What is the y-intercept of this quadratic function?
f(1) = -12 + 101 - 22

Answer:

To find the value of c in 3(7c - 6z) = 108, simplify and isolate c: c = (18z + 108) / 21.

To find the value of c in the equation 3(7c - 6z) = 108, we can follow the steps below:

1. Start with the given equation: 3(7c - 6z) = 108.

2. Distribute the 3 to the terms inside the parentheses: 21c - 18z = 108.

3. Move the constant term to the other side of the equation by subtracting 108 from both sides: 21c - 18z - 108 = 0.

4. Combine like terms: 21c - 18z - 108 = 0.

5. Simplify the equation: 21c - 18z = 108.

6. Add 18z to both sides of the equation to isolate the term with c: 21c = 18z + 108.

7. Divide both sides of the equation by 21 to solve for c: c = (18z + 108) / 21.

8. The value of c is equal to (18z + 108) divided by 21.

9. Simplify the expression on the right side of the equation: c = (18z + 108) / 21.

10. If necessary, further simplify the expression by dividing 18z and 108 by their greatest common divisor. For example, if both terms are divisible by 3, divide them by 3 to simplify the expression.

11. Now, the equation c = (18z + 108) / 21 is in its simplest form.

12. If you have a specific value for z, you can substitute it into the equation to calculate the corresponding value of c. Simply replace z with the given value and evaluate the expression.

13. If no specific value for z is provided, the equation c = (18z + 108) / 21 represents c in terms of z.

14. Remember to consider any restrictions or conditions that may apply to the variables in the equation. For example, if z cannot equal zero due to division by zero restrictions, make sure to exclude that value from the domain.

15. By following these steps, you can determine the value of c in the equation 3(7c - 6z) = 108.

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The length of the diagonal of a 7 cm × 6 cm × 12 cm rectangular prism is 9.2 cm.

To find the length of the diagonal of a rectangular prism, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the diagonal of the rectangular prism is the hypotenuse, and the other two sides are the length and width of the rectangular prism.

So, we can use the following formula to find the length of the diagonal:

Diagonal = √(length² + width²)

In this case, the length and width of the rectangular prism are 7 cm and 6 cm, respectively. So, we can plug these values into the formula to find the length of the diagonal:

Diagonal = √(7² + 6²)

= √(49 + 36)

= √85

= 9.2 cm (rounded to the nearest tenth)

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Answer:

-11 1/4

Step-by-step explanation:

Answer:

The length of his walkway will be 10 feet.

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

a^2+b^2=c^2. 10^2 or 10*10=100 + 24^2 or 24*24=576 add them you get 676 then you do the square root of 676 you get 26

Answer:

I believe the correct answer is B

Step-by-step explanation:

I think you should have a picture of this equation

Answer:

^ABC is not similar to ^ADF

Step-by-step explanation:

I just took this test and i got a A goodluck

9514 1404 393

Answer:

  t = 1 1/7 ≈ 1.1429 seconds

Step-by-step explanation:

Filling in the given height, we can solve for t:

  640 = -490t^2 +1120t

  49t^2 -112t +64 = 0 . . . . . divide by 10, put in standard form

  (7t -8)^2 = 0

  t = 8/7 . . . . . . . the value of t that makes the factor(s) zero

The model rocket will reach its maximum height of 640 cm after 1 1/7 seconds.

Answer:

24 minutes

Step-by-step explanation:

Answer:

24 minutes

Step-by-step explanation: 61% of 38 is about 23.18% which could be rounded up to 24 :) hope this helps!

To determine the revealed preference between bundles A, B, and C, we need to compare the choices made by Betty under different price conditions.  1. When prices are ($2, $4, $1), Betty chooses bundle C over bundle A. This implies that C is directly revealed preferred to A at these prices.

2. When prices are ($5, $3, $3), Betty chooses bundle A over bundle B. This implies that A is directly revealed preferred to B at these prices.

3. When prices are ($3, $1, $4), Betty chooses bundle B over bundle C. This implies that B is directly revealed preferred to C at these prices. Based on these comparisons, we can conclude the following: - Bundle C is directly revealed preferred to bundle A. - Bundle A is directly revealed preferred to bundle B. - Bundle B is directly revealed preferred to bundle C. There are no cases of indirect revealed preference, where one bundle is preferred to another through a series of choices. Therefore, each pair of bundles has a clear ordering of direct revealed preference. Bundle C is directly preferred to A, A is directly preferred to B, and B is directly preferred to C.

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Answer:

17.6

Step-by-step explanation:

Answer:

Infinite amount of solutions.

Step-by-step explanation:

Step 1: Write equation

2x - x + 7 = x + 3 + 4

Step 2: Solve for x

Here, we see that x is infinite amount of solution. We can plug in any number x and it will render the equation true.

Step-by-step explanation:

-21x + 6x - 4

-15x - 4

Thats what I think is the answer

Answer:

a

Step-by-step explanation:

Answer:

72 ft by 18ft

Step-by-step explanation:

Answer:

19/36.

Step-by-step explanation:

Shane’s average was 19/36 jumps completed. Here is the equation: (2/3+4/6+1/4) / 3 =a . 4/6 is = ⅔, so ⅔ + ⅔ = 4/3. ¼ is equal to 3/12 and 4/3 is equal to 16/12, and 16/12 + 3/12=19/12. 19/12 divided by three is 19.36, because it is.

Answer: 19/36

Step-by-step explanation:

A mean equation is hidden in this word problem. Focus on the 2 out of 3, 4 out of 6, and 1 out of 4. Those numbers are actually fractions. Shane managed to complete 2/3 of the jumps on the lowest bar, he managed to complete 4/6 of the jumps on the middle bar, and 1/4 of the jumps on the highest bar.

Step 1: Write the mean equation

(2/3 + 4/6 + 1/4)/3 = x

Step 2: Find the common denominator

3, 6, and 4 are all factors of 12, so 12 is your common denominator

4(2/3) = 8/12

2(4/6) = 8/12

3(1/4) = 3/12

Now rewrite the equation with the common denominator

(8/12 + 8/12 + 3/12)/3 = x

Step 3: Sum the fractions

(19/12)/3 = x

Step 4: I

Invert and multiply

(19/12)/3 = 19/12 * 1/3 = 19/36

This is your answer.

To determine how fast the distance between them is changing at that moment, we can calculate the relative velocity.

Brooke and Jamail are moving in opposite directions, so their speeds are added together. Their combined speed is 6 km/h + 7 km/h = 13 km/h.

In 7 seconds, they will travel a distance of 13 km/h * 7 s / 3600 s/h = 0.27 m.

The distance between them will be 27 m - 0.27 m = 26.73 m.

The rate at which the distance between them is changing is 13 km/h = 13000 m/h = 42.4 m/s.

Therefore, the distance between Brooke and Jamail is 26.73 m after 7 seconds, and the distance between them is changing at a rate of 42.4 m/s.

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The given problem involves evaluating four different integrals. The first integral is ∫(1/(2x + 1)³)dx. The second integral is ∫2dr. The third integral is ∫[tex]x*e^{(-x)dx[/tex], where L'Hopital's Rule needs to be applied. The fourth integral is ∫([tex]e^{(-x)/x dx[/tex]. We need to determine the solutions to each of these integrals.

To evaluate ∫(1/(2x + 1)³)dx, we can use a substitution method. Let u = 2x + 1, then du = 2dx. The integral becomes ∫(1/u³)(1/2)du. Simplifying, we get (1/2) ∫[tex]u^{(-3)du[/tex] = (1/2)(-1/2u²) + C = -1/(4u²) + C = -1/(4(2x + 1)²) + C.

The integral ∫2dr is a simple integration with respect to r. The integral of a constant is simply the constant times the variable, so the result is 2r + C.

The integral ∫[tex]xe^{(-x)dx[/tex]can be solved using integration by parts. Let u = x and dv = [tex]e^{(-x)dx[/tex]. Then du = dx and v = [tex]-e^{(-x)[/tex]. Applying the integration by parts formula, we have ∫u dv = uv - ∫v du. Plugging in the values, we get x([tex]-e^{(-x)[/tex]) - ∫([tex]-e^{(-x)[/tex])dx = [tex]-xe^{(-x)}[/tex] + [tex]e^{(-x)[/tex]+ C.

The integral ∫(e^(-x))/x dx requires the application of L'Hopital's Rule. Taking the derivative of the numerator and denominator, we have (-e^(-x))/1. Applying L'Hopital's Rule, we get [tex]∫(e^{(-x)})/x dx[/tex] = lim(x->∞)(-e^(-x))/1 = 0.

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The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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Answer:

  10 + 9

Step-by-step explanation:

The point of the commutative property is you can switch the order of operands. Doing that gives ...

  9 + 10 = 10 + 9

Answer:10+9

Step-by-step explanation:

9+10

Answer:

what is the question

Step-by-step explanation:

Answer:

20-to-24- year-old women  spend 55 minutes and men spend 27 minutes on grooming

Step-by-step explanation:

let  x is the average time of 20-to-24- year-old women

y is the average time of men.

The sum of the average times spent on grooming for 20-to-24- year-old women and men is 82 minutes:

x + y = 82      .....(1)

The difference between grooming times for 20-to24-year old women and men is 20 minutes:

x - y = 28      .....(2)

Add equation 1 and 2.

x + y = 82  

x - y =  28

2x    =  110

  x    =  55

The average time of 20-to-24- year-old women  is 55 min .

Put x = 55 in equation 1.

55 + y = 82

y = 27

The average time of men is 27 min.

Hence, 20-to-24- year-old women  spend 55 minutes and men spend 27 minutes on grooming

1. Price constraint: Pc = $8

2. when Pc = $8, C ≈ 10.22, and S ≈ 40.88.

Price constraint: Pc = $9

3. when Pc = $9, C = 9.2, and S = 36.8.

Price constraint: Pc = $2

4. When Pc = $2, C ≈ 30.67, and S ≈ 122.68.

To graph Susan's consumption curve and budget constraints, we'll use the given information:

The price of a cup of coffee is denoted as Pc = $8.

The price of a spoonful of sugar is denoted as Ps = $0.25.

Susan's budget for coffee and sugar combined is $92.

Let's start by plotting the consumption curve for prices re = Sl, rc = 32, and rc = So. We'll calculate the number of cups of coffee (C) and the number of spoonfuls of sugar (S) corresponding to each price point.

Price constraint: Pc = $8

Since Susan spends exactly four spoonfuls of sugar (S) for each cup of coffee (C), we can express S in terms of C: S = 4C.

Using the budget constraint equation, we have: 8C + 0.25S = 92.

Substituting S = 4C into the equation: 8C + 0.25(4C) = 92.

Simplifying the equation: 8C + C = 92.

Combining like terms: 9C = 92.

Solving for C: C = 92 / 9, approximately 10.22.

Therefore, when Pc = $8, C ≈ 10.22, and S ≈ 40.88.

Price constraint: Pc = $9

Using the same approach, we substitute the new price into the equation.

9C + 0.25(4C) = 92.

Simplifying the equation: 9C + C = 92.

Combining like terms: 10C = 92.

Solving for C: C = 92 / 10, which is exactly 9.2.

Therefore, when Pc = $9, C = 9.2, and S = 36.8.

Price constraint: Pc = $2

Applying the same method:

2C + 0.25(4C) = 92.

Simplifying the equation: 2C + C = 92.

Combining like terms: 3C = 92.

Solving for C: C = 92 / 3, approximately 30.67.

Therefore, when Pc = $2, C ≈ 30.67, and S ≈ 122.68.

Now, we can plot these points on a graph with the number of cups of coffee (C) on the horizontal axis and the number of spoonfuls of sugar (S) on the vertical axis:

Consumption curve: Connect the three plotted points (10.22, 40.88), (9.2, 36.8), and (30.67, 122.68).

Budget constraint for Pc = $8: Plot the point (10.22, 40.88) and draw a straight line from the origin to that point.

Budget constraint for Pc = $9: Plot the point (9.2, 36.8) and draw a line from the origin to that point.

Budget constraint for Pc = $2: Plot the point (30.67, 122.68) and draw a line from the origin to that point.

Make sure to label the axes and the curves accurately.

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The given set of vectors is not a subspace. Here's why:Let a = 1, b = 0, and c = 0. Then, (b, 0, 0) ∈ S.Let a = 0, b = 1, and c = 0. Then, (0, b, 0) ∈ S.However, (b, 0, 0) + (0, b, 0) = (b, b, 0) does not belong to S for b ≠ 0. Therefore, S is not closed under vector addition and is not a subspace.

A subspace of a vector space V is a subset S that is closed under vector addition and scalar multiplication of V and has three properties: The zero vector of V is in S; S is closed under addition; and S is closed under scalar multiplication. In other words, the zero vector of V and all vectors in S can be scaled and added without leaving S.

However, the given set of vectors is not a subspace. Let a = 1, b = 0, and c = 0. Then, (b, 0, 0) ∈ S. Let a = 0, b = 1, and c = 0. Then, (0, b, 0) ∈ S.However, (b, 0, 0) + (0, b, 0) = (b, b, 0) does not belong to S for b ≠ 0. Therefore, S is not closed under vector addition and is not a subspace.

The subset of R3 consisting of vectors of the form b, where abc = 0 is not a subspace.

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Answer:

You are probably making this harder than it is. That's what I was doing. So it is asking for the hour when it is [tex]76^oF[/tex]. So that would be 4. Then it is asking for the temperature at 2 hrs. so that would be 104[tex]^oF[/tex]. so your answer would be 104, 4.

Hope this helps!

Answer:

Step-by-step explanation:

Sum of angles in a triangle = 180

[tex]77\° +43\° +x\°=180\°\\\\120\°+x =180\°[/tex]

Collect like terms and simplify

[tex]x\° =180\°-120\°\\\\x \°=60\°[/tex]

Answer:

the answer is 13,440. you are welcome

Answer:

114%

Step-by-step explanation:

1.14 multiplied by 100 is 114, therefore your answer is 114%

I hope this helped, please mark Brainliest, thank you!

Answer:

The question is wrong

Step-by-step explanation:

neither is the value of x given, nor the value of SU line

Answer:

12:8

Step-by-step explanation:

8+4=12

and there are 8 red roses

So, the answer is 12:8