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3 years ago

Solve the radical equation, if possible.

Mathematics

1 answer:

zmey [24]3 years ago

5 0

Answer: C

Step-by-step explanation:

3x-3 ≥ 0 ==> x ≥ 1

3x+6 ≥ 0 ==> x ≥ -2

So: condition x ≥ 1

$\sqrt{3x-3} +1=\sqrt{3x+6} \\\\\sqrt{3x+6} -\sqrt{3x-3} =1 \ squaring\\\\3x+6+3x-3-2\sqrt{(3x+6)(3x-3)} =1\\\\6x+2=2\sqrt{(3x+6)(3x-3)}\\\\\sqrt{(3x+6)(3x-3)}=3x+1\ squaring \\\\(3x+6)(3x-3)=(3x+1)^2\\\\9x^2+18x-9x-18=9x^2+6x-1\\\\3x=19\\\\x=\dfrac{19}{3} \\\\sol=\{\dfrac{19}{3}\}\\\\Answer\ C\\$

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G(x)=3x^2+6x−9<br><br> I need the vertex for this please

aleksley [76]

Answer:

-1, -12

Step-by-step explanation:

you take b which is 6 and make it negative, then you take a and multiply it by 2, which is 6. you then take the 2 numbers and put the -b over 2a in this formula -b/2a giving you -1 as your x value

after you do that, you input the -1 into the equation as x and the value you get out of that (-12) is the y value of the vertex

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3 years ago

The authors of a paper presented detailed case studies to medical students and to faculty at medical schools. Each participant w

stealth61 [152]

Answer:

0.623

Step-by-step explanation:

We have to find the probability that a diagnosis is correct given that confidence in the correctness of diagnosis is high i.e.P(C/H)=?

Using Bayes' theorem the probability can be computed as

$P(C/H)=\frac{P(C)P(H/C)}{P(C)P(H/C)+P(I)P(H/I)}$

We are given that

P(C) = 0.262 , P(H/C) = 0.344 , P(I) = 0.738 and P(H/I) = 0.074.

So,

$P(C/H)=\frac{0.262(0.344)}{0.262(0.344)+0.738(0.074)}$

$P(C/H)=\frac{0.0901}{0.0901+0.0546}$

$P(C/H)=\frac{0.0901}{0.1447}$

$P(C/H)=0.6227$

P(C/H)=0.623 (rounded to three decimal places).

Thus, the probability that a diagnosis is correct given that confidence in the correctness of diagnosis is high is 0.623.

3 0

3 years ago

Keith received a gift card of $90 for a pizza restaurant. The restaurant charges $15 per pizza. Mary received a gift card of $11

stepan [7]

Answer:

a)Amount of money left on Keith's card in dollars = $90 - $15x

= $(90 - 15)

b) Amount of money left on Mary's card in dollars= $110 - $20x

= $(110 - 20x)

c) Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

$90 - 15x = $110 - 20x

Step-by-step explanation:

Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.

For Keith

Keith received a gift card of $90 for a pizza restaurant. The restaurant charges $15 per pizza.

x numbers of pizza costs = $15x

Hence, the amount of money left on Keith's card after purchasing x pizzas =

$90 - $15x

For Mary,

Mary received a gift card of $110 for a different pizza restaurant. The restaurant charges $20 per pizza.

Hence, x number of pizzas cost =$20 × x

= $20x

Therefore, the amount of money left on Mary's card after she buys x pizzas =

$110 - $20x

Amount of money left on Keith's card in dollars = __________

Amount of money left on Mary's card in dollars=____________

Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

To find the equation that shows that the two cards have the same amount of money =

Equation 1 = Equation 2

$90 - 15x = $110 - 20x

Collect like terms

-15x + 20x = $110 - $90

5x = 20

x = 20/5

x = 4

Hence, anytime Keith and Mary buys 4 pizzas their gift card will have the same amount of money left on them.

5 0

4 years ago

Which of the following tables represents a function?

kirza4 [7]

<h3>Answer: Choice B</h3>

Reason:

Choices A, C and D have repeated x values. It allows us to rule them out.

Table A has x = 6 repeating. Table C has x = 3 and x = -3 repeated. Table D has x = 4 and x = 5 show up twice each.

Whenever we have repeated x values, it indicates we do <u>not</u> have a function. A function is only possible when each x value goes to exactly one y value only.

Table A has the input x = 6 lead to y = 2 and y = -2 at the same time. Table C and table D are a similar story. So this is another way to rule out choices A, C and D.

Luckily table B has no repeated x values. Each x input leads to exactly one and only one y output. Therefore, <u>table B</u> is a function.

Side Note: the y values can repeat, but the function won't be one-to-one.

6 0

2 years ago

2x+5 = 170<br><br> Two Step Equation

kkurt [141]

X=165/2

I hope this helps I’m not too good at math lol

6 0

3 years ago

Read 2 more answers