What is the factored form of n2 – 25?

Answer:

Proved!

Step-by-step explanation:

For two functions f(x) and g(x) to be inverses of each other then;

f(g(x)) = x and g(f(x)) = x condition must be satisfied.

Checking: A. f(x) = 7x³ + 10 and g(x) = ∛[tex]\frac{x - 10}{7}[/tex]

So f(g(x)) = 7([tex]\sqrt[3]{(x- 10)/7}[/tex])³ + 10

We get; 7([tex]\frac{x - 10}{7}[/tex]) + 10 = x - 10 + 10 = x (*This is correct!)

So g(f(x)) = [tex]\sqrt[3]{((7x^3 + 10) - 10)/7}[/tex]

Ten cancels out and we are left with;

[tex]\sqrt[3]{7x^3/7}[/tex] = [tex]\sqrt[3]{x^3}[/tex] = x (* This is also correct!)

Answer: A

Step-by-step explanation: A P E X

Answer:

choice A

Step-by-step explanation:

im not sure what you really wanted so i did the cheapest option

Answer:no

Step-by-step explanation:

it has a closed circle because it's "-or equal to"

if s is more than 4.5 then the arrow would point to anything 4.5 or higher which is to the right

Answer:

x = 1/4 y

Step-by-step explanation:

Step 1: Flip the equation.

4x+4=y+4

Step 2: Add -4 to both sides.

4x+4+−4=y+4+−4

4x=y

Step 3: Divide both sides by 4.

4x/4 = y/4

Therefore, x = 1/4 y

If your looking for what y equals, here you go:

Add -4 to both sides.

y + 4 + −4 = 4x + 4 + −4

y = 4x

Answer:

y = 4x

The equation will be y = 4x. Then the graph is a line that goes through the points (1,4) and (2,8).

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation is given below.

y + 4 = 4(x + 1)

Then we have

y = 4x

If x = 1. Then y will be

y = 4

If x = 2. Then y will be

y = 8

The graph is a line that goes through the points (1,4) and (2,8).

Then the correct option is B.

The graph is given below.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

Step-by-step explanation:

A∩B={x| x∈a and x∈B}

a) A∩B={4,6}

b) A∩B={ 4,9}

c) A∩B={yellow,green}

Answer:

Decrease of 4% ($4).

Step-by-step explanation:

Suppose the initial price was $100. An increase of 20% will make the price $120.

Now we decrease it 20% which brings it to 120 - 0.20 * 120

= 120 - 24

= $96.

So that's an overall decrease of $4 or 4%.

Answer:

option A is correct

Step-by-step explanation:

The number of roots a polynomial has is a factor of the exponent to which it’s highest power is raised

What we are saying here is that the number of roots a polynomial has is equal to the exponent on its highest power

That is why for example a quadratic equation has 2 roots

Now, to get 8 roots, the highest exponent should be 8

After expansion, the first polynomial has a term in the 8th power so it is our answer

The second polynomial, although we have a term in x^4 but it is raised to another 4 which is totally raised to 16 and that cannot be our answer

The correct answer here is the first polynomial

Answer:

Its A on Edge 2020

Step-by-step explanation:

it is 9

and it is also 54

Answer:

3 and 63.

Step-by-step explanation:

The sequence formula is [tex]\frac{3n(n+1)}{2}[/tex].

Resulting in a sequence of 0, 3, 9, 18, 30, 45, 63.

a = -3

common ratio(r) = -12/(-3) = 4

nth term = a.r^(n-1)

= -3.(4)^(n-1)

Answer:

For 75 g butter ≈ 27 fingers

Step-by-step explanation:

Using unitary method

For 20 fingers = 55 g butter

For 1 g butter = 20/55 fingers

=> For 1 g butter = 4/11 fingers (Simplified form)

Multiplying both sides by 75

=> for 75 g butter = [tex]\frac{4}{11} * 75 {fingers}[/tex]

=> For 75 g butter ≈ 27 fingers ( approximately )

Answer:

4x – 3 + 2x = 33

6x = 36

x = 6

D. x = 6

Answer:  A. (72π - 144) mm²

Step-by-step explanation:

[tex]A_{shaded}=A_{circle}-A_{square}\\\\\\A_{circle}=\pi \cdot r^2\\.\qquad \ =\pi \bigg(\dfrac{12\sqrt2}{2}\bigg)^2\\\\.\qquad \ =\pi (6\sqrt2)^2\\.\qquad \ =72\pi\\\\\\A_{square}=side^2\\.\qquad \quad =\dfrac{12\sqrt2}{\sqrt2}^2\\\\.\qquad \quad =12^2\\\\.\qquad \quad =144\\\\\\\large\boxed{A_{shaded}=72\pi-144}[/tex]

The area of shaded region is  (72π – 144) square millimeters.

To understand more, check below explanation.

It is given that,

The diameter of circle is [tex]12\sqrt{2}[/tex] millimeters.

  Since,   radius = diameter/2

So that, radius of circle[tex]=12\sqrt{2}/2=6\sqrt{2}[/tex]

now, we have to find area of circle,

                  [tex]Area=\pi *r^{2} \\\\Area=\pi *(6\sqrt{2} )^{2} \\\\[/tex]

                  Area = 72π square millimeters

The side of inscribed square[tex]=12\sqrt{2} /\sqrt{2}[/tex] = 12mm

Since, area of square= (side)^2

Area of square= 12 * 12 = 144 square millimeters

To find the area of shaded region, subtract area of square from area of circle.

Area of shaded region = area of circle - area of square

Area of shaded region = (72π – 144) square millimeters.

Learn more about the area of circle here:

https://brainly.com/question/14068861

Answer:

51 mph

Step-by-step explanation:

→ The first thing we need is a formula which links speed, distance and time so,

Speed = Distance ÷ Time

Speed = mph

Distance = metres/miles

Time = hours

→ Since we want to work out the average speed of the entire journey we need to first work out the total distance and total time. Using the first sentence of the paragraph, it says that the car travels at an average speed of 45 mph for 40 minutes, we can rearrange the formula to work out the distance so,

Speed = Distance ÷ Time

→ Rearrange to get distance as subject

Distance = Speed × Time

→ Substitute in the values

Distance = 45 × 40

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

40 ÷ 60 = 0.666666667

→ Substitute in the time value multiplied by the speed

Distance = 45 × 0.666666667 = 30

⇒ 30 metres/miles is overall distance for the first part of the journey

→ Now we have to work out the distance for the second part of the journey. State the distance formula.

Distance = Speed × Time

→ Substitute in the values into the distance formula

Distance = 60 × 25

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

25 ÷ 60 = 0.416666667

→ Substitute in the time value multiplied by the speed

Distance = 60 × 0.416666667 = 25

⇒ 25 metres/miles is overall distance for the second part of the journey

→ Now we have to add the distance of both the journeys together

25 + 30 = 55

→ Then we add the times of the journey together

40 minutes + 25 minutes = 65 minutes

→ Convert 65 minutes into hours

65 ÷ 60 = 1.08333 hours

→ Substitute both values into the speed = distance ÷ time formula

Speed = 55 ÷ 1.08333 = 50.76923077

→ The question says to round it to the nearest whole number so,

50.76923077 = 51 mph

Answer:

We can write:

x + y = -2

xy = -80

We can rewrite the first equation as x = -y - 2 and then plug that into the second equation to get (-y-2) * y = -80 → -y² - 2y = -80 → y² + 2y - 80 = 0 → (y - 8)(y + 10) = 0 → y = 8, -10. Substituting these values into the first equation we get x = -10, 8 so the answer is (x₁, y₁) = (-10, 8) or (x₂, y₂) = (8, -10).

Answer:

521

Step-by-step explanation:

Composite figure.

Draw a straight down from C to line segment AB. This forms a triangle.

Now, the area of this figure=

Area of semicircle+area of rectangle+ area of triangle.

Rectangle area formula = l times w

Length - 20

Width =14

14 times 20 = 280

Area of rectangle = 280

Semicircle area = area of circle/2

Area of circle = π[tex]r^2[/tex]

Diameter =20= 2r

r=10

π[tex]r^2[/tex]= π 10^2 =100π

100 times 3.14 =314

314/2 = 157

Area of semicircle = 157

Area of triangle= bh/2

Triangle's base= 32-20=12

Triangles height = 14

14 times 12 = 168

168/2 = 84

Area of triangle: 84

Area of semicircle+area of rectangle+ area of triangle.

157+280+84 =521

Answer:

8%

Step-by-step explanation:

Hello,

8% of the students take neither History or French

so we have 8*200/100=8*2=16 students  out of French and History

let s say that

a is the number of students taking only History

b is the number of students taking both History and French

c is the number of students taking only French

10% of those who take History also take French

so 0.10(a+b)=b <=> 0.10a+0.10b=b

<=> 0.10a+0.10b-0.10b=b-0.10b=0.9b

<=> 0.10a=0.90b

let's multiply by 10 it comes a = 9b

4 times as many students take History as take French

so a + b = 4 (b + c)

it comes 9b + b = 10b = 4b + 4c

<=> 10b-4b=4b+4c-4b=4c

<=> 6b=4c

<=> 3b=2c

<=> c = 3b/2

and we know that a + b + c = 200 - 16 = 184

so

9b + b + 3b/2 = 184 we can multiply by 2 it comes

20 b + 3b = 184*2

23b = 184*2 = 23 * 8 *2 = 23*16

b = 23*16/23 = 16

so b = 16

c = 3*16/2 = 24

c = 24

a = 9b = 144

a = 144

you can see the Venn diagram below

and then the probability that a student picked at random does History and French is 16/200 = 8%

so the answer is 8%

hope this helps

Answer:

20°.

Step-by-step explanation:

According to both the diagram and the presented angle measure, m∠RPS + m∠QPR = m∠QPS.

(4x + 27) + (9x - 115) = 107

4x + 9x + 27 - 115 = 107

13x - 88 = 107

13x = 195

x = 15

Now that we have the value of x, we can find the m∠QPR.

9x - 115

= 9 * 15 - 115

= 135 - 115

= 20

So, m∠QPR is 20°.

Hope this helps!

Answer:

j=1.75

Step-by-step explanation:

6j=21-2j-7

6j=14-2j

6j+2j=14

8j=14

[tex]\frac{8j}{8} = \frac{14}{8}[/tex]

j=1.75

Simplifying

4x + 2(x + 6) = 36

Reorder the terms:

4x + 2(6 + x) = 36

4x + (6 * 2 + x * 2) = 36

4x + (12 + 2x) = 36

Reorder the terms:

12 + 4x + 2x = 36

Combine like terms: 4x + 2x = 6x

12 + 6x = 36

Solving

12 + 6x = 36

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + 6x = 36 + -12

Combine like terms: 12 + -12 = 0

0 + 6x = 36 + -12

6x = 36 + -12

Combine like terms: 36 + -12 = 24

6x = 24

Divide each side by '6'.

x = 4

Simplifying

x = 4

Answer:

q = 15

Step-by-step explanation:

2q – 4 = 26    (add 4 to both sides)

2q = 26 + 4

2q = 30      (divide both sides by 2)

q = 30/2

q = 15

Answer:

The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)

Step-by-step explanation:

Notice that when we start with the function [tex]f(x)=x^3[/tex], and then transform it into the function: [tex]g(x)=(x-4)^3-7[/tex]

what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).

Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).

then the point (0, 0) after the translation becomes: (4, -7)

Answer:4, -7

Step-by-step explanation:

Answer:

The expression in standard form is -3 + 6i

Step-by-step explanation:

Writing complex equation in standard form we have;

-3 + yi = x + 6i

We transfer the real and imaginary parts to be on different sides of the equation as follows;

yi - 6i = x + 3

We factorize the imaginary part;

i(y-6) = x + 3

We note that the real portion on the left hand side of the equation is zero, therefore, we have;

i(y-6)  + 0= x + 3

x + 3 = 0

Therefore, x = -3

Substituting the value of x in the first equation, we have;

-3 + yi = -3 + 6i

Comparing gives;

y = 6

The expression in standard form is -3 + 6i.

Answer:

See the step-by-step

Step-by-step explanation:

This answer is based on the idea that magnitude is absolute value.

Absolute value is a number's distance from zero.

1. Magnitude is never negative. (True)

2. The magnitude of -1.9 is  |–1.9| which is 1.9. (True)

3. The absolute value of a number is greater than its magnitude. (False, they are the same (?, maybe)

4. The numbers –4 and 4 have the same magnitude. (True)

5. The magnitude of Negative two-thirds is less than the magnitude of Two-thirds. (False)

Answer:

Which statements are true? Check all that apply.

Magnitude is never a negative value.

The magnitude of –1.9 is |–1.9| which is 1.9

The numbers –4 and 4 have the same magnitude.

Step-by-step explanation:

Answer:

73.3 %

Step-by-step explanation:

To find the percentage

44/60

.73333333

Change to a percentage by multiplying by 100

73.3 %

━━━━━━━☆☆━━━━━━━

▹ Answer

73.3%

▹ Step-by-Step Explanation

44 ÷ 60 = 0.73333333333* 100→ 73.3%

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

5236

Step-by-step explanation:

the original number is equal to 100%

Therefore 5600=100% how about 85 %(which is what is left after decreasing 15%)

85×5600÷100=4760

the new original is(100%)=4760

4760=100% how about 110%(which is what you'll have after adding 10%)

4760×110÷100=5236

Answer:

[tex]Time = 7.5\ seconds[/tex]

Step-by-step explanation:

Given

[tex]Equation:\ h(t) = -16t^2 + 120t[/tex]

[tex]Initial\ Velocity = 160ft/s[/tex]

Required:

Determine the time taken to return to the ground

From the equation given; height (h) is a function of time (t)

When the rocket returns to the ground level, h(t) = 0

Substitute 0 for h(t) in the given equation

[tex]h(t) = -16t^2 + 120t[/tex]

becomes

[tex]0 = -16t^2 + 120t[/tex]

Solve for t in the above equation

[tex]-16t^2 + 120t = 0[/tex]

Factorize the above expression

[tex]-4t(4t - 30) = 0[/tex]

Split the expression to 2

[tex]-4t = 0\ or\ 4t - 30 = 0[/tex]

Solving the first expression

[tex]-4t = 0[/tex]

Divide both sides by -4

[tex]\frac{-4t}{-4} = \frac{0}{-4}[/tex]

[tex]t = \frac{0}{-4}[/tex]

[tex]t =0[/tex]

Solving the second expression

[tex]4t - 30 = 0[/tex]

Add 30 to both sides

[tex]4t - 30+30 = 0+30[/tex]

[tex]4t = 30[/tex]

Divide both sides by 4

[tex]\frac{4t}{4} = \frac{30}{4}[/tex]

[tex]t = \frac{30}{4}[/tex]

[tex]t = 7.5[/tex]

Hence, the values of t are:

[tex]t =0[/tex] and [tex]t = 7.5[/tex]

[tex]t =0[/tex] shows the time before the launching the rocket

while

[tex]t = 7.5[/tex] shows the time after the rocket returns to the floor

Answer:

1

Step-by-step explanation:

do 18 times 3

then do 54 divided by 54

to find the following number

hope this helps

Answer:

Improper fraction.

Step-by-step explanation:

19/18 is an improper fraction. If it were a mixed number, you would have an integer followed by a fraction, like 1 and 1/18.

Hope this helps!

Answer:

It would be an improper fraction.

A mixed number would be 1 whole, while the other part is a fraction.

[tex]1\frac{1}{18}[/tex]

A improper fraction is when the numerator is greater than the denominator, such as

[tex]\frac{19}{18}[/tex]

Hope this helps

Answer by

~[tex]Fishylikeswater[/tex]~

Answer:

The value of the car after two years is $14,100.025

Step-by-step explanation:

Here, we want to calculate the value of a car after its second year, given the depreciation percentage.

To get the value of the car year after year at the fixed percentage level, what we do is to set up an exponential equation;

V = I(1-r)^t

where V is the present value

I is the initial value = $25,000

r is the rate = 24.9% = 24.9/100 = 0.249

t is the number of years = 2 in this case

So we substitute these values in the depreciation case and have;

V = 25000(1-0.249)^2

V = 25000(0.751)^2

V = $14,100.025

Answer: 12 packages with 5 notebooks and 6 pencils in each package.

Step-by-step explanation:

The greatest common factor of 60 and 72 is 12.  Thus divide both numbers(60 and 72) by 12 to get 5 and 6.  Thus, Miss Smith made 12 packages with 5 notebooks and 6 pencils in each package.

Answer:

12 packages with 5 notebooks and 6 pencils in each package.

Step-by-step explanation: