3 years ago

A number c divided by 9 is less than or equal to -23 .

Mathematics

1 answer:

aleksklad [387]3 years ago

3 0

Answer:

c $\leq$ -207

Step-by-step explanation:

Create an inequality and solve for c:

$\frac{c}{9}$ $\leq$ -23

Multiply by 9 on each side:

c $\leq$ -207 is the answer

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What two numbers multiply to 10 and add to -29 ?

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Xy=10
x+y=29

subtract x from both sides for second equation

y=-x-29
subsitute in second equaiton
x(-x-29)=10
-x^2-29x=10
add x^2+29x to both sides
x^2+29x+10=0
quadratic formula
if you have
ax^2+bx+c=0,
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

so
x^2+29x+10=0
a=1
b=29
c=10
x= $\frac{-29+/- \sqrt{(-29)^{2}-4(1)(10)} }{2(1)}$
x= $\frac{-29+/- \sqrt{841-40} }{2}$
x= $\frac{-29+/- \sqrt{801} }{2}$
x= $\frac{-29+/- 3\sqrt{89} }{2}$

x= $\frac{-29- 3\sqrt{89} }{2}$ or $\frac{-29+ 3\sqrt{89} }{2}$
those are the 2 numbers
aprox=-28.65 and -0.349

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