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Kazeer [188]
3 years ago
11

Multiplying the numerator and denominator of 8/10 by creates the equivalent fraction 40/50

Mathematics
2 answers:
VARVARA [1.3K]3 years ago
7 0

Answer:

5

Step-by-step explanation:

1. Multiply it seperatly, 8 x 5 and 10 x 5

2. Put it back into it's fraction form, 40/50

3. there you go! The answer is "Multiplying the numerator and denominator of 8/10 by 5 creates the equivalent fraction 40/50."

Vlad [161]3 years ago
6 0

These are just some

equivalent fractions of 40/50:

4/5 = 8/10 = 12/15 = 16/20

20/25 = 24/30 = 28/35 = 32/40

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Tom [10]
Answer: the function g(x) has the smallest minimum y-value.


Explanation:


1) The function f(x) = 3x² + 12x + 16 is a parabola.


The vertex of the parabola is the minimum or maximum on the parabola.


If the parabola open down then the vertex is a maximum, and if the parabola open upward the vertex is a minimum.


The sign of the coefficient of the quadratic term tells whether the parabola opens upward or downward.


When such coefficient is positive, the parabola opens upward (so it has a minimum); when the coefficient is negative the parabola opens downward (so it has a maximum).


Here the coefficient is positive (3), which tells that the vertex of the parabola is a miimum.


Then, finding the minimum value of the function is done by finding the vertex.

I will change the form of the function to the vertex form by completing squares:

Given: 3x² + 12x + 16

Group: (3x² + 12x) + 16
Common factor: 3 [x² + 4x ] + 16
Complete squares: 3[ ( x² + 4x + 4) - 4] + 16
Factor the trinomial: 3 [(x + 2)² - 4] + 16
Distributive property: 3 (x + 2)² - 12 + 16
Combine like terms: 3 (x + 2)² + 4

That is the vertex form: A(x - h)² + k, whch means that the vertex is (h,k) = (-2, 4).


Then the minimum value is 4 (when x = - 2).


2) The othe function is <span>g(x)= 2 *sin(x-pi)
</span>

The sine function goes from -1 to + 1, so the minimum value of sin(x - pi) is - 1.


When you multiply by 2, you just increased the amplitude of the function and obtain the new minimum value is 2 (-1) = - 2


Comparing the two minima, you have 4 vs - 2, and so the function g(x) has the smallest minimum y-value.

7 0
3 years ago
State the domain and the range of each relation. Then determine whether the relation is a function.
IrinaVladis [17]

Answer:

Domain:{-6,3,4}

Range:{-2,5,6,23}

The relation is not a function.

Step-by-step explanation:

By definition, a relation is a function if each input value has only one output value.

Given the relation:

(4,23)

(3,-2)

(-6,5)

(4,6)

The domain is the set of the x-coordinates of each ordered pair (You do not need to write 4 twice):

Domain:{-6,3,4}

The range is the set of the y-coordinates of each ordered pair :

 Range:{-2,5,6,23}

Since the input value 4 has two different output values (23 and 6), the relation is not a function.

8 0
3 years ago
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