In the diagram below, what kind of line is BF relative to ABC?

5-3x=-128

LHS = RHS

(5 - 3) x A = -128

( 2 ) x A = -128

2A / 2 = -128 / 2

A = -64

Answer:

$168

Step-by-step explanation:

x + 3x = 672

4x = 672

x = 672 / 4

x = 168

Farah has $168

I can give you a hint. So when we do the composition of functions, if we plug 2 functions into each other and get x by itself, that means the functions are inversely related.

For this problem, simply find the inverse of f(x).

If you are stuck, I could provide you with a solution below...

f(x) = 8x³ - 2

y = 8x³ - 2

y + 2 = 8x³

(y + 2)/8 = x³

cube root((y + 2)/8) = x

g(x) = cube root((x + 2)/8)

The value of function g(x) after solving will be ∛(x + 2) / 2.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The value of function,

f(x) = 8x³ − 2

And, f(g(x)) = x and g(f(x)) = x

Now,

Since, f(g(x)) = x

And, f(x) = 8x³ − 2

The substitute x = g (x) in above equation we get;

f (g(x)) = 8 (g(x))³ - 2

x = 8 (g(x))³ - 2

Add 2 both side;

x + 2 = 8 (g(x))³  

Divide by 8;

(x + 2)/8 = (g(x))³

Take cube root both side;

∛(x + 2)/8 = g(x)

g(x) = ∛(x + 2) / 2

So, The value of function g(x) after solving will be ∛(x + 2) / 2.

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Answer:

dude

Step-by-step explanation:

how are you supposed to know but you are smart hopefully you will answer

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \:b(b + 12) = 0[/tex]

Here, we have two cases :

[tex]\qquad \sf  \dashrightarrow \:b = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:b + 12 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:b = - 12[/tex]

Hence, 0 and -12 are the only possible solutions for given equation.

Answer:

x = 8/3

Decimal form: 2.66666666667

Step-by-step explanation:

Given:

[tex]x+2x+8=10+6[/tex]

Solution:

[tex]\mathrm{Add\:similar\:terms:}\:x+2x=3[/tex]

[tex]3x+8=10+6[/tex]

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]3x+8-8=16-8[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]3x=8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3x}{3}=\frac{8}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=\frac{8}{3}[/tex]

[tex]x=2.66666666667[/tex]

~lenvy~

Answer/Step-by-step explanation:

Base on the given we are..

Solving for x:

Solve:

X + 2x + 8 = X = 10 + 6          {x+2x= 3x}

3x + 8 = 10 + 6                        {10+6=16}

3x + 8-8=16-8                           {16-8=8}

3x = 8                                  {divide both sides by same term}

3x/3 = 8/3

Therefore,

x = 8/3

Decimal form = 2.66666666667

[RevyBreeze]

Answer:

1 gallon / 600 sq ft

Step-by-step explanation:

As we can see, we are given that 600 sq ft uses one gallon to cover, therefore one gallon covers 600 sq ft (just vice versa of what's given).

Answer:

Final answer -

[tex]d(FD) = \sqrt{65 } \: units[/tex]

hope helpful :D

By using the parallel condition and the fact that the distance to the origin is the same, we will see that a = 1 and b = 2.

First, remember that two lines are parallel if have the same slope and different y-intercept.

In this case, we know that

y = a*x - 1

b*y - (a + 1)*x = 2

Are parallel, if we write both of them in the slope-intercept form, we get:

y = a*x - 1

y = (a + 1)*x/b + 2/b

Note that because both of the lines are parallel, the slopes must be equal, then we have that:

(a + 1)/b = a

Then if we know that the distance of both lines to the origin is the same, we have that:

|-1/(√(a^2 + 1))| = | (2/b)/(√(((a + 1)/b)^2 + 1))|

Because the slopes are equal the denominators are equal, this means that:

|-1| = |2/b|

And the y-intercepts must be different, this means that:

b = 2

now we can solve:

(a + 1)/b = a

(a + 1)/2 = a

a + 1 = 2a

1 = 2a - a = a

a = 1 and b = 2.

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The equation x^2−2x+c=0 is an illustration of a quadratic equation

The value of c is 1

The equation is given as:

x^2 -2x + c = 0

A quadratic equation is represented as:

ax^2 + bx+ c = 0

When the quadratic equation  has two roots of one sign, the following equation is true

b^2 =4ac

So, we have:

(-2)^2 =4 * 1 * c

Evaluate the exponent and the product

4 = 4c

Divide both sides by 4

c= 1

Hence, the value of c is 1

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The answer to this problem is:

0<c<1

Answer:

Any ratio where the original sides are both multiplied by the same number.

For example,

4 : 5  (your ratio)

4 x 2 : 5 x 2  (multiply both sides by a number)

8 : 10   (equivalent ration)

well, if take a year to be 365 days so hmmm 150 days is really just 150/365 of a year, so let's use that.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$11000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\to \frac{150}{365}\dotfill &\frac{30}{73} \end{cases} \\\\\\ A=11000[1+(0.09)(\frac{30}{73})]\implies A=11000\left( \frac{757}{730} \right)\implies A\approx 11406.85[/tex]

Formula for Pythagorean theorem is a squared plus b squared equals c squared. The longest side is c and the rest is a and bb. Since we already have c we use formula a squared equals c squared minus b squared. AsquaredsquaredsquaredsquaredAsquaredsquaredsquaredsquared my thing is broken so I can't continuecontinue. Hope this helpshelps though

Answer:

1/4

Step-by-step explanation:

[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]

Assuming the number cube has faces number 1 through 6, the probability of rolling any of the number is 1/6.

Therefore,

P(odd number) = P(1) or P(3) or P(5)

                         = 1/6 + 1/6 + 1/6

                         = 3/6

                         = 1/2

Similarly,

P(even number) = P(2) or P(4) or P(6)

                           = 1/6 + 1/6 + 1/6

                           = 3/6

                           = 1/2

⇒ P(odd) AND P(even) = 1/2 × 1/2 = 1/4

Answer:

The bother's weight is 46.5 lb.

Step-by-step explanation:

Let the brother's weight be b.

Antonio's weight is 2b + 4.

Antonio's weight is 97 lb.

2b + 4 = 97

2b = 93

b = 46.5 lb

Answer: The bother's weight is 46.5 lb.

Answer:

add two side by side values

Step-by-step explanation:

there are 5 values at the base of the pyramid.

4, 6, 3, 7 and 2

let's look at 6 and 3 first. when you add them together, you will get 9, which make up the upper layer of the pyramid. we can also support this statement when you add 7 with 2, which is also 9. so when you take 4 and add with 6, you will get 10, when you add 3 and 7, you will get 10.

now, let's see the second bottom layer. we get the answers as 10 in both blanks. so, add 10 with 9 and you will get 19, repeat with the other. so, the third layer will be 19, 19 and 19. to make the third layer complete, add 19 with 19, which will be 38. so, the fourth layer will be 38 and 38. add 38 with 38 and you will get 76 at the top of the pyramid.

Answer:

35 cm²

Step-by-step explanation:

Area of the 2 triangles combined:

1/2 x 4 x 5 = 10

Area of the square:

5 x 5 = 25

10 + 25 = 35

4×4 or 4×5 perimeter times area

Answer:

A Translation 2 units left and 1 unit down

Step-by-step explanation:

Step-by-step explanation:

15 = 3/5 x = 3x/5

75 = 3x

x = 25 ounces

Answer:

48/24

Step-by-step explanation:

You didn't say which one is line BC so I'm going to give you the answer 48 for the entire line but if you are asking for the middle point to end point then it is 24.

Answer:

A on edge

Step-by-step explanation:

:)

A triangle is a three-edged polygon with three vertices. The length of QS is equal to 17 units.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Given that the Line l is a perpendicular bisector of line segment RQ and bisects it at point T. Therefore, the length of the two lines is,

RT = QT

Now, in ΔRST and ΔQST,

RT ≅ QT

ST ≅ ST {Common side}

Now, since the two triangles are the right-angled triangle, therefore, the two triangles are congruent. Thus, we can write,

RS = SQ

Given that the Line segment, RS is 3x+2. Line segment SQ is 5x-8.

RS = SQ

3x + 2 = 5x - 8

2 + 8 = 5x - 3x

10 = 2x

x = 5

QS = 5x - 8

     = 5(5) - 8

     = 25 - 8

     = 17 units

Hence, the length of QS is equal to 17 units.

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Answer:

48

Step-by-step explanation:

vertical angles are equal

Answer:

48

Step-by-step explanation:

This is because vertical angles (which is opposite of each other when the two lines cross) are congruent, meaning they have the same angles.

Step-by-step explanation:

total money she has = $25

she bought a gallon of milk for $3.50

amount remaining = 25-3.50 = $21.50

number of cereal she can buy with the remaining amount =21.50/4.50 = 4.77 boxes

she can buy 5 boxes (approximately)

Answer:

4

Step-by-step explanation:

(12y2-2y+18)/(4y2-y+6)=3-2+3=4

Answer:

Rs 2464

Step-by-step explanation:

Given:

To find:

Solution : A/C to given data;

[tex]Length = 2 * Breadth\\L = 2 * B[/tex]---> (1) and [tex]Breadth = 2 * Height\\B = 2 * H[/tex]----> (2)

A/C to given data let, structure of room is cuboidal.

Now, we have to find out the height of the room, so we use formula of volume of the cuboid.

[tex]Volume of the room = L * B * H[from given data, and eq. {1} and eq. {2}][/tex]

[tex]512 = 2B * 2H * H[/tex]

[tex]512 = 2 * 2H * 2H * H[/tex]

[tex]512 = 4H * 2H^{2}[/tex]

[tex]512 = 8H^{3}[/tex]

[tex]H^{3} = \frac{512}{8}[/tex]

[tex]H^{3} = 64[/tex]

[tex]H = \sqrt[3]{64}[/tex]

[tex]H = 4 m[/tex]

[tex]Now, put\\ value\\ of \\H \\in \\eq. {2}[/tex]

[tex]B = 2 * H[/tex]

[tex]B = 2 * 4[/tex]

[tex]B = 8 m[/tex]

[tex]\\[/tex]Now, put value of B in eq. {1}

[tex]L = 2 * B[/tex]

[tex]L = 2 * 8[/tex]

[tex]L = 16 m[/tex]

Now, we have to find out area of the room, so we use formula of total surface area of cuboid.

[tex]Area of the room = 2*L*B + 2*L*H + 2*H*B[/tex]

[tex]Area of the room = 2 * 16 * 8 + 2 * 16 * 4 + 2 * 4 * 8[/tex]

[tex]Area of the room = 32 * 8 + 32 * 4 + 8 * 8[/tex]

[tex]Area of the room = 256 + 128 + 64[/tex]

[tex]Area of the room = 384 + 64[/tex]

[tex]Area of the room = 448 m^{2}[/tex]

Now, to find out room wall plastering cost

[tex]Room wall plastering cost = Area of the room * cost of plastering per ^{2}[/tex]

[tex]Room wall plastering cost = 448 * 5.50[/tex]

[tex]Room wall plastering cost = Rs 2464[/tex]

[tex]ence, the room wall plastering cost is Rs 2464.[/tex]

Mikhail is 9

Step-by-step explanation:

Divide 27 by 3 because G is 2 times than Mik. So G=2 Mik=1. and 27 divided 3 is 9

Answer:

the numbee from left to right :

-1.5

-0.25

0.75

1.25

2.25

Answer:

-3/2, -15%, 0.80, 143%, 2 1/4

Step-by-step explanation:

Convert the fractions into decimals:

2 1/4 = 2.25

-15% = -0.15

143% = 1.43

-3/2 = -1.5

0.80 = 0.80

The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4

Hope this helps :)