I need help with this problem if do thank you a lot

The expanded and simplified form of the expression (x + 5)(x - 1) is  x² - x + 5x - 5.

Given the expression in the question;

(x + 5)(x - 1)

To expand and simplify the expression (x+5)(x-1),

we use the distributive property:

(x + 5)(x - 1)

x(x - 1) + 5(x - 1)

Now we can simplify each term by using the distributive property again:

x(x - 1) = x² - x

5(x - 1) = 5x - 5

Putting these terms back together, we have:

(x+5)(x-1) = x² - x + 5x - 5

Combining like terms, we get:

(x+5)(x-1) = x² + 4x - 5

Therefore, (x+5)(x-1) simplifies to the quadratic expression x² + 4x - 5.

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Answer:

A - Answered in picture

B - 17.09

Step-by-step explanation:

The condensed form of the expression is  log [(a⁵¹× c²⁵) / b²⁷

We can use the logarithmic identities:

log aˣ = x log a

to simplify the expression:

51 log a - 27 log b + 25 log c

= log a⁵¹- log b²⁷ + log c²⁵

using the identity log (a/b) = log a - log b

= log [(a⁵¹× c²⁵) / b²⁷

Therefore, the condensed form of the expression is  log [(a⁵¹× c²⁵) / b²⁷

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The inverse of the function f(x) = 3x - 4 is f⁻¹(x) = x/3 + 4/3.

The inverse of a function is simply a new function that "reverses" the action of the original function.

Given the function in the question:

f(x) = 3x - 4

To find the inverse of f(x) = 3x - 4, we simply need to solve for x in terms of y.

f(x) = 3x - 4

y = 3x - 4

Interchange the variables

x = 3y - 4

Solve for y

Adding 4 to both sides:

x + 4 = 3y - 4 + 4

x + 4 = 3y

3y = x + 4

Dividing both sides by 3:

3y/3 = x/3 + 4/3

y = x/3 + 4/3

Replace y with f⁻¹(x)

f⁻¹(x) = x/3 + 4/3

Therefore, the inverse is f⁻¹(x) = x/3 + 4/3

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Option C is correct, the third dot plot represents the table data.

A dot chart or dot plot is a statistical chart consisting of data points plotted on a fairly simple scale, typically using filled in circles.

The dots in the number line represents the number of hamsters

The dots above line represents the hamsters owned.

We have to find the dot plot which is represented by the table.

As we observe C dot plot, it matches with the given data in the table.

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The coordinates of D' are (-1, 4) and the coordinates of F' are (-3, 2)

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

D = (3, 1)

And the vector is -4

                            3

So, we have

D' = (3 - 4, 1 + 3)

Evaluate

D' =  (-1, 4)

Here, we have the location of point F to be

F = (1, -1)

And the vector is -4

                            3

So, we have

F' = (1 - 4, -1 + 3)

Evaluate

F' = (-3, 2)

Hence, the coordinates of F' are (-3, 2)

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As a result, there is no solution to the provided problem.

Trigonometry is the study of triangles, which is a branch of mathematics. It is also known colloquially as "trig." Mathematicians explore the connections between the sides and angles of triangles in trigonometry.

We're told that sec O = -1/0. Because sec O is the reciprocal of cos O, cos O must be -1/0. However, because there is no angle with an undefined cosine, we infer that there is no such angle O.

As a result, there is no solution to the provided problem.

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In the quadrant III, all except tangent and cotangent have negative values.

Given,

sinθ = -3/5

sinθ = opposite/hypotenuse

So, adjacent = √5² - 3²

Adjacent = 4

So, cosθ = -4/5

tanθ = sinθ/cosθ

tanθ = 3/4

cosecθ = 1/sinθ = -5/3

secθ = 1/cosθ = -4/5

cotθ = 1/tanθ = 4/3

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Your question was incomplete, but most probably your question will be:

If sin(theta) = -3/5, and theta is in quadrant 111, then find cosθ, tanθ, cosecθ, secθ and cotθ.

Answer:

exact form: x=21/4

decimal form: 5.25.

mixed number form: x=5 1/4

Step-by-step explanation:

have a good day :)

Answer:

x = 5.25 or 21/4 or 5 1/4

Step-by-step explanation:

3x : 9 = 7 : 4

3x = 9 x 7 : 4

3x = 63 : 4

3x = 15.75

x = 15.75 : 3

x = 5.25 or 21/4 or 5 1/4

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

check

(3 × 5.25) : 9 = 7 : 4

15.75 : 9 = 7 : 4

1.75 = 1.75

same value, the answer is good

Answer:

y = -5x/9 - 2/9

Step-by-step explanation:

if two lines are perpendicular to each other,

the product of their slopes are -1

(slope of f)(slope of g) = -1

(9/5)(slope of g) = -1

(slope of g) = -5/9

equation of g:

(y - (-3))/(x - 5) = -5/9

(y+3) = -5/9 * (x-5)

y = -5x/9 + 25/9 - 3

y = -5x/9 - 2/9

Answer:

Step-by-step explanation:

d=71    vertical angles-angles across 2 intersecting are =

e=180-71=109   supplementary angles are =180

g=19  

boxes 3,4, 5, 6, 8 are true

Based on the table, the annual premium for a wood house in a rural area would be $2,000.

By using Newton's divided difference formula, the polynomial function in x is f(x) = x⁴ - 3x³ + 5x² - 6.

In Mathematics and Geometry, a polynomial function is a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as the following:

Next, we would determine the polynomial function in x from the given data by using Newton's divided difference formula;

xi   f(xi)     f[xi,xi+1] f[xi,...,xi+2] f[xi,...,xi+3] f[xi,...,xi+4]

-1     3          -9                6                  5                1

0    -6          15               41                 13

3    39          261            132

6    822     789

7    1611

By interpolating, the interpolation polynomial is given by:

Pₙ(x) = 3 + -9(x+1) + 6(x + 1)(x - 0) + 5(x + 1)(x - 0)(x - 3) + 1(x + 1)(x - 0)(x - 3)(x - 6)

f(x) = (x - 6)(x - 3)x(x + 1) + 5(x - 3)x(x + 1) + 6(x + 1) - 9(x + 1) + 3

f(x) = x⁴ - 3x³ + 5x² - 6

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The equations that can be used to find the length of the base are a and d

The formula for the volume of a rectangular prism is V = lwh

V = volume, l = length

w = width

h = height

In this problem, the volume of the rectangular prism is given as 1,392 cubic centimeters, the height is given as 12 centimeters, and the width is given as 8 centimeters. We can use the formula to find the length of the base as:

l = V / wh

Substituting the given values, we get:

l = 1,392 / (8 x 12)

Simplifying, we get:

l = 14.5

Therefore, the length of the base of the rectangular prism is 14.5 centimeters.

The two equations that can be used to find the length of the base are:

a. 1392 = 96l (multiplying both sides of the equation by 8 x 12)

d. 12 x 8 x l = 1392 (rearranging the formula V = lwh to solve for l)

Therefore, the equations that can be used to find the length of the base are a and d

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As asked in the question, 48.2% is equivalent to the fraction 241/500.

To convert a percentage to a fractional equivalent, we divide the percentage by 100 and simplify the resulting fraction.
So, to convert 48.2% to a fraction, we divide 48.2 by 100:
48.2/100 = 0.482

This gives us the decimal equivalent of 48.2%.

To convert the decimal to a fraction, we write it over 1 and simplify it:
0.482/1 = 482/1000

We can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:
482/1000 = (241/500)

Therefore, 48.2% is equivalent to the fraction 241/500.

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Answer:

Step-by-step explanation:

[tex]\frac{4(x+9)(x-4)^{2}(x+2) }{(x-3)(x+5)^{2} (x+2)}[/tex]

The only think i'm unsure of is the square on bottom. I know the exponents need to add up because there is a horizontal asymptote vs. slant. Everything else is right

4 on top is for the HA

x+9 is for going through x

x-4 touches

x+2 on top and bottom is hole

x-3 and x+5 is VA

The equation for the parabola will be y = 0.765625(x + 5.25)^2 - 69.390625.

Let us commence with the generalized equation for a parabola:

y = a(x - h)^2 + k

where (h,k) is the vertex of the parabola.

We can now set up august system of equations by integrating the two provided points and their corresponding transformed points:

4 = a(-2 - h)^2 + k (1)

-11 = a(-6 - h)^2 + k (2)

1 = a(1 - h)^2 + k (3)

-5 = a(-3 - h)^2 + k (4)

Comprising four knowns (a, h, k), fostering a viable solution to our problem yet available.

-15 = a(-4h - 32)

Dividing both sides by -4 silences the equation to:

3.75 = ah + 8

Continuing, subtracting equation (3) from (4):

-4 = a(-2h - 12)

Divving and relying on -2 debases the outcome to:

2 = ah + 6

At this juncture, we have two equations compounding two unknowns (a and h). Determining the h value in accordance to a within these equations can be done by setting our solutions equal to each other and solving for a, giving you an answer of 0.765625.

Exploiting one of the previous expressions, we next find h=(2-6)/0.765625=-5.25. By means of various designs, any of the four initial equations come into play when searching for k. Rearranging, 4=0.765625(-2-(-5.25))^2+k, leads to k=-69.390625.

Thus, unto completion of a parabolic, these values grace your presence:

a= 0.765625

h= -5.25

k= -69.390625

And so, the alluring equation of such an inscribed parabola casts itself forthheartedly, incarnating as:

y = 0.765625(x + 5.25)^2 - 69.390625

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Answer: 16

Step-by-step explanation:

Taking the integral: f(x)=((2x)^4)/4-1^4/4

Differentiating: f'(x)=2(2x)^3

f'(1)=16

Answer: 71.57

Step-by-step explanation:

You are going to use SOH CAH TOA to find the angle

because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)

TanΘ=[tex]\frac{9}{3}[/tex]

now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)

71.57

Sum of the interior angles is 540°.

The value of x is 81.67°, and angle A, C, D are 121.67°, 131.67°, 86.67° respectively.

What is the sum of interior angles of a pentagon?

Sum of interior angles of pentagon = (n-2) ×180° = (5 - 2) × 180° = 540°

Where n is number of side of the polygon.

Here given that values of angle A, B, C, D, E are (x + 40°), 80°, (x + 50°), (x + 5°), 125° respectively.

So,

angle A + angle B + angle C + angle D + angle E = 540°

We are Substituting the given values and get,

(x + 40) + 80 + (x + 50) + (x + 5) + 125 = 540

Or, 3x + 295° = 540°

Or,3x = 245°

Or, x = 81.67°

Now,

angle A = x + 40° = 81.67° + 40° = 121.67°

angle C = x + 50° = 81.67° + 50° = 131.67°

angle D = x + 5° = 81.67° + 5° = 86.67°

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The density of the wooden cube is 0.6 g/cm³ when length is 8cm and has a  mass of 307.2g.

To find the density of the wooden cube, we use the formula:

Density = Mass / Volume

Given that the length of the cube is 8 cm, all sides are equal in length.

The volume of a cube is given by the formula:

Volume = side length³

Substituting the given values:

Volume = 8 cm × 8 cm × 8 cm = 512 cm³

Now we can calculate the density:

Density = Mass / Volume = 307.2 g / 512 cm³

Simplifying:

Density = 0.6 g/cm³

Therefore, the density of the wooden cube is 0.6 g/cm³

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Answer:

76% increase (approximately)

Step-by-step explanation:

21 lbs ➜ 37 lbs.

To calculate percentage increase, you must first find the difference of the final value and the starting value.

[tex]37-21=16[/tex]

Second, take the difference and divide it from the starting value.

[tex]16/21\\=0.76[/tex] (approximately)

Lastly, take the quotient and multiply it by 100.

[tex]0.76 *100\\=76[/tex]

Therefore, there was a 76% increase in weight.

If the cylindrical-barrel's volume is 785.4 ft³, then the radius of barrel is approximately 5 ft, so option(c) is correct.

We know that cylindrical barrel's volume  is given by formula : V = πr²h

where V represents volume, r represents radius, and h represents height of the cylinder.

In this case, we know that the volume of barrel is 785.4 ft³ and the height is 10 ft.

Substituting these values and π ≈ 3.14, into the Volume-formula,

We get,

785.4 = 3.14 × r² × (10);

785.4/31.4 = r²,

r = √(785.4/31.4),

r ≈ 5 ft

Therefore, the radius of the barrel is (c) 5 feet.

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Answer: [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

     In a slope-intercept equation written in the form as y = mx + b, the slope is equal to m

                 y = 3/4x

     The slope is [tex]\frac{3}{4}[/tex]

The possible length is 9 centimeter because it can be isoceles triangle

Answer:

6 teaspoons!

Step-by-step explanation:

if he is doubling the recipe (4 divided by 2 = 2) then 3 * 2 would give you 6!