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2 years ago

7

Rewrite the quadratic funtion from standard form to vertex form. F(x)=2x^2-20x+26

1 answer:

Olegator [25]2 years ago

3 0

F(x)=2(x-5)^2-24 simple algebra

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Solve the equations by substitution method: A. 2x-y-3=0 and 3x+4y=65.

PSYCHO15rus [73]

Step-by-step explanation:

$\sf 2x-y-3=0\dots \dots (1)$

$\sf 3x+4y=65 \\ \implies\sf 3x+4y-65=0 \dots\dots(2)$

from eq (1)

${:}\longrightarrow$ $\sf 2x-y-3=0$

${:}\longrightarrow$ $\sf 2x-3=y$

${:}\longrightarrow$ $\sf y=2x-3 \dots\dots(3)$

Substitute the value in eq(2)

${:}\longrightarrow$ $\sf 3x+4y-65=0$

${:}\longrightarrow$ $\sf 3x +4 (2x-3)-65=0$

${:}\longrightarrow$ $\sf 3x+8x-12-65=0$

${:}\longrightarrow$ $\sf 11x-77=0$

${:}\longrightarrow$ $\sf 11x=77$

${:}\longrightarrow$ $\sf x={\dfrac {77}{11}}$

${:}\longrightarrow$ $\sf x=7$

Substitute the value in eq (3)

${:}\longrightarrow$ $\sf y=2x-3$

${:}\longrightarrow$ $\sf y=2 (7)-3$

${:}\longrightarrow$ $\sf y=14-3$

${:}\longrightarrow$ $\sf y=11$

$\therefore$ ${\underline{\boxed{\bf (x,y)=(7,11)}}}$

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2 years ago