MATHEMATICS HIGH SCHOOL

3х – 13 = 23
Please give an explanation to the answer

Answers

Answer 1
Answer:

Answer:

x = 12

Step-by-step explanation:

This equation is very easy to solve.

3x - 13 = 23 Add 13 to both sides of the equation.

3x = 36 Divide by 3 on both sides of the equation.

x = 12

Then, check your answer by substituting the solved value.

3(12) - 13 = 23

36 - 13 = 23

23 = 23

Therefore, x = 12 is the solution to the equation.
Answer 2
Answer:

Answer:

x = 12

Step-by-step explanation:

3x - 13 = 23

Bring non-variable numbers to other side:

3x = 36

Divide both sides by 3:

x = 12

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Simplifying square root of 96

Answers

To do this you need to find the prime factors of 96 ( 2·2·2·2·2·3) now, the numbers that are the same pair up to make one of the numer. So 2·2= 2 and the other 2·2= 2 also. Now bring the new 2s to the left of the square root sign and multiply to get 4. now you have 4√2·3 and to finish the equation you just multiply 2 and 3 to get:

4√6 as your answer.

There are 12 students in a classroom, including the triplets joey, chloe, and zoe. If 3 of the 12 are randomly selcted to give speeches, what is the probability that joey with be first, chloe will be second, and zoe will be third?A: 1/1320 B: 1/4 C: 1/48 D: 1/220

Answers


The probability of choosing Joey first is  1/12 .

If that happens, the probability of choosing Chloe next is  1/11 .

Then, the probability of choosing Zoe after that is  1/10 .

The probability of all these things happening is

          (1/12) x (1/11) x (1/10) 

       =  1/1320 = 0.00076 = 0.076 percent 

The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function f(x) = x2?

Answers

we have

g(x)=(x-3)^(2)+9

This is the equation of a vertical parabola with vertex at point (3,9)

The parabola open upward------> the vertex is a minimum

f(x)=x^(2)

This is the equation of a vertical parabola with vertex at point (0,0)

The parabola open upward------> the vertex is a minimum

so

the rule of the translation is

f(x)------> g(x)

(x,y)-----> (x+3,y+9)

that means

the translation is 3 units to the right and 9 units up

the graph of the function g(x) is the translated graphic of the function f(x) 3 units to the right and 9 units up

therefore

the answer is

g(x) is shifted 3 units right and  9  units up
in y=a(x-h)^2+k
vertex=(h,k)

f(x)=x^2,
 the vertex is (0,0)
it opens up

g(x)=(x-3)^2+9
vertex is (3,9)
opens up

Find the missing angle.
Round to the nearest whole degree.

Answers

Answer:

θ = 37°

Step-by-step explanation:

The missing angle is θ

cos θ = 4/5

cosθ = 0.8

  • Using a calculator:

cos^(-1)(0.8) = 36.86≈ 37°

so θ = 37°

Which of the binomials below is a factor of this trinomial?5x2 + 15x -50
O A. X-10
O B. X-2
O C. x+10
O D. x+ 2

Answers

Answer:

5( x+5) (x-2)

Step-by-step explanation:

5x^2 + 15x -50

Factor out a 5

5(x^2 +3x - 10)

What 2 terms multiply to -10 and add to 3

5*-2 = -10

5-2 = 3

5( x+5) (x-2)

How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions

Answers

at least you can write it as the sum of half of it twice, that is:
2/x = 1/x + 1/x
whatever x number you have, for example:
2/5 = 1/5 + 1/5

But then, you can express a fraction in many different ways, for example again:
2/5 = 1/5 + 1/5 = 2/10 + 2/10
= 1/10 + 1/10 + 1/10 + 1/10
so there are an infinite ways of expressing such a fraction.
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