What's the function? f(x)=2x+7

-5

A function is where each input is related to exactly one output. Because -5 was already previously listed as an x value in an ordered pair, it can not be used in a function. Another way of thinking of a function is if it passes the vertical line test where a vertical line can only pass through your line once. Let me know if this doesn't make sense!

Given :

Worth of new car , C = $28000 .

Depreciates in value of car , D = 9 % .

To Find :

Use the variable y to represent the value of the car after t years.

Solution :

Depreciation formula is given by :

[tex]y=C(1-\dfrac{D}{100})^t[/tex]

Putting all given values , we get :

[tex]y=C(1-\dfrac{D}{100})^t\\\\y=28000\times (1-\dfrac{9}{100})^t\\\\y=28000( \dfrac{91}{100})^t[/tex]

Therefore , the required equation is [tex]y=28000( \dfrac{91}{100})^t[/tex] .

Hence , this is the required solution .

Answer:

1/6

I apologize if it is wrong.

The repeating decimal 16.666... as a fraction is 50/3.

We have,

Consider

x = 16.6666... ______(1)

Multiply 10 on both sides.

10x = 10 x 16.6666...

10x = 166.666..... ______(2)

Subtract (1) from (2).

10x - x = 166.666..... - 16.666...

9x = 150

x = 150/9

x = 50/3

Thus,

The repeating decimal as a fraction is 50/3.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer:

x = - 5

Step-by-step explanation:

Given

f(x) = - 4x - 10 and f(x) = 10, the equate right sides, that is

- 4x - 10 = 10 ( add 10 to both sides )

- 4x = 20 ( divide both sides by - 4 )

x = - 5

Answer:

substitute value of x and y as 2 and 4

y=5x-6

4= 5*2-6

4=4 so yes

Step-by-step explanation:

The point (2, 4) lie on the line y = 5x-6

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

For example, 3x + 5 = 15.

Given that, we need to check whether the point 2,4 lie on the line y=5x-6 or not,

So, the verification of the same, we will simply put the value of x (2) in the equation and see whether we are getting 4 or not, if not then points do not lie on the line, if yes, the point lies on the line.

So, the equation is

y = 5x-6

Put x = 2,

y = 5(2) - 6

y = 10-6

y = 4

Since, we get the value of y = 4, therefore, the point lies on the line.

Hence, the point (2, 4) lie on the line y = 5x-6

Learn more about equation, click;

https://brainly.com/question/29657983

#SPJ3

Answer:

D. [tex]\frac{10}{15}[/tex] and [tex]\frac{14}{21}[/tex]

Step-by-step explanation:

Proportional ratios are ratios that represent the same relationship. One way to check this is to reduce the ratios, because if they are proportional, they will equal the same thing. Both [tex]\frac{10}{15}[/tex] and [tex]\frac{14}{21}[/tex] simplify to [tex]\frac{2}{3}[/tex].

Hope this helps!!

Answer:

its D

Step-by-step explanation:

if you divide 10/15 its .666 and if you divide 14/21 its .666 so there equal  BRAINLEIST????

Answer:

1) (4,4)  2) (4,0)   3) (6,1)

Step-by-step explanation:

[tex](\frac{5+13}{2} )(\frac{7+1}{2} )\\(\frac{8}{2} )(\frac{8}{2} )\\(4,4)[/tex]

[tex](\frac{-3+7}{2} )(\frac{-3+3}{2} )\\(\frac{4}{2} )(\frac{0}{2} )\\(4,0)[/tex]

[tex]\frac{-5+x_2}{2} =1[/tex] multiply 1 by 2=2 then write[tex](+5)-5+x_2=1(+5)\\x_2 = 6[/tex]

[tex]\frac{3+y_2}{2} =2[/tex] multiply 2 by 2= 4 then write [tex](-3)3+y_2=4(-3)\\y_2=1[/tex]

Answer:

1,296

Step-by-step explanation:

36 pages x 6 cards a page = 216 cards per binder

216 cards x 6 binders = 1296

The number of baseball cards Sam collected will be 1,296.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that sam collects baseball cards he has 6 binders full of cards each page in the binder holds six cards and each binder has 36 pages.

The number of cards will be calculated as:-

36 pages x 6 cards a page = 216 cards per binder

216 cards x 6 binders = 1296

Hence, the number of cards will be 1,296.

To know more about an expression follow

https://brainly.com/question/19864728

#SPJ2

Answer:

B: 200

Step-by-step explanation:

The sqr of 200 is equal to 14.14. when plugged into the perimeters 13.8<x<14.5 , 14.14 satisfies the condition

The square root has a value between 13.8 and 14.5 is 200.

Option (B) is correct.

A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.

Given:

The square root has a value between 13.8 and 14.5.

We have to find the square root has a value between 13.8 and 14.5.

According to given question we have

[tex]13.8 ^{2} =190.44\\\\14.5^{2} =210.25\\[/tex]

So, the square root has a value between 13.8 and 14.5 is 200.

when plugged into the perimeters 13.8<x<14.5.

Therefore, the square root has a value between 13.8 and 14.5 is 200.

Learn more details about square root here:

https://brainly.com/question/3120622

#SPJ2

Answer:

[tex]y=4-3x[/tex]

Step-by-step explanation:

[tex]3x+y=4[/tex]

Subtract 3x from both sides:

[tex]3x+y-3x=4-3x[/tex]

[tex]y=4-3x[/tex]

Answer:

its answer is

y=4-3x ok

Answer:

[tex](\frac{17}{18}, \frac{23}{6})[/tex]

Step-by-step explanation:

D1 = [tex]\sqrt{(x+3)^2 + (y-4)^2}[/tex]

D2 = [tex]\sqrt{x^2 + y^2}[/tex]

Then set D1 = D2, and substitute in y = 3x+1

[tex]\sqrt{(x+3)^2 + (3x-3)^2}[/tex] = [tex]\sqrt{x^2 + (3x+1)^2}[/tex]

[tex]x^2 +6x +9 +9x^2 - 18x + 9 = x^2 + 9x^2 + 6x + 1[/tex]

[tex]18x = 17[/tex]

x = 17/18

Then to find y, substitute back in x for y = 3x + 1

[tex]y = \frac{17}{18} * 3 + 1[/tex]

y = 23/6

The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].

Here,

The equation of straight line is y = 3x + 1

And, it is equidistant from the origin and (-3, 4)

We have to find the coordinates of the point on the straight line.

What is the distance between the two points?

The length of the line segment that connects the two given points, is called distance between two points.

Now,

Let the point (x, y) on the line y = 3x + 1.

Distance between the points (x, y) and (0, 0) is;

[tex]D = \sqrt{(x-0)^2+(y-0)^2}[/tex]

[tex]D = \sqrt{x^{2} +y^{2} }[/tex]

And, Distance between the points (x, y) and (-3, 4) is;

[tex]D = \sqrt{(x+3)^2+(y-4)^2}[/tex]

[tex]D = \sqrt{x^{2} +6x+9+9x^{2} -18x+9}[/tex]

Equating both distance we get;

[tex]\sqrt{x^{2} +6x+9+9x^{2} -18x+9} = \sqrt{x^{2} +y^{2} }\\\\ {x^{2} +6x+9+9x^{2} -18x+9} = x^{2} + y^{2} \\\\18x = 17\\\\x = \frac{17}{18}[/tex]

And, To find y put the value of x in y = 3x + 1, we get;

[tex]y = 3 * \frac{17}{18} + 1\\\\y = \frac{23}{6}[/tex]

Hence, The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].

Learn more about the distance between two points visit:

https://brainly.com/question/23848540

#SPJ2

Answer:

The anwser is 6.01176470588

Answer:

for 29. the answer is 10×10×10×10×10×10

for 33. the answer is 5³,3⁵,10³

for 35. the answer is 1⁵,5¹,10¹

hope it helps you mate please mark me as brainliast...

Answer:

29: 1,000,000

33: 1,000. 243. 125

35: 1. 5. 10

Step-by-step explanation:

floor gang aooh sub to pewdiepie

Answer:

Area=128

Step-by-step explanation:

p=8[tex]\sqrt{2}[/tex]

A=p^2

put value of p

A= (8[tex]\sqrt{2}[/tex])power2

A= (8^2* [tex]\sqrt{2}[/tex]^2)

A=64 * 2             (square root of 2 will be cancel by power 2)

A= 128  

Answer:

250 messages

Step-by-step explanation:

Cost per message: $0.16

Maximum bill: $40

Maximum # of messages = $40/$0.16 = 250 messages

Sorry but that's an unclear question, can you double check to see if you included everything, and also check to see the possible answers?

To write 2^7, you would do 2*2*2*2*2*2*2 because your multiplying 2 by itself 7 times. The only factor is, 2. Now try and do the rest, if you still need help, comment and I'll edit my answer and give you more hints. you got this. I believe in you :)

Answer:

y = 2x-3

Step-by-step explanation:

We can use those 2 points given to solve for the slope (m) and for the y-intercept (b) in the equation y = mx+b

Slope:

(3,3) and (4,5)

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{5-3}{4-3}[/tex]

m = 2

Y-intercept:

y = 2x+b

3 = 2(3) +b

3 = 6+b

b = -3

equation: y = 2x-3

Answer:

A = 21 degrees

Step-by-step explanation:

Here in this question, we are told to calculate the value of angle A.

When two angles are tagged complementary, what this means is that the addition of both angles gives a total of 90 degrees.

Hence;

A + B = 90

This means that;

(x-21) + (2x -15) = 90

x + 2x -21-15 = 90

3x -36 = 90

3x = 90+ 36

3x = 126

x = 126/3

x = 42

But we are told to calculate the measure of A

A = x -21

A = 42-21

A = 21 degrees

Answer:

21

Step-by-step explanation:

Answer:

W÷XZ= Y

Step-by-step explanation:

isolate the variable by dividing :)

Answer:

W÷XZ= YStep-by-step explanation:

Answer:  hope this helps!!

Step-by-step explanation:

#9.     7 > -8

7 is bigger

#10.    =

#11.     <

#12.    >

#13.     3 is the answer

#14.     28 is the answer

#15.      90

#16.       3

Answer:

$168

Step-by-step explanation:

1. x - 1/4x = 126

2. multiply each side by 4

3. 4x - x = 504

4. 3x = 504

5. divide each side by 3

6. x = 168

Answer:

(pound-feet)

Step-by-step explanation:

Given that:

Torque = r × F

Where ; r = radius in feet ; F = force in pounds

Hence, a possible unit measure of torque using the units provided for both force and Radius will be :

r (feet) × F (pounds) = Torque (pound-feet)

Hence, the possible unit of measure of torque = (pound-feet)

Other unit measure may be :

r (metres) × F(Newton) = Torque (newton-metre)

Answer:

No.

Step-by-step explanation:

A composite number has factors in addition to one and itself. The numbers 0 and 1 are neither prime nor composite. All even numbers are divisible by two and so all even numbers greater than two are composite numbers. All numbers that end in five are divisible by five. Therefore all numbers that end with five and are greater than five are composite numbers.

Answer:

it the first one because if you add 12 + 3 its fifteen and then you divide and compare the two to get the answer

Step-by-step explanation:

Step-by-step explanation:

2:32 + 1:30

3:62= 4:02 is the time

Answer:

g(x) = 4|x| +2

Step-by-step explanation:

f(x) = |x|

y = f(x) + C  C > 0 moves it up

g(x) = |x| +2 moves it up 2 units

y = Cf(x)  C > 1 stretches it in the y-direction

g(x) = 4|x| +2 stretch by 4

We start off with: f(x) = |x|

c > 0 means move up

y = f(x) + c

2 units up

After: g(x) = |x| + 2

c > 1 means y-direction stretch

y = cf(x)

4 unit stretch

After: g(x) = 4|x| + 2

Best of Luck!

Step-by-step explanation:

Now, According to our assumption we can set up an equation :

➵ (180 - x) - 3(90 - x) = 10

➵ 180 - x - 270 + 3x = 10

➵ 2x - 270 = 10 - 180

➵ 2x - 270 = -170

➵ 2x = -170 + 270

➵ 2x = 100

➵ x = 100/2

➵ x = 50