Lenora is a college student with a student loan of $7,500. Her tuition is $3,200 per year. She owns $470 worth of text books and a has a laptop computer worth $950. She also has a meal plan at school for which she pays $250 per month.

Answer:

8x(10)^9 - 2 x (10)^1

1x(10)^3 - 9 x (10)^2

Step-by-step explanation:

3.1 X (10)^4- 6.5 X (10)^2

= 31000- 650

= 30,350

For greater number

_x10^blank - _ x 10^_

8x(10)^9 - 2 x (10)^1  ( we use 9 as the power because greater number used as power gives the bigger number and the next smaller number 8 as base. Similarly we use smaller number for power to get a smaller for the greatest difference)

= 8,000,000,000 -20

= 7,999,999,980

For smaller number

_x10^blank - _ x 10^_

1x(10)^3 - 9 x (10)^2   ( we use 3 as the power because smaller number used as power gives the smaller number and the next smallest number 1 as base. Similarly we use next smaller number for power to get the next  smaller for the smallest difference)

= 1000- 900

= 100

We fill in the blanks keeping in mind that we do not have to repeat the numbers from 1-9 and also the numbers should have such an arrangement that they show the smallest and largest possible differences.

Answer:

You have to take the ratio so you divide the new value on the old value and compare It with 100 so you write

(40)/(32)=(x)/(100)

And this means that x = 125

So the ratio of the increase of the new time is 125%

But the real increase is 125 - 100 = 25%

Answer:

[tex]1 \dfrac{1}{4} \ liters[/tex]

Step-by-step explanation:

Given that:

Claire uses 2 liters of paint to cover 1 3/5 doors

Then in order for her to paint 1 door, She will need:

2 L = 1 3/5 door

x L = 1 door

[tex]x (L) = \dfrac{2 L \times 1 door }{ 1 \dfrac{3}{5} \ door}[/tex]

[tex]x (L) = \dfrac{2 L }{ 1 \dfrac{3}{5} }[/tex]

[tex]x (L) = \dfrac{2 L }{ \dfrac{8}{5} }[/tex]

[tex]x (L) = \dfrac{2 L\times 5 }{ 8 }[/tex]

[tex]x (L) = \dfrac{10 \ L }{ 8 }[/tex]

[tex]x(L) =1 \dfrac{1}{4} \ L[/tex]

Answer: 1/26

Step-by-step explanation:

Out of the 52 card deck there is a single Jack of diamonds and a single ace of clubs. Their individual probabilities are therefore both 1/52.

For the probability that you can pick either of those card you have to add up their probabilities;

= 1/52 + 1/52

= 2/52

= 1/26

Answer:

8.5

Step-by-step explanation:

Answer:

you cant have two variables

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

42 cm

Step-by-step explanation:

Area of rectangle (shaded area):

length × breadth

length: 7 cm

breadth: 7 - 2(0.5) = 6 cm

7 × 6 = 42 cm

Answer:

42 cm is the correct answer of this one

Answer:c

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

225 divided by 25 is 9.

Answer:

Exact Form:

45/8

Decimal Form:

5.625

Mixed Number Form:

5 5/8

Answer:

5 and 5/8

Step-by-step explanation:

Answer:

5 letters

Step-by-step explanation:

Let x = the number of letters engraved.

For the first store, the cost can be written as (18.50 + 0.15x).

For the second store, the cost can be written as (18 + 0.25x).

For the cost and value of x to be the same, let them equal eachother and evaluate x:

18.5 + 0.15x = 18 + 0.25

0.1x = 0.5

∴x=5

Answer:

x is less than or equal to -2

This means anything equal to or less than -2 is the solution to the ORIGINAL equation. Based on the solution set the answer is -3

Step-by-step explanation:

-3x+8 is greater than or equal to 14

    -8                                               -8

-3x is greater than or equal to 6

-3x/-3                                         6/-3

*THIS WILL CAUSE US TO FLIP THE INEQUALITY SYMBOL AS WE DIVIDED BY A NEGATIVE NUMBER

x is less than or equal to -2

This means anything equal to or less than -2 is the solution to the ORIGINAL equation

Based on the solution set the answer is -3

Hope this helps!

Answer:

B

Step-by-step explanation:

We are given a right triangle with angles 45, 90, and 45

With this type of right triangle, the ratio of the sides are 1:1:square root of 2

We are also given that the hypotenuse is 18

This means that the sides are in the ratio of x:x:x(square root of 2)

Since 18 is the hypotenuse, we can form the equation of-

18 = x(square root of 2)

18/(square root of 2)=x

x= 9 square root of 2

since y=x, y= 9 square root of 2

Answer:

y-intercept,

end behavior,

range,

and horizontal asymptote

Step-by-step explanation:

I just finished the PLATO test and these are the answers

The answers are y-intercept, end behaviour, range and horizontal asymptote.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a parent function:

f(x) = eˣ

The transformed function:

g(x) = -f(x) - 4 = -eˣ - 4

g(0) = -5

f(0) = 1

From the graph, we can say the y-intercept, end behaviour, range and horizontal asymptote are different from the parent function.

Thus, the answers are y-intercept, end behaviour, range and horizontal asymptote.

Learn more about the function here:

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Answer:

Speed = 72,285 in/min

Step-by-step explanation:

Given:

Total revolution per min = 1,000

Diameter = 23 in

Radius = 23/2 in

Time = 1 min

Find:

Speed

Computation:

Total distance = 2πr(1000)

Speed = Distance / time

Speed = 2πr(1000) / 1

Speed = 2π(23/2)(1000) / 1

Speed = 72,285 in/min

Answer: (1,-5)

Step-by-step explanation:it’s the answer

Answer:

the third one: -1/2

Step-by-step explanation:

if you multiply 104 by -1/2 you get -52, and so on the pattern will continue

Answer:

C. -1/2.

Step-by-step explanation:

Common ratio = -52/104 = 28/-52 = -13/26 = -1/2.

Answer:

3(a+2b)=11b

3a+6b=11b

3a=5b

a/b=5/3

a:b=5:3

Answer:

a:b = 5:3

Step-by-step explanation:

I do RSM too, just type in 5:3! Good luck and have a wonderful day.

Answer:

You didn't even write a question.

Answer:

-2/5

Step-by-step explanation:

1. 4-6 = -2

2. -4- -9 = 5

3. -2/5

Answer:

[tex]-\frac{2}{5}[/tex]

Step-by-step explanation:

slope formula is:

[tex]y2-y1/x2-x1[/tex]

so we plug in the coordinates

[tex](6-4)/(-9--4)[/tex]

which is

[tex]2/-5[/tex]

so the slope is

[tex]-\frac{2}{5}[/tex]

Hope this helps :D Mark Brainliest please!!!

Answer:

C. about 15.4%

Step-by-step explanation:

There are 52 cards in a deck

There are 4 kings and 4 aces

so, 8/52 is the chance of getting either of those two.

8/52 is about 0.1538 or 15.38%

15.38% rounded would be 15.4%

Answer:

Step-by-step explanation:

D

Answer:

£223.20

Step-by-step explanation:

20%=37.2

186+37.2=223.2

£223.2

Answer:

.

Step-by-step explanation:

I tried to solve this but I don't get it maybe use another app for it bc it looks hard lolz

Answer:

you distribute the - not the 9

Step-by-step explanation:

so your problem would be

9-8r-5

( act as if there is a one in front of the negative sign)

hope this helps :)

Answer:

149

Step-by-step explanation:

6.4 ÷ 0.043

= 148.837209302

= 149 (rounded to the nearest whole number)

Hope this helped!

Answer:

6.4 ÷ 0.043=148.83...so the nearest whole number it is 149

Step-by-step explanation:

since 5-9 are rounded up

Answer:

Enter a problem...

Algebra Examples

Popular Problems Algebra Find the Asymptotes f(x)=10/(x^2-1)

f

(

x

)

=

10

x

2

−

1

Find where the expression

10

x

2

−

1

is undefined.

x

=

−

1

,

x

=

1

Since

10

x

2

−

1

→

∞

as

x

→

−

1

from the left and

10

x

2

−

1

→

−

∞

as

x

→

−

1

from the right, then

x

=

−

1

is a vertical asymptote.

x

=

−

1

Since

10

x

2

−

1

→

−

∞

as

x

→

1

from the left and

10

x

2

−

1

→

∞

as

x

→

1

from the right, then

x

=

1

is a vertical asymptote.

x

=

1

List all of the vertical asymptotes:

x

=

−

1

,

1

Consider the rational function

R

(

x

)

=

a

x

n

b

x

m

where

n

is the degree of the numerator and

m

is the degree of the denominator.

1. If

n

<

m

, then the x-axis,

y

=

0

, is the horizontal asymptote.

2. If

n

=

m

, then the horizontal asymptote is the line

y

=

a

b

.

3. If

n

>

m

, then there is no horizontal asymptote (there is an oblique asymptote).

Find

n

and

m

.

n

=

0

m

=

2

Since

n

<

m

, the x-axis,

y

=

0

, is the horizontal asymptote.

y

=

0

There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.

No Oblique Asymptotes

This is the set of all asymptotes.

Vertical Asymptotes:

x

=

−

1

,

1

Horizontal Asymptotes:

y

=

0

No Oblique Asymptotes

image of graph

The vertical asymptotes of the given function are x = 1 and x = -1,

We have given the rational function is 10/(x²-1​).

We need to find the vertical asymptotes of this function.

Since Vertical asymptotes occur when the denominator of the function becomes zero and the numerator is not zero.

To determine the vertical asymptotes of the function, we need to solve the denominator for x²-1=0.

x²-1=0

x²=1

x=±√1

x=±1

Therefore, the vertical asymptotes of the given function are x = 1 and x = -1, since the denominator becomes zero at x=1 and x=-1.

To learn more about vertical asymptotes visit:

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