Does this graph represent a function? Why or why not?

Answer:

y = 250

Step 1:

To solve, we plug in 50x for y.

[tex]50x=200+10x[/tex]

Then, we subtract the 10x from the right side. Our goal is to get the x by itself first.

[tex]40x=200[/tex]

Then, we divide both sides by 40, since we have to get the x by itself.

[tex]\frac{40x}{40}=x\\\\\frac{200}{40} =5[/tex]

x = 5

Step 2:

Now that we found x, we plug in 5 to the original equation and solve from there.

[tex]y=200+10(5)\\y=200+50\\y=250[/tex]

y = 250

Answer:Let PQRS to be the rhombus where PQ=12cm and RS = 16cm

step 1:let,PQ and RS intersect each other at O.Now, diagonals of rhombus bisect each other at right angles.

STEP 2:Since POQ is a right angled triangle, by pythagoras theoram.

STEP 3:After applying formula , PQ =10cm .length of each side of rhombus is 10cm.

Step-by-step explanation:

Answer:

10cm

Step-by-step explanation:

As you can see in the first image is a rhombus with its diagonals 12cm and 16cm

You can see that the diagonals divide the rhombus into four right triangles and that the hypotenuse of each triangle is one side of the rhombus.

In the second image I picked out one triangle from the rhombus and slashed the length of the diagonals of the rhombus in half to get the sides of the triangle.

Now all you have to do is use the Pythagorean theorem to find the hypotenuse of the triangle which will give you the length of side of rhombus

6² + 8² = hypotenuse²

36 + 64 = h²

100 = h²

h = √100

h = 10

All the side of the rhombus are equal so all the sides of the rhombus are 10cm

Answer:

-7/8

Step-by-step explanation:

Answer:

4.25%

Step-by-step explanation:

Commision =  441.30 - 375 = 66.30

Commision is based on  = 6560-5000 = 1560

Rate of Commision = (in decimal) 66.30/1560 = 0.0425  

Rate of Commision = 0.0425  * 100 =   4.25 %

Answer:

$17,028.06

Step-by-step explanation:

Given that :

Kaylee's down payment = $4500

monthly payment = $300

If he can finance a vehicle with a 7%, 4-year loan (assume a 0% tax rate).

the  maximum amount Kaylee can afford to spend on the car is being calculated as the present value for all the payments.

= [tex]=\$4,500 +\dfrac{\$300}{(1+\frac{0.07}{12})} + \dfrac{\$300}{(1+\frac{0.07}{12})^2} +\dfrac{\$300}{(1+\frac{0.07}{12})^3} + ....+ \dfrac{\$300}{(1+\frac{0.07}{12})^{46}}+ \dfrac{\$300}{(1+\frac{0.07}{12})^{47}}+ \dfrac{\$300}{(1+\frac{0.07}{12})^{48}}[/tex]

Using the online desmos calculator to determine the maximum amount Kaylee can afford to spend on the car; we have:

= $17,028.06

Answer:

2(cos30°+isin30°)

Step-by-step explanation:

Complex value z is written in a rectangular form as z = x+iy where (x, y) is the rectangular coordinates.

On converting the rectangluar to polar form of the complex number;

x = rcosθ and y = rsinθ

Substituting in the rectangular form of the comlex number above;

z = rcosθ + irsinθ

z = r(cosθ+isinθ)

r is the modulus of the complex number and θ is the argument

r =√x²+y² and θ = tan⁻¹y/x

Given the complex number in rectangular form z = -(3)^1/2 - i

z = -√3 - i

x = -√3 and y = -1

r = √(-√3)²+(-1)²

r = √3+1

r = √4

r = 2

θ = tan⁻¹ (-1/-√3)

θ = tan⁻¹ (1/√3)

θ = 30°

Hence the complex number in polar form will be z = 2(cos30°+isin30°)

Part A

Answer:  33.2 degrees F

Explanation: Adding on a negative is the same as subtracting. So 72.3 + (-39.1) = 72.3 - 39.1 = 33.2

================================================

Part B

Answer: 70 +  2   +  0.3    + (-30) + (-9) + (   -0.1   )

Explanation:

Think of 72 as 70+2. Furthermore, think of 72.3 as 70+2+0.3; we just break the number up into its corresponding digits (adding zeros when needed). The 7 is in the tens place, the 2 is in the units or ones place, and the 3 is in the tenths place.

Similarly, we have 39.1 break down into 30+9+0.1, in which all three terms are made negative to represent -39.1

================================================

Part C

Answer:   70 + (-30) + 2 + (-9) + 0.3 + ( -0.1  )  

Explanation: Arrange the tens place value items to be next to each other. Same goes for the units place value, and also the tenths place value.

================================================

Part D

Answer:  [70 + (-30)] +  [ 2 + (-9) ] + [ 0.3 + ( -0.1  ) ]

Explanation: Take the result of part C and surround each pair of terms in square brackets to show how the terms pair up.

Answer:

Does this sample provide convincing evidence that the machine is working properly?

Yes.

Step-by-step explanation:

Normal distribution test:

[tex]$z=\frac{x- \mu }{ \frac{\sigma}{\sqrt{n}} }=\frac{ (x-\mu)\sqrt{n}}{\sigma} $[/tex]

Where,

[tex]x: \text{ sample mean}[/tex]

[tex]\sigma: \text{ standard deviation}[/tex]

[tex]n: \text{ sample size determination}[/tex]

[tex]\mu: \text{ hypothesized size of the screw}[/tex]

[tex]$z=\frac{(1.476-1.5)\sqrt{200} }{0.203 } $[/tex]

[tex]$z=\frac{(-0.024)10\sqrt{2} }{0.203 } $[/tex]

[tex]z \approx -1.672[/tex]

Once the significance level was not given, It is usually taken an assumption of a 5% significance level.

Taking the significance level of 5%, which means a confidence level of 95%, we have a z-value of [tex]\pm 1.96[/tex]

Therefore, we fail to reject the null. It means that the hypothesis test is not statistically significant: the average length is not different from 1.5!

Answer:

The correct option is;

(0, -3), (-1, 0) and (3, 0)

Step-by-step explanation:

From the given graph of the function we have the following observations;

There are two x-intercepts which are;

1) To the left of the vertical y-axis having coordinates (-1, 0)

2) To the the right of the y-axis having coordinates (3, 0)

There is only one y-intercept  having coordinates, (0, -3)

Therefore, all the intercepts of the function are, (0, -3), (-1, 0) and (3, 0).

Answer:

(0, -3), (-1, 0) and (3, 0)

Step-by-step explanation:

Answer: A

Step-by-step explanation

2.167x10^4 = 21,670

                   = 9,978

1.1x10^6      = 1100,000

                   = 56,344,000

2.468x10^5 =  246,800

Answer: A. 9,978

Based on the power, move the decimal point that many spaces to the right. (E.g., If it's 4.2 × 10^3, then move the decimal three spaces to the right, and you'd get 4200.)

2.167 × 10^4 = 21670

1.1 × 10^6 = 1100000

2.468 × 10^5 = 246800

Out of all the numbers mentioned in the question, 9,978 is the only one that's less than 2.167 × 10^4 = 21670.

Answer:

The center is ( 1,-3) and the radius is 3

Step-by-step explanation:

The equation of a circle can be written in the form

( x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius

(x-1)^2 + (y+3)^2= 9

(x-1)^2 + (- -3)^2= 3^2

The center is ( 1,-3) and the radius is 3

Answer:

Dimensions of square shaped pit = 6m [tex]\times[/tex] 6m

Dimensions of rectangular pit = 1m [tex]\times[/tex] 36m or 2m [tex]\times[/tex] 18m or 3m [tex]\times[/tex] 12m or 4m [tex]\times[/tex] 9m

Step-by-step explanation:

Given:

Two pits in the school playground area (one square shaped and one rectangular shaped).

Each pit must have an area = 36 [tex]m^2[/tex]

To find:

Dimensions of each pit = ?

Solution:

First of all, let us have a look at the formula for area of a square and a rectangle:

[tex]Area_{square} = (Side)^2[/tex]

[tex]Area_{Rectangle} = Length\times Width[/tex]

Now, let us try to find out dimensions of square:

[tex]36 = Side^2\\\Rightarrow Side = 6\ m[/tex]

So, dimensions of Square will be 6m [tex]\times[/tex] 6m.

Now, let us try to find out dimensions of rectangle.

[tex]36 = Length\times Width[/tex]

We are not given any restrictions on the Length and Width of the rectangle.

So, let us explore all the possibilities by factorizing 36:

[tex]36 = 1 \times 36\\36 = 2 \times 18\\36 = 3 \times 12\\36 = 4 \times 9[/tex]

6 [tex]\times[/tex] 6 factors not considered because then it will become a square and which is not the required case.

Dimensions of rectangular pit = 1m [tex]\times[/tex] 36m or 2m [tex]\times[/tex] 18m or 3m [tex]\times[/tex] 12m or 4m [tex]\times[/tex] 9m

Answer:

B

Step-by-step explanation:

The inscribed angle's arc measures 36°, and central angle's arc measures 72°.

Answer:

the answer is B

Step-by-step explanation:

Answer:

Hey there!

He can create 7 plates at most, with one carrot cake and one marble cake on each plate.

Hope this helps :)

Answer:

n = 4

Step-by-step explanation:

4(2n + 3) = 44

Expand the brackets.

4(2n) + 4(3) = 44

8n + 12 = 44

Subtract 12 on both sides.

8n + 12 - 12 = 44 - 12

8n = 32

Divide both sides by 8.

(8n)/8 = 32/8

n = 4

Answer:

9.16

Step-by-step explanation:

We know that

Total expense = price of sugar * consumption

let price of sugar was 100

So total expense = 100*10=1000

But now new expense =1100 (I,e.10% more than 1000)

and new price =120(i,e. 20% more than 100)

So new consumption = new expense/ new price=

1100/120

=110/12

=9.16

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

Answer:

16 2/3 %   or approx. 16.67%

Step-by-step explanation:

Original price = 100%

New price = 100+20% = 120%

To reduce back to 100%

we need to reduce 20% from 120 % = 20/120 = 1/6 = 16 2/3 % = 16.7% approx.

Answer:

3,500 tons

Step-by-step explanation:

We know that 1,400 tons is 2/5 of the Consolidated Brick Company's output.

This means that 1/5 must be equal to 700 tons if 2/5 is 1,400.

So, we can find the total output by multiplying 700 by 5, since 700 is 1/5 of the total.

700(5) = 3,500 tons

Answer:

Step-by-step explanation:

Since the sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

d = 6

a = 2

n = 12

So the 12th term of the sequence is

A(12) = 2 + (12-1)6

= 2 + 11(6)

= 2 + 66

Hope this helps you

Answer:

2/13

Step-by-step explanation:

In a standard deck of cards, there are 52 cards total, 4 kings, and 4 queens.

Probability is calculated by (number of favorable outcomes)/(number of possible outcomes), so our probability would be 8/52, which can be simplified to 2/13.

Hope this helps!

Answer:

I hope it helps you......

Answer:

The last option

Step-by-step explanation:

The centroid is the point that is equidistant from all the vertices, not the incenter. Furthermore, the incenter is formed by finding the point of concurrency (intersection) of the angle bisectors.

Answer:

740 m^2

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

h=−6, k=−30

Step-by-step explanation:

did on edge

Considering the equation of the parabola, the coefficients of the vertex are:

h=−6, k=−30

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](h,k)[/tex]

In which:

[tex]h = -\frac{b}{2a}[/tex]

[tex]k = -\frac{b^2 - 4ac}{4a}[/tex]

In this problem, the equation is:

[tex]f(x) = x^2 + 12x + 6[/tex]

Hence the coefficients are a = 1, b = 12, c = 6, thus:

[tex]h = -\frac{12}{2} = -6[/tex]

[tex]k = -\frac{120}{4} = -30[/tex]

More can be learned about the equation of a parabola at https://brainly.com/question/24737967

Answer:

A) [tex]1<x<\infty[/tex]

Step-by-step explanation:

Given:

A graph of a function.

When we analyze the given graph, it is of a parabola.

To find:

The interval of values of [tex]x[/tex] where the function is increasing.

Solution:

First of all, let us learn about the meaning of increasing and decreasing functions.

1. A function [tex]y=f(x)[/tex] is known as increasing  in an interval [tex]a<x<b[/tex] when

Value of y keeps on increasing when we move from the value of x from a to b.

2. A function [tex]y=f(x)[/tex] is known as decreasing  in an interval [tex]a<x<b[/tex] when

Value of y keeps on decreasing when we move from the value of x from a to b.

On analyzing the given graph , we can see that the graph is decreasing on the interval: [tex]-\infty<x<1[/tex]

and is increasing on the interval: [tex]1<x<\infty[/tex]

When we choose from the options,

The correct answer is option A) [tex]1<x<\infty[/tex]

Step-by-step explanation:

Answer:

The answer is C.) (2, -5)

Answer:

a) 4.236 x 10^2

b) 7.194548 x 10^6

c) 5.0023 x 10^2

d) 7.123884 x 10^1

e) 5.62 x 10^-1

f) 3.48 x 10^-2

g) 1.23 x 10^-4

h)  5.603002 x 10^-1

Hopefully this helps :)

Answer:

a) 423.6=4.236*10^2

b) 7,194,548=7.194548*10^6

c) 500.23=5.0023*10^2

d) 71.23884=7.123884*10^1

e) 0.562=5.62*10^-1

f) 0.348=3.48*10^-1

g) 0.000123=1.23*10^-3

h) 0.5603002=5.603002*10^-1

Step-by-step explanation:

The numbers in which the point lies must be between 0 and 10

Hope this helps ;) ❤❤❤

Answer:

See below.

Step-by-step explanation:

SQUARE:

The area of the square is:

[tex]9x^2-12x+4[/tex]

Factor it:

[tex]=9x^2-6x-6x+4\\=3x(3x-2)-2(3x-2)\\=(3x-2)(3x-2)\\=(3x-2)^2[/tex]

Remember that all four sides of a square is equal. The area is simply the side squared. Therefore, all four sides of the square measure (3x-2).

RECTANGLE:

[tex]25x^2-16y^2\\[/tex]

Factor it. This resembles the difference of two squares, where:

[tex](x-a)(x+a)=x^2-a^2[/tex]

[tex]25x^2-16y^2\\=(5x)^2-(4y)^2\\=(5x-4y)(5x+4y)[/tex]

This cannot be simplified further. Note that the sides of rectangles doesn't necessarily have to be the same.

The dimensions of the rectangle is:

(5x-4y) by (5x+4y)

Answer:

Step-by-step explanation:

1. the area of square is 9x^2-12x+4 square units

shortcut: (a-b)^2= a^2-2ab+b^2

then simplify 9x^2-12x+4 to (3x-2)^2

area of square = s^2

then side equals sqrt((3x-2)^2)

s = (3x-2) units

2. the area of rectangle is (25x^2-16y^2) square units

shortcut: (a^2-b^2) = (a-b)(a+b)

then simplify (25x^2-16y^2) to (5x-4y)(5x+4y) square units

one side is: (5x-4y) units

one side is (5x+4y) units

Answer:

44 units²

Step-by-step explanation:

For triangles: (bases and heights of both triangles are equal)

Base = 4 units, height = 3 units

For trapezoid:

Base 1 = 5 units, base 2 = 3 units, height = 8 units

Area of figure = Area of two triangles + Area of trapezoid

= 2 *1/2 * base * height + 1/2(base 1+ base 2) *height

=4*3 + 1/2(5+3)*8

= 12 + 8*4

= 12 + 32

= 44 units²

The required area of the figure shown in the graph is given as 44 square units.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

here,
The area of the given figure  is given as,
Area = Area of 1 + Area of 2 + Area  3 + Area 4
Area = length × width + [1/2× base × height] + [1/2× base × height] + [1/2× base × height]

Area = 8 × 3 + 1/2 × 4 × 3 + 1/2 × 4 × 3 + 1/2 × 8 × 2
Area = 44 square units.

Thus, the required area of the figure shown in the graph is given as 44 square units.

Learn more about the surface area here: https://brainly.com/question/2835293

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