What is the solution for the equation 36³-26²-5 6³-2
36²-26²-5-6²²-2²


What Is The Solution For The Equation 36-26-5 6-236-26-5-6-2

Answers

Answer 1

Answer:

b = 0 and b = 4

Step-by-step explanation:

[tex]\frac{5}{3b^3-2b^2-5}[/tex] = [tex]\frac{2}{b^3-2}[/tex] ( cross- multiply )

2(3b³ - 2b² - 5) = 5(b³ - 2) ← distribute parenthesis on both sides

6b³ - 4b² - 10 = 5b³ - 10 ( subtract 5b³ from both sides )

b³ - 4b² - 10 = - 10 ( add 10 to both sides )

b³ - 4b² = 0 ← factor out b² from each term on the left side

b²(b - 4) = 0

equate each factor to zero and solve for b

b² = 0 ⇒ b = 0

b - 4 = 0 ⇒ b = 4


Related Questions

Which of the following is equivalent to √?
O
2
√2
O 2√2
2+√√√2

Answers

Answer:

2 sqrt(2)

Step-by-step explanation:

To simplify a square root

sqrt(8)

sqrt(4*2)

sqrt(4) sqrt(2)

2 sqrt(2)

Answer:

2√2

Step-by-step explanation:

√8 =[tex]\sqrt{4 \times 2}[/tex]

= 2√2 (√4 = 2)

Hence, 2√2 is the required answer.

PLEASE HELP ASAP!!!!!!!!!
The terminal ray of angle θ drawn in standard position passes through (1,−3).

What is the value of cscθ?

Enter your answer in the box. Enter your answer in simplest form.

csc0=

Answers

The radius of the circle is

[tex] \sqrt{ {1}^{2} + {( - 3)}^{2} } = \sqrt{10} [/tex]

meaning that

[tex] \sin( \theta ) = \frac{ - 3}{ \sqrt{10} } [/tex]

Thus,

[tex] \csc \theta = - \frac{ \sqrt{10} }{3} [/tex]

The value of csc θ is  √10/ (-3).

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

As,

(1,−3) is in quadrant 4 and csc is negative.

Using Pythagoras,

H=√ 1² + (-3)²

H= √10

So, cosec θ= H/P

                  = √10/ (-3)

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what are the pair of intergers whose product is -12

Answers

Answer:

The answer is -4×3 or -3×4 or -6×2 or -2×6 or -1×12 or -12×1

Step-by-step explanation:

Which of the following situations could be represented with the following system of equations?

Answers

Option B is correct for the given system of equations.

The given system of equations 13(v-w)=52 and 12(v+w)=72.

What are systems of equations?

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Now, 13(v-w)=52⇒v-w=4-----(1) and 12(v+w)=72⇒v+w=6------(2).

By adding (1) and (2), we get

v-w+v+w=4+6⇒2w=10⇒w=5

By substituting w=5 in equation (1), we get v-5=4⇒v=9.

Thus, the statement "Andy flew his model aeroplane at full speed straight into the wind for 13 seconds before turning it around and flying directly with the wind for 12 seconds. The aeroplane flew 72 yards on the way out and 52 yards on the way back" is correct for the given system of equations.

Therefore, option B is correct for the given system of equations.

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what does ([tex](x^{2}+4x)(x)[/tex] equal

Answers

the first definition of an element was made by

does someone mind helping me with this problem? Thank you!

Answers

41
9x^2 - 4x - 3
9(-2)^2 - 4(-2) - 3 = 41

To hire a bicycle it costs $6 for each day plus a fixed charge of $15

a) Maria pays $39 to hire a bicycle. How many days does she hire it for.

Answers

Answer:

4 days

Step-by-step explanation:

1) Derive a formula.

Let b = bicycle

Let x = the number of days

A set up equation: b = 6x + 15

2) If she pays 39 to hire a bicycle, substitute 39 into b, then solve for x.

39 = 6x + 15

39 - 15 = 6x

24 = 6x

24/6 = x

4 = x

x = 4

Since x is the number of days, she hired the bicycle for 4 days.

Drag the tiles to the correct boxes. Not all tiles will be used.
Which equation could represent each graphed polynomial function?
y = 14 - 5x² + 4
y = x³ + 27
y = x(x + 3)(x - 2)
y = (x + 1)(x − 3)(x² + 1)

Answers

y = x⁴- 5x² + 4 represents the first graph.

y = x(x + 3)(x - 2) represents the second graph.

How to Interpret the graph of a Polynomial?

1) The first polynomial is;

y = x⁴- 5x² + 4

Simplifying this gives us;

y = x⁴- 4x² - x² + 4

y = x²(x² - 4) - 1(x²- 4)

y = (x² - 1)(x² - 4)

y = (x - 1)(x + 1)(x - 2)(x + 2)

Thus, the zeros of this polynomial are; x = -2, -1, 1, 2

From the given graphs attached, first graph has the zeros (x-intercepts) as x = -2, -1, 1, 2.

So graph (1) represents the polynomial  y = x⁴- 5x² + 4

2). The second graph shows the x-intercepts at x = -3, 0, 2

Since, y = x(x + 3)(x - 2) is the polynomial with x-intercepts at x = -3, 0, 2

Therefore, y = x(x + 3)(x - 2) represents the second graph.

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3/4=6/x x =

!!!!PLEASE HELP I WILL MARK BRAINLIEST!!!!

Answers

Answer:

x=8

Step-by-step explanation:

You cross multiply, 6 times 4 is 24, so what times 3 is 24. 8 times 3 is 24.

Answer:

  x = 8

Step-by-step explanation:

There are several ways you can solve a proportion like this. Most of the algebraic solutions involve what amounts to multiplying both sides by (4x/3). There are also graphical solutions and solutions that rely on relations that make fractions be equal.

__

cross multiplication

The method of solution usually recommended is to "clear fractions" and then solve the resulting one-step linear equation. To "clear fractions," multiply both sides of the equation by the least common denominator: 4x.

  [tex](4x)\dfrac{3}{4}=(4x)\dfrac{6}{x}\\\\3\cdot x=4\cdot6\qquad\text{looks like "cross multiplication"}[/tex]

We describe this as "cross-multiplication" because it looks like each numerator has been multiplied by the opposite denominator.

This "one-step" linear equation is solved by dividing by the coefficient of x, which is 3:

  [tex]\dfrac{3x}{3}=\dfrac{4\cdot6}{3}\\\\\boxed{x=8}\qquad\text{simplify}[/tex]

Note that we could have done these operations in one step. The two steps, multiply by 4x and divide by 3, are identical to the one step, multiply by (4x/3).

  [tex]\left(\dfrac{4x}{3}\right)\cdot\dfrac{3}{4}=\left(\dfrac{4x}{3}\right)\cdot\dfrac{6}{x}\\\\\boxed{x=8}\qquad\text{simplify}[/tex]

__

compare fractions

We can see the solution almost immediately if we rewrite the fractions so they have the same numerator.

  [tex]\dfrac{3}{4}=\dfrac{6}{x}\\\\\dfrac{3\cdot2}{4\cdot2}=\dfrac{6}{x}\\\\\dfrac{6}{8}=\dfrac{6}{x}\ \Longrightarrow\ \boxed{x=8}[/tex]

The same thing happens if we multiply the equation by the inverse of either side.

  [tex]\dfrac{3}{4}=\dfrac{6}{x}\ \Longrightarrow\ \left(\dfrac{4}{3}\right)\dfrac{3}{4}=\left(\dfrac{4}{3}\right)\dfrac{6}{x}\ \Longrightarrow\ 1=\dfrac{8}{x}\ \Longrightarrow\ \boxed{x=8}\\\\\textsf{ or ...}\\\\\dfrac{3}{4}=\dfrac{6}{x}\ \Longrightarrow\ \left(\dfrac{x}{6}\right)\dfrac{3}{4}=\left(\dfrac{x}{6}\right)\dfrac{6}{x}\ \Longrightarrow\ \dfrac{x}{8}=1\ \Longrightarrow\ \boxed{x=8}[/tex]

__

graphical solution

If the equation is rewritten to a form that has a value of 0 at the solution, then the x-intercept of the graph will be the solution to the equation.

  3/4 = 6/x . . . . . . . . original equation

  6/x -3/4 = 0   ⇒   f(x) = 0

  f(x) = 6/x -3/4

The graph shows the solution to f(x) = 0 is x=8.

There are boys and girls in a class in the ratio 1: 12 there are 77 more girls than boys. how many boys are there?

Answers

Let's set up some variables:

b: # of boysg: # of girls

Let's set up some equations based on the informative given:

boys to girls ratio ⇒ 1: 12

             (Mathematical form) g = 12b

77 more girls than boys

             (Mathematical form) g = b + 77

Let's put the equation together:

 g = 12b         -- equation 1

 g = b + 77     -- equation 2

  (equation 2)'s value of g into (equation 1)

  12b = b + 77

   11b = 77

    b = 7

There are 7 boys.

Answer: 7 boys

Hope that helps!

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Question 33 of 45 You may use your calculator for this question. A particle moves along a line so that at time t where 0 ≤t≤n, its position is given by s(t)=-4 sint- t/2+10. What is the acceleration of the particle the 2 first time its velocity equals zero? ​

Answers

The particle's velocity at time [tex]t[/tex] is equal to the first derivative of its position at that time, and acceleration is the second derivative.

We have

[tex]s(t) = -4\sin(t) - \dfrac t2 + 10 \implies s'(t) = -4\cos(t) - \dfrac12 \implies s''(t) = 4\sin(t)[/tex]

Find when the velocity is zero:

[tex]s'(t) = -4\cos(t) - \dfrac12 = 0 \implies \cos(t) = -\dfrac18 \implies t = \cos^{-1}\left(-\dfrac18\right) \approx 1.696[/tex]

At this time, the acceleration of the particle is approximately

[tex]s''(1.696) \approx \boxed{3.969}[/tex]

(B)

The circumcenter is the center of the. circle

Answers

The circumcenter is the center of the circle which goes through the triangle's vertices, so the circumcenter of the triangle and the center of that circumscribed circle MUST be the same point.

The same goes for the incenter and the center of the inscribed circle, though these will not, in general, be the same point as the circumcenter.

Answer: Another name of circumcenter is, " Circumscribed circle ". The circumcenter is the center point of the circumcircle drawn around a polygon. The circumcircle of a polygon is the circle that passes through all of the polygon's vertices & the center of that circle is called the circumcenter. All polygons that have circumcircles are known as cyclic polygons. However, all polygons does not have a circumcircle. Only regular polygons, triangles, rectangles, and right-kites can have the circumcircle and thus the circumcenter as well.

You may find that the circumcenter of a triangle as the most common thing asked in exams and it is generally what schools begin with. So, some brief information about the circumcenter of a triangle is given below. You may safely ignore them if you haven't learned them yet.

What is the Circumcenter of a Triangle?

The circumcenter of triangle can be found out as the intersection of the perpendicular bisectors (the lines that are at right angles to the midpoint of each side) of all sides of the triangle. This means that the perpendicular bisectors of the triangle are concurrent (meeting at one point). All triangles are cyclic and hence, can circumscribe a circle, therefore, every triangle has a circumcenter.

Properties of Circumcenter of Triangle

Property 1: All the vertices of the triangle are equidistant from the circumcenter.

Property 2: All the new triangles formed by joining O to the vertices are Isosceles triangles.

Property 3: Circumcenter lies at the midpoint of the hypotenuse side of a right-angled triangle

Property 4: In an acute-angled triangle, circumcenter lies inside the triangle

Property 5: In an obtuse-angled triangle, it lies outside of the triangle

Note- Location for the circumcenter is different for different types of triangles.

How to construct Circumcenter of a Triangle?

The circumcenter of any triangle can be constructed by drawing the perpendicular bisector of any of the two sides of that triangle. The steps to construct the circumcenter are:

Step 1: Draw the perpendicular bisector of any two sides of the given triangle.Step 2: Using a ruler, extend the perpendicular bisectors until they intersect each other.Step 3: Mark the intersecting point as P which will be the circumcenter of the triangle. It should be noted that, even the bisector of the third side will also intersect at P.
Circumcenter Formula

P(X, Y) = [(x1 sin 2A + x2 sin 2B + x3 sin 2C)/ (sin 2A + sin 2B + sin 2C), (y1 sin 2A + y2 sin 2B + y3 sin 2C)/ (sin 2A + sin 2B + sin 2C)]

 ∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
  hope it helped
┗━━━━━━━┛

Pls help and explain tyyy

Answers

Answer:

11) 195312

13) 5461

Step-by-step explanation:

11)

15÷(-3) = -5

(-75)÷15 = -5

375÷(-75) = -5

It’s clear that the common ratio of this geometric sequence is -5

Then using the sum formula for geometric sequences :

[tex]S_{11}=\left( -3\right) \times \frac{1-\left(-5 \right)^{8} }{1-(-5)} =-\frac{1}{2}\times(1-(-5)^8)=195312[/tex]

……………………………………………………

13)

[tex]S_{13}=1\times \frac{1-4^{7}}{1-4} =-\frac{1}{3} \times(1-4^{7})=5461[/tex]

What is the measure of m? 6 3 n 18 m = [?] Give your answer in simplest form. Enter​

Answers

By solving a system of equations, we will see that m measures 12 units.

How to get the measure of m?

Notice that we have 3 right triangles.

Then we can write the equations:

cos(a) = 6/m

For the small triangle on the left, where m is the hypotenuse.

cos(a) = m/(6 + 18)

For the larger triangle (the one composed of the two triangles).

Where in both equations, angle "a" is the one in the top left.

Then we have the system of equations:

cos(a) = 6/m

cos(a) = m/(6 + 18)

Then we can write:

6/m = m/(6 + 18)

If we simplify the expression, we get:

6*(6 + 18) = m^2

6*(24) = m^2

144 = m^2

√144 = m = 12

Then we conclude that m measures 12 units.

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It costs $15 to get into the county fair and $2 per pack of ride tickets, t. If you buy 10 packs of ride tickets, how much total would you spend?

Answers

Answer:

35$

Step-by-step explanation:

You multiply $2 x 10 = 20$ then add 15$ + 20$ = 35$

write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y=-x+4

Step-by-step explanation:

First use slope formula using 2 points.

(0,3) and (1,2)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{2-3}{1-0}=\frac{-1}{1} =-1[/tex]

Slope is -1.

Now, use point-slope formula.

y-y1=m(x-x1)

Plug in the information that we have.

y-3=-1(x-0)

Use distributive property.

y-3=-x+1

Add 3 to both sides.

y=-x+4

It is now in slope-intercept form.

Hope this helps!

If not, I am sorry.

if sin theta=-3/5 in quadrant III what is cos theta

Answers

Answer:

Just simply input in your calculator arcsin of -5/6. Arcsin is the sign that looks like sin to the power of -1, even though it doesn't mean sin to the power of -1. This comes out to 303.6 degrees. So, it actually isn't in quadrant 3, it's in quadrant 4.

Step-by-step explanation:

Brian ordered 3 large cheese pizzas and a salad. The salad cost $4.95. if he spent a totai of $47.60 including the $5 tip, how much did each pizza cost? (Assume there is no tax).

Answers

Each pizza cost $ 12.65

What is an Equation ?

An Equation is used in determination of unknown variables in an expression .

It is given that

Brian ordered 3 large cheese pizzas and a salad.

The salad cost $4.95

Total amount spend = $47.60

Tip = $5

The amount spend in food is $ 47.60-5

= $42.60

Let the price of Pizza is x then the equation that can be formed to determine the price of pizza is

3x + salad = 42.60

3x + 4.95 = 42.60

3x = 37.65

x = $12.65

Therefore each pizza cost $ 12.65

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Answer:

12.55

Step-by-step explanation:

If g:
x = 2x-3 4 find 9^-1 (-3)​

Answers

The inverse function of g(x) will be g⁻¹(x) = (4x + 3) / 2. Then the value of the inverse function, at x = -3, will be 4.5.

What is inverse of a function?

Let the function will be

f: X → Y

Then the inverse function will be

f⁻¹: Y → X

The function is given below.

g(x) = (2x – 3) / 4

Then the inverse function of g(x) will be

g⁻¹(x) = (4x + 3) / 2

Then the value of the inverse function, at x = -3, will be

g⁻¹(-3) = [4(-3) + 3] / 2

g⁻¹(-3) = -4.5

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Which equation describes the same line as y- 5 = -2(x+4)?
OA. y=-2x-8
B. y=-2x - 2
OC. y=-2x - 3
OD. y=-2x+9
SUBI

Answers

Answer:

C

Step-by-step explanation:

We have

y - 5 = -2(x + 4)

Expanding the RHS by multiplying by 2 gives us

y - 5 = -2x -8

Moving -5 from LHS to RHS (reverses sign)
y = -2x -8 + 5   or
y = -2x -3

C. y=-2x - 3 , equation describes the same line as y- 5 = -2(x+4).

Here, we have,

We have been given an equation in point-slope form and we are asked to find the equation of same line.

y- 5 = -2(x+4)

Upon using distributive property , we will get,

=> y- 5 = -2x - 8

We have

y - 5 = -2(x + 4)

Expanding the RHS by multiplying by 2 gives us

y - 5 = -2x -8

Moving -5 from LHS to RHS (reverses sign)

y = -2x -8 + 5   or

y = -2x -3

Therefore, the equation y = -2x -3 represents the same line as our given equation.

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Pretest: Manipulating and Interpreting Expressions
Drag each expression to the correct location on the table.
Place each algebraic expressions next to its corresponding verbal description.
5³-²-1 (5-4)³
the difference of 5 times the cube of x cubed and
the quotient of 4 times x and 3
5 times the cube of x divided by 4 times x
the quotient of the difference of 5 times x cubed and 4 and x
the cube of the difference of 5 times x and 4
Submit

Answers

Answer:

9

Step-by-step explanation:

0

Which statement describes how the graph of the given polynomial would change if the term -3x^6 is added?

y=2x^6+9x^5-7x^3-1

Answers

The correct answer will be option B which is the ends of the graph will extend in the opposite direction.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Given equation is as follows:-

y = 2x⁶ + 9x⁵ -7x³ -1

When the term -3x⁶ is added the equation will be reduced in the following form.

y = -3x⁶+2x⁶ + 9x⁵ -7x³ -1

y =-x⁶+9x⁵ -7x³ -1

When we plot the graph of the above equation we will see that the graph will be reduced to the form in which both the ends of the graph lie opposite to each other.

The graph of the equation is attached with the answer below.

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Answer:

B is the correct answer

Step-by-step explanation:

Jared bought eighteen doughnuts to share with his coworkers. If each doughnut cost c cents, which expression represents his total cost?

Answers

Wait, how many cents?

Helppppp!!!!!! Find m<1

Answers

Answer:

87 = <1

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

124 = 37 + <1

Subtract 37 from each side

124 -37 = <1

87 = <1



The length of an arc of a circle is 26/9 pi
centimeters and the measure of the corresponding central angle is 65 degrees. What is the length of the circle's radius?

Answers

The radius will be equal to 7.55 centimeters.

What is the length of arc of the circle?

The arc length is the curved length on the circumference of a circle suspended by a small angle.

The radius will be calculated as follows:-

r = [tex]\dfrac{Arc}{Angle}[/tex]

r = [tex]\dfrac{\dfrac{26\pi}{9}}{\dfrac{69\times \pi}{180}}[/tex]

r = [tex]\dfrac{9.07}{1.20}[/tex]

r = 7.55 centimeters

Therefore the radius will be equal to 7.55 centimeters.

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Helppp will give brainliest
Let x1 = 21, y1 = −15, and y2 = 9, and let y vary inversely as x. Find x2.

Answers

Answer:

The value of [tex]x_{2}[/tex] from inverse variation is (-35).

Step-by-step explanation:

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases. While direct variation describes a linear relationship between two variables, inverse variation describes another kind of relationship.

An inverse variation can be represented by the equation

xy=k .

That is y varies inversely as x if there is some nonzero constant k.

Here, the product is given by :

x1y1=x2y2

21 x (-15)=x2 x 9

(-315) / 9 = x2

x2=(-35)

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Please help me!! matrices question! ASAP

Answers

5 possibly cause the state of numbers have a typical pattern! NOT SURE THO!!! but a little help! <3 goodluck.

light a flashes every 5 seconds Light b flashes every 6 seconds light c flashes every 7 seconds work out how long it will take for all of them to flash

Answers

Answer:

210 seconds

Step-by-step explanation:

LCM of 5,6 and 7

Where does f(x) = 3x2 – 11x – 4 intersect the x-axis?

Answers

Answer:[tex]x=-\frac{1}{3}, 4[/tex]

Step-by-step explanation:

Graphs intersect the x-axis where y=0, so we can set f(x)=0.

[tex]3x^2 - 11x-4=0 \\ \\ (3x+1)(x-4)=0 \\ \\ x=-\frac{1}{3}, 4[/tex]

Answer:

negative x intercept is at -1/3

positive x intercept 4

Step-by-step explanation:

whats 27 x 300 / 34 x 6

Answers

Answer:

Use Calculator:

Approximately. 1429.411

Step-by-step explanation:

Hope it Helps!!!

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