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3 years ago

What 2 whole numbers is square root of 150 between

2 answers:

7 0

150- the square root would be between 12 and 13. You can try to check yourself by multiplying 12•12 and 13•13 to see its in between.

Leto [7]3 years ago

4 0

Answer:

150 lies between 12 and 13

Step-by-step explanation:

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

Definition: This is the second part of a conditional statement.

frosja888 [35]

Answer:

Step-by-step explanation:

Conditional Statements

"The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement. The conclusion is the result of a hypothesis."

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3 years ago

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Kayla was at the surface of a swimming pool and recorded the following two measurements, in feet, on a number line: −9, which re

maria [59]

A) 0 represents the surface of the pool.
B) The height of the pool is 10 above the pool surface
C) It should be -3 since it is going down so it is going to be a negative number and it is also below the pool's surface.

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3 years ago

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In a class, 7 students walk to school, two fifths ride and 32% are dropped off by their parents.

Svet_ta [14]

10 students ride the bus.

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3 years ago

Does 8, 10, 6 form a right triangle

loris [4]

Answer:

Step-by-step explanation:

8, 10, 6

10 - 8 = 2

2 + 6 = 8

8 0

3 years ago