outcome is dependent of the first(previous) outcome. Therefore, we subtract one from the draw on the total.

Dependent

(b)The probability of Event A and Event B is the multiplication of the probability of event A and the probability of event B. Events A and B can either be dependent or independent.

Both

(c)When selections are made with replacement, the next outcome is independent of the previous outcome. Therefore, we say that the two events are independent.

Independent

Help plz will give brainliest

Answers

Answer:

150

Step-by-step explanation:

[tex]30\% \times 500 \\ 0.3 \times 500 \\ = 150[/tex]

Answer: the answer is 150

Step-by-step explanation:

30% x 500

0.3 x 500

= 150

Which is an example of a survey involving quantitative data? the favorite food of each person the number of cavities each person has had the color of the walls in each person’s bedroom the type of car that each person owns

Answers

The answer is the number of cavities because it’s talking about the quantity rather than the quality.

Answer: Number of Cavities

Video games sold: x
Revenue function: R(x) = 60x
Cost function: C(x) = 12 + 7x
Profit function: Px) =

Answers

Answer:

Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.

Step-by-step explanation:

In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x  for the sale of x video games

As we know profit = sale price - cost price

Therefore P(x) = R(x) - C(x)

Or P(x) = (R-C)x = 60x - (12+7x)

P(x) = 60x -12 - 7x

P(x) = 53x -12

Now the profit on selling 20 video games will be

P(20) = 53×20 -12 = 1060 -12 = 1048.

Natalia wants to attend Louisiana State University. One year at Louisiana State University costs approximately $24,000. She currently has $4,000 in savings. Natalia has received a one-time grant of $1,500 and an annual academic scholarship for $3,500. She plans to enroll in the work study program that will pay $12,000 annually for part-time work. How much will Natalia need to borrow in student loans in order to attend Louisiana State University for 4 years?

Answers

Answer:

He needs to borrow $28,500 to attend the University for 4 years.

Step-by-step explanation:

One year at the University costs $24,000. The total she has to pay are 4 * $24,000 = $96,000

minus the $4,000 she has in savings: $96,000 - $4,000 = $92,000

minus the $1,500 she received one time: $92,000 - $1,500 = $90,500

minus $3,500 per anual

           4* $3,500 = $14,000            

           $90,500 - $14,000 = $76,500

minus $ 12,000 per anual

            4 * $12,000 = $48,000

            $76,500 - $48,00 = $28,500

If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).

A. 3x – 6x + 2
B. 3x + 6x + 2
C. 17x – 2
D. 3x + 14x – 2

Answers

Answer:

a is answer correct i think

Step-by-step explanation:

Solve px + 12 = 17 for x.
A. x =5/p
B. X =29/p
C. X= 5-p
D. x = p + 5

Answers

Answer:

A. [tex] x = \frac{5}{p} [/tex]

Step-by-step explanation:

[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]

The sum of seven times a number—
PLEASE HELP!

Answers

Answer:

x = 6

y = 4

Step-by-step explanation:

Let the two numbers be x and y

Condition 1:

7x+3y = 54 -----------(1)

Condition 2:

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

Putting (2) in (1)

=> 7(y+2)+3y = 54

=> 7y+14+3y = 54

=> 10y = 54-14

=> 10y = 40

Dividing both sides by 10

=> y = 4

Now putting y = 4 in eq(2)

=> x = 2+4

=> x = 6

Answer:

[tex]4\\6[/tex]

Step-by-step explanation:

[tex]7x+3y=54\\x=y+2[/tex]

[tex]7(y+2)+3y=54\\7y+14+3y=54\\10y+14=54\\10y=40\\y=4[/tex]

[tex]x=y+2\\x=4+2\\x=6[/tex]

Solve the equation. 1.25 =0.75+r

Answers

Answer:

0.50

Step-by-step explanation:

Do the opposite of addition

So 1.25 - 0.75

The solution to the equation 1.25 = 0.75 + r for r is r = 0.5

How to determine the solution to the equation for r

From the question, we have the following parameters that can be used in our computation:

1.25 = 0.75 + r

Add -0.75 to both sides of the equation

so, we have the following representation

-0.75 + 1.25 = 0.75 + r + -0.75

Evaluate the like terms on the right hand side

This gives

-0.75 + 1.25 = r

Evaluate the like terms on the left hand side

This gives

0.5 = r

Rewrite as

r = 0.5

Hence. the solution is 0.5

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Find the difference
[tex]( - {3x}^{3} - {7x}^{2} + 5x - 4) - ( {6x}^{2} - 8)[/tex]

Answers

Answer:

Step-by-step explanation:

Help please!!! A.) C and B B.) C and D C.) L and W D.) A and B

Answers

The answer is A) C and B :)))
The answer is A. C and B

What is the value of x?

Answers

Answer:

x = 28

Step-by-step explanation:

We can use ratios to solve

x           x+10

------ = -----------

42         42+15

Using cross products

42(x+10) = x(42+15)

42x+420 = 57x

Subtract 42x from each side

420 = 15x

Divide by 15

420/15 = x

28 =x

Which statement about the function is true?
O The function is positive for all real values of x where
The function is negative for all real values of x where
-6exs-2.
O The function is positive for all real values of x where
X-6 orr-3
O The function is negative for all real values of x where
x<-2

Answers

Answer:

Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.

Step-by-step explanation:

As given in the graph,

Given function is a quadratic function, f(x) = (x + 2)(x + 6)

With x-intercepts of the function, x = -6 and -2

Graph below the x-axis represents the negative values of the function.

Graph above the x-axis represents the positive values of the function.

Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.

Please help me. Multiply. (x−5)(3x+6) Express the answer in standard form. Enter your answer in the box.

Answers

Answer:

3x² - 9x - 30

Step-by-step explanation:

We use FOIL to multiply (First, Outside, Inside, Last)

Step 1: F

3x²

Step 2: O

6x

Step 3: I

-15x

Step 4: L

-30

Step 5: Rewrite

3x² + 6x - 15x - 30

Step 6: Combine like terms

3x² - 9x - 30

Answer:

[tex]3x^2-9x-30[/tex]

Step-by-step explanation:

Use the FOIL method to solve:

First: [tex]x*3x=3x^2[/tex]

Outer: [tex]x*6=6x[/tex]

Inner: [tex]-5*3x=-15x[/tex]

Last: [tex]-5*6=-30[/tex]

Combining them all, we get:

[tex]3x^2+6x-15x-30=\\3x^2-9x-30[/tex]

Use the zero product property to find the solutions to the equation x2 - X-6 = 0.
x= -3 or x = -2
x= -3 or x = 2
Ox= -2 or x= 3
O x= 2 or x = 3

Answers

Answer:

third option

Step-by-step explanation:

Given

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Answer:

x = -2 or x = 3

Step-by-step explanation:

The answer to your question is C.

A line is drawn through the point (-1,-1), parallel to the line 2x-3y+9=0. Where will it cross the x-axis?

Answers

Answer:

2x-3y-1=0I hope I'm correct.

Step-by-step explanation:

[tex]2x-3y+9=0\\Rearrange -in-form-of : y = mx+b\\-3y=0-9-2x\\-3y=-2x-9\\\frac{-3y=-2x-9}{-3} \\y =\frac{2}{3} \\\\For- parallelism- , m1=m2\\One -point- form (-1,-1)\\x1 = -1\\y1 = -1 \\m = \frac{2}{3}\\ y -y1=m(x-x1)\\y -(-1)=\frac{2}{3} (x-(-1))\\y+1=\frac{2}{3}(x+1)\\y+1=\frac{2}{3}x + \frac{2}{3}\\\\y = \frac{2}{3}x + \frac{2}{3}-1\\\\y = \frac{2}{3}x - \frac{1}{3}\\Multiply- through-: by 3 \\3[y = \frac{2}{3}x - \frac{1}{3}]\\\\3y = 2x -1\\Answer = 2x-3y-1=0[/tex]

^^^^^^^^^^^^^^^^^^**^^^^^^^^^^^^^

use the greatest common factor and the distributive property to find the sum of 36 and 8. The Greatest common factor is 16

Answers

Answer:

44

Step-by-step explanation:

Greatest common factor is 4

36 = 4*9

8 = 4*2

36+8 = 4*9 + 4*2

= 4(9+2)

= 4(11)

= 44

Hope it helps ...

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