Solution: (3x + 4y - 3z) x (3x + 4y + 3z)
You can graph that by looking at the y-intercept first. That's where you start to put a point in the coordinate plane or graph.
So go down 1 below 0.
Next, look at the slope.
We know that y = -2x - 1 is in slope intercept form (y = mx+b)
So -2 is our slope. It will be -2/1 because we need a fraction to graph the rise over run and all whole numbers can be a fraction by making 1 as their denominator.
Look at the attachment.
Starting from -1 (y-intercept), go down 2 (-2) then right 1 (1).
To complete the line above, keep the same value and reverse their sign/symbol. So -2/1 will be 2/-1. It goes up 2 then left 1.
I hope you understand and find this answer the most helpful! :)
Answer:
A. -44 4/9
Step-by-step explanation:
-9 is the answer hope this helps.
The answer: " x = ⅓ " .
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Given: " 3x − 2 (x + 3) = 4x −<span> 7 " ; Solve for "x" ;
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Start with the following term on the "left-hand side" of the equation:
" - 2 (x + 3) " ;
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Note the "distributive property of multiplication" :
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a(b + c) = ab + ac ;
a(b </span>− c) = ab <span>− ac ;
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As such,
" -2 (x + 3) = -2(x) + -2(3) = -2x + (-6) = -2x </span>− 6 ;
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So, we can rewrite our equation:
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" 3x − 2 (x + 3) = 4x − 7 " ; substituting: " -2x − 6" (for " −2 (x + 3)" ; as follows:
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3x − 2x − 6 = 4x − 7 ;
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On the left-hand side off the equation;
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We can combine the "like terms" ; as follows:
3x − 2x = 1x = x ; and rewrite the equation:
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x − 6 = 4x − 7 ;
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We can subtract "4x" from each side of the equation; and add "6" to each side of the equation:
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x − 6 − 4x + 6 = 4x − 7 − 4x + 6 ;
to get: -3x = -1 ;
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Now, we divide EACH SIDE of the equation by "-3" ; to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;
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-3x / 3 = -1/-3 ;
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to get: x = <span>⅓ .
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</span> → Now, let us check our answer by plugging in "<span>⅓" for all values of "x" in the ORIGINAL GIVEN EQUATION; to see if the equation holds true:
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</span> → 3x − 2 (x + 3) = 4x −<span> 7 ;
</span>→ [3 * (⅓) ] − 2 [ (⅓) + 3) = ? 4(⅓) − 7 ?? ;
<span>
</span>→ (1) − 2(3 ⅓) =? (⁴/₃) − 7 ?? ;
<span>
</span>→ (1) − 2(3 ⅓) =? (⁴/₃) − 7 ?? ;<span>
</span>→ (³/₃) − 2(¹⁰/₃) =? (⁴/₃) − (²¹/₃) ?? ;
→ (³/₃) − (²⁰/₃) =? (⁴/₃) − (²¹/₃) ?? ;
→ ⁽³ ⁻²⁰⁾/₃) =? ⁽⁴⁻²¹⁾/₃) ??
→ ⁻¹⁷/₃ = ? ⁻¹⁷/₃ ?? Yes! Our answer "makes sense"!
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