Please help in a hurry!!!

Let's see -

Follow the directions below to get your answer -

0.75 × 68 = 51

51 + 68 = 119

So, 119 is your answer

68 increased by 75% is 119.

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Answer:

q=35

Step-by-step explanation:

x2 - 12x + q = 0

Let the two roots be r and r+2.

Factor the quadratic expression:

(x - r)[x - (r + 2)] = 0

Expand, simplify, group like terms, and get

x2 - 2(r + 1)x + r(r + 2) = 0

Compare to

x2 - 12x + q = 0

and set equal the coefficients of like terms:

Coefficient of x:

-2(r + 1) = -12 ⇒ r + 1 = 6 ⇒ r = 5

(Then the other root is r + 2 = 5 + 2 = 7)

Constant term:

r(r + 2) = q ⇒ 5(5 + 2) = q

q = 35

Test the solution:

(x - 5)(x - 7) = x2 - 12x + 35

With two roots differing by 2, you get an equation of the form

x2 - 12x + q = 0

with q = 35.

Answer:

f(g(-8)) = -26

Step-by-step explanation:

Given:

f(x)=2x and g(x)=2x+3

Required:

f(g(-8))=?

Solution:

First we will find g(-8)

g(x) = 2x+3

g(-8)= 2(-8)+3

      = -16 + 3

      = -13.

so, g(-8) = -13

Now, for calculation f(g(-8)) we can put the value of g(-8) i.e, -13

so, f(x) = 2x

    f(-13)  = 2(-13)

             = -26

so, f(-13) = -26

and f(g(-8)) = -26

Final answer:

To solve this problem, set up an equation using the given weights and solve for 'x' to find the weights of each friend's bag.

Explanation:

To solve this problem, we need to set up an equation based on the given information.

First, let's express the weights of Randall's, Seth's, and Joanna's bags in terms of 'x':

• Randall's bag: 3x - 7 pounds
• Seth's bag: 2x - 10 pounds
• Joanna's bag: 2x + 2 pounds

According to the problem, Randall's and Joanna's bags together weigh 3 times as much as Seth's bag. Mathematically, this can be written as:

(3x - 7) + (2x + 2) = 3(2x - 10)

Solving this equation will give us the value of 'x', which we can then use to find the weights of each friend's bag.

Learn more about Finding weights of bags here:

brainly.com/question/32831986

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Answer:

Randall=68 pounds, Seth's=40, Joanna's=52

Step-by-step explanation:

Randall's = 3x-7

Seth's = 2x-10

Joanna's = 2x+2

Randall's + Joanna's = 3 (Seth's)

Find X:

1. Form into an equation (add parentheses)
2. (3x-7) + (2x+2) = 3 (2x-10)
3. REmove parentheses on left side
4. 3x-7+2x+2 = 3 (2x-10)
5. Distribute right side
6. = 6x-30
7. 3x-7+2x+2 = 6x-30
8. Combine like terms
9. 5x-5=6x-30
10. subtract 5x from BOTH sides (always subtract, add, multiply, and divide both sides at the same time)
11. -5=x-30
12. Add 30 to BOTH sides
13. 25=x

Find how many pounds of trash each friend picked up:

Randall's:

1. 3x-7
2. plug in x  
3. 3(25)-7
4. Distribute
5. 75-7
6. = 68

Seth's:

1. 2x-10
2. 2(25)-10
3. 50-10
4. = 40

Joanna's:

1. 2x+2
2. 2(25)+2
3. 50+2
4. =52

Double check your answers:

Randall's+Joanna's= Seth's(3)

68+52=40(3)

120=120

You're good to go!