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3 years ago

Madison has test scores of 93, 82, 86, and 75. What is the mean? answer as fast a possible

Mathematics

1 answer:

rusak2 [61]3 years ago

6 0

Answer:

Mean is 84

Step-by-step explanation:

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If x=2/3 and x=-3 are the roots of the equation ax^2+7x+b=0 find the values of a and b

Gnesinka [82]

<u>ANSWER: </u>

If x = $\frac{2}{3}$ and x = -3 are the roots of the equation, then values of a and b are 3, -6

<u>SOLUTION: </u>

Given, quadratic equation is $a x^{2}+7 x+b=0$ and its roots are -3 , $\frac{2}{3}$

We know that, for any quadratic equation of form $a x^{2}+b x+c=0$ with roots $x_{1} and x_{2}$ then,

Sum of roots $(x_{1} +x_{2})$ = $\frac{-b}{a}$

Product of roots ( $x_{1} \times x_{2})$ = $\frac{c}{a}$

Now, for given quadratic equation $x_{1}$ = -3 and $x_{2}$ = $\frac{2}{3}$

hence Sum of roots = $\frac{-7}{a}$

$x_{1} + x_{2} = \frac{-7}{a}$

$-3 + \frac{2}{3} = \frac{-7}{a}$

on solving we get "a" = 3

Now product of roots = $x_{1} \times x_{2} = \frac{b}{3}$

$-3 \times \frac{2}{3} = \frac{b}{3}$

b = -6

hence, the values of a and b are 3, -6.

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3 years ago

Which graph matches the equation 3x -4y= 4

zloy xaker [14]

There is no graph to choose from, but the one you are looking for should look like the attached photo.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

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3 years ago

Due right now- I will give you brainlyest

blagie [28]

Answer:

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3 years ago

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3 years ago

Please help me with this math question

scZoUnD [109]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\to d=\dfrac{4}{3}e\\\\\text{Substitute it and}\ f=2e\ \text{to the ratio}\ d:e:f:\\\\\dfrac{4}{3}e:e:2e\qquad\text{cancel}\ e\\\\\dfrac{4}{3}:1:2\qquad\text{multiply by 3}\\\\\huge\boxed{4:3:6}$

$\bold{METHOD\ 2}\\\\6d=8e\qquad\text{divide both sides by 6}\\\\d=\dfrac{8}{6}e\qquad\text{divide both sides by}\ e\neq0\\\\\dfrac{d}{e}=\dfrac{4}{3}\to d:e=4:3\\\\2e=f\qquad\text{divide both sides by 2}\\\\e=\dfrac{f}{2}\to e=\dfrac{1}{2}f\qquad\text{divide both sides by}\ f\neq0\\\\\dfrac{e}{f}=\dfrac{1}{2}\to e:f=1:2\\\\\text{We have}\ d:e=4:3\ \text{and}\ e:f=1:2.$

$\text{We know}\ \dfrac{1}{2}=\dfrac{1\cdot3}{2\cdot3}=\dfrac{3}{6}\\\\\text{threfore}\ e:f=3:6\\\\\text{Now we have}\\\\\left\begin{array}{ccc}d:e=4:3\\e:f=3:6\end{array}\right\}\large{\boxed{d:e:f=4:3:6}}$

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3 years ago