All categories

3 years ago

What is the largest possible value of y, if y = - | 3 - x | + 5

1 answer:

7 0

Given any expression A, absolute value of A, that is |A|, is always positive or 0.

So |3-x| is always positive or 0, thus -|3-x| is always negative or 0.

Since we want the largest value of - | 3 - x | + 5, we must keep - | 3 - x | as large as possible, that is, we must keep | 3 - x | as small as possible.

The smallest possible value of | 3 - x | is 0. This happens for x=3.

The largest possible value of y = - | 3 - x | + 5 = 0+5 =5

Answer: 5

You might be interested in

The cost of 15 ounces if chees is $6.00 what is the cost of 12 ounces of cheese

QveST [7]

Hi!

We will solve this using proportions. Let x be the cost for 12 ounces of cheese. We will start like this:

15 ounces : 6 $ = 12 ounces : x $

x $ = (6 $ * 12 ounces)/15 ounces

x $ = 72 $/15

x = 4,8$

The cost of 12 ounces of cheese is 4,8$.

Hope this helps!

7 0

3 years ago

I Need help wit this.

Art [367]

Answer:

Quadrant IV

Quadrant IV (Also known as Quadrant 4) is made of negative (left) and positive (top)

7 0

3 years ago

What is the slope Of a line that passes through the points (9,8) and (2,3)?

tresset_1 [31]

$(\stackrel{x_1}{9}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{9}}}\implies \cfrac{-5}{-7}\implies \cfrac{5}{7}$

6 0

3 years ago

Read 2 more answers

180=2x+y which equation is used to find x

Serggg [28]

180=2x+y
180-y=2x
(180-y)/2=x

3 0

3 years ago

At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed st

EastWind [94]

Answer:

C. Left-handed: 48, Right-handed: 504

D. Left-handed: 30, Right-handed: 315

Step-by-step explanation:

We are given that there are 58 left-handed students and 609 right-handed students at East Middle School and these numbers of students are proportional to the number of left and right handed students at East Middle School.

Given the above information, we are are to determine which two options could be the the numbers of left-handed and right-handed students at West Junior High.

Ratio of right handed to left handed students at East Middle School = $\frac{609}{58} = 10.5$

Checking for ratios of the given options:

A. $\frac{483}{42} =11.5$

B. $\frac{378}{28} =13.5$

C. $\frac{504}{48} =10.5$

D. $\frac{560}{56} =10$

E. $\frac{315}{30} =10.5$

Therefore, the possible numbers of left-handed and right-handed students at West Junior High could be C. Left-handed: 48, Right-handed: 504 and D. Left-handed: 30, Right-handed: 315.

7 0

3 years ago

Read 2 more answers