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2 years ago

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Part A: The line of best fit for this data is y = 5.3x + 23 . Use this equation to make a conjecture about the temperature of th

e water in the beaker if heated for 6 minutes. Explain your thinking.

1 answer:

Luda [366]2 years ago

3 0

Can you help me with something

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How would the expression x^3+64 be written using sum of cubes

Hunter-Best [27]

$\bf \textit{difference and sum of cubes}
\\\\
a^3+b^3 = (a+b)(a^2-ab+b^2)
\\\\
a^3-b^3 = (a-b)(a^2+ab+b^2)\\\\
-------------------------------\\\\
\boxed{64=4^3}\qquad \qquad x^3+64\implies x^3+4^3\implies (x+4)(x^2-4x+16)$

4 0

2 years ago

Read 2 more answers

Pls help I really need help how do you reduce 7/2

tatuchka [14]

The answer is 3.5

steps

7 divided by 2

7 go in to 2 3 times which equals 6

then put a decimal then put a 0 then 2 go in to 10 5 times

then the answer is 3.5

5 0

3 years ago

Use the discriminant to determine what type of roots the equations will have, and categorize the equations according to their ro

topjm [15]

Step-by-step explanation:

The discriminant of the quadratic equation $ax^2+bx+c=0$ :

$\Delta=b^2-4ac$

If Δ < 0, then the equation has two complex roots $x=\dfrac{-b\pm\sqrt\Delta}{2a}$

If Δ = 0, then the equation has one repeated root $x=\dfrac{-b}{2a}[/tex If Δ > 0, then the equation has two discint roots [tex]x=\dfrac{-b\pm\sqrt\Delta}{2a}$

$1.\ x^2-4x+2=0\\\\a=1,\ b=-4,\ c=2\\\\\Delta=(-4)^2-4(1)(2)=16-8=8>0,\ \bold{two\ distinct\ roots}\\\sqrt\Delta=\sqrt8=\sqrt{4\cdot2}=2\sqrt2\\\\x=\dfrac{-(-4)\pm2\sqrt2}{2(1)}=\dfrac{4\pm2\sqrt2}{2}=2\pm\sqrt2\\\\==============================\\\\2.\ 5x^2-2x+3=0\\\\a=5,\ b=-2,\ c=3\\\\\Delta=(-2)^2-4(5)(3)=4-60=-56$

$3.\ 2x^2+x-6=0\\\\a=2,\ b=1,\ c=-6\\\\\Delta=1^2-4(2)(-6)=1+48=49>0,\ \bold{two\ distinct\ roots}\\\sqrt\Delta=\sqrt{49}=7\\\\x=\dfrac{-1\pm7}{(2)(2)}\\\\x_1=\dfrac{-8}{4}=-2,\ x_2=\dfrac{6}{4}=\dfrac{3}{2}\\\\==============================\\\\4.\ 13x^2-4=0\qquad\text{add 4 to both sides}\\\\13x^2=4\qquad\text{divide both sides by 13}\\\\x^2=\dfrac{4}{13}\to x=\pm\sqrt{\dfrac{4}{13}},\ \bold{two\ distinct\ roots}\\\\==============================$

$5.\ x^2-6x+16=0\\\\a=1,\ b=-6,\ c=16\\\\\Delta=(-6)^2-4(1)(16)=36-64=-28$

$7.\ 4x^2+11=0\qquad\text{subtract 11 from both sides}\\\\4x^2=-11\qquad\text{divide both sides by 4}\\\\x^2=-\dfrac{11}{4}\to x=\pm\sqrt{-\dfrac{11}{4}}\\\\x=\pm\dfrac{\sqrt{11}}{2}\ i,\ \bold{two\ complex\ roots}$

6 0

2 years ago

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4.0 divided by 0.02=

elena-14-01-66 [18.8K]

Answer:

200

Step-by-step explanation:

4 0

2 years ago

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A shipper bought the following item at the farmer market

S_A_V [24]

Answer: What Item

Step-by-step explanation: And In What Quantity

6 0

2 years ago