2 cups = 1 pint, 2 pints = 1 quart, 4 quarts = 1 gallon; 32 cups = ___ gallons?

Answer:

f(-3) = 9

Step-by-step explanation:

Step 1: Define

f(x) = -2x² - 7x + 6

f(-3) = x = -3

Step 2: Substitute and evaluate

f(-3) = -2(-3)² - 7(-3) + 6

f(-3) = -2(9) + 21 + 6

f(-3) = -18 + 21 + 6

f(-3) = 3 + 6

f(-3) = 9

Substituting x = -3 into the function f(x) = -2x^2 - 7x + 6, we get f(-3) = -33. Therefore, the value of the function at x = -3 is -33.

To evaluate the function f(x)=−2x ^2 −7x+6 at  x=−3, substitute  −3 for x in the function: f(−3)=−2{(−3) }^2 −7(−3)+6

Now, calculate each part of the expression:

(−3) ^2   is 9  because the square of  −3 is  9.

−2 times 9 is  −18 because −2⋅9 =−18.

−7 times −3 is  21 because −7⋅−3=21.

Now, plug these values back into the expression:

f(−3)=−18−21+6

Finally, add and subtract:

f(−3)=(−18−21)+6=−39+6=−33

So, f(−3)=−33.

The value of the function

f(x)=−2x^ 2 −7x+6 at  x=−3 is  −33.

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Answer:

Answer is 24288.

Step-by-step explanation:

Given that there are 18 senior and 22 junior partners.

To find:

Number of ways of selecting at least one junior partner to form a committee of 3 partners.

Solution:

At least junior 1 member means 3 case:

1. Exactly 1 junior member

2. Exactly 2 junior member

3. Exactly 3 junior member

Let us find number of ways for each case and then add them.

Case 1:

Exactly 1 junior member:

Number of ways to select 1 junior member out of 22: 22

Number of ways to select 2 senior members out of 18: 18 17

Total number of ways to select exactly 1 junior member in 3 member committee: 22 18 17 = 6732

Case 2:

Exactly 2 junior member:

Number of ways to select 2 junior members out of 22: 22 21

Number of ways to select 1 senior member out of 18: 18

Total number of ways to select exactly 2 junior members in 3 member committee: 22 21 18 = 8316

Case 3:

Exactly 3 junior member:

Number of ways to select 3 junior members out of 22: 22 21 20 = 9240

So, Total number of ways = 24288

Final answer:

The problem can be solved by finding the total number of ways to form a committee of three from all partners and the ways to form a committee solely from senior partners. Subtracting the number of all-senior committees from the total committees yields the number of committees that include at least one junior partner.

Explanation:

This problem is a combination problem dealing with probability and involves the use of the formula for combinations: C(n, k) = n! / [k!(n-k)!], where n is the total number of options, k is the number of options chosen, and '!' denotes a factorial.

The total number of ways to select 3 partners from the 40 (18 senior + 22 junior) is C(40, 3).

The only scenario where a junior partner is not present in the committee is when all three are senior partners. The number of ways to select 3 senior partners from the 18 available is C(18, 3).

So, to find the number of ways to form a committee with at least one junior partner, subtract the number of all-senior committees from the total number of committees. Therefore, the solution is C(40, 3) - C(18, 3).

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Answer:

y ≤0

Step-by-step explanation:

y =- x^2

x^2 is always positive or 0

Make this negative

- x^2 is negative or 0

The range is negative or 0

y ≤0

Answer:

Step-by-step explanation:

y=-x^2

the range is(-∞,0]

y≤ 0 ( since the coefficient  a is negative it is open downward)

Answer:

A,B,E

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

If N=4 and the problem is C= N+15 that means you add 4 to 15 and then get 19 which will be your answer for C. You can also check this by subtracting 19-15 or 19-4!!! I hope this helps!!! Have a great day whom ever you are

26 divided by 53 equals 6 with a remainder of 8.

To solve 326 divided by 53 using long division, let's go step by step:

         6

  ------------

53 | 326

1. First, we divide 53 into 32. The largest multiple of 53 that fits into 32 is 0. So, we bring down the next digit from 326, which is 6.

         6

  ------------

53 | 326

    -

2. We now have 326. We divide 53 into 326, which gives us 6. The quotient is written above the line.

         6

  ------------

53 | 326

    - 318

3. We subtract 318 from 326, which gives us 8.

         6

  ------------

53 | 326

    - 318

    -----

         8

4. We have a remainder of 8. Since there are no more digits to bring down, we have our final result.

Therefore, 326 divided by 53 equals 6 with a remainder of 8.

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Answer: 6.150943396

6.15 if rounded

Step-by-step explanation: