The local frozen yogurt shop determines the total cost of a cup of yogurt using the formula y = 2 + 0.75x, where x represents the number of ounces. If you can spend between $2 and $5, what is the DOMAIN of this situation

Answers

Answer 1

Answer: 0 ≤ x ≤ 4

Step-by-step explanation:

The cost equation can be written as:

y = $2 + $0.75*x

Where x is the number of ounces that you buy.

If you can spend between $2 and $5, then we have the inequality:

$2 ≤ y ≤ $5

replacing y by the above equation:

$2 ≤  $2 + $0.75*x ≤ $5

Now let's solve this for x.

$2 - $2 ≤ ($2 + $0.75*x) - $2 ≤ $5 - $2

$0 ≤ $0.75*x ≤ $3

now we can divide bt $0.75 in the 3 sides:

$0/$0.75 ≤ ($0.75*x)/$0.75 ≤ $3/$0.75

0 ≤ x ≤ 4

Then the domain is:

D: 0 ≤ x ≤ 4

or we can also write this as:

D = x ∈ [0, 4]


Related Questions

As part of summer camp, Henry goes on a treasure hunt. He starts at the base of a tree and walks 180 feet due north. He then turns and walks 80 feet due east. (Hint: Draw a picture.)

How far is Henry from the tree? Round your answer to the nearest foot.

Answers

Answer:

hmmmmmmmmmmmmmmm

62

Step-by-step explanation:

Sandra rollerbladed ALL DAY. When she got home, she realized that she had
traveled 93.5 miles in 8 hours. What is her unit rate?

Answers

her unit rate was about 11.7 miles per hour.

divide 93.5 by 8 to get answer.

hope this helps.

i could also be wrong.

Find the perimeter of the triangle​

Answers

Answer:

60 ft

Step-by-step explanation:

(x+13) = (3x-1) = (6x-22) since the triangle is equaililateral

(x+13) = (3x-1) (we only need to chose 2)

-2x=-14

x=7

after this, we just need to plug in the number for x

3(7)-1= 20--->since the triangle has 3 congruent sides, they all have the distance, so 20x3=60

60FT

nothing sorry.......

Answers

Answer:

ok

Step-by-step explanation:

well thats good

Hurry answer please

Answers

A) The distance between -5 and 0 is a Positive 5 because it takes 5 positive spots to go from -5 to 0.

B) The Absolute Value of -5 is 5. (Absolute Value means the distance from that number from zero) Is takes 5 spots to get to -5.

I hope this helps, and Happy Holidays! :)

Answer:

1) 5 units

2) 5

Step-by-step explanation:

absolute value is basiclly the opposite for example 4 would be -4 and -7 would be 7

also if it has lines like this: |2| it stays as it is so |3| is still 3 and |-5| is still 5

hope this helps :)

What is the equation of the line through the points (1, 1), (5, 4), (9, 7) and (13, 10)? y=3/4x+1/4
y=4/3x+1/3
y=3/4x−1/4
y=4/3x−1/3
Please help

Answers

Answer:

y = 3/4 x + 1/4

Step-by-step explanation:

line through the points (1, 1), (5, 4)

slope (m) = (4 - 1) / (5 - 1) = 3/4

y = mx + b       b = y - mx   ... for point (1 , 1)

b = 1 - 3/4 = 1/4

Line: y = 3/4 x + 1/4

check for point (9 , 7):     3/4 * 9 + 1/4 = 28/4 = 7

josh sketched on a paper tree one-fifth of a foot tall. Then he drew the same tree on the wall two-thirds of a foot tall to decorate his room. how much larger than the sketch is the drawing.

Answers

Answer:

Step-by-step explanation:

Subtraction

Equation

2/3 - 1/5

Solution

20/30 - 6/30

14/30

7/15        

The tree on the wall is 7/15 of a foot larger than the tree on paper.

Division

2/3 // 1/5 = 2/3 * 5/1 = 10/3 = 3 1/3

The tree on the wall is 3 1/3 times the tree in the drawing.

Can you please help me!? Explain and show work, please!

Answers

Answer:

no solution

Step-by-step explanation:

Find the value of k so that the binomial (x – 3) is a factor of the function f(x) = 3x + 2x + kr - 3.
A. 32
B. -32
C. 13
D. -13
E. -22

Answers

The answer should be B. -32. Hope this helps

the order of the surd 7√8​

Answers

Hello,

[tex]7 \sqrt{8} = \sqrt{7.7.8} = \sqrt{392} [/tex]

Býe býe.

someone please help

Answers

Answer:

6

Step-by-step explanation:

Can someone tell me if these equations are parallel, perpendicular, intersect but not perpendicular, or coincide??

3x = 4y - 6
-4x = 3y - 6

Answers

Make them y = mx + b
4y = 3x + 6
y = 3/4x + 6/4
3y = -4x + 6
y = -4/3x + 2
They have opposite sign and reciprocal slope so they are perpendicular

Answer: perpendicular and intersect

find the values of x in [0,360) which satisfy 2cot^2x=-3cscx

Answers

Answer:

The values of x is -30 degrees and undefined

None of these values fall within the given range

Thus, no value within the given range is the solution to the equation

Step-by-step explanation:

Here, we want to find the value of x that works for the equation in the selected range

2cot^2x = -3csc x

Mathematically, from trigonometry;

cot^2x = csc^2x - 1

Substitute this above

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

let csc x = b

2(b^2-1) = -3b

2b^2 - 2 + 3b = 0

2b^2 + 3b - 2 = 0

2b^2 + 4b - b - 2 = 0

2b(b+ 2) - 1( b + 2) = 0

(2b-1)(b + 2) = 0

2b = 1

b = -2

b = 1/2 = 0.5

or b = -2

Recall;

csc x = b

x = csc^-1 b

x = csc^-1 0.5

x = undefined

Secondly;

b = -2

x = csc^-1 (-2)

x = -30 degrees

As we can see , between the points

0 ≤ x < 360

None of our answers fall in these range

Q8
The table below shows the masses of 6 stick insects.
Name of Insect
Mass (m)
Arthur
7.825 9
Bethan

7.265 9
Clarry
8.15 9
Deena
7.455 9
Ethan
8.945 9
Freya
7.0159
(a) Write the name of the stick insect with m > 8.85 g
Answer:
(b) Write the name of the stick insect with m s 7.155 g
Answer:
(1
Score:
out of 16

Answers

Answer:

Ethan

Question b is incomplete

Step-by-step explanation:

Given the masses of the 6 insects below :

Name of Insect ______ Mass (m)

Arthur _____________ 7.8259

Bethan ____________ 7.2659

Clarry ______________8.159

Deena _____________ 7.4559

Ethan ______________ 8.9459

Freya ______________ 7.0159

Write the name of the stick insect with m > 8.85g

Mass (m) greater than 8.55 g

From the table :

8.945 > 8.55 ;

Hence, Ethan

(b) Write the name of the stick insect with m s 7.155 g

Question b isn't complete

When solving 7.6 ÷ 10, how is the decimal point moved?

1 place to the right

1 place to the left

2 places to the right

2 places to the left

Answers

Answer:

1 place to the left

Step-by-step explanation:

im pretty sure

it is moved 1 place to the left

Solve the system by substitution

Answers

Answer:

(x,y) = (-36,6)

Step-by-step explanation:

-6y=x

x+y=-30

x=-6y,

so -6y+y=-30

-5y=-30

y=6

x=-36

Hope this helps pls hit the crown :D

3(1−9a)+22a=2(2a−9)−15
i need a step by step explanation please

Answers

Answer:a=4

Step-by-step explanation:

Expand the brackets. Collect like terms. Get the same values on each side so it’s easier to isolate a. Divide 9 from 9a so that u get a by itself and this gives u the answer if 36/9 or 4.

Answer:

a = 4  

Step-by-step explanation:

first distrubute the 3 and then 2 in the equations to whatever is inside the parantheses:

3 ( 1-9a) + 22a = 2(2a-9) -15

3 - 27a + 22a = 4a - 18 - 15

then combine the terms:

3 - 5a = 4a -33

then isolate the variables and constants to one side, for example move the 5a to the right side of the equation and move the 33 to the left side of the equaiton and then simplfy

36 = 9a

divide both sides by 9

a = 4  

please help this is due in 10 mins. 1

Answers

I think the coordinates for C are (2,7)
Coordinates for C are 2, 7

please help! i need this done now<3

Answers

Answer:

25

Step-by-step explanation:


1. A small college requires its students to take at least one Mathematics course and at least one Science course. A survey of 140 of its students shows that:
60 completed their Mathematics requirement, 45 completed their Science requirement and 20 completed both Mathematics and Science requirements. Use a Venn diagram to find the number of students who had completed:
a. exactly one of the two requirements;
b. at least one of the requirements;
c. neither requirement.

Answers

Answer:

65

85

Step-by-step explanation:

Exactly one of the two requirement

Maths only = 45 - 20 = 25

Science only = 60 - 20 = 40

Exactly one = (25 + 40) = 65

B.) Atleast one :

(25 + 40 + 20) = 85

C) Neither :

140 - 85 = 55

A bowl contains blueberries and strawberries. There are a total of 16 berries in the bowl. The ratio of blueberries to strawberries is 3 : 1. How many of each berry are in the bowl?

Answers

Answer:

12 blueberries and 4 strawberries

Step-by-step explanation:

We can try the guess method.

3:1      3 + 1 = 4     4 is too low. We need a sum of 16.

Multiply both numbers in the ratio by 2.

6:2     6 + 2 = 8   8 is still too low

Multiply both numbers in the ratio by 4.

12:4    12 + 4 = 16    16 is correct.

Answer: 12 blueberries and 4 strawberries

!PLEASE HELP ME!
Tim thinks that the following expression will only yield values that are positive. x^2

Is Tim correct? Explain why or why not and provide three examples that prove whether Tim’s statement is correct.

Answers

Answer:

We conclude that Tim is correct when he says that the expression x² only yields values that are positive.

Step-by-step explanation:

Given the expression

Plug in and checking x = 1 and x = -1 in the expression

Putting x = 1 in the expression

x²= (1)² = 1

Putting x = -1 in the expression

x²= (-1)² = 1

Thus, the expression yields the same output '1' when we enter x = 1, and x=-1.

Plug in and checking x = 2 and x = -2 in the expression

Putting x = 2 in the expression

x²= (2)² = 4

Putting x = -1 in the expression

x²= (-2)² = 4

Thus, the expression yields the same output '4' when we enter x = 2, and x=-2.

Plug in and checking x = 3 and x = -3 in the expression

Putting x = 3 in the expression

x²= (3)² = 9

Putting x = -1 in the expression

x²= (-3)² = 9

Thus, the expression yields the same output '9' when we enter x = 3, and x=-3.

The reason why the expression x² only yields positive values because the expression is in the square form, and the square of any number will always yield a positive value, no matter whether the input number is negative or positive.

Therefore, we conclude that Tim is correct when he says that the expression x² only yields values that are positive.

Bill wanted to try out different water craft he went 62 mikes downstream in a motor boat and 27 mikes down stream on a jest ski his speed on the jet ski was 10 mph faster than the motor boat bill spent a total of 4 hours on the water what was his speed in the motor boat

Answers

Answer:

The speed on motorboat is 20 mph

Step-by-step explanation:

here, we want to find the speed on the motorboat

if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph

The total hours is 4 hours

Mathematically; speed = distance/time

Time on ski is 27/x+ 10

Time on motor boat is 62/x

The addition of both is 4

Thus;

27/(x + 10) + 62/x = 4

27(x) + 62(x + 10) = 4(x)(x + 10)

27x + 62x + 620 = 4(x^2 + 10x)

89x + 620 = 4x^2 + 40x

4x^2 -49x-620 = 0

using the quadratic formula;

{-b ± √(b^2-4ac)}/2a

where a = 4, b = -49 and c = -620

= 49 ± √(-49)^2-4(4)(-620)/8

So we have

49+ 111/8 or 49-111/8

Speed cannot be negative

(49 + 111)/8

= 20 mph

please help look at the picture to see the question.

Answers

Answer: oo I did this in one quiz i thnk is c I put thaha

Step-by-step explanation:

PLS HELP FIRST ONE RIGHT GETS BRAINLEST |||| A produce stand is packing blueberries into 2/5 pound containers. How many containers can be filled with 60 pounds of blueberries? 1/150 1/24 24 150​

Answers

Answer:

The answer is 24

Step-by-step explanation:

24

Answer:

24

Step-by-step explanation:

24

factor 64x² + 114x + 81
um idk how to do these and I'm not gonna learn please help. also I'm gonna have a lot more like this so if you can go through my questions and answer them if you know how... that would be great :)

Answers

The answer is 64x^2+114x+81. Hope this helps.

Classify the triangle. Check all that apply

Acute
Obtuse
Right
Scalene
Isoceles
Equilateral
Equiangular
None of the above

Answers

Answer:

The answer is Right because of the tiny square in the right corner and scalene because none of the three sides are equal in length.

Step-by-step explanation:

I hope this helps!

On a two-week job, a repairman works a total of 70 hours,He charges 75$ plus 40$ per hour. An equation shows this relationship, where x is the number of hours and y is the total fee. 3.Which number is the slope of the line shown by the equation? A .14 C .70 B. 40 D.75 4.Which number is the y-intercept A. 14 C. 70 B.40 D.75

Answers

Answer:

Which number is the slope of the line shown by the equation?

B. 40

Which number is the y-intercept

D.75

Step-by-step explanation:

The formula for the Equation of a line =

y = mx+b

where:

m is the slope and b is the y-intercept.

Hence, interpreting the above question:

On a two-week job, a repairman works a total of 70 hours,He charges 75$ plus 40$ per hour.

x is the number of hours and y is the total fee.

Hence, the Equation we have is:

y = $40 × x + 75

y = 40x + 75

Comparing with the Equation of a line formula

= y = mx+b

Therefore:

The slope of the line = 40

The y intercept = 75

What is the length of segment V? Help please asap

Answers

11

Explanation

8+6=14
14-3=11

Answer:

11

Step-by-step explanation:

8+6=14

14-3=11

Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9? (1 point)

Answers

Answer:

36/25

Step-by-step explanation:

7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9

((7 * 3 * 2)/(7 * 5))^2 * (7^0/5^-3)^3 * 5^-9 =

= (42/35)^2 * (1 * 5^3)^3 * 5^-9

= (6/5)^2 * 5^9* 5^-9

= 36/25 * 5^0

= 36/25

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