Someone helpppppppppppppp..... Worth 20 pointsssssss it's the last question and I've been confused for the past 2 hours Write your own problem about slopes, lines, and intercepts, and solve for this inequality: 3.75x − 2.3 > 2.75x + 3.8

Answer:

x   f(x)   g(x)

1    15    3

2    16   4

3    15    5

4    12    6

5    7     7

6    0     8

f(x) = g(x) when x = 5

Step-by-step explanation:

f(x) = -x² + 4x + 12

f(1) = -(1)² + 4(1) + 12 = 15

f(2) = -(2)² + 4(2) + 12 = 16

f(3) = -(3)² + 4(3) + 12 = 15

f(4) = -(4)² + 4(4) + 12 = 12

f(5) = -(5)² + 4(5) + 12 = 7

f(6) = -(6)² + 4(6) + 12 = 0

g(x) = x + 2

g(1) = 1 + 2 = 3

g(2) = 2 + 2 = 4

g(3) = 3 + 2 = 5

g(4) = 4 + 2 = 6

g(5) = 5 + 2 = 7

g(6) = 6 + 2 = 8

Final answer:

The solution to the equation f(x) = g(x), where f(x) = −x² + 4x + 12 and g(x) = x + 2, is x = 5. To find this, set the equations equal to each other, simplify, and then factor to solve for x.

Explanation:

To find the  solution  to the equation f(x) = g(x), we need to set the formulas given for each function equal to each other and then solve for x. We are given f(x) = −x² + 4x + 12 and g(x) = x + 2, so we write out the equation as follows:

−x² + 4x + 12 = x + 2

Now we need to solve this equation for x. First, let's simplify by gathering all terms to one side of the equation:

−x² + 4x - x + 12 - 2 = 0

This simplifies to −x² + 3x + 10 = 0

Next, we'll factor this quadratic equation to solve for x: -(x – 5)(x + 2) = 0.

Setting each factor equal to zero gives the solution: x = 5, x = -2. Looking back at the original options, only x = 5 is a viable option.

Learn more about Solving Equations here:

brainly.com/question/14410653

#SPJ3

Answer:

(42 x 7) - (8.25 x 8)

Step-by-step explanation:

The answer is quite easy to answer,you see he saves 42 dollars each week for 7 weeks which is 42 times 7.He also says he plans to spend 8.25 each day for 8 days,which is 8.25 times 8.And to find how much is left you need to subtract.

Answer:

108 pounds of mulch.

64 pounds of gravel.

Step-by-step explanation:

Let x be the amount of mulch sold and y be the amount of gravel sold.

We have been given that a supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel.  

We can represent this information as:

We are also told that the supplier sells 172 pounds of mulch and gravel combined. We can represent this information as:

From equation (1) we will get,

Substituting this value in equation (2) we will get,

Now let us have a common denominator.

Therefore, the supplier sold 64 pounds of gravel.

Upon substituting y=64 in equation (2) we will get,

Therefore, the supplier sold 108 pounds of mulch.