If f(x) = (x-6)(x +12), determine the x-intercepts of y = f(-3x).
Show your work.

Answer:

neither

Step-by-step explanation:

it is neither because there is not a consistent pattern for linear, and there is not a consistent ratio so it also cannot be exponential

Answer:

[tex]Area = 93.21in^2[/tex]

Step-by-step explanation:

Given

[tex]\theta \to[/tex] vertex angle

[tex]\alpha \to[/tex] base angle

[tex]\theta = 3\alpha[/tex]

[tex]l = 14in[/tex] -- congruent sides

Required

The area of the triangle

First, calculate the angles

[tex]\theta + \alpha + \alpha = 180^o[/tex] ----- angles in an isosceles triangle

Substitute [tex]\theta = 3\alpha[/tex]

[tex]3\alpha + \alpha + \alpha = 180^o[/tex]

[tex]5\alpha = 180^o[/tex]

Divide both sides by 5

[tex]\alpha = 36^o[/tex]

Recall that: [tex]\theta = 3\alpha[/tex]

[tex]\theta = 3 * 36^o[/tex]

[tex]\theta = 108^o[/tex]

The area is then calculated as:

[tex]Area = \frac{1}{2}l^2 \sin(\theta)[/tex]

[tex]Area = \frac{1}{2}*14^2 \sin(108^o)[/tex]

[tex]Area = \frac{1}{2}*196 *0.9511[/tex]

[tex]Area = 93.21in^2[/tex]

Use the Pythagorean theorem to calculate the distance from the wall the ladder originally is:

x = sqrt(30^2 - 24^2)

x = sqrt(900-576)

x = sqrt(324)

x = 18

The ladder was originally 18 feet from the wall. Moving the ladder 3 feet further away makes the new distance 18 + 3 = 21 feet.

Now use the Pythagorean theorem again to find the new height of the ladder.

Height = sqrt(30^2 - 21^2)

Height = sqrt(900 - 441)

Height = sqrt(459)

Height = 21.42

Rounded to the nearest tenth = 21.4 feet.

Answer:89

Step-by-step explanation:

23+9

Answer:

1. Juan necesita 0,0051 hl en total.

2. Juan no tendrá suficiente con una lata de medio litro.

Step-by-step explanation:

1. Para calcular el volumen total en hl, primero debemos convertir todas las unidades a hl.

Para el coche verde:

[tex] V_{1} = 3 dl*\frac{1 hl}{1000 dl} = 0,003 hl [/tex]

[tex] V_{2} = 75 ml*\frac{1 hl}{100000 ml} = 0,00075 hl [/tex]    

Para el coche azul:    

[tex] V_{3} = 13 cl*\frac{1 hl}{10000 cl} = 0,0013 hl [/tex]

[tex] V_{4} = 5 ml*\frac{1 hl}{100000 dl} = 0,00005 hl [/tex]    

Ahora, para encontrar el volumen total debemos sumar todos los volúmenes anteriores:

[tex] V_{T} = V_{1} + V_{2} + V_{3} + V_{4} = 0,003 hl + 0,00075 hl + 0,0013 hl + 0,00005 hl = 0,0051 hl [/tex]

Por lo tanto, Juan necesita 0,0051 hl en total.

2. Luego, para saber si tendrá suficiente con una lata de medio litro, debemos convertir el volumen total de hl a l:

[tex] V_{T} = 0,0051 hl*\frac{100 l}{1 hl} = 0,51 l [/tex]

Entonces, dado que el volumen total es 0,51 litros Juan no tendrá suficiente con una lata de medio litro porque necesita cubrir 0,01 litros más.  

Espero que te sea de utilidad!

Answer:

Equation: 2 x 8 = 16

Step-by-step explanation:

1.8 ≈ 2

8 ≈ 8

2 x 8 = L

L = 16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

it is a 1

Step-by-step explanation:

Answer:

first option 7.331 × 10^6

Answer:

7.331×10E6

( E means the exponent just letting u know :)

Answer:

Step-by-step explanation:

cylinder's height=3×(diameter of sphere)=3×6=18 cm

radius of cylinder=3 cm

volume of cylinder=π r²h=π(3)²×18=162 π cm³

volume of sphere=4/3 π(3)³=36 π cm³

reqd. empty space=162 π-3×36π=54 πcm³

Answer: the savings account one is linear, the enrollment of students is linear, the investment is exponential as well as the cars value, the speed of the truck is neither (not fully sure) and the temperature outside is linear

Step-by-step explanation: linear means in a straight line without curves meaning if the question mentions percentages it’s automatically not linear as percentages tend to curve. Exponential means it curves which has direct connections to percentages and getting multiplied by

Hope this helps you

Answer: 28.6

Step-by-step explanation:

Answer: √ 4A /π or  13.996450848446

Step-by-step explanation:

D = 2R

C = 2πR

A = πR2

where:

R: Radius

D: Diameter

C: Circumference

A: Area

π: 3.14159

Answer:

[tex]\frac{2}{5}[/tex] of the jar contains red gumballs

Step-by-step explanation:

Hi there!

What we know:

To find the fraction of red gumballs in the whole jar, multiply the fractions:

Red gumball fraction × Total gumball fraction

[tex]= \frac{3}{5}*\frac{2}{3}\\= \frac{2}{5}[/tex]

Therefore, red gumballs contain [tex]\frac{2}{5}[/tex] of the whole jar.

I hope this helps!

Answer:

1 is the answer

Step-by-step explanation:

10^0 on the calculator is 1

Answer:

1. x = -45

2. 1 +- squareroot 17 over 2

Step-by-step explanation:

note* ^ plus minus

Step-by-step explanation:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Answer:

answer 1/2

Step-by-step explanation:

y-3=-2(x-4)

y-3=-2x+8

y=-2x+11

y=mx+c

m= slope which is -2

because it perpendicular It became 1/2

Answer:

[tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Calculus

Derivatives

Derivative Notation

Derivative of a constant is a 0

Basic Power Rule:

Derivative Rule [Quotient Rule]:                                                                               [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle f(x) = \frac{-7}{x}[/tex]

[tex]\displaystyle x = -3[/tex]

Step 2: Differentiate

Step 3: Solve

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

[0, infinity

Step-by-step explanation:

It's essential to type "sqrt(x)" or "√x," which are vastly different from the linear function y = x + 1.

The domain of the square root function is [0, infinity).

Adding 1 to this merely shifts the entire graph up 1 unit.

So the domain of y = √x + 1 is the same as before:    [0, infinity

Answer:

7 - z = 0

- z + 7 = 0

- z = - 7

z = 7

Thus, The answer is 7

-TheUnknownScientist

[tex]\text{State Income Tax Rate: }6.65\%, \\\text{Deduction: }\$7,702.03[/tex]

Answer:

State income tax: [tex]6.65\%[/tex]

Step-by-step explanation:

Based on the interface, it seems like you have chosen lawyer as a career with the given salary of $115,820.

The chart given for state income tax is broken into two categories:

$21,400-$80,650 => 6.45%

$80,651-$215,400 => 6.65%

Since the chosen career's salary is $115,820, the career falls into the second range of 6.65% state income tax.

The deduction is simply the amount of money taxed. For a 6.65% state income tax, the deduction can be found from:

[tex]115,820\cdot 0.0665=\boxed{\$7,702.03}[/tex]

Answer:

C, the binder and the stapler do because 9+5=14

Step-by-step explanation:

Answer:

The binder and the stapler do

Pls mark Brainliest :)

Step-by-step explanation:

football waz good and ther was funi monke that go "haha funi monke go stinky poopoo hahahahahhaha".

Answer:

X < 9

The hallow circle means just greater than or less than

The numberline is pointing downwards showing that 9 is greater than x(unknown value)

The point is also on 9

Answer:

52ft

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Dababy approved.

Answer:

b = 5

Step-by-step explanation:

This triangle is a 30 - 60 - 90 special right triangle

As you can see in the image provided below the longer leg is equal to the short leg times √3

This means that the short leg is equal to the long leg divided by √3

Thus, b = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex] which is equivalent to 5