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Sladkaya [172]
3 years ago
11

help me with the Quadratic equation.... x2+ (p - 5) x + 2q = 0 has the roots −3 and 6. Find the value of P and the value of q.​

Mathematics
1 answer:
nirvana33 [79]3 years ago
8 0

Step-by-step explanation:

The quadratic equation is x² + (p - 5)x + 2q = 0.

By Vieta's Formula,

we have SOR = -b/a and POR = c/a.

=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.

=> 3 = 5 - p and -18 = 2q

Hence, p = 2 and q = -9.

Alternate Method:

We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.

=> (x + 3)(x - 6) = x² - 3x - 18.

By Comparing Coefficients,

(p - 5) = -3 and 2q = 18.

Hence p = 2 and q = -9.

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Write the equation of a square root function that has the following graph.
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Answer:

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To translate the graph of f(x) by h units horizontally and k units vertically, the function is transformed to ...

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Let Upper A equals left bracket Start 2 By 2 Matrix 1st Row 1st Column negative 2 2nd Column 4 2nd Row 1st Column 1 2nd Column 3
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Answer:

not

Step-by-step explanation:

\left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] *\left[\begin{array}{ccc}-2&1\\3&7\end{array}\right]=

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Let's find A*B

\left[\begin{array}{ccc}-2(-2)+4*3&-2*1+4*7\\1(-2)+3*3&1*1+3*7\end{array}\right] =\left[\begin{array}{ccc}16&26\\7&22\end{array}\right]

b)

\left[\begin{array}{ccc}-2&1\\3&7\end{array}\right]  \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] =

Now let's find B*A

\left[\begin{array}{ccc}-2(-2)+1*1&-2*4+1*3\\3(-2)+7*1&3*4+7*3\end{array}\right] =\left[\begin{array}{ccc}5&-5\\1&23\end{array}\right]

c) They are not

7 0
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How many numbers between 50 and 500 are divisible by 7?​
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Step-by-step explanation:

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2. Seiji and Gavin both worked hard over the summer. Together they earned a total of $425. Gavin earned $25 more than Seiji. (a)
Alja [10]
Let Gavin be G
Let Seiji be S

G + S = 425
G = 25 + S


I can't really graph, but plug in some numbers to G and S that works in BOTH equations. Then graph it.

G + S = 425
G = 25 + S

(25 + S) + S = 425
2S + 25 = 425
2S + 25 (-25) = 425 (-25)
2S = 400
2S/2 = 400/2
S = 200

Seiji made 200 dollars

Now choose one of the equations to use (the easier the better) in this case i will choose this one:

G = 25 + S

pug in 200 into S (because that is how much Seiji made)

G = 25 + (200)
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Seiji made 200, Gavin made 225

200 + 225 = 425, which is the total amount the made

hope this helps
7 0
3 years ago
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