Need help with numbers 58 and 60

Determine whether each sum, difference, product,

PIT_PIT [208]

Answer:

28. The difference represents an irrational number

29. The difference represents a rational number

30. The quotient represents a rational number

31. The quotient represents an irrational number

Step-by-step explanation:

* Lets explain how to solve the problem

- The rational number is any numbers can be put in the form of a/b,

where a and b are integers b ≠ 0

- Ex: 1 , 2/3 , 5/4 , 22/7 , 100 , ................

- The irrational number is any number that is not rational

- It is a number that cannot be written as a ratio of two integers

or cannot be expressed as a fraction

- Ex: √2 , √7 , π , ..... (π is irrational because it's approximated value)

- If the part of the the number is irrational, then the number

is irrational

- Ex: (5 + √3) , (√7 + 5) , 2√5 , √11/4 , 5/√13

* Lets solve the problems

28. $\frac{6}{23}-\frac{\sqrt{2}}{2}$

∵ √2/2 is an irrational number

∵ One term is an irrational number

∴ The difference represents an irrational number

29. $\frac{6}{23}-\frac{15}{127}$

∵ The two terms are rational numbers

∴ The difference represents a rational number

30. $\frac{6}{23}$ ÷ $\frac{15}{127}$

∵ The two terms are rational numbers

∴ The quotient represents a rational number

31. $\frac{6}{23}$ ÷ $\frac{\sqrt{2}}{2}$

∵ √2/2 is an irrational number

∵ One term is an irrational number

∴ The quotient represents an irrational number

7 0

4 years ago

I am trying to figure out what times 628 will give me 5026, can someone help please!" I need instant answers.

stich3 [128]

all you have to do is divide 5026 by 628 which gives you 8.003 or 8 as the final answer.

8

7 0

4 years ago

Suppose a parabola has vertex (5,-3) and also passes through the point (6, 1). Write the equation of the parabola in vertex form

Alchen [17]

General form for vertex form is:

y = a(x - h)² + k

Where the vertex is the point (h, k). We know this to be (5, -3), so we can substitute the values for h and k to get:

y = a(x - 5)² - 3

We then also have another point (6, 1) that gives us an x and y. Substitute those in to leave one unknown which we can solve for:

1 = a(6 - 5)² - 3

1 = a(1)² - 3

1 = a(1) - 3

1 = a - 3

4 = a

So the equation of this parabola in vertex form is:

y = 4(x - 5)² - 3

can i have brainlist

7 0

3 years ago

How many solutions does this equation have

larisa86 [58]

Answer:

Two solutions

Step-by-step explanation:

This is a quadratic equation in the form y = ax² + bx + c.

For quadratic equations, you can find solutions using the quadratic formula:

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

To find the number of solutions, you only need what's inside the square root. We call it the "discriminant" because lets us know the number of solutions without solving.

$b^{2}-4ac$

If b²- 4ac > 0, two solutions. (greater than)

If b²- 4ac < 0, no solutions. (less than)

If b²- 4ac = 0, one solution. (equal to)

y = ax² + bx + c

y = -3x² + x + 12

a = -3 b = 1 c = 12

Substitute into the discriminant

b²- 4ac

= 1² - 4(-3)(12)

= 1 - (-144)

= 145 > 0

b²- 4ac > 0 Discriminant greater than 0

Therefore, there are two solutions.

7 0

3 years ago

Which line has a larger slope?

nexus9112 [7]

Answer:

the one on the right looks best for the slope because the slope is a lot larger than the one on the right the one on the right is smaller but a few inches few times I don't know you might want to check it before I actually answer it for you so I hope you found this kind of helpful thank you bye

5 0

3 years ago