If f(x) = 1/2x – 10, then f^-1(x) =

Answer:

[tex]\large\boxed{D)\ x^2(3x^2+2x-9)-5x(3x^2+2x-9)}[/tex]

Step-by-step explanation:

[tex]\text{Use the distributive property}\ a(b+c)=ab+ac.\\\\(x^2-5x)(3x^2+2x-9)=(x^2)(3x^2+2x-9)+(-5x)(3x^2+2x-9)[/tex]

Answer:

x^2(3x^2 + 2x - 9) - 5x(3x^2+2x-9)

Answer:

Because he could only cover 50% of the price 25 by the coupon and 25 which he had.

Answer:

A: Natasha should have multiplied 100 by 2.

Step-by-step explanation:

i got it right in e2021

and mark me Brainliest

Answer:

=204.13 inches.

Step-by-step explanation:

Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.

Sin 30 =x/hypotenuse.

sin 30 = 27/hyp

hyp= 27/sin 30

=54 inches

We can also find the adjacent as follows.

Cos 30 = adjacent/ 54

Adjacent= 54 cos 30

=46.77 inches

Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.

sin 45= x/hypotenuse

sin 45 =27/hypotenuse

hypotenuse = 27/sin 45

=38.18 inches

The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.

Perimeter = 54+ 46.77+27+ 38.18+38.18

=204.13 inches.

The total perimeter of the given figure is 204.13 inches

Let's break down the solution step by step:

1. Triangle with 30° Angle:

  - We have a right triangle with one angle measuring 30°.

  - The side opposite the 30° angle (labelled as "x") is 27 inches.

  - We want to find the hypotenuse (the longest side).

  - Using the sine function:

   [tex]\[ \sin(30°) = \frac{x}{\text{hypotenuse}} \] - Solving for the hypotenuse: \[ \text{hypotenuse} = \frac{27}{\sin(30°)} = 54 \text{ inches} \][/tex]

2. Adjacent Side of the 30° Triangle:

  - We can also find the adjacent side (labelled as "adjacent") using the cosine function:

   [tex]\[ \cos(30°) = \frac{\text{adjacent}}{54} \] - Solving for the adjacent: \[ \text{adjacent} = 54 \cos(30°) = 46.77 \text{ inches} \][/tex]

3. Isosceles Triangle with 45° Angles:

  - We have an isosceles triangle with two angles measuring 45° each.

  - The side opposite each 45° angle is also 27 inches (since it's an isosceles triangle).

  - We want to find the hypotenuse of this triangle.

  - Again using the sine function:

  [tex]\[ \sin(45°) = \frac{x}{\text{hypotenuse}} \] - Solving for the hypotenuse: \[ \text{hypotenuse} = \frac{27}{\sin(45°)} = 38.18 \text{ inches} \][/tex]

4. Total Perimeter:

  - The perimeter of the entire figure is the sum of all sides:

   [tex]\[ \text{Perimeter} = 54 + 46.77 + 27 + 38.18 + 38.18 = 204.13 \text{ inches} \][/tex]

Therefore, the total perimeter of the given figure is 204.13 inches.

Answer:

(x + 3)² = 15

Step-by-step explanation:

Given

x² + 6x - 6 = 0 ( add 6 to both sides )

x² + 6x = 6

To complete the square

add (half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 6 + 9

(x + 3)² = 15

Follow below steps:

The question asks about rewriting the quadratic equation x^2+6x-6=0 by completing the square. To complete the square for an equation of the form ax^2+bx+c=0, we need to add and subtract the square of half the coefficient of x, which is (b/2)^2, to make it a perfect square trinomial.

Here are the steps for completing the square for the given equation:

Divide all terms by the coefficient of x^2 if it is not 1 (in this case, it is already 1).

Move the constant term to the other side of the equation: x^2 + 6x = 6.

Find (b/2)^2, where b is the coefficient of x, which is 6 in this case. So, (6/2)^2 = 9.

Add and subtract this value inside the equation: x^2 + 6x + 9 - 9 = 6.

Write the left-hand side as a perfect square and simplify the right-hand side: (x+3)^2 - 9 = 6.Finish by repositioning: (x+3)^2 = 15.

The equation x^2+6x-6=0 rewritten by completing the square is (x+3)^2 = 15.

Answer:

Option B is correct.

Step-by-step explanation:

Solving using synthetic division

-8 | 2 14 9

The synthetic division is shown in image attached.

The remainder is: 25

The quotient is : 2x-2

So, Option B is correct.

x^2 + 2 = 38

Subtract 2 from each side:

x^2 = 36

Take the square root of both sides:

x = √36

x = 6

Answer:

A segment has exactly one endpoint- false

Answer:

A segment do not have only one endpoint. A line segment is part of a line that is bounded by two points and contains every point on the line between the two endpoints.

the answer is B) 128

if the diameter of the cylinder's base is 8, then its radius is half that, or 4.

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=8 \end{cases}\implies V=\pi (4)^2(8)\implies V=128\pi[/tex]

Answer:

240 melons

Step-by-step explanation:

First, multiply the # of boxes and # of bags

(30 * 4 = 120)

Then, multiply that with 2

(120*2=240)

Answer:

C

Step-by-step explanation:

The volume (V) of the cylinder is calculated as

V = πr²h

where r is the radius of the base and h the perpendicular height

here r = 5 and h = 8.5

V = π × 5² × 8.5

   = 25π × 8.5 ≈ 667.59 in³ ( to the nearest hundredth )

C. 667.59in^3

The procedure to use the volume of the cylinder calculator is follows:

The volume (V) of the cylinder is calculated as

V = πr²h

where r is the radius of the base and h the perpendicular height

here r = 5 and h = 8.5

V = π × 5² × 8.5

  = 25π × 8.5 ≈ 667.59 in³ ( to the nearest hundredth )

Learn more about volume of the cylinder here https://brainly.com/question/6204273

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Answer:

Step-by-step explanation:

Nice work with the latex. It is a hard language to use.

Numerator:

take out x(x^2 + 7x + 10)

Factor the contents of the brackets: (x + 2)(x + 5)

Combine x * (x + 2) * (x + 5)

Denominator: Leave at is it is.

Combine

[tex]\dfrac{(x)(x + 2)(x + 5)}{x^4*(x + 2)}[/tex]

Be very careful with this next step. Cancel the x and the (x + 2) in the top and bottom. You are left with

[tex]\dfrac{(x +5)}{x^3}[/tex]

The reason you have to be so careful is that you have to (or you should) mention that these cancellations can take place only if x ≠ 0 or that (x + 2)≠ 0

Answer:

-1/5

Step-by-step explanation:

Answer:

The answer is c

How many minutes are in 9 hrs

1 hr = 60 min

You must apply dimensional analysis (aka setting up fractions where the units you want will cancel out and the ones you want stay)

[tex]\frac{9 hr}{1} *\frac{60 min}{1hr}[/tex]

9 hrs is 540 min

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

so since there is 60 minutes in 1 hour and 60 is divisible by 10 all you have to do is multiply 6 by 9 and you get 54 but since it's 60 than that changes the answer to 540 since it's divisible by 10

Answer:

3v+5+8u is written as a product of three factors is incorrect because factors are associated with multiplication and multiplication is only used twice within the problem and also they are all be add

3v+5+8u is written as a sum of three terms is correct because sum is associated with addition and three terms are being added together

8 is a coefficient is correct because a coefficient is a number being multiplied by a variable in this case and its still a variable in both ways of looking at it because terms are also single numbers

8u and 5 are like terms is incorrect because you cannot add them together

5 is a constant is correct because a constant is a single number

none of these are true is incorrect because there are correct answers

Answer:

it would be the 1st one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You can write any equation that is adding or subtracting like n+(-x)=y

Answer:-1

Step-by-step explanation:

Check the picture below.

since the larger cube has a volume of 6 cubic units, let's see what is the volume of one of the small cubes, and check how many times does that volume go into the other.

[tex]\bf \stackrel{\textit{volume of a cube}}{V=s^3}~~ \begin{cases} s=side's~ length\\ \cline{1-1} s=\frac{1}{2} \end{cases}\implies V=\left( \cfrac{1}{2} \right)^3\implies V=\cfrac{1}{8} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{how many times does }\frac{1}{8}\textit{ go into 6?}}{6\div \cfrac{1}{8}\implies \cfrac{6}{1}\div \cfrac{1}{8}\implies \cfrac{6}{1}\cdot \cfrac{8}{1}}\implies 48[/tex]

Answer:

Step-by-step explanation:

Answer: the slope is 4 and the y intercept is 3. Hope this helps!

Answer:

slope = 4

y-intercept = 3

Step-by-step explanation:

Note the slope-intercept form: y = mx + b

x & y is found inside the point (x , y).

m is the variable for the slope.

b is the variable for the y-intercept.

Find the corresponding number for the corresponding variable.

slope = m = 4

y-intercept = b = 3

~

Answer:

1 cubed 1

2 cubed 8

3 cubed 27

4 cubed 64

5 cubed 125

6 cubed 216

10 cubed 1,000

Cube Root of 1 is 1

Cube Root of 8 is 2

Cube Root of 27 is 3

Cube Root of 64 is 4

Cube Root of 125 is 5

Cube Root of 216 is 6

Cube Root of 1,000 is 10

Step-by-step explanation:

To find the cube of a number multiply that number by itself three times and to find the cube root of a number find one perfect cube less than the original number and then find one greater than the original number and then round if you need to.

To find the cubes of numbers without a calculator, multiply each number by itself twice. To find the cube root, determine which number, when multiplied by itself twice, equals the given cube.

In order to list the cubes of the numbers from 1-6 and 10 without a calculator, we need to multiply each number by itself twice. Here are the cubes:

To find the cube root of each cube, we need to determine which number, when multiplied by itself twice, equals the given cube. Here are the cube roots:

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Answer:

Step-by-step explanation:

Look at the picture.

ΔABC and ΔACD are similar. Therefore corresponding sides are in proportion:

[tex]\dfrac{AB}{AC}=\dfrac{AC}{AD}[/tex]

We have

[tex]AB=2+6=8,\ AC=x,\ AD=2[/tex]

Substitute:

[tex]\dfrac{8}{x}=\dfrac{x}{2}[/tex]          cross multiply

[tex]x^2=(8)(2)\\\\x^2=16\to x=\sqrt{16}\\\\x=8[/tex]

Answer:

(-4,-10)

Step-by-step explanation:

Given that ;

y=1x-6 -----------------------(a)

x= -4--------------------------(b)

Substitute value of x (b) in (a) above

y= 1(-4) -6

y= -4-6 = -10

Solutions

x=-4   and y= -10    ⇒    ( -4, -10)

Graphically we observe that x =  -4  and y = -10 at point m where the two graphs intersect

Answer:

-4,-8

Step-by-step explanation:

Answer:

Choice B), [tex]f(x) = -3|x|[/tex].

Step-by-step explanation:

Each point on the graph of [tex]g(x)[/tex] can be represented as [tex](x, g(x))[/tex].

When the graph of [tex]g(x)[/tex] is reflected over the x-axis, each point on the graph is also reflected over the x-axis. The x-coordinate of each point will not change but the sign in front of the y-coordinate will flip. For example, [tex]1[/tex] (same as [tex]+1[/tex]) will become [tex]-1[/tex], and vice versa. In general, [tex](x, g(x))[/tex] will become [tex](x, -g(x))[/tex].

On the other hand, points on the graph of [tex]f(x)[/tex] can be represented as [tex](x, f(x))[/tex]. [tex]f(x)[/tex] is the reflection of [tex]g(x)[/tex], so [tex](x, -g(x))[/tex] and [tex](x, f(x))[/tex] shall be equivalent. In other words,

[tex]f(x) = -g(x) = - 3|x|[/tex].

Answer:

[tex]\large\boxed{-\sqrt{12}+3\sqrt3=\sqrt3}[/tex]

Step-by-step explanation:

[tex]-\sqrt{12}+3\sqrt3=-\sqrt{4\cdot3}+3\sqrt3\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=-\sqrt4\cdot\sqrt3+3\sqrt3=-2\sqrt3+3\sqrt3=(-2+3)\sqrt3=1\sqrt3=\sqrt3[/tex]

Answer:

The answer should be: A.

An equation which describes the same line as [tex]y-5=-2(x+4)[/tex] is [tex]y=-2x-3[/tex].

Given the following data:

[tex]y-5=-2(x+4)[/tex]

To find an equation which describes the same line as the one given:

In Mathematics, the standard form of an equation of line is given by the following formula;

[tex]y = mx+b[/tex]

Where:

Simplifying the given equation, we have:

[tex]y-5=-2(x+4)\\\\y-5 =-2x -8\\\\y = -2x-8+5\\\\y=-2x-3[/tex]

Read more: https://brainly.com/question/18123312

Answer:

Rational Numbers

Step-by-step explanation:

According to the definition of rational numbers, the numbers which can be written in the form of p/q where p and q belong to the set of integers and q is not equals to zero are called rational numbers i.e 8/9, 9/6, -3/4

So, the answer to given question is:

Rational Number ..

Answer:

C

Step-by-step explanation:

x² + 6x = 18

To complete the square, take the coefficient of the x term, halve it, square the result, then add to both sides.

(6/2)² = 3² = 9

x² + 6x + 9 = 18 + 9

(x + 3)² = 27

x + 3 = ±√27

x = -3 ± √27

Answer:

y^3 + 27

Step-by-step explanation:

(y+3)(y2 – 3y+9)

distribute y

y^3 - 3y^2 + 9y

distribute 3

3y^2 - 9y + 27

add/combine like terms and order correctly

y^3 + (3y^2 - 3y^2) + (9y - 9y) + 27

answer

y^3 + 27

Answer:

-1

Step-by-step explanation:

To find the slope, we use the formula

m = (y2-y1)/(x2-x1)

   = (5-7)/(-3--5)

   = (5-7)/(-3+5)

   = -2/2

  =-1

Answer:

1000 times

Step-by-step explanation:

The Richter scale is a logarithmic scale, so we can say an earthquake of magnitude 8 on the Richter scale shows an intensity of 10^8.

In the same way, an earthquake of magnitude 5 on Richter scale will have an intensity of 10^5.

To evaluate the difference, we divide one by the other.

10^8 / 10^5 = 10^3 = 1,000

An earthquake of intensity of 8 is 1,000 times more powerful than one of intensity 5.

Answer:

on edge

A magnitude 8 earthquake is 1,000 times more intense than a magnitude 5 earthquake. A magnitude 8 earthquake is 108 times more intense than a standard earthquake, while a magnitude 5 earthquake is 105 times more intense than a standard earthquake, and 108 ÷ 105 = 103. Each unit increase on the Richter scale corresponds to an intensity increase by a factor of 10. So from 5 to 8 on the Richter scale, the intensity increases by 103 = 1,000.