A cell phone company charges $400 for a new phone and $50 for a monthly plan. If C (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function? R: ℝ R: (–∞, ∞) R: (0, 400) R: (50, 450)

Answers

Answer 1

Answer:

D

Step-by-step explanation:

R: (50, 450)

Answer 2

Answer:

D

The R (range) is: (50, 450)


Related Questions

Find the AAS postulate?

Answers

Answer:

<T ≅ <A

Step-by-step explanation:

The AAS Postulate states that two triangles are congruent of the two angles and a mon-included side of one triangle are congruent to the corresponding two angles and mon-included side of the other.

From the diagram given, we know that

Non-included side UC in ∆TUC is congruent to non-included side UC in ∆AUC.

Also, we know that <U in ∆TUC is congruent to <U in ∆AUC (vertical angles are congruent)

We are not given if <T is congruent to <A or not. Therefore, the additional information that is required to know that both triangles are congruent by the AAS Postulate would be:

<T ≅ <A

On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N has points (0, negative 1), (2, negative 4), and (negative 2, negative 3). How does the area of triangle RST compare to the area of triangle LMN

Answers

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

[tex]R =(5,5)[/tex]

[tex]S= (2,1)[/tex]

[tex]T = (1,3)[/tex]

LMN

[tex]L = (0,-1)[/tex]

[tex]M= (2,-4)[/tex]

[tex]N= (-2,-3)[/tex]

Required

Compare both areas

The area of triangle is:

[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|[/tex]

For RST, we have:

[tex]Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|[/tex]

[tex]Area = \frac{1}{2}|-10|[/tex]

Remove absolute signs

[tex]Area = \frac{1}{2}*10[/tex]

[tex]Area = 10[/tex]

For LMN, we have:

[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|[/tex]

[tex]Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|[/tex]

[tex]Area = \frac{1}{2}|-14|[/tex]

Remove absolute signs

[tex]Area = \frac{1}{2}*14[/tex]

[tex]Area = 7[/tex]

By comparing both areas, we can conclude that LMN has a larger area

Jamie bought a new pair of jeans for $\$10$ because the price marked was $75\%$ off the original price. What was the original price of the pair of jeans?

Answers

Answer:

$40

Step-by-step explanation:

Let

Original price = x

Selling price = $10

Discount = 75%

Selling price = original price - (Discount * original price)

10 = x - 75% of x

10 = x - 0.75 * x

10 = x - 0.75x

10 = 0.25x

x = 10/0.25

x = 40

Original price = x = $40

(5,8) and (x, 12) slope is -2, find x
PLEASE HELP ASAP

Answers

Answer:

x = 3

Step-by-step explanation:

Understandings:

• Slope Formula

—————————

Use the Slope-Formula to identify the slope

Slope-Formula: y2-y1/x2-x1

Slope-Form: 12 - 8/x - 5

Where Slope = -2

12 - 8/x - 5 = -2

4/x - 5 = - 2

x is a positive number

4/(3)- 5 = - 2
4/-2 = -2

- 4/2 = -2

Classify the triangle.
O obtuse
O equiangular
Oright
O acute

Answers

Answer:

right

Step-by-step explanation:

The box in the lower corner means that the angle is equal to 90 degrees, which means the angle is a right angle

The  triangle is a right triangle

Answer:

Right

Step-by-step explanation:

Types of triangle classifications

Acute: a triangle with all angle measures less than 90 degrees

Obtuse: a triangle with an angle of more than 90 degrees

Right: a triangle with a right angle.

Equilateral: a triangle with all equal angles ( more specifically all 60 degree angles )

Now let's look back at the question

Classify the type of triangle

Well looking at the triangle the triangle has a right angle ( indicated by the little square at the bottom left of the triangle)

A triangle with a right angle is known as a right triangle

Select the expression that shows the distributive property applied to
13(2+9).
18 of 29 QUESTIONS
13(9+2)
13. 2+ 9
13. 2+ 13.9
13. 2+ 2.9

Answers

3rd option is correct

13 × 2 + 13 × 9

Which of the following statements is false ?

Answers

Answer:

The bases of an isosceles trapezoid are congruent is false.

Step-by-step explanation:

Let's analyse each option.

In a Rhombus, the diagonals are perpendicular at the point of intersection and bisect each other is true.

In isosceles trapezoid, the sides are congruent but not the bases. So, this incorrect!

The rectangle is an Equi-angular because all the angles are equal. So, this is true.

The base angles are congruent in isosceles trapezoid. So, this is true too.

Which set of ordered pairs does NOT represent a function?
{(0, 0), (1, 1), (2, 2), (3, 3)}
(0, 0), (0, 1), (1, 2), (1, 3)}
{(1,0), (2, 0), (3, 0), (4, 0)}
{(0, 1), (1, 2), (2, 3), (3, 4)}

Answers

Answer: (0, 0), (0, 1), (1, 2), (1, 3) does NOT represent a function

Step-by-step explanation:

to tell whether a set of ordered pairs are functions or not, all domains must have different ranges!

range: x-axis (0,0)

domain: y-axis (0,0)

pair 1:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

pair 2:

all the ranges - 0, 0, 1, 1 - are NOT all different, which means it is NOT a set of ordered pairs

pair 3:

all the ranges - 1, 2, 3, 4 - are different, which means it IS a set of ordered pairs

pair 4:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

let me know if you have any more questions or if i made any mistakes. hope this helped, and good luck! ˶ˆ꒳ˆ˵

Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic? Need help!!

Answers

Answer:

$0.25

Step-by-step explanation:

Let's represent the comics by assigning it the letter C.

20C = $5.00

C = $5.00/20

= $0.25

We can confirm this by using the example where he uses 30 comics.

30C = $7.50

C = $7.50/30

= $0.25.

Therefore each comic costs $0.25

Please help me anyone

Answers

Answer:

Step-by-step explanation:

y = x^2 + 4

x = 11  Put this value in wherever you see an x on the right.

y = 11^2 + 4

11^2 = 11 * 11 = 121

y = 121 + 4

y = 125

Instructions: Find the missing side of the triangle.
48
50

Answers

Answer:

x = 14

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

48 ^2 + x^2 = 50^2

2304+x^2=2500

x^2 = 2500-2304

x^2 =196

Taking the square root of each side

sqrt(x^2) = sqrt(196)

x = 14

Answer:

14

Step-by-step explanation:

Use A^2+B^2=C^2

A=48

C=50

So B=sqrt(C^2-A^2)

B=sqrt(50^2-48^2)

B=sqrt(2500-2304)

B=sqrt(196)

B=14

The ratio of boys to girls in a dass in a dass is 4.3 if There are 20 boys in the class. How many are girls!​

Answers

fifteen girls are there

Answer:

15 girls

Step-by-step explanation:

It helps when you stack the ratio and # of ppl, so:

4:3

20:x

How do you get from 4 to 20? You multiply 5.

Now do that to the other side, you get 15.

Hope this is helpful ^^

May I sincerely get some help on this, please?

Answers

Answer:

B

Step-by-step explanation:

I have attached the explanation above. This is all I can do. Hopefully this will help

In the following table of values, the first differences are

x y First Difference
-2 34
-1 27
0 20
1 13
2 6

Answers

Answer:

-7

Step-by-step explanation:

Given

[tex]\begin{array}{ccc}x & {y} & {First\ difference} & {-2} & {34} & {}&{-1} & {27} & {} &{0} & {20} & {} & {1} & {13} & {} & {2} & {6} &{} \ \end{array}[/tex]

Required

The first difference

To do this, we simply calculate the difference between the consecutive y-values.

i.e.

[tex]d = y_{n+1} - y_n[/tex]

So, we have:

[tex]d = y_2 - y_1 = 27 - 34 = -7[/tex]

[tex]d = y_3 - y_2 = 20 - 27 = -7[/tex]

[tex]d = y_4 - y_3 = 13 - 20 = -7[/tex]

[tex]d = y_5 - y_4 = 6-13 = -7[/tex]

Hence, the first differences are -7 (all through)

Solve the system by substitution
y= 5x− 22
y= 4x− 17

Answers

Answer:

x=5, y=3

Step-by-step explanation:

What is the missing justification?

transitive property
reflexive property
symmetric property
substitution property

Answers

Answer:

Transitive property

Step-by-step explanation:

Given

See attachment

Required

The missing property?

In step 1, we have:

[tex]\angle A \cong \angle B,\ \angle C \cong \angle B[/tex]

Transitive property states that:

If [tex]a = b[/tex] and [tex]b = c[/tex]

Then [tex]a = c[/tex]

Similarly:

If [tex]\angle A \cong \angle B[/tex] and [tex]\angle C \cong \angle B[/tex]

Then  [tex]\angle A \cong \angle C[/tex] --- step 3

Hence, we can conclude that the transitive property is the missing justification


Find the volume of a sphere with a diameter of 17.2 cm. Use 3.14 for it Round your answer to the nearest
tenth

Answers

Answer:

2663.0 cm³ (3 s.f.)

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{3}\pi {r}^{3} }[/tex]

Radius= diameter ÷2

Radius of sphere

= 17.2 ÷2

= 8.6 cm

Volume of sphere

[tex] = \frac{4}{3} (3.14)(8.6)^{3} [/tex]

= 2663.0 cm³ (3 s.f.)

Help Please Now!!!
Find the volume of the rectangle prism

Answers

Answer:

V =48 cm^3

Step-by-step explanation:

The volume of a prism is given by

V = l*w*h

V = 3*4*4

V =48 cm^3

V =48 cm^3

Step-by-step explanation:

The volume of a prism is given by

V = l*w*h

V = 3*4*4

V =48 cm^3

5. Find the measures of the following. Round to the nearest whole number. (2 points)
a. HT
H
b. 2T
15 cm
C. ZH
W
8 cm
T

Answers

Answer:

HT = 17 cm

<T = 58°

<H = 32°

Step-by-step explanation:

✔️Find HT:

Since it's a right triangle, we would apply the Pythagorean Theorem given as c² = a² + b²

Where,

a = HW = 15 cm

b = WT = 8 cm

c = HT

Plug in the values:

HT² = 15² + 8²

HT² = 289

HT = √289

HT = 17 cm

✔️Find <T by applying trigonometric ratio formula:

Recall: SOH CAH TOA

Reference angle (θ) = <T

HW = 15 cm = Opposite side length

WT = 8 cm = Adjacent side length

Apply CAH:

Cos θ = Adj/Hyp

Substitute

Cos T = 8/15

T = [tex] cos^{-1}(0.5333) [/tex]

T ≈ 58°

✔️Find <H:

Sun of interior angles of a triangle = 180°

Therefore,

m<H + m<T + m<W = 180°

Substitute

m<H + 58° + 90° = 180°

m<H + 148° = 180°

m<H = 180° - 148°

m<H = 32°

Suppose you have D12000 to save . You have to save some amount at 10% and the rest at 15% how much should be saved at each rate to yield 12% on the total amount saved

Answers

Answer:

$7200 at 10%

$4800 at 15%

Step-by-step explanation:

I could really use some help

Answers

045 bearing the three figure for north east

Answer:

045

Step-by-step explanation:

North is equal to 360 or 0 degrees. East is equal to 90 degrees because that is 1/4 of 360.

Thus, northeast is 45 degrees. This image may help.

How to change the decimal 4.5 into a fraction

Answers

4.5

= 4.5/1

= 4.5/1.0

= 45/10 [Shifting the decimal to right]

= 9/2 [Reducing to the simplest form]

So, the answer is 9/2.

Which division problem does the number line best illustrate

Answers

Answer:

10 ÷2 = 5

Step-by-step explanation:

10 is the final number

It is grouped in 2's

10 ÷2 = 5

Which ratio is equivalent to 12/2?

Answers

Answer:36/6

Step-by-step explanation:

1. multiply by 3 on both the bottom and top.

2. the reason being : they have the same factors of 3

The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?

Answers

Answer:

Yes it can

Step-by-step explanation:

To check wether it's a right angle triangle we need to apply the Pythagoras theorem

h^2= a^2 +b^2

Hypotenuse is always the longest side so

5^2 = 3^2 + 4^2

This is correct, so the triangle is a right angle triangle

Answer from Gauthmath

Which numbers belong to the solution set of the inequality?
6x < 48
A. 1,3,5,8
B. 2,4,5,7
C. 7,9,13,16
D. 9, 12, 14, 20

Answers

Answer:

B. 2, 4, 5, 7

Step-by-step explanation:

6x<48

Divide by 6 on both sides:

x < 8 (excluding 8)

You can test values greater than 8, and if it yields false, then try different numbers.

Hope this helps!

Answer


B. 2,4,5,7

6 x 2 = 12
6 x 4 = 24
6 x 5 = 30
6 x 7 = 42

simplify.

√2x(7 + √2x)

a) 2x+7√2x

b) 2x+7√2

c) 2+7√2x

Answers

The simplified form of the expression √2x(7 + √2x) is 7√2x + 2x.

Option A is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To simplify the expression √2x(7 + √2x), we can use the distributive property of multiplication, as follows:

√2x(7 + √2x) = √2x (7) + √2x √2x

= 7√2x + √(2x * 2x)

[since √a x √b = √(ab)]

= 7√2x + √(4x^2)

= 7√2x + 2x

Therefore,

The simplified form of the expression √2x(7 + √2x) is 7√2x + 2x.

Learn more about expressions here:

https://brainly.com/question/3118662

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help which one is the correct one

Answers

Answer:

B.) x^12

Step-by-step explanation:

You don't multiply the exponents when multiplying x^7 × x^5, you add them.

If we add the exponents, we get x^12.

Hope this helps!

If there is something wrong, just let me know.

The area of a rectangle field is 4424 m squared. If the width of the field is 56 m, what is its length?

Answers

We can divide 4424 by 56 to find our length. 4424/56 is 79. Therefore, the length is 79m. To check our answer, we can multiply 79*56. 79*56 is 4,424.

the length is 79, so really I hope this help

which statements are true about function h?

Answers

Answer:

statement 1 is the true answer

The correct statements about function h(x) are:

1) As x approaches ∞, h(x) approaches ∞

2) The y-intercept is (0, 5)

3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]

4) As x approaches -∞, h(x) approaches -∞

What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is exponential function?

"A function of the form [tex]f(x)=a^x[/tex], where “x” is a variable and “a” is a constant."

What is domain?

"It is a set of all possible input values for which a function is well defined."

What is range?

"It is a set of all possible output values."

What is intercept?

"It is a point at which the graph of the function intersects the X-axis or Y-axis."

For given question,

A function [tex]f(x)=x^{\frac{1}{3} }[/tex] is transformed to function [tex]h(x)=(2x)^{\frac{1}{3} }+5[/tex]

The domain of function h(x) is all real values.

To find the y-intercept, substitute x = 0

[tex]\Rightarrow h(0)=(2\times 0)^{\frac{1}{3} }+5\\\\ \Rightarrow h(0)=5[/tex]

So, the y-intercept of function h(x) is (0, 5)

To find the x-intercept, substitute y = 0 i.e., h(x) = 0

[tex]\Rightarrow 0=(2x)^{\frac{1}{3} }+5\\\\\Rightarrow (2x)^{\frac{1}{3} }=-5\\\\\Rightarrow 2x=-125\\\\\Rightarrow x=-62.5[/tex]

This means, the x-intercept of h(x) is (-62.5, 0)

From the graph of the function h(x), we can observe that as x approaches -∞ then h(x) approaches -∞ and as x approaches ∞ then h(x) approaches ∞

Therefore, the correct statements about function h(x) are:

1) As x approaches ∞, h(x) approaches ∞

2) The y-intercept is (0, 5)

3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]

4) As x approaches -∞, h(x) approaches -∞

Learn more about the function here:

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