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snow_lady [41]
2 years ago
11

Which is a correct first step for solving this equation? −3x+2−5x−7=4x+2

Mathematics
1 answer:
In-s [12.5K]2 years ago
3 0

Answer: x = - 7/12

Step-by-step explanation:

-3x + 2 - 5x - 7 = 4x + 2

=> -8x - 5 = 4x + 2

=> -12x = 7

=> x = - 7/12

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-3/2

Step-by-step explanation:

Slope is defined as \frac{rise}{run},

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The line goes over 4, making the run: 4

So -6/4 or -3/2

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3 years ago
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Tell whether -2 is a solution of the intequality. 8-2x<12
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add 8 to 2 and then multiply the 8 with 12.

Step-by-step explanation:

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Graph the line -1 passing through the point (-4,5)​
Dennis_Churaev [7]

Answer:

Step-by-step explanation:

If you want to find the equation of line with a given a slope of which goes through the point (-4,5), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---

where is the slope, and is the given point

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Distribute  

Multiply and to get

Add -1 to both sides to isolate y

Combine like terms and to get the answer

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which is now in y=mx = b form where the slope is m=-4/5  and the y-intercept is b=1

6 0
2 years ago
The vertex of this parabola is at (2,-1) when the y value is 0 and then x value is 5 what is the coefficient of the squared term
Darina [25.2K]

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{2}{ h},\stackrel{-1}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=2\\ k=-1 \end{cases}\implies y=a(x-2)^2-1 \\\\\\ \textit{we also know that } \begin{cases} y=0\\ x=5 \end{cases}\implies 0=a(5-2)^2-1\implies 1=9a \\\\\\ \cfrac{1}{9}=a\qquad therefore\qquad \boxed{y=\cfrac{1}{9}(x-2)^2-1}


now, let's expand the squared term to get the standard form of the quadratic.


\bf y=\cfrac{1}{9}(x-2)^2-1\implies y=\cfrac{1}{9}(x^2-4x+4)-1 \\\\\\ y=\cfrac{1}{9}x^2-\cfrac{4}{9}x+\cfrac{4}{9}-1\implies \stackrel{its~coefficient}{y=\stackrel{\downarrow }{\cfrac{1}{9}}x^2-\cfrac{4}{9}x-\cfrac{5}{9}}

4 0
3 years ago
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