calculate f (x) = 3 - | 2 - 3x| when x = - 5

The range of the given quadratic function is from x(-4,0 ) y(0,4 ) to x(4,0).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values. The domain of the function is defined as the set of all the possible values of the function.

Here in the graph of the function g(x) = ( -1/4)x + 4 the range of the function is from ( -4,0 ) to (4,0) at x-axis and ( 0,4) to y-axis we can see in the graph.The domain of the function is defined as the set of all the possible values of the function.

Therefore the range of the given quadratic function is from x(-4,0 ) y(0,4 ) to x(4,0).

The complete question is given below:-

what is the range and domain of the function g(x) = ( -1/4)x + 4?

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Answer: 120

Step-by-step explanation:

The interior angle of the 12-sided polygon is

[tex]\frac{180(12-2)}{12}=150^{\circ}[/tex]

So, if we consider the triangle with angle x, two of its angles are each [tex]30^{\circ}[/tex] since they are supplementary to the interior angle of the 12-sided polygon.

Therefore, as angles in a triangle add to 180 degrees, x=120.

The value of the y-intercepts of f(x) and g(x) is f(0), g(0) which gives -4.

An equation is an expression that shows the relationship between two or more variables and numbers.

The y intercept of an equation is the value of the function when x = 0.

Given that f(x) = -4(1.09)ˣ

f(0) = -4(1.09)⁰ = -4

From the table of g(x), when x = 0, g(0) = -4

The value of the y-intercepts of f(x) and g(x) is f(0), g(0) which gives -4.

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The age of the brothers Caleb, Amir and Balu is 44 years, 22 years, and 33 years respectively.

An equation is a mathematical statement with an 'equal to=' symbol between two expressions that have equal values.

Here, Let the age of the Caleb's be x years.

then age of Amir's be x/2 years.

also age of Balu's be 3x/4 years.

In 5 years,

Caleb's age = (x+5) years

Amir's age = (x/2 + 5) years

Balu's age = (3x/4 + 5) years

Now, According to question;

Amir's age + Balu's age = 16 + Caleb's age

(x/2 + 5) + (3x/4 +5) = 16 + (x + 5)

x/2 + 3x/4 - x = 16 + 5 - 5 - 5

(2x + 3x - 4x)/4 = 11

x/4 = 11

x = 4 X 11

x = 44

Now, Caleb's age = 44 years

         Amir's age = 44/2 = 22 years

         Balu's age = 3X44/4 = 33 years

Thus, the age of the brothers Caleb, Amir and Balu is 44 years, 22 years, and 33 years respectively.

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The value of ? and X are 12 and 24 respectively

A triangles is 2D shape with three sides and angles.

From the given diagram, the ratio of similar sides is equal to a constant as shown;

15/20 = 9+15/20+x

Cross multiply

15/9+15 = 20/20+x

15/24 = 20/20+x

Comparing with the given ratio

? = 24

X = 20+x

Find x

15(20+x) = 480

300 + 15x = 480

15x = 180

x =12

Fro the given expression

x/32 = 9/?

12/32 = 9/?

12 ? = 32 * 9

? = 24

Hence the value of ?and x from the given diagram is 12 and 24 respectively

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Answer:

y = 1/2 x -2

Step-by-step explanation:

rise/run from (-6, -5) to (-4, -4) = 1/2

(rise 1, run 2)

meaning that slope (m) = 1/2

we can now rewrite our points in y=mx + b formatting:

y = mx + b

-5 = (1/2)(-6) + b

-4 = (1/2)(-4)+b

now, let's solve for b

-5 = (1/2)(-6) + b

-5 = -3 + b

-2 = b

-4 = (1/2)(-4)+b

-4 = -2 + b

-2 = b

So, the equation for our line is y = [tex]\frac{1}{2}[/tex] x- 2

hope this helps!! have a lovely day :)

Answer: y = 1/2x - 2

Step-by-step explanation: it’s right on khan academy (picture for proof)

Answer:

Could you please put a picture of the problem?

Step-by-step explanation:

We don't know what you are trying to solve.

Answer:

210

Step-by-step explanation:

70/5=L/15

70/5=14

14×15=L

L=210

Answer:

30

Step-by-step explanation:

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

[tex]15 + 15[/tex]

[tex]30[/tex]

hope it was helpful. any confusion u may ask

Step-by-step explanation:

The answer is 30 the value of X and y is given that put them in 5x-3y

Answer:

SHould be 11.6 degrees

Answer:

See below

Step-by-step explanation:

7 + 15 e^(1-3x) = 10        start by subtracting 7 from both sides

15  e^(1-3x) = 3               now divide both sides by 15

e ^(1-3x) = .2                   now take the ln  of both sides

1-3x = -1.6094379          subtract 1 from both sides

-3x = = 2.6094379         divide both sides by -3

x = .869813

Answer:

Search it up ok ,that's all you can do

Transformation is the movement of a point from its initial location to a new location. Dilation can be used to scale down a map so that it can be plotted on a paper.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Dilation is the increase or decrease in the size of a figure.

Dilation can be used to scale down a map so that it can be plotted on a paper.

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Answer:

The amount after 6 years is $25,533.34.

Step-by-step explanation:

Use the formula f(t)=P(1+b)^t.

Plug in the information.

f(6)=18000(1+0.06)^6

Plug in 18000(1.06)^6 into calculator.

25,533.344020608.

Round to 2 decimal places.

25,533.34

The amount after 6 years is $25,533.34.

Hope this helps!

If not, I am sorry.

The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1st.) x = 5 /Sin(30°)

x = 10

!) sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°) = 3√3 / x

x = 3√3 / 3

W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3 = 4√3 / 3

S) Sin(60°) = x / (10/3)

x = 5√3 / 3

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Answer:

1)65.9

2)326.6

3)13.6

4)8.0

Step-by-step explanation:

The trick is always to look at the number after the first decimal for rounding to 1 decimal place, if its above 5, you round it up to the next decimal; eg. 13.45 = 13.5 because the 5 will round it up,and if value below 5, you round it down; eg. 12.34 = 12.3 because the 4 is below 5 and the nearest 10th decimal is 3.

There are 15 / 2 ways to distribute 11 identical candies between 4 children such that each child receives at least 2 candies.

If we give child A four candies and so we were left with 9 candies.

In addition, we will take child A away from consideration to ensure he received exactly four candies, and thus we were left with 9 dots and 2 slashes, separating the 4 remaining distinct children.

So the possible ways are:  (11 + 4 / 2) = (15 / 2).

Problem-solving is the act of defining a problem; determining the purpose of the trouble; figuring out, prioritizing, and selecting alternatives for an answer; and imposing a solution.

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Answer:

1750

Step-by-step explanation:

A geometric progression is a sequence that involves a rate, causing a change in the subsequent values of the sequence with respect to the given rate.

The answers to the given question are as follows:

a. It is a geometric progression.

b. Radius of the 6th circle ≅ 23. 73 ft.

c. The total length, l, can be determined by: l = ∑0.75[tex]R_{i}[/tex], i = 1 to n.

Geometric progression involves a change in the subsequent values of a given sequence due to a rate. So considering the given question, the circular iceberg melts at a certain rate per hour. Thus its radius decreases at the given rate per hour.

a. Therefore it can be deduced that the question is on geometric progression.

b. To determine the radius of the 6th circle, the:

radius of the 1st circle = 100 ft

radius of the 2nd circle = 0.75 x 100

                                        = 75 ft

radius of the t3rd circle = 0.75 x 75

                                        = 56.25 ft

radius of the 4th circle = 0.75 x 56.25

                                         = 42.1875 ft

radius of the 5th circle = 0.75 x 42.1875

                                        = 31.640625 ft

radius of the 6th circle = 0.75 x 31.640625

                                      = 23.73046875 ft

Thus the radius of the 6th circle is approximately 23. 73 ft.

c. Since the process is assumed to continue forever, let the number of hours required to be represented by n, and each radius of the iceberg be represented by R.

So then, we can say that the total length, l, of all the circles' radii is will be given by:

              l = ∑0.75[tex]R_{i}[/tex], i = 1 to n

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Answer:

B- Jenny must have driven more than 48 miles.

Step-by-step explanation:

If Jenny rode for 60 at 48 mph, it would be exactly 48 miles. Though there is only 60 minutes in an hour, and Jenny rode 5 minutes longer than that, her drive being 65 minutes. To find how much she rode, 5 extra minutes into an hour would divide equally into 60, resulting in 12. Divide 48 by 12, and Jenny would have driven 4 miles in the 5 minutes drive after 60 minutes.

(Jenny basically driven 52 miles in 65 minutes).

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

Let's define some terms:

Let's find the domain:

   For log(x),

           ⇒ the only inputs that are accepted are nonnegative and nonzero

               ⇒ therefore: Domain is (0, ∞)

Now let's find out the range:

    The biggest constraint of the output is log(x)

         ⇒ however log(x) has a range of (-∞,∞)

             ⇒ therefore the entire equation's range is

                      (-∞,∞)

Answer:

Hope that helps!

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here is your answer

The following logarithmic equation is equivalent to the given exponential equation,

[tex]log_{4}(256) = c[/tex]

Computing the Equivalent Logarithmic Equation

The given exponential equation is,

[tex](4)^{c} = 256[/tex]

As per the fundamental properties of exponentiation, the logarithmic equivalent equation of any exponential equation has the same base as that in the corresponding exponential equation. Exponentiation refers to the act of raising a number to the power of another number.

In the exponential equation, [tex](4)^{c} = 256[/tex], $ is the base. So, the base in its equivalent logarithmic equation will also be 4.

The result of the exponential expression becomes the operand for the log.

Terms in a Logarithmic Equation

For the logarithmic equation, [tex]log_{4}(256) = c[/tex],

4 is called the base of the log. The variable  'c' is the logarithm of 256 to base 'a'.

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[tex] \frac{p {}^{2} + 1 - 3p }{4 - 3} = -1[/tex]

[tex]p {}^{2} - 3p + 1 = -1[/tex]

[tex]p {}^{2} - 3p +2 = 0[/tex]

[tex](p-2)(p - 1) = 0[/tex]

[tex]p = 2 \: \: \: \: \: p = 1[/tex]

Answer:

c.) y = -3x - 2

Explanation:

Given following:

Equation:

[tex]\sf y - y_1 = m(x - x_1)[/tex]

[tex]\sf y - 10 = -3(x - (-4))[/tex]

[tex]\sf y - 10 = -3(x + 4)[/tex]

[tex]\sf y = -3x -12 + 10[/tex]

[tex]\sf y = -3x -2[/tex]

The total money the dance team would have to spend on the new uniforms is  $1099.25.

Percentage can be described as a fraction of an amount expressed as a number out of hundred.

Total amount = (25% of the amount raised at the sale) + amount raised during the car wash

$356+ ( $25% x $2,973) = $1099.25

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