When 19346 is divided by a number,the quotient is 841 and the remainder is 3.What is the number?

Mathematics

1 answer:

vredina [299]3 years ago

8 0

Answer:

Step-by-step explanation:

19346 ÷ 841 = 23.003567.. ( that is 23 with a remainder ), then

23 × 841 = 19343, thus

19346 ÷ 841 = 23 remainder 3

The divisor is 23

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Write the equation of the function whose graph is shown. y = (x + )2 +

Deffense [45]

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$y= ax^{2}+bx+c$ , where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

$12= a(8)^{2}+b(8)+c$
$12=64a+8b+c$ ... Equation 1

$3=a(5)^{2}+b(5)+c$
$3=25a+5b+c$ ... Equation 2

Equation 1 - Equation 2 gives
$39a+3b=9$ , we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of $x$ is given by $x=- \frac{b}{2a}$
Substitute $x=5$
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Substitute Equation 4 into Equation 3
$39a+3b=9$
$39a+3(-10a)=9$
$39a-30a=9$
$9a=9$
$a=1$

Now we need to work out the value of $b$ and $c$

Substitute $a=1$ back into equation 4
$-10a=b$
$-10(1)=b$
$b=-10$

Substitute $a=1$ and $b=-10$ into either equation 1 or equation 2

$64a+8b+c=12$
$64(1)+8(-10)+c=12$
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$c=28$

Hence the equation of the quadratic curve is
$y= x^{2} 10x+28$

8 0

3 years ago

Read 2 more answers

A (non-zero) number multiplied by zero equals zero, whereas a non-zero number divided by zero is undefined.

9966 [12]

I believe that is true

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2 years ago

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