In simplified form, V18 is

Answer: Option C

[tex]x =8[/tex]

Step-by-step explanation:

To solve this problem use the properties of the logarithms.

We know that the inverse function of [tex]y = log_2 (x)[/tex] is [tex]y = 2 ^ x[/tex].

So when composing the function with its inverse function we have to:

[tex]2 ^ {log_2 (x)} = x[/tex].

Now apply this property on both sides of the equation

[tex]log_2(x) = 3\\\\2^{log_2(x)}=2^3\\\\x = 2^3\\\\x = 8[/tex]

the answer is the option C

Answer:

A ray

Step-by-step explanation:

Answer:

ray

Step-by-step explanation:

Answer:

What you need to consider is what multiplied by 2 results in a/2. This number is the coefficient of a.

We can easily see that a/2 = 1/2 * a and therefore the coefficient is 1/2.

Answer:

Step-by-step explanation:

a/2 (a over 2) is rewritten as a×1/2 (a multiplied by half ) so now you can easily see that the coefficient of "a" is 1/2

Answer:

the slope is  : - 1/13

Step-by-step explanation:

Hello : let  A(26,7)    B(-39,12)

the slope is :   (YB - YA)/(XB -XA)

(12-7)/(-39-26)  = 5/(-65)  = - 1/13

the slope is  : - 1/13

Answer:

15 percent

Step-by-step explanation:

To find the percentage of a number, divide the first number by the second number and multiply by 100. In this case, 30 is 15% of 200.

To find the percentage, divide the first number by the second number and multiply by 100. In this case, 30 divided by 200 is 0.15. Multiply 0.15 by 100 to get 15%. Therefore, 30 is 15% of 200.

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Answer:

A

Step-by-step explanation:

To find the volume of a rectangular box, multiply all its dimensions together.

[tex]8*5*4=160[/tex]

Answer:

The equation 0 = ax2 + bx + c has no real roots or no solution.

Step-by-step explanation:

We are told that the graph of y = ax2 + bx + c is a parabola that opens up and has a vertex at (0, 5). Since the parabola opens up, the vertex (0, 5) will be the lowest point on the graph of the function. This implies that the parabola does not intersect the x-axis; the line y = 0. Therefore, the equation;

 0 = ax2 + bx + c will have no real roots or no solution. Find the attached.

Answer:

Step-by-step explanation:

There is no given equation, so it is impossible to figure this out. I apologize.

Answer:

A. 6x-150=2400

X=425

Step-by-step explanation:

Solve.

6x-150=2400

First, you add 150 from both sides of equation.

6x-150+150=2400+150

Then, simplify.

2400+150=2550

6x=2550

Divide by 6 from both sides of equation.

6x/6=2550/6x

Simplify to find the answer.

2550/6=425

X=425 is the correct answer.

A. 6x-150=2400 is the correct answer.

Answer:

6x – 150 = 2400

Step-by-step explanation:

Each plate of food was sold for $8, but cost the school $2 to prepare:

-2x + 8x = 6x

A school spent $150 on advertising for a breakfast fundraiser:

-150

After all expenses were paid, the school raised $2400 at the fundraiser:

6x – 150 = 2400

In case you want to solve it:

6x – 150 = 2400

+ 150 + 150

_________________

6x = 2550

___ _____

6 6

x = 425

So, four hundred twenty-five plates were sold.

I am joyous to assist you anytime.

Answer:

[tex]\frac{1}{a(a-4)}[/tex]

Step-by-step explanation:

Factor the denominator of the first fraction

a² - 16 ← is a difference of squares and factors as

a² - 16 = (a - 4)(a + 4), thus fraction becomes

[tex]\frac{a}{(a-4)(a+4)}[/tex] × [tex]\frac{a+4}{a^2}[/tex]

Cancel the factor (a + 4) on numerator/denominator and the a and a², leaving

[tex]\frac{1}{a(a-4)}[/tex]

Answer:

y = (-6/7)x + 11/7

Step-by-step explanation:

Going from  (-4, 5)  to  (3,-1), x increases by 7 and y decreases by 6.  Hence, the slope, m, of this line is m = rise / run = -6/7.

Making use of the slope-intercept form of the equation of a str. line, we have:

y = mx + b  →   5 = (-6/7)(-4) + b, or

                        5 = 24/7 + b.  Thus, b = 11/7, and

y = (-6/7)x + 11/7

The formula to find slope when you know two points is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case...

[tex]y_{2} =-1\\y_{1} =5\\x_{2} =3\\x_{1} =-4[/tex]

^^^Plug these numbers into the formula for slope...

[tex]\frac{-1 - 5}{3 - (-4)}[/tex]

[tex]\frac{-6}{7}[/tex]

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

[tex]\large\boxed{B.\ (f-g)(x)=-x-15}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=2x-6,\ g(x)=3x+9\\\\\text{Substitute:}\\\\(f-g)(x)=(2x-6)-(3x+9)\\\\=2x-6-3x-9\qquad\text{combine like terms}\\\\=(2x-3x)+(-6-9)\\\\=-x-15[/tex]

Answer: f(3) = 9

Step-by-step explanation: f(3) = 2(3)^2 + x - 12

                                             f(3) = 18 + (-9)

                                             f(3)= 9

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{"x" varies with "y"}}{x=ky}\qquad \textit{we also know that } \begin{cases} x=7.5\\ y=10 \end{cases}\implies 7.5=k(10) \\\\\\ \cfrac{7.5}{10}\implies \cfrac{~~\frac{15}{2}~~}{10}=k\implies \cfrac{3}{4}=k~\hfill \boxed{x=\cfrac{3}{4}y} \\\\\\ \textit{when y = 4, what is \underline{x}?}\qquad x=\cfrac{3}{~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}(~~\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~)\implies x=3[/tex]

Answer:

7 is (5-20) degrees because if you see 2is (3* 10) or 4 is (4*- 15) you will get your Answer

Answer:

(A) 35 degrees

Step-by-step explanation:

Using vertical angles, alternate interior angles, and corresponding angles, the measure of angle 2 is also 35 degrees.

Answer:

A.35

The parallel lines have equal angels

Answer:

ASA

Step-by-step explanation:

In the 2 triangles

∠J = ∠L

side OJ = side IL

∠O = ∠I

The triangles are congruent by the angle/side/angle (ASA ) postulate

Answer:

x ≥ -5

Step-by-step explanation:

15≥-3x

switch sides

-3x≤15

Multiply both sides by -1 (reverse the inequality)

(-3x)(-1)≥15(-1)

Simplify

3x≥-15

Divide both sides by 3

3x/3≥ -15/3

Simplify

x≥ -5

Answer:

{x | x ≥ -5}

Step-by-step explanation:

Trying to help everyone!

Answer:

The correct answer option for this is: False.

Step-by-step explanation:

We are given the following statement which we are to determine whether its true or false:

In order to form a negation, just add "not" to a statement or take "not" out of a statement if it already exists.

To form a negation, we add the word 'not' to a statement - this part of the given sentence is true.

While 'or take "not" out of a statement if it already exists' is false which makes the whole sentence false.

Answer: 243

Step-by-step explanation:

We have the expression

[tex]3(a + b + c)^2[/tex]

Note that the expression depends on 3 variables

a, b and c

in this case we want to evaluate the expression for

[tex]a = 2\\b = 3\\c = 4[/tex]

Then change the variable a by the number 2, the variable b by the number 3 and the variable c by the number 4

So we have

[tex]3(2 + 3 + 4)^2[/tex]

Now simplify the expression

[tex]3(9)^2[/tex]

[tex]3*81=243[/tex]

The answer is 243

ANSWER

[tex]243[/tex]

EXPLANATION

The given expression is

[tex]3 {(a + b + c)}^{2} [/tex]

We want to evaluate this expression for:

a = 2, b = 3, and c = 4.

We substitute the given values into the expression to get:

[tex]3(2 + 3 + 4)^{2} [/tex]

Let us perform the addition inside the parenthesis to get:

[tex]3(9)^{2} [/tex]

[tex]3(81) =24 3[/tex]

Therefore the given expression evaluates to:

[tex]243[/tex]

Answer:

a = 2

x = 15

y = 10

Z= 2x15/10 = 3

Check the picture below.

Answer:

-3t - 33

Step-by-step explanation:

Distribute -3 to all terms within the other parenthesis:

(-3)(t + 11) = (-3)(t) + (-3)(11)

Simplify by multiplying:

(-3)(t) + (-3)(11)

-3t + (-33)

-3t - 33 is your answer.

~

Answer:

999 is the largest three-digit number

Step-by-step explanation:

Answer:

loss:  2 points

Step-by-step explanation:

Mathematically:  +4 - 6 = -2.  The "net" loss was 2 points.

Answer:

[tex]3-(2a)(5)[/tex]

Step-by-step explanation:

we know that

The algebraic expression of the phrase "three minus the product of two times a and five" is equal to

[tex]3-(2a)(5)[/tex]

[tex]3-10a[/tex]

Answer:

There are 20 vertices in the polyhedron.

The number of vertices in a polyhedron can be determined using Euler's formula or the specific properties of certain polyhedra such as platonic solids. The number of vertices varies depending on the type and structure of the polyhedron.

The number of vertices in a given polyhedron depends on the specific characteristics of the shape. According to the Euler's formula, represented as V - E + F = 2 (where V is the number of vertices, E the number of edges, and F the number of faces), we can determine the number of vertices if the other values are known.

For instance, a tetrahedron has 4 vertices, an octahedron has 6, a icosahedron has 12, a cube (also known as a regular hexahedron) has 8, and a dodecahedron has 20 vertices.

Answer:

[tex]70ft^2[/tex]

Step-by-step explanation:

Surface area is the sum of all sides of the area. Since it is a rectangular prism, each surface area will be multiplied by two to account for the opposite side (ex. top and bottom are the same area).

The front/back area is [tex]1*11[/tex] or 11. So the sum of the areas is 22.

The right/left area is [tex]2*1[/tex] or 2. So the sum of the areas is 4.

The top/bottom area is [tex]2*11[/tex] or 22. So the sum of the areas if 44.

We add these together to find the surface area.

[tex]22+4+44=70[/tex]

The surface area is [tex]70ft^2[/tex]

Answer:

First, we need to find the missing side which is BC ( using pythagorean theorem)

AB² + BC² = AC²

=> 16² + BC² = 20²

=> BC²          = 20² - 16² = 144

=> BC           = √144 = 12

Now apply the formulars:

Just to make things easier, let's point out exactly what will the hypotenuse, opposite side and adjacent side.

So in this case:

The hypotenuse will be AC

The opposite side (of angle A) is BC

The adjacent side (of angle A) is AB

Therefore:

sin A = opposite/hypotenuse = BC/AC = 12/20 = 3/5

cos A = adjacent/hypotenuse = AB/AC = 16/20 = 4/5

tan A = opposite/adjacent = BC/AB = 12/16 = 3/4