3 years ago

Tammy wants to burn a total of 300 calories. So far, she has burned 289.3 calories. How many more calories must Tammy burn?

Mathematics

2 answers:

Eduardwww [97]3 years ago

4 0

Answer:

10.7

Step-by-step explanation:

300 - 289.3 = 10.7 calories.

Sav [38]3 years ago

3 0

Answer:10.70

Step by step explanation

300-289.3=10.70

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3 years ago

Use the Quadratic Formula to solve the equation 4x^2−7=4x.

tino4ka555 [31]

Answer:

$\large\boxed{x=\dfrac{1}{2}-\sqrt2\ or\ x=\dfrac{1}{2}+\sqrt2}$

Step-by-step explanation:

$\text{The quadratic formula of}\ ax^2+bx+c=0:\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\text{We have:}\\\\4x^2-7=4x\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\4x^2-4x-7=0\\\\a=4,\ b=-4,\ c=-7\\\\b^2-4ac=(-4)^2-4(4)(-7)=16+112=128\\\\\sqrt{b^2-4ac}=\sqrt{128}=\sqrt{64\cdot2}=\sqrt{64}\cdot\sqrt2=8\sqrt2\\\\x=\dfrac{-(-4)\pm8\sqrt2}{(2)(4)}=\dfrac{4\pm8\sqrt2}{8}\qquad\text{simplify by 4}\\\\x=\dfrac{1\pm2\sqrt2}{2}\to x=\dfrac{1}{2}\pm\sqrt2$