Which of the following rules could represent the function shown in the table?

f(x) = -2x
f(x) = 2x-1
f(x) = 2x+1​

Answer:

a = 2

x = 15

y = 10

Z= 2x15/10 = 3

Check the picture below.

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:

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

Answer:

Value of x is 37.

Step-by-step explanation:

Given:

line y and line z are parallel.

line x is traversal line.

To find: value of x.

∠( 3x + 4 )° and ∠ 115° are alternate interior angle in the given figure.

We know that Alternate interior angles of parallel lines are equal.

So,

3x + 4 = 115

3x = 115 - 4

3x = 111

x = 37

Therefore, Value of x is 37.

Two parallel lines are crossed by a transversal then the value of x is 37.

Given that line y and line z are parallel and line x is a traversal line.

To find that value of x.

We have ∠( 3x + 4 )° and ∠ 115° are alternate interior angles in the given figure.

We know that Alternate interior angles of parallel lines are equal So,

3x + 4 = 115

3x = 115 - 4

3x = 111

x = 37

Therefore, the Value of x is 37.

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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

[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:

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: f(3) = 9

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

                                             f(3) = 18 + (-9)

                                             f(3)= 9

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:

[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:

=241 ft

Step-by-step explanation:

The building is opposite the angle of elevation. Thus using trigonometric ratios it is easier to use Tangent of the elevation angle to find the distance to the foot of the building (adjacent).

Tan ∅ = opposite/ adjacent

Tan ∅= height of the building/ distance between the engineer and the building

distance= height/tan ∅

=250/tan 46°

=241 ft

          =

Answer: 241 feet.

Step-by-step explanation:

Observe the figure attached, where "x" is the distance from the engineer to the base of the building to the nearest whole foot.

We need to remember this identity:

[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]

In this case we know that:

[tex]\alpha=46\°\\opposite=250\\adjace nt=x[/tex]

Therefore, the next step is to substitute these values into  [tex]tan\alpha=\frac{opposite}{adjacent}[/tex]:

[tex]tan(46\°)=\frac{250}{x}[/tex]

And the final step is to solve for "x":

[tex]x*tan(46\°)=250\\\\x=\frac{250}{tan(46\°)}\\\\x=241ft[/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:

loss:  2 points

Step-by-step explanation:

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

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:

5  2/3 (which is Answer B)

Step-by-step explanation:

17/3 is an improper fraction; the numerator is greater than the denominator.

Dividing 17 by 3, we get 5  2/3 (which is Answer B).

The conversion of the improper function gives 5(²/₃) as the mixed fraction.

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

The given improper function is 17/3.

In order to convert an improper function into a mixed fraction, first do the long division then the remainder obtained becomes the numerator of the mixed fraction and quotient becomes the whole number.

It can be done for the given case as follows,

The division of 17 by 3 gives,

Quotient = 5 and Remainder = 2

then, the mixed fraction can be written as 5(²/₃).

Hence, the given improper fraction can be converted into mixed fraction as 5(²/₃).

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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:

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:

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:

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

point N is at (3,2)

3units to the right and 3units up = x+3, y+3

3+3=6; 2+3=5

new coordinate: (6,5)

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:

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:

Obviously its x=3-23=-20.

Hi there! My name is Zalgo and I am here to help you out on this wonderful day. "23+x=3", it seems that we need to find the "X value". That would be "-20". In order to test that it is the correct answer, just input it into the equation. "23+-20=3".

I hope that this helps! :)

"Stay Brainly and stay proud!" - Zalgo

(By the way, do you mind marking me as Brainliest? I'd greatly appreciate it! Thank you! XP)

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:

A ray

Step-by-step explanation:

Answer:

ray

Step-by-step explanation:

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: