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galben [10]
3 years ago
6

Please help !!!!!!Asap!!

Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0
Answer: x=7, EF=12, FG=15

Step by Step:
(4x-16) + (3x-6) = 7x-22
7x-22=27
7x=27+22
7x=49
x=7

4(7)-16= 12
3(7)-6=15
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Jake can cut and split a cord of firewood in 9 fewer hours than Dwight can. When they work together, it takes them 6 hours. How
Luba_88 [7]

Answer:

18 hours for Dwight, 9 hours for Jake

Step-by-step explanation:

If J is the time it takes for Jake working alone, and D is the time it takes for Dwight working alone, then:

J = D − 9

Working together, Jake's speed plus Dwight's speed equals 1 cord per 6 hours.

1 / J + 1 / D = 1 / 6

Solve the system of equations by substituting for J:

1 / (D − 9) + 1 / D = 1 / 6

Multiply both sides by D − 9.

1 + (D − 9) / D = (D − 9) / 6

Multiply both sides by D:

D + D − 9 = D (D − 9) / 6

Simplify and solve:

2D − 9 = (D² − 9D) / 6

12D − 54 = D² − 9D

0 = D² − 21D + 54

0 = (D − 3) (D − 18)

D = 3 or 18

Since J = D − 9, D must be greater than 9.  So D = 18 and J = 9.

That means it takes Dwight 18 hours working alone, and it takes Jake 9 hours working alone.

3 0
3 years ago
Please help, i do not get this.
Artyom0805 [142]

Answer:

k(x) = |x - 4| - 2

Step-by-step explanation:

So we know that k(x) is shifted 4 untis to the right and 2 units down. In an absolute value function, the value you move to the left will be positive and the value you move to the right will be negative. Since we are moving to the right, our value will be negative.

When you shift the function up or down, you will either subtract or add that value out side the absolute value. Since we are shifting down 2 units, that means we will be subtracting by 2.

Best of Luck!

3 0
3 years ago
How do I do this?<br> also the first part that is answered is wrong
lord [1]

Answer:

i would say for the second one 2.5 and the first one about 30

Step-by-step explanation:

4 0
3 years ago
What is the first step in solving x^2+2x+3=0
Westkost [7]
First subtract three from both sides. then you have x^{2} +2x=-3 and you solve from there
7 0
3 years ago
Read 2 more answers
Evaluate-4/1/3-2+7/5/6
kirza4 [7]
Compute the division left to right first, and then the addition/subtraction left to right!
8 0
3 years ago
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