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For which function is f(-x) = f(x)?
(A) f(x) = sqaure root x
(B) f(x) = 2x
(C) f(x) = x2
(D) f(x) = x2
(E) f(x) = 2^x​

Answer:

Approximately 6.642 years

Step-by-step explanation:

The given parameters are;

The amount in the deposit account = $6,000

The time in which the money will have trebled at 11% compound interest, is given as follows;

[tex]A = P\times \left (1 + \dfrac{r}{n} \right )^{n\cdot t}[/tex]

Where;

A = The amount at the end of the period

P = The amount in the deposit = $6,000.00

r = The rate of interest = 11%

t =  The periods that elapsed

n = The number of times the interest is applied per period of time, t = 1

For the money to have trebled, the amount generated at the end of the period will be 200% the amount deposited

Therefore, we have;

Amount, A, at the end of period = 200/100× $6,000 = $12,000

Substituting the values into the formula for the formula, we have;

[tex]\$ 12,000 = \$ 6,000\times \left (1 + \dfrac{0.11}{1} \right )^{1\times t}[/tex]

Which gives;

[tex]\$ 12,000 = \$ 6,000\times \left (1 + {0.11} \right )^{t}[/tex]

[tex]\left (1 .11} \right )^{t} = \dfrac{ \$ 12,000}{\$ 6,000} = 2[/tex]

t = ㏒(2)/(㏒(1.11)) ≈ 6.642 years which is approximately 6 years, 7 months and 24 days

Answer is b) 2/5

good luck

Answer:

C

Step-by-step explanation:

C on edge

Considering the discount and the sales tax, the equation that represents the situation is:

[tex]C(x) = 0.6955x[/tex]

-------------------------------

Thus, the equation that represents the cost is:

[tex]C(x) = x \times 0.65 \times 1.07 = 0.6955x[/tex]

A similar problem is given at https://brainly.com/question/23721710

Answer: 12 miles

Step-by-step explanation:

Ok, we know that:

Distance = Time*Speed.

or:

D = T*S

The distance between the house and the school is constant, and suppose that T is the exact time such that you arrive just in time, then:

" If you  drive at an average speed of 45 mph, you arrive 1 min early  for the first bell. "

We can write this as:

D = (T - 1min)*45mi/h.

"If you drive at an average speed 40 mph,  you arrive 1 min late."

We can write this as:

D = (T + 1min)*40mi/h.

So we have a system of linear equations:

D = (T - 1min)*45mi/h.

D = (T + 1min)*40mi/h.

First, 1 hour has 60 mins, then 1 min = (1/60) hours.

We do this change because in the system of equations we have minutes and hours, and we can only work with one unit, now we can write the equations as:

D = (T - (1/60)h)*45mi/h.

D = (T + (1/60)h)*40mi/h.

now, we can write:

D = (T - (1/60)h)*45mi/h. = (T + (1/60)h)*40mi/h.

Now we can solve this for T.

(T - (1/60)h). = (T + (1/60)h)*(40/45)

T = (T + (1/60)h)*(40/45) + (1/60)h

T - T*40/45 = (1/60)h*(1 + 40/45) = 0.031 h

T*(1 - 40/45) = 0.031 h

T = 0.031h/(1 - 40/45) = 0.283... hours

Now, to find the distance to the school we can replace this time in one of the equations:

D = (T + (1/60)h)*40mi/h. = (0.283...h + (1/60)h)*40mi/h = 12 miles.

Answer:

cos 315°   =   45° reference angle in the 4th quadrant =  √2 /2

And sin 315°    is the negative of this

So  

z = (3) cos 315°  + ( 3i ) sin 315°  =

[   (3/2)√2  ,  - (3/2) √2 i  ]

Answer:

3x - 4 = 12

3x = 12 + 4

3x = 16 (divide both sides by 3 to get x)

3x/3 = 16/3

x = 5.333.......

Answer:

x = 8

Step-by-step explanation:

Standard form for inverse variation:

y = k/x

We now use the given information to find k.

y = 6 when x = 24

6 = k/24

k = 6 * 24

k = 144

The equation for this inverse relation is

y = 144/x

For y = 18, we get

18 = 144/x

18x = 144

x = 144/18

x = 8

Answer:

Step-by-step explanation:

To find the value of x when y = 18 we must first find the relationship between them.

The statement

y varies inversely as x is written as

where k is the constant of proportionality

From the question when

y = 6

x = 24

Substitute the values into the above equation

That's

Cross multiply

That's

k = 24(6)

k = 144

So the formula for the variation is

When

y = 18

Cross multiply

18x = 144

Divide both sides by 18

Hope this helps you

Answer:

see explanation

Step-by-step explanation:

Given

10 = 7 - m ( subtract 3 from both sides )

3 = - m ( multiply both sides by - 1 )

- 3 = m , or

m = - 3

As a check

Substitute m = - 3 into the right side of the equation and if equal to the left side then it is the solution

7 - m = 7 - (- 3) = 7 + 3 = 10 = left side

Thus m = - 3 is the solution to the equation

Answer:

The distance from Platform B to Platform C is 26.926 units

Step-by-step explanation:

The given parameters are;

The zip-line course distance from platform A to platform F are given;

On the given graph of the path of travel we have;

Coordinates of the point B = (-25, -20) and the coordinates of the point C = (-15, 5)

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given by the formula;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, the distance between B and C is found by substituting (-25, -20) = (x₁, y₁) and (-15, 5) = (x₂, y₂)

Which gives;

[tex]l = \sqrt{\left (5-(-20) \right )^{2}+\left ((-15)-(-25) \right )^{2}} = 26.926 \ units[/tex]

The distance from points B to C = 26.926 units.

Answer:

See Below:

Step-by-step explanation:

Tenths place is just 1 decimal place thus it is 5.0

Answer:

mBC ≈ 20.5

Step-by-step explanation:

Law of Sines: [tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

Simply plug in it into the formula.

Step 1: Define variables

c = 16

C = 52°

A = 84°

BC = x

Step 2: Plug into formula

[tex]\frac{16}{sin51} =\frac{x}{sin84}[/tex]

Step 3: Solve

[tex]sin84(\frac{16}{sin51}) = x[/tex]

x = 20.4754

x ≈ 20.5

Answer:

Step-by-step explanation:

Given function in the vertex form is,

f(x) = (3x + 13)² + 89

    = [tex]9(x+\frac{13}{3})^{2}+89[/tex] --------(1)

Vertex of the parabola → [tex](-\frac{13}{3},89)[/tex]

If the standard equation of this function is,

f(x) = 9x² + 2x + 1

We will convert it into the vertex form,

f(x) = 9x² + 2x + 1

    = [tex]9(x^{2}+\frac{2}{9}x)+1[/tex]

    = [tex]9[x^{2}+2(\frac{1}{9})x+(\frac{1}{9})^{2}-(\frac{1}{9})^2]+1[/tex]

    = [tex]9[x^{2}+2(\frac{1}{9})x+(\frac{1}{9})^{2}]-9(\frac{1}{9})^2+1[/tex]

    = [tex]9[x^{2}+2(\frac{1}{9})x+(\frac{1}{9})^{2}]-(\frac{1}{9})+1[/tex]

    = [tex]9(x+\frac{1}{9})^2+\frac{9-1}{9}[/tex]

    = [tex]9(x+\frac{1}{9})^2+\frac{8}{9}[/tex] -------(2)

Vertex of the function → [tex](-\frac{1}{9},\frac{8}{9})[/tex]

Equation (1) and (2) are different and both the equations have different vertex.

Therefore, given equation doesn't match the equation given in the vertex form of the function.

Answer:

The area of cheese is 388π cm.

Step-by-step explanation:

Given that,

Radius of pizza = 20 cm

Number of pieces = 12

Radius of circle = 1 cm

We need to calculate the area of pizza

Using formula of area

[tex]A=\pi\times r^2[/tex]

Put the value into the formula

[tex]A=\pi\times20^2[/tex]

[tex]A=400\pi\ cm^2[/tex]

We need to calculate the area of circle

Using formula of area

[tex]A'=\pi\times r^2[/tex]

Put the value into the formula

[tex]A'=\pi\times1^2[/tex]

[tex]A'=\pi\ cm^2[/tex]

Now, we multiply the result by 12 because they are 12 salamis.

So. the area of salamis will be

[tex]A'=12\pi\ cm^2[/tex]

We need to calculate the area of cheese

The total area of ​​the pizza and subtract the area of ​​the salamis

[tex]A''=A-A'[/tex]

Put the value in to the formula

[tex]A''=400\pi-12\pi[/tex]

[tex]A=388\pi\ cm^2[/tex]

Hence,  The area of cheese is 388π cm.

Answer:

x = w / (56 + r)

Step-by-step explanation:

Given the equation :

19x + rx= -37x + w ; find x

Collecting like terms

19x + rx + 37x = w

Factorizing x in the Left hand side

x(19 + 37 + r) = w

x(56 + r) = w

Therefore we can obtain x by dividing both sides by (56 + r)

x(56 + r) / (56 + r) = w / (56 + r)

x = w / (56 + r)

Answer:

[tex]\large\boxed{y=-\frac{3}{2}x+\frac{3}{2}}[/tex]

Step-by-step explanation:

Use the two-points slope equation: [tex]\boxed{m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]

Given the two coordinate points of [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex], implement these values into the equation and solve for m.

[tex]m=\frac{(3)-(6)}{(-1)-(-3)}\\\\m=\frac{(-3)}{(2)}\\\\m=-\frac{3}{2}[/tex]

The slope is then placed in the equation - y = -3/2x + b.

Then, insert a value for y and x from the same coordinate point to solve for b.

[tex]6=-\frac{3}{2}(-3)+b\\\\6=\frac{9}{2}+b\\\\\frac{3}{2}=b[/tex]

Then, plug it all in to get [tex]\large\boxed{y=-\frac{3}{2}x+\frac{3}{2}}[/tex].

Answer:

y=-3/2x  

Step-by-step explanation:

First, find the slope with y2-y1/x2-x1=m

3-6                      m=-3/2

--------- =

-1-+-3

Now plug it in to point slope form

Point slope form is y-y1=m(x-x1)

y-3=-3/2(x--1)       Distribute -3/2 to x and 1

y-3=-3/2x-3         Add three on both sides to get y alone

y=-3/2x                Three's cancel out. This is the final equation.

Answer:

[tex]\Huge \boxed{2(-5x+11)}[/tex]

Step-by-step explanation:

[tex]7 - 3(2x - 5) - 4x[/tex]

Expanding brackets.

[tex]7-6x+15-4x[/tex]

Grouping like terms.

[tex](-6x-4x)+(7+15)[/tex]

Combining like terms.

[tex]-10x + 22[/tex]

Factoring the expression.

[tex]2(-5x+11)[/tex]

Answer:

15.1

Step-by-step explanation:

15.1 times 15.1 = 228.01

Answer:

Nearest hundredth of 228 is 200 so the square root of 200 is 10under root 2.

Step-by-step explanation:

Hope it will help you :)

Answer:568.58

Step-by-step explanation:

Tan(35)=h/1200

1200tan(35)=h

568.57766=h

568.58

Answer: The correct answer is point and line. Explanation: These are two of the fundamental undefined terms in geometry. A line segment is a part of a line that has two defined points at each end; therefore "line" and "point" are used in the definition.

Step-by-step explanation:

The undefined terms which are needed to define a line segment are Point and line.

Learn more about Line segment:

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Answer:

  use the actual dimensions on your drawing

Step-by-step explanation:

"Full scale" simply means you use the actual object dimensions on your drawing of it.

If you don't know the meaning of "plan view", "front elevation", or "side elevation," you may need to consult your curriculum materials or any of numerous references on mechanical drawing.

For this object, I would say a "front elevation" is the view from the point marked "Y". A "side elevation" is the view from the point marked "X". A plan view is the view from above.

__

If you draw, on paper, patterns for cutting out the pieces that make up the object, you will be well on your way to making the required drawings. For example, the face ABCPEF would represent the front elevation. (The only thing added on the drawing of it is a dashed line representing hidden line RQ 1 cm below line AB.)

The side elevation is the shape of AQHGF on top of the shape EMLD. On your drawing of it, the line for EM is the same line as the line representing FG.

The top (plan) view is the shape CPNK with lines in the appropriate places to represent the edges EM, FG, and RQ.

__

Orthogonal views of an object like this are different from the kind of drawing you would make if you were trying to make a "net" for folding or calculating surface area. A net has every face actual size. Here, every face is represented the way it would be seen from a given direction. Slanted faces never show up actual size.

Answer: Choice A

If the compass isn't open wide enough, then the arcs won't intersect forming the points we need to create the perpendicular bisector.

Check out this link to see my response to the identical question answered 2 days ago

https://brainly.com/question/17191122

feel free to ask any questions you have if you're still stuck

Answer:

a

Step-by-step explanation:

Answer:

(15x - 4) units

Step-by-step explanation:

5x-2 + 4x-4 + 6x - 8

15x - 14

One way to do it is by cleverly rewriting terms and using some basic algebraic identities:

[tex]4^n\cdot 2^{-18}=1[/tex].

[tex]2^{2n-18}=2^0[/tex].

[tex]2n-18=0[/tex].

[tex]n=18/2=\boxed{9}[/tex].

Another way would be to use logarithms, namely:

[tex]4^n\cdot2^{-18}=1\implies n=\log_4\Big({\frac{1}{2^{-18}}}\Big)=\boxed{9}[/tex].

Hope this helps.

Answer:

n = 9.

Step-by-step explanation:

4^n = 1 / 2^-18

4^n = 2^18

2^2n = 2^18

2n = 18

n = 9.

Answer:

[tex]|RS| = \sqrt[3]{19}[/tex]

Step-by-step explanation:

The computation of the magnitude is shown below:

Data provided in the question

Given points

R(3,7,-1), S(10,-4,0)

Now the distance lies between R and S

RS = (10 ,-4, 0) - ( 3 ,7, -1 )

     = (10 - 3, -4 - 7, 0 - (- 1))

     = (7, - 11, 1 )

After that, the magnitude is determined by using the following calculation part

[tex]|RS| = \sqrt{(7)^2 + (-11)^2 + (1)^2} \\\\ = \sqrt{49 + 121 + 1} \\\\ = \sqrt{121}\\\\ = \sqrt[3]{19}[/tex]

Answer:

Hey there!

A pie graph is best used for looking at the percentages in each category.

Let me know if this helps :)

Answer:

Pie charts are used to show percentage or proportional data.

Answer:

x = 0

Step-by-step explanation:

Hello!

2(x + 4) - 5 = 3x + 3

Distribute the 2

2x + 8 - 5 = 3x + 3

Combine like terms

2x + 3 = 3x + 3

Subtract both sides by 2x

3 = x + 3

Subtract both sides by 3

0 = x

The answer is x = 0

Hope this helps!

Answer: [tex]x=0[/tex]

Simplify both sides of the equation

[tex]2(x-4)-5=3x+3\\(2)(x)+(2)(4)+-5=3x+3(Distribute)\\2x+8+-5=3x+3[/tex]

[tex](2x)+(8+-5)=3x+3[/tex](Combine Like Terms)

[tex]2x+3=3x+3[/tex]

Subtract 3x from both sides

[tex]2x+3-3x=3x+3-3x\\-x+3=3[/tex]

Subtract 3 from both sides

[tex]-x+3-3=3-3\\-x=0[/tex]

Divide both sides by -1

[tex]-x/1=0/-1\\x=0[/tex]

Answer:

There could be many situations that use this ratio, but one example could be For every 4 pencils purchased 1 large eraser will be purchased.

But, as said before anything can be used as an example.

Answer:

D. 76

Step-by-step explanation:

a = 90°

a + b + 14 = 180°

90 + b + 14 = 180°

b = 180 - (90 + 14 )

b = 76°

The measure of ∠ b is 76°.

A Cyclic Quadrilateral is defined as a quadrilateral that is contained by a circle is referred to as a cyclic quadrilateral. This indicates that a circle connects the quadrilateral's four vertices. Concyclic vertices are referred to as such. Circumcenter and circumradius are terms used to describe the circle's center and radius, respectively.

According to given figure as:

Angle ∠ a = 90°

∠ a + ∠ b + 14° = 180°   ( three angles of triangle)

90 + ∠ b + 14 = 180°

∠ b = 180 - 90 - 14

∠ b = 180 - 104

∠ b = 76°

Hence, the measure of ∠ b is 76°.

Learn more about Cyclic Quadrilateral here:

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Answer:

60%

Step-by-step explanation:

Cameras sold on Day 4 = 25, on Day 5 = 40

The difference in numbers of sold cameras = 40 - 25 = 15

The increase is 15 cameras.

Percentage increase:

Answer is 60% increase on Day 5 compared to Day 4