MATHEMATICS HIGH SCHOOL

Simplify the following

Square root 15 / Square root 3

Answers

Answer 1
Answer:

Answer:

The answer is √5 .

Step-by-step explanation:

Youhavetorationalizethefractioninordertogetridofsurdinthedenorminatorbymultiplying√3tobothnumeratoramddenorminator:

( √(15) )/( √(3) )

= ( √(15) )/( √(3) ) * ( √(3) )/( √(3) )

= ( √(15) * √(3) )/( √(3) * √(3) )

= ( √(45) )/(3)

= ( √(9 * 5) )/(3)

= (3 √(5) )/(3)

= √(5)

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Answers

Answer:

There is no question to answer.

Step-by-step explanation:

Answer:

Where is the question ?

5x+2y=7
7x+2y=5 i need it right

Answers

I solved it in the image below. 
5x+2y=7 7x-2y=5 its subtract not add

Find the range of f(x) = 3x - 5 for the domain {-1.5, 2, 4}A) {-8, 10, -1, -1}
B) {-9.5, 1, 7}
C) {8, 10, 1, 1}
D) {9.5, -1, -7}

Answers

For this case we have the following function:

f (x) = 3x - 5

To find the values of the range of the function, we substitute the values of the domain.

We have then:

For x = -1.5:

f (x) = 3 (-1.5) - 5\nf (x) = -4.5 - 5\nf (x) = -9.5

For x = 2:

f (x) = 3 (2) - 5\nf (x) = 6 - 5\nf (x) = 1

For x = 4:

f (x) = 3 (4) - 5\nf (x) = 12 - 5\nf (x) = 7

Therefore, the values of the range are given by:

{-9.5, 1, 7}

Answer:

the range of f (x) = 3x - 5 for the domain {-1.5, 2, 4} is:

B) {-9.5, 1, 7}
B is the answer

Because A and C could not be since the set have 4 results

D could not be because f(4)=. 12-5=7 not -7

I need confirmation to this. I did it already. I just want to know if I’m right. Please work it out for me to see.

Answers

(a)

4x + 3y = 23

5x + 2y = 20

(b)

4x + 3y = 23   ⇒   -2(4x + 3y = 23)   ⇒    -8x - 6y = -46

5x + 2y = 20   ⇒    3(5x + 2y = 20)   ⇒   15x + 6y = 60

                                                                 7x          = 14

                                                                   x          = 2

5x + 2y = 20

5(2) + 2y = 20

 10 + 2y = 20

        2y = 10

         y = 5

Answer: biscuit = $2, ice cream = $5

On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. The test predicted that Erin will not have a heart attack. What is the probability after the test was taken that she will have a heart attack?0.4051
0.5010
0.4653
0.6632

Answers

Answer:

C.  0.4653

Step-by-step explanation:

This a conditional probability problem where Bayes theorem should be applied.

Applying Bayes theorem,

P(\text{No heart attack}\ |\ \text{Correctly tested})=

\frac{P(\text{Correctly tested}\ |\ \text{No heart attack})\cdot P(\text{No heart attack})}{P(\text{Correctly tested})}

P(\text{Correctly\ tested}\ |\ \text{No\ heart\ attack})=67\%=0.67

P(\text{No\ heart\ attack})=1-P(\text{heart\ attack})=1-0.7=0.3

P(\text{Correctly\ tested})=[P(\text{No\ heart\ attack})* P(\text{Correctly\ tested})]+[P(\text{Heart\ attack})* (\text{Incorrectly\ tested})]

=[0.3* 0.67]+[0.7* 0.33]=0.432

Putting the values,

P(\text{No\ heart\ attack}\ |\ \text{Correctly\ tested})=(0.67* 0.3)/(0.432) =0.4653

There is a probability of 0.4653 or 46.53% chance that she will not have a heart attack even though the test predicts that she will.

Answer:

C= .4653

Step-by-step explanation:

i just took the test and got it right

Find the x and y intercepts of the line with equation 3y - 6 = 3?

Answers

X - Intercept
  3y - 6x = 3
3(0) - 6x = 3
    0 - 6x = 3
        -6x = 3
         -6    -6
           x = -0.5

Y - Intercept
  3y - 6x = 3
3y - 6(0) = 3
    3y - 0 = 3
         3y = 3
          3     3
           y = 1

X - Intercept and Y - Intercept
(x, y) = (-0.5, 1)
the answer is 3 times y minus six equals to 3 .y=5 so three times five is fifteen so then you take that total and subtract it with six which equals to three . hope this helps you
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