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natima [27]
3 years ago
6

Last week Julia ran 30 miles more than Pranav.Julia ran 47 miles.How many miles did Pranav run?

Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0
17 miles as it is 47-30
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3 years ago
According to the rational root theorem what are all the potential rational roots of f(x)=9x^4-2x^2-3x+4
8_murik_8 [283]

Answer:

+/- 1, \frac{+-1}{+-3},\frac{+-1}{+-9},+-2,\frac{+-2}{+-3},\frac{+-2}{+-9},+-4,\frac{+-4}{+-3}, \frac{+-4}{+-9} ....

Step-by-step explanation:

The Rational root theorem states that If f(x) is a Polynomial with integer coefficients and if there exist a rational root of the form p/q then p is the factor of the constant term of the function and q is the factor of the  leading coefficient of the function

Given: f(x)= 9x^4-2x^2-3x+4

Factors of q (leading coefficient) are: +/-9, +/-3, +/-1

Factors of p (constant term) are: +/-4 , +/-2, +/- 1

According to the theorem we write the roots in p/q form:

Therefore,

p/q =+/- 1, \frac{+-1}{+-3},\frac{+-1}{+-9},+-2,\frac{+-2}{+-3},\frac{+-2}{+-9},+-4,\frac{+-4}{+-3}, \frac{+-4}{+-9} ....

7 0
3 years ago
Find the solution to the differential equation dx/dy+y/3=0 subject to the initial conditions y(0)=12.
ycow [4]
\dfrac{\mathrm dx}{\mathrm dy}+\dfrac y3=0\iff\mathrm dx=-\dfrac y3\,\mathrm dy
\implies\displaystyle\int\mathrm dx=-\frac13\int\mathrm y\,dy
\implies x=-\dfrac16y^2+C

Given that y(0)=12, we have

0=-\dfrac16(12)^2+C\implies C=24

So the particular solution to the initial value problem is

x=-\dfrac16y^2+24\iff y^2=144-6x
8 0
3 years ago
Please help me. Last question of the day maybe
kolbaska11 [484]
Distance is 10 units.

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3 years ago
Three tickets to a concert cost $54. How much do 7 tickets cost? A. $58 B. $72 C. $108 D. $126
Ksju [112]
The answer is D $126,if three cost $54 that means one costs $18 and just multiply it with seven
7 0
3 years ago
Read 2 more answers
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