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Dahasolnce [82]
3 years ago
5

What is the equation of this line? y=2×-3y=-1/2×-3y=-2×-3y=1/2×-3​

Mathematics
1 answer:
Bad White [126]3 years ago
5 0

Answer:

First option, y = 2x - 3

Step-by-step explanation:

Remember the formula for a line is y=mx+b, where m is slope (slope = rise/run) and b is y-intercept (y-intercept is the point that crosses the y-axis)

Since the line on the graph crosses the y-axis at -3, that will be the y-intercept. Starting from that point, find another point. In this case you go upwards 2 units and to the right 1, so your slope will be 2/1 or just 2 .

Hope this helped :)

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Troyanec [42]
Area of the room =  14*15 = 210 ft^2
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6 0
3 years ago
Determine the equation of the line passing through the points (-1, 1) and (1, 7).
evablogger [386]

Answer:

3x + y = -4

Step-by-step explanation:

We were given to points on the line we are trying to find, hence we are able to determine the slope/gradient.

( - 1, \: 1) \: and \: (1, \: 7) \\ slope =  \frac{ {y}^{2}  -  {y}^{1} }{ {x}^{2} -  {x}^{1}  }  \\ \\ s =  \frac{7 - 1}{1 - ( - 1)}  \\ s =  \frac{6}{2}

Slope is equal to 3.

Since we have the value for the slope, we can now use one of the points on the line to determine the equation of the line.

<em>note</em><em> </em><em>that</em><em> </em><em>the</em><em> </em><em>coefficient</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>slope</em><em>.</em><em> </em><em>In</em><em> </em><em>this</em><em> </em><em>case</em><em> </em><em>the</em><em> </em><em>A</em><em> </em><em>from</em><em> </em><em>the</em><em> </em><em>standard</em><em> </em><em>form</em><em> </em><em>(</em><em>Ax</em><em> </em><em>+</em><em> </em><em>By</em><em>=</em><em> </em><em>C</em><em>)</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>slope</em><em>.</em>

\\ let \: us \: use \: the \: point \: ( - 1, \: 1) \\ a = 3 \: \:   \:  \: y = 1 \:  \:  \: x  =   - 1\\ ax + by = c \\ 3( - 1) + 1 = c \\  - 3 + 1 = c

- 2 = c \\ therefore \: the \: equation \: of \: the  \\ \: line \: is \\ ax + by = c \\ 3x + y =  - 4

8 0
3 years ago
Please help me with this question asap i’ll give you brainliest
mina [271]

Answer:

C

Step-by-step explanation:

Recall the exponent property that:

x^{\frac{1}{n}}=\sqrt[n]{x}

And vice versa:

\sqrt[n]{x}=x^{\frac{1}{n}}

Thus:

\sqrt[3]{500} =(500)^{\frac{1}{3}}

The answer is C

4 0
3 years ago
Read 2 more answers
What is the next item in the sequence below?<br><br> -324, 108, -36, 12,...
LenKa [72]
The answer is -4 because the number keeps getting divided by -3
5 0
4 years ago
WILL MARK BRAINLIEST!!! 40 POINTS!! ACTUAL ANSWERS, PLZZZ
steposvetlana [31]

Answer:

Part A:

\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807

Part B:

The closure property describes cases when mathematical operations are CLOSED. It means that if you apply certain mathematical operations in a polynomial it will still be a polynomial. Polynomials are closed for sum, subtraction, and multiplication.

It means:

\text{Sum of polynomials } \Rightarrow \text{ It will always be a polynomial}  

\text{Subtraction of polynomials } \Rightarrow \text{ It will always be a polynomial}  

\text{Multiplication of polynomials } \Rightarrow \text{ It will always be a polynomial}  

But when it is about division:

\text{Division of polynomials } \Rightarrow \text{ It will not always/sometimes be a polynomial}  

<u>Example of subtraction of polynomials:</u>

<u />(2x^2+2x+3) - (x^2+5x+2)<u />

<u />x^2-3x+1<u />

Step-by-step explanation:

<u>First, it is very important to define what is a polynomial in standard form: </u>

It is when the terms are ordered from the highest degree to the lowest degree.

Therefore I can give:

x^5-5x^4+3x^3-3x^2+7x+20

but,

x^5+3x^3-3x^2+7x+20-5x^4 is not in standard form.

For this question, I can simply give the answer: x^5-5x^4+3x^3-3x^2+7x+20 and it is correct.

But I will create a fifth-degree polynomial using this formula

$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$

Also, note that

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

For a=x \text{ and } b=7

$\left(x + 7\right)^{5}=\sum_{k=0}^{5} \binom{5}{k} \left(x\right)^{5-k} \left(7\right)^k$

\text{Solving for } k \text{ values: } 0, 1, 2, 3, 4 \text{ and } 5

Sorry but I will not type every step for each value of k

The first one is enough.

For k=0

$\binom{5}{0} \left(x\right)^{5-0} \left(7\right)^{0}=\frac{5!}{(5-0)! 0!}\left(x\right)^{5} \left(7\right)^{0}=\frac{5!}{5!} \cdot x^5= x^{5}$

Doing that for k values:

\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807

8 0
3 years ago
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