What fraction of a group of 1/4 is left

balandron [24]

Answer:

Function 2 has larger max value.

Step-by-step explanation:

We know that the graph of Function 1 has the maximum value of 1 at x = 4 by looking at the graph.

But since we don't know what the maximum value of Function 2 is (Because Function 2 isn't given as a graph but rather an equation.) which means that we have to find the maximum value of Function 2.

$\large{f(x) = - {x}^{2} + 4x + 1}$

It is not necessary to find x-value for a function because we want to know which function has larger maximum value. We will be using the formula below.

$\large \boxed{y = \frac{4ac - {b}^{2} }{4a} }$

As you may know, a max-min value is indeed y-value. From Function 2, we know the value of a, b and c from standard form y = ax²+bx+c

Substitute our a, b and c in the formula.

$\large{y = \frac{4( - 1)(1) - {(4)}^{2} }{4( - 1)} } \\ \large{y = \frac{ - 4 - 16}{ - 4} } \\ \large{y = \frac{ - 20}{ - 4} = 5}$

Since our maximum value or y-value is 5 for Function 2. Since we also know that Function 1 has 1 as maximum value and Function 2 has 5 as maximum value. Therefore, Function 2 has larger maximum value.

5 0

3 years ago

What is the slope of a line that is perpendicular to the lien whose equation is 2y=3x-1

bixtya [17]

Answer:

-2/3

Step-by-step explanation:

We are to find the slope of a line which is perpendicular of a line with an equation $2y=3x-1$ .

We know that the slope of line which is perpendicular to another line is the negative reciprocal of that perpendicular line.

So writing the given equation of a line in the slope intercept form:

$2y=3x-1$ ---> $y=\frac{3}{2} x-\frac{1}{2}$

Here the slope of this line is $\frac{3}{2}$ so the slope of a line which is perpendicular to the given line will be $-\frac{2}{3}$ .

3 0

3 years ago

Read 2 more answers

A store sells 6 T-shirts for $58.20. What is the unit cost per T-shirt?

yarga [219]

The unit cost is 3.67 pert shirt

4 0

2 years ago

What is the probability that someone in the survey considered reading books or surf the internet as the best entertainment?

mr Goodwill [35]

Answer:

31/100

Step-by-step explanation:

From the given table

Reading books percentage is 22

so Probability (reading books) = $\frac{22}{100}$

Surf the internet percentage is 9

Probability (surf the internet) = $\frac{9}{100}$

the probability (reading books or surf the internet)= P(reading books) + P(surf the internet)

probability (reading or surf)= $\frac{22}{100} +\frac{9}{100}$

= $\frac{31}{100}$

3 0

3 years ago

Read 2 more answers

The dimensions of four rectangles are given below. Which has an area different from the area of each of the other three?

storchak [24]

To determine which of the rectangles has a different area, the areas of the four rectangles must be calculated. The rectangle with a different area is rectangle b

The dimension of the 4 rectangles are:

a. length: 4x and width: 4

b. length: 11 and width: x

c. length: 2 and width: 8x

d. length: 16x and width: 1

The area of a rectangle is:

$Area = Length \times Width$