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ella [17]
2 years ago
10

How do you solve -4 + y = 6 and y= 7x - -6 by substitution?

Mathematics
2 answers:
chubhunter [2.5K]2 years ago
8 0

Answer:

x=4/7 and y=10

Step-by-step explanation:

To solve for x, we must isolate y in one of the equations to then insert it into the other equation. We can take the first equation, -4 + y = 6, and add 4 to both sides. This gives us y = 4+6, or y = 10. Since y is a variable, we can subsititute 10 into the second equation, y = 7x - (-6), giving us 10 = 7x - (-6). The minus negative six is equal to plus six. This gives us 10 = 7x +6. Now we can solve for x. Subtract 6 from both sides; 4 = 7x. Now to find x, we have to divide both sides by 7. This gives us x = 4/7.

Natali5045456 [20]2 years ago
4 0

Answer:

by doing the math

Step-by-step explanation:

do (7x)-(-6) then the other problem and find out witch one is more

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I need help with these questions for Working with Standard and Vertex Forms of the Quadratic Function, the first image is the in
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9514 1404 393

Answer:

  3 (7e)  f(x) = -3(x +2)^2 +1; D: (-∞, ∞); R: (-∞, 1]

  4 (8)  g(x) = 4(x -3)^2 -5; x = 3; (3, -5); min: -5; D: (-∞, ∞); R: [-5, ∞)

  5 (10)  A(175) = 31,250 m^2

Step-by-step explanation:

Q3. (7e) f(x) = -3x^2 -12x -11 = -3(x^2 +4x) -11 = -3(x^2 +4x +4) -11 +3(4)

  f(x) = -3(x +2)^2 +1

Domain: all real numbers; Range: y ≤ 1

Expanded: -3(x^2 +4x +4) +1 = -3x^2 -12x -11

__

Q4. (8a) g(x) = 4(x^2 -6x) +31 = 4(x^2 -6x +9) +31 -4(9)

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8b) x = 3 . . . axis of symmetry

8c) (3, -5) . . . coordinates of vertex

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8g) see attached

__

Q5. (10) A(x) = 700x -2x^2 = -2(x^2 -350x +30625) +2(30625)

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The maximum area that can be enclosed is 31,250 square meters.

_____

<em>Additional comment</em>

The process of "completing the square" can be done using the following steps. (a) Factor out the leading coefficient from the variable terms; (b) determine the linear term coefficient inside parentheses, and add the square of half of it inside parentheses; (c) add the opposite of the same quantity outside parentheses (make sure the leading coefficient is properly factored in; (d) rewrite the parentheses as a square, and collect terms outside parentheses. In the final form a(x -h)^2 +k, the vertex is (h, k).

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Read 2 more answers
Solve T=L(7 + RS) for S.<br> Please help
nikklg [1K]

multiply the ones in bracket by the L

T = 7× L + L × RS

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making S the subject by transferring 7L to the left hand side of the equation.

thus

T - 7L = LRS

dividing through by LR

\frac{T}{LR}  -  \frac{7L}{LR}  = S

S=  \frac{T}{LR}  -  \frac{7}{R}

7 0
3 years ago
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