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vredina [299]
3 years ago
15

Thursday afternoon 80 kids visited the library. Of those students 60 checked out a book before they left. What percentage of the

students who visited the library checked out a book?
Mathematics
1 answer:
Fittoniya [83]3 years ago
3 0

Answer48

Step-by-step explanation:

80 times 60 equals 4800 divided by 100 equals 48

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Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two
Tom [10]

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is \frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, 3x + 27x^2=2 and we solve for x

3x+27x^2-2=2-2\\27x^2+3x-2=0\\\left(27x^2-6x\right)+\left(9x-2\right)\\3x\left(9x-2\right)+\left(9x-2\right)\\\left(9x-2\right)\left(3x+1\right)=0

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

9x-2=0\\9x=2\\x=\frac{2}{9}

3x+1=0\\3x=-1\\x=-\frac{1}{3}

The solutions are:

x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is

\frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

We can check our work with the graph of the two polynomials.

4 0
4 years ago
Write is the formula for the discriminant?
Svetlanka [38]

Answer:

The number D = b2 – 4ac determined from the coefficients of the equation ax2 + bx + c = 0. The discriminant reveals what type of roots the equation has. Note: b2 – 4ac comes from the quadratic formula.

Hope this helps please mark me as brainliest

5 0
3 years ago
Read 2 more answers
In applications, we consider any event that has below 5% chance. Pick a card from a standard deck of 52 cards. A=The card is an
9966 [12]

Answer:

Step-by-step explanation:

P(A) = 4/52 = 0.07692 which is bigger than 5%

5% = 0.05

0.07 is above 5% which is surprising.

The P(Spade A) = 1/52 = 0.01923 which is under 2% which meets your criteria.

8 0
3 years ago
11/15% of a quantity is equal to what fraction of the​ quantity?
Contact [7]

Percent means “out of 100.” So 5% really means 5/100.

11 / 15% = 11 / (15/100) = 1100 / 15 = 220 / 3. That’s the answer.

5 0
3 years ago
SMART PEOPLES HELP ME ASAP
inysia [295]

Answer:

35 degrees

Step-by-step explanation:

The angle is given to be a right angle by the red square. The right angle is intercepted by a line. One side of the whole 90 degree angle is said to be 55 degrees. Both sides should equal 90 degrees if added.

This means that to find the missing angle, you would subtract 55 degrees from 90 degrees to get 25 degrees.

3 0
3 years ago
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