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spin [16.1K]
3 years ago
9

2x - (-8) - 7x + 4 +10

Mathematics
2 answers:
blondinia [14]3 years ago
7 0
You add a 1 where the first negative is so when you multiply that’s -1 times -8 so that’s positive 2x + 8. Then you add the numbers up that don’t have a variable and you come up with 2x + 22 - 7x. Then you combine like terms to get -5x + 22. And that’s your answer.
3241004551 [841]3 years ago
3 0

Answer:

-5x+22

Step-by-step explanation:

we are simplifying

2x-(-8)-7x+4+10=

2x+8+-7+4+10=

2x+8+-7x+4+10

(2x+-7)+(8+4+10)= -5x+22

Hope it helps

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It is the graph of p is steeper than the graph of q.


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3 years ago
A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m high
Agata [3.3K]

Answer:

dy/dt = 1.02 m/s

Step-by-step explanation:

First of all, let the distance of the dock above the bow of the boat be represented by x.

Also, let the distance of the boat from the dock be represented by y.

Let z represent the length of the rope.

Now, we can use pythagoras theorem to find a relationship between x, y and z since they form a right angle triangle where the vertical part is the dock, the base represents the water and the hypotenuse represents the rope.

Thus;

x² + y² = z²

Using implicit differentiation, we have;

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

We are given that the dock is 1 meter above the bow. Thus, x = 1

Also, the height is not changing and so dx/dt = 0

We are told the dock is 5 feet away from the boat. Thus, y = 5

dy/dt is is the speed we are looking for which is the rate at which the boat is approaching the dock.

We are not given the value of z but we can find it by using pythagoras theorem since we know the dock is 1 meter above the bow and the boat is 5 m away.

Thus;

z = √(1² + 5²)

z = √26

We are told the rope is being pulled in at the rate of 1 m/s. Thus; dz/dt = 1

Plugging all relevant values into the differentiation equation above gives;

2(1)(0) + 2(5)(dy/dt) = 2(√26)(1)

10(dy/dt) = 2√26

Divide both sides by 10 to get:

dy/dt = (√26)/5

dy/dt = 1.02 m/s

5 0
3 years ago
Jill makes 40 hours per week. She makes $20 per hour. What is his gross pay
krek1111 [17]

Answer:

Weekly Gross Income: $800

Anual Gross Income: $41,600

Monthly Gross Income: $3,466.67

Step-by-step explanation:

Weekly: 40 x 20 = 800

Anual: 40 x 20= 800     800x52= 41,600

Monthly:41,600 / 12= 3,466.6666666666666666666666

4 0
3 years ago
D -e/3d + e= e, for d​
navik [9.2K]

Answer:

\large\boxed{d=\dfrac{e^2+e}{1-3e}}

Step-by-step explanation:

\dfrac{d-e}{3d+e}=e\\\\\dfrac{d-e}{3d+e}=\dfrac{e}{1}\qquad\text{cross multiply}\\\\(1)(d-e)=(e)(3d+e)\qquad\text{use the distributive property}\\\\d-e=3de+e^2\qquad\text{add}\ e\ \text{to both sides}\\\\d=3de+e+e^2\qquad\text{subtract}\ 3de\ \text{from both sides}\\\\d-3de=e^2+e\qquad\text{distribute}\\\\d(1-3e)=e^2+e\qquad\text{divide both sides by}\ (1-3e)\\\\d=\dfrac{e^2+e}{1-3e}

8 0
3 years ago
Increase 12 in to the given ratio of 4:3​
inysia [295]

Answer:

16:12

Step-by-step explanation:    

                   (4+12)=16

16/4 = 4

4x3=12

    Another method:

4---------3

16-------x

Cross multiplication

4x=16x3

4x=48

x=12

4 0
2 years ago
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