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3 years ago

Question 14 Math Help please

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

4 0

ANSWER

(1,0) is a solution

EXPLANATION

The given inequality is

$y \leqslant |x + 2|- 3$

We substitute the point to see which ones satisfy the inequality.

For (1,0)

$0\leqslant|1+ 2|- 3$

$0\leqslant 0$

This is true.

(1,0) is a solution.

For (-1-1)

$- 1\leqslant | - 1 + 2|-3$

$- 1\leqslant-2$

False

(-1,-1) is not a solution.

For (0,0)

$0\leqslant|0+2|-3$

$0\leqslant- 1$

False.

For (0,1)

$1\leqslant|0+ 2|-3$

$1\leqslant-1$

This is also false

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Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total t

-Dominant- [34]

Let

x--------> the number of children

y------> the number of teenagers

z------> the number of adults

we know that

$2x+3y+5z=1,950$ ------> equation A

$x+y+z=570$ -----> equation B

$y=\frac{3}{4}x$

$x=\frac{4}{3}y$ -------> equation C

Substitute equation C in equation A and equation B

$2[\frac{4}{3}y]+3y+5z=1,950$

$\frac{17}{3}y+5z=1,950$ --------> equation D

$[\frac{4}{3}y]+y+z=570$

$\frac{7}{3}y+z=570$ --------> equation E

Multiply equation E by $-5$

$-\frac{35}{3}y-5z=-2,850$ --------> equation F

Adds equation D and equation F

$\frac{17}{3}y+5z=1,950\\\\-\frac{35}{3}y-5z=-2,850\\\\---------\\\\-\frac{18}{3}y=-900\\\\y=3*900/18\\\\y=150\ teenagers$

therefore

<u>the answer is the option</u>

$150\ teenagers$

4 0

3 years ago

Read 2 more answers

Please help!!!!!!!!!

Natali [406]

Answer: $432

Step-by-step explanation: If he marks up the price by 80% then you multiply the price (240) times 0.8, which is 192. That is how much he marks it up -- $192. SO then you add how much he marks it up to the original price of $242 which is $432.

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3 years ago

40 pts PLEASE HELP ILL GIVE BRAINLIESTS <br> A. -3 <br> B. -1/3<br> C. 1/3<br> D. 3

Licemer1 [7]

<h3>A is the answer EEEE</h3>

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3 years ago

What is the solution to -x2 + 5x - 3

CaHeK987 [17]

The solution to the equation is $x=\frac{5-\sqrt{13}}{2}$ and $x=\frac{5+\sqrt{13}}{2}$

Explanation:

Given that the equation is $-x^2+5x-3=0$

We need to determine the solution of the equation.

The solution of the equation can be determined using the quadratic formula.

The quadratic formula is given by

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Hence, from the equation, we have,

$a=-1,\:b=5,\:c=-3$

Substituting these values in the quadratic formula, we get,

$x=\frac{-5\pm \sqrt{5^2-4\left(-1\right)\left(-3\right)}}{2\left(-1\right)}$

Simplifying, we get,

$x=\frac{-5\pm \sqrt{25-12}}{-2}$

Simplifying the terms within the root, we get,

$x=\frac{-5\pm \sqrt{13}}{-2}$

Thus, the roots of the equation are $x=\frac{-5+ \sqrt{13}}{-2}$ and $x=\frac{-5- \sqrt{13}}{-2}$

Taking out the negative sign, we get,

$x=\frac{-(5- \sqrt{13})}{-2}$ and $x=\frac{-(5+ \sqrt{13})}{-2}$

Cancelling the negative sign, we get,

$x=\frac{5-\sqrt{13}}{2}$ and $x=\frac{5+\sqrt{13}}{2}$

Thus, the solutions of the equation are $x=\frac{5-\sqrt{13}}{2}$ and $x=\frac{5+\sqrt{13}}{2}$

7 0

4 years ago

Approximately 80% of households in the United States have computers. Of those 80%, 90% have Internet access. Find the probabilit

Leni [432]

The probability that a U.S. household selected at random has a computer and has Internet access will be 0.72. The C and I are independent events. Then the correct option is B.

<h3>What is probability?</h3>

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Approximately 80% of households in the United States have computers. Of those 80%, 90% have Internet access.

Then the probability that a U.S. household selected at random has a computer and has Internet access will be

P(C and I) = 0.80 × 0.90

P(C and I) = 0.72

Then the C and I are independent events.

Then the correct option is B.

More about the probability link is given below.

brainly.com/question/795909

#SPJ1

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2 years ago