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3 years ago

9

What is the answer for this question? 6x^2 - 35x + 49 ( factorising quadratics btw)

1 answer:

tino4ka555 [31]3 years ago

5 0

Answer:

x=7/2 x=7/3

Step-by-step explanation:

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Write in the form p(x+q)²+r<br><br><br>2x²-5x+1

Eva8 [605]

$\text{Let}\ f(x)=ax^2+bx+c,\ \text{then}\ f(x)=a(x-p)^2+k,\ \text{where}\\\\h=\dfrac{-b}{2a},\ k=f(h)\\\\-----------------\\\\\text{We have}\ f(x)=2x^2-5x+1\to a=2,\ b=-5,\ c=1.\\\\\text{Substitute:}\\\\h=\dfrac{-(-5)}{2(2)}=\dfrac{5}{4}\\\\k=f\left(\dfrac{5}{4}\right)=2\left(\dfrac{5}{4}\right)^2-5\left(\dfrac{5}{4}\right)+1=2\left(\dfrac{25}{16}\right)-\dfrac{25}{4}+1\\\\=\dfrac{25}{8}-\dfrac{25\cdot2}{4\cdot2}+\dfrac{8}{8}=\dfrac{25-50+8}{8}=-\dfrac{17}{8}\\\\\text{Therefore we have}$

$f(x)=2\left(x-\dfrac{5}{4}\right)-\dfrac{17}{8}=\boxed{2\left(x+\left(-\dfrac{5}{4}\right)\right)^2+\left(-\dfrac{17}{8}\right)}$

$q=-\dfrac{5}{4},\ k=-\dfrac{17}{8}$

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3 years ago

Wendy stops running<br> A.Speed<br> B.Velocity <br> C.Acceleration

DedPeter [7]

Answer:

i think is c tell me if im right

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3 years ago

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write an equation for each line. line passes through (0,7) with m=3, line passes through (1,8) with m=3, line passes through (2,

melamori03 [73]

1. y = 3x + 7
2. y = 3x + 5
3. y = -2x + 8

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3 years ago

Estimate then find the sum. 72,931 + 18,563=

son4ous [18]

73,000+19,000=92,000

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3 years ago

Solve for b:<br><br> 6b+14 = -7-b

vladimir2022 [97]

Answer:

b = -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6b+14=−7−b

6b+14=−7+−b

6b+14=−b−7

Step 2: Add b to both sides.

6b+14+b=−b−7+b

7b+14=−7

Step 3: Subtract 14 from both sides.

7b+14−14=−7−14

7b=−21

Step 4: Divide both sides by 7.

$\frac{7b}{7} = \frac{-21}{7}$

b= -3

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3 years ago

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