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k0ka [10]
2 years ago
8

Which equation best represents the line graphed above?

Mathematics
2 answers:
aniked [119]2 years ago
6 0
(0,-1)(2,0)
slope = (0+1)/(2-0) = 1/2

b = -1
equation

y = 1/2x -1

answer
A. y = 1/2x -1

Aleksandr-060686 [28]2 years ago
5 0
Y= 1/2x - 1. 
the slope is 1/2 and the y-intercept is -1
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Simplify 24x5 y6 . A) 2x2 y3 6x B) 4x2 y3 6x C) 6x2 y3 4x D) 6x2 y3 2x
Cerrena [4.2K]

Answer : A 2x^2y^3\sqrt{6x}

\sqrt{ 24x^5y^6}

Take square root for each term and simplify it

\sqrt{24} *\sqrt{x^5}  *\sqrt{y^6}

\sqrt{24}=\sqrt{4 * 6}  = 2\sqrt{6}

\sqrt{x^5} = x^2\sqrt{x}

\sqrt{y^6} = y^3

so we will get

2\sqrt{6} *  x^2\sqrt{x} * y^3

2x^2y^3\sqrt{6x}

4 0
2 years ago
There are 158 students registered for American History classes. There are twice as many students registered in second period as
Margarita [4]

There are 28 students in first period and 56 students in sceond period and 74 students in third period

<em><u>Solution:</u></em>

Let the number of students in first period be "x"

Let the number of students in second period be "y"

Let the number of students in third period be "z"

<em><u>There are 158 students registered for American History classes.</u></em>

Therefore,

x + y + z = 158 ---------- eqn 1

<em><u>There are twice as many students registered in second period as first period</u></em>

number of students in second period = twice of number of students in first period

y = 2x ------- eqn 2

<em><u>There are 10 less than three times as many students in third period as in first period</u></em>

number of students in third period = 3 times number of students in first period - 10

z = 3x - 10 ------ eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

x + 2x + 3x - 10 = 158

6x = 168

<h3>x = 28</h3>

<em><u>Substitute x = 28 in eqn 2</u></em>

y = 2(28)

<h3>y = 56</h3>

<em><u>Substitute x = 28 in eqn 3</u></em>

z = 3(28) - 10

z = 84 - 10

<h3>z = 74</h3>

Thus there are 28 students in first period and 56 students in sceond period and 74 students in third period

5 0
2 years ago
How to solve equations with the substitution method
Paul [167]

Answer:

In a system, the substitution method is one of the 3 main ways to solve a system and can be very efficient at times.

<u>Skills needed: Systems, Algebra</u>

Step-by-step explanation:

1) Let's say we are given two equations below:

  y=4x \\ 4x-5y=-32

  We can use substitution here by substituting in for y in the second equation.   This means we put in 4x for y in the 2nd equation so we only have x variables in the equation, allowing us to solve for x.

2) Solving it out:

1) 4x-5(4x)=-32 \\ 2) 4x-20x=-32 \\3) -16x=-32 \\4)x=2\\5)y=4x = 4(2) = 8 \\ 6)y=8

We essentially substitute in that value as seen in step 1. Steps 2 and 3 are just simplifying the left side and allowing for us to solve. Step 4 is where we divide by -16 on both sides to solve for x. Step 5 and 6 show us solving for y using the value for x. We get x=2,y=8

5 0
2 years ago
Read 2 more answers
Devon has 100 dimes and quarters. If the total value of what he has is $21.40, how many of each coin type does he have?
timurjin [86]

Answer:

4 dimes i think and 5.25 worth of quarters

Step-by-step explanation:

5 0
3 years ago
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Please help me i'm being timed
Naddika [18.5K]

Answer:

B. A linear, partial variation

Step-by-step explanation:

We know that speed = distance / time. From the table we have a linear function, and it's indirect, or partial.

4 0
3 years ago
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