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3 years ago

Choose the fraction that goes in the blank? 1/2 < _ < 4/5

2 answers:

8 0

1/2 < __ < 4/5

1/2 = 0.5
4/5 = 0.8

they got 2/3 because 2/3 = 0.66 and it falls in between 1/2 and 4/5.

The other answer choices obviously did not fall in the solution range

Furkat [3]3 years ago

3 0

2/3 works here because its value is greater than 1/2 but less than 4/5. An easy way to visualize this is to take the decimal value of each number as decimals are often easier to understand than fractions.

1/2=.50
2/3=.67
4/5=.80

This inequality could be rewritten as .50 < .67 < .80 and would have the same value.

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The quadratic function fhas a vertex at (3,4) and opens upward. The quadratic function g is shown below.

Alecsey [184]

Answer:

Option (C)

Step-by-step explanation:

Equation of the quadratic function having vertex at (3, 4) and opening upwards,

So the the minimum point of the function is (3, 4).

Therefore, minimum value of the function is 4 at x = 3.

y = (x - h)² + k [Here, (h, k) is the vertex]

g(x) = 2(x - 4)² + 3

Vertex of the parabola is (4, 3).

Since, leading coefficient is positive, parabola will open upwards.

Therefore, vertex will be the minimum point.

Minimum value of the function will be 3 at x = 4.

Minimum value of the function 'f' is greater than the minimum value of the function 'g'.

Option (C) will be the answer.

6 0

2 years ago

guajiro [1.7K]

Answer and Step-by-step explanation: Standard form of a quadratic equation is expressed as: y=ax²+bx+c, while vertex form is written as:

y=a(x-h)²+k.

The similarities between standard and vertex forms is that they show if the graph of the equation has a minimum (when a>0) or maximum (a<0) and it's easier to determine the y-intercept: for standard, the value of c is the intercept; for vertex, the value k is the intercept.

The advantage of standard form is that you can determine the product and sum of the equation's roots, which is a method to determine them.

The advantages of vertex form are: easier to find the vertex of the graph, which is the pair (h,k) and the axis of symmetry, which is the value of h.

8 0

3 years ago

Laurel wants to build a fence around her square garden. Each side measures 50 feet. She also wants to fence in 3 square rose bed

Rufina [12.5K]

Laurel needs 210.5 feet of fence

3 0

3 years ago

How many solutions does 2x+2=x+x+2 have

Korolek [52]

Answer:

The system has infinite solutions

Step-by-step explanation:

IF we re arrange the terms, we will find the following identity:

0=0

Meaning that any variable you find will not affect the equation 0=0,

7 0

3 years ago

If g(x)= 3/4x + 2 , find g(-12)

Butoxors [25]

Answer:

Explanation:

The average rate of change is calculated using

∣∣

∣

∣∣¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯aag(b)−g(a)b−aaa∣∣∣−−−−−−−−−−−−−−−

here a = 1 and b = 3

g(3)=2(3)3−4(3)2=54−36=18

and g(1)=2(1)3−4(1)2=2−4=−2

⇒ average rate of change =18−(−2)3−1=202=10

Hope this helped

3 0

3 years ago