Solve the inequality. 2 divided by 5 is greater than or equal to x minus the quantity 4 divided by 5 end of quantity.

Use the quadratic formula to solve x2 + 9x + 10 = 0.<br> What are the solutions to the equation?

vampirchik [111]

Answer:

$\large\boxed{x=\dfrac{-9\pm\sqrt{41}}{2}}$

Step-by-step explanation:

$\text{The quadratic formula of}$

$ax^2+bx+c=0$

$\text{If}\ b^2-4a0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\=========================================$

$\text{We have}\ x^2+9x+10=0\\\\a=1,\ b=9,\ c=10\\\\\text{substitute:}\\\\b^2-4ac=9^2-4(1)(10)=81-40=41>0\qquad _{\text{two solutions}}\\\\\sqrt{b^2-4ac}=\sqrt{41}\\\\x=\dfrac{-9\pm\sqrt{41}}{2(1)}=\dfrac{-9\pm\sqrt{41}}{2}$

5 0

2 years ago

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An ancient Sicilian legend says that the barber in a remote town who can be reached only by traveling a dangerous mountain road

faust18 [17]

Answer:

No there cannot be.

Step-by-step explanation:

In explaining this question, I would like us to take into account who the barber is,

" the barber is the one who shaves all those, and those only, who do not shave themselves".

This barber cannot be in existence because who would shave him? If he should shave himself then there is a violation of the rule which says he shaves only those who do not shave themselves. If he shaves himself then he ceases to be a barber. And if he does not shave himself then he happens to be under those who must be shaved by the barber, because of what the rule says. But then he is the barber.

This lead us to a contradiction.

Neither is possible so there is no such barber.

4 0

3 years ago

39 is what percent of 156

Romashka-Z-Leto [24]

39 is 25% of 156.
Work: 156 x 0.25 = 39 which means that 25% of 156 is 39.

Hope this helps and please mark as brainliest!

8 0

2 years ago

20.24 scientific notation

Darya [45]

20.24=2.024 x 10

Answer: 2.024 x 10

7 0

2 years ago

Veronica spent a minimum of $65 on a doll and accessories for the doll. The doll cost $26 and the accessories cost $13 each. Wri

ANEK [815]

Answer: $13x+26 \ge 65$

If you solve for x, you get $x \ge 3$ which means she bought at least 3 accessories.

=========================================================

Explanation:

x = number of accessories, some nonnegative whole number

13x = amount spent on accessories only

For instance, let's say she bought 5 accessories. This means she spent 13x = 13*5 = 60 dollars on those five items.

This is on top of the $26 Veronica paid for the doll itself (without the accessories). In total, she spent 13x+26 dollars for the doll (26) and the accessories (13x) combined.

We're told she spent a minimum of $65, which means that she spent 65 or more dollars.

So the total cost (13x+26) must be equal to 65 or larger than 65.

We write that as $13x+26 \ge 65$ which sets up the inequality.

----------------------------

Let's solve for x

$13x+26 \ge 65\\\\13x \ge 65-26\\\\13x \ge 39\\\\x \ge 39/13\\\\x \ge 3\\\\$

So x can be equal to 3, or larger than it.

The lowest value x can be is 3.

Meaning that she bought at least 3 accessories (ie she bought 3 or more accessories).

3 0

3 years ago

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