Solve the system of equations. If there is no solution or infinite solutions, select the appropriate option below.y= x-4; y= 6x-10

Answers

Answer 1

Answer:

Final answer:

The solution to the system of equations y= x - 4 and y= 6x - 10 is (1.2,-2.8) by using substitution method and solving the resulting equation.

Explanation:

To solve this system of equations, you can use the substitution method. Since both equations have 'y' isolated, you can set them equal to each other. This gives you x - 4 = 6x - 10. To solve this equation, you can subtract 'x' from both sides which will give you -4 = 5x - 10. Then add 10 to both sides to give you 6 = 5x. Finally, divide by 5 on both sides to give you x = 1.2. Substituting x = 1.2 into the first equation y = x - 4 gives us y = 1.2 - 4, which simplifies to y = -2.8. Thus the solution to the system of equations is (1.2,-2.8).

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A line has a y-intercept of -5 and passes through the point (-3, 1). write the equation of the line.

Find the difference using fraction bars or a paper and pencil. Write your answer in simplest form. 7/10 - 1/2

Answers

Answer:

1/5

Step-by-step explanation: First, turn 1/2 so that the denominator is the same as the other fraction (multiply both by 5 to get 5/10). Now subtract to get 2/10. Then, divide both by 2 to get the fraction in the simplest form.

Answer:

0.2

Step-by-step explanation:

because u have to subtract it

What is the volume of this cone?

Answers

Answer:

314

Step-by-step explanation:

volume of cone = 1/3 * pi * r^2 * h = 1/3 * pi * 5^2 * 12

Answer:

Step-by-step explanation:

Please help im so confused??
What is the surface area of the sphere below?

Answers

First required to be found would be the radius, as you already have, is 5. Then use the formula 4 \pi r ^{2} [/tex], then you would receive the answer, for that would be 314.16.

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De your understanding of the phosphorus cycle to answer the question provided. Phosphorus cycles between living things and the _______

Answers

hello

Phosphorus cycles between living things and the soil

Have a nice day :)

Phosphorus cycles between living things and the soil.

a rock is launched from a canon. it's height, h(x), can be represented by a quadratic function in terms of time, x, in seconds. After 1 second, the Rock is 58 ft in the air; after 2 seconds, it is 112 feet in the air. find the height, in feet, of the rock after 10 seconds in the air.

Answers

This is the quadratic function:
h(x)=ax²+bx+c

We have two points:
(1,58)
(2,112)

Now, we calculate this quadratic funtion.

we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0

(1,58)
a(1)²+b(1)=58
a+b=58 (1)

(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)

With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2

-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60

The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x

Now find the height, in feet, of the rock after 10 seconds in the air.

h(10)=-2(10)²+60(10)
h(10)=-200+600=400

Answer: 400 ft.

Answer: 400 ft.

For Plato

Simplify
hurry please !! :)

Answers

Answer:

4 square root of 5

Step-by-step explanation:

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