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3 years ago

Sketch the graph of a function which satisfies all of the following conditions:

1 answer:

3 0

You can use for example $f(x)=\frac{1}{x-4}$ . I have graphed it there : <u>https://www.desmos.com/calculator/othuxmqqyj

</u>A and B : f is always decreasing except in 4 where it is not defined
C,D : $f''(x)=\frac{2}{x^3}$

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Leezas aquarium holds 55 gallons of water. She is filling the tank and has already put in 22 gallons. Write and solve an inequal

svp [43]

Leeza can put 33 or less gallons of water in aquarium.

Step-by-step explanation:

Given,

Capacity of aquarium = 55 gallons of water

Water already in aquarium = 22 gallons

Let,

x be the number of gallons that can be added in aquarium.

As aquarium can hold 55 gallons of water, therefore, we cannot add more than 55 gallons of water.

$x+22\leq 55$

Subtracting 22 from both sides

$x+22-22\leq 55-22\\x\leq 33$

Leeza can put 33 or less gallons of water in aquarium.

Keywords: inequality, subtraction

Learn more about inequalities at:

#LearnwithBrainly

6 0

3 years ago

Write the equation of a line perpendicular to y=0.25x-7 and passes through the point -6,8

horrorfan [7]

the equation of a line perpendicular to $y=0.25x-7$ and passes through the point (-6,8) is $y=-4x+30$

Step-by-step explanation:

We need to write equation of line perpendicular to $y=0.25x-7$ and passes through the point (-6,8)

Since the line $y=0.25x-7$ is in slope-inetercept form $y=mx+b$

the slope of line m = 0.25

As, the new line is perpendicular to the given line so, slopes of lines that are perpendicular are: slope = -1/slope1

So, slope will be -1/0.25 = -4

Now, finding y-intercept.

$y=mx+b8=4(-6)+b\\8=-24+b\\b=8+24\\b=30$

So, value of y-intercept b = 30

Now the equation of the required line having slope m= -4 and b =30 will be:

$y=mx+b\\y=-4x+30$

So, the equation of a line perpendicular to $y=0.25x-7$ and passes through the point (-6,8) is $y=-4x+30$

Keywords: Equation of line, slope-intercept form

Learn more about slope-intercept form at:

#learnwithBrainly

3 0

3 years ago

What is the result of adding these two equations?

andre [41]

Answer:

x=103/265 y=18/53

Step-by-step explanation:

5x -9y=1-----------(i)

-7x+2y=-5-----------(ii)

Multiplying eq 1 with 7 gives

35x-63y=7---------eq(iii)

Multiplying eq 2 with 5 gives

-35x+10y=-25--------eq(iv)

adding eq 3 qnd eq 4

35x-63y-35x+10y=7-25

-53y=-18

y=18/53--------eq5

Putting the value of y from eq 5 in eq 1

5x-9(18/53)=-5

5x- 162/53=-5

5x=-5 +162/53

5x= -265+162/53

5x=103/53

x=103/265

7 0

3 years ago

Find The Volume And Surface Area!

KATRIN_1 [288]

Answer:

I'm sorry the pic isn't loading for meee but I wish u all the best

8 0

3 years ago

What is the solution to the inequality?

3241004551 [841]

Answer:

Step-by-step explanation:

-4x - 8 > -20

-4x > -12

x < 3

6 0

3 years ago