(5i-3)(9i+1)
Answer must be in standard form

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:

The correct answers are: 1 and -15

Step-by-step explanation:

Let a be a point on number line and b be the second point on number line.

The distance between two numbers on number line is calculate by subtracting the smaller number from larger number.

Here

AB = 8

B = -7

We have to look at the options one by one.

For A = -1

As A>B

[tex]AB = B-A = -1-(-7) = -1+7 = 6[/tex]

For A = 1

As A>B so

[tex]AB = A-B = 1-(-7) = 1+7 = 8[/tex]

So with A = 1 , AB = 8

This is one of the right answers.

For A=15

As A>B

[tex]AB = A-B = 15-(-7) = 15+7 = 22\\[/tex]

For A=-15

As B>A

[tex]AB = B-A = -7-(-15) = -7+15 = 8[/tex]

As with A=1 and A=-15, the distance between AB is 8 so these are the correct answers.

Hence,

The correct answers are: 1 and -15

Answer:

-1

Step-by-step explanation:

Answer:

40 Baskets

Step-by-step explanation:

4 baskets = 1/2 hour

? baskets = 5 hours

This means, 8 baskets = 1 hour

8 x 5 = 40

Therefore,

40 baskets = 5 hours

Answer:

40/1 baskets

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

225 divided by 25 is 9.

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:

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:

8.5

Step-by-step explanation:

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:

[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:

a) 3x + y = -5 & b) y = 1/3 ( 21- 9x )

Step-by-step explanation:

a)

3x + y = -5

y = -3x -5

b)

y = 1/3 ( 21 - 9x)

y = -3x + 7

y = 3x + 2.5

the slop is to be same in the parallel lines. slop means m in ( y = mx + c )

so a) & b) are parallel lines. since their m is -3 .

Answer:

w= -12

Step-by-step explanation:

okay I understood it now. Here you go.

You’re welcome :)

Answer:

w= -12

Step-by-step explanation:

x both sides by 24

4w + 15 + -33

move the constant to the right  and change its sign

4w= -33 -15

calculate the difference ...

4w = -48

divide both sides by 4

w= -12

I believe the scale factor would be 4, seeing as the length of triangle a's bottom side is 2, and triangle b's bottom side is 8.

Answer:5

Step-by-step explanation:

yh thereu go

Answer:

8 grams

Step-by-step explanation:

u add 2 triangles

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:

brainly.com/question/4084552

#SPJ2

Answer:

Y = 5x -7

Step-by-step explanation:

That is written in slope intercept form, which I'm assuming is what you need. If not comment on my answer.

Answer:

y = 5x - 7

Step-by-step explanation:

y-3= 5(x-2)

y-3 = 5x - 10

y=5x -7

This is the answer if you have anymore questions please ask

Answer:

C

Step-by-step explanation:

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:

(-7. -8) Just flip the signs.

Answer:

[tex]\boxed {\boxed {\sf (-8,-7)}}[/tex]

Step-by-step explanation:

When a point is reflected over y=-x, the following change occurs:

[tex](x,y)[/tex]    ⇒  [tex](-y, -x)[/tex]

We are given the point (7,8).

Essentially, we change the signs for both coordinates, then flip the x-coordinate and y-coordinate.

1. Change the signs

[tex](7,8)[/tex]    ⇒    [tex](-7,-8)[/tex]

2. Flip the x and y coordinates

[tex](-7,-8)[/tex]   ⇒    [tex](-8,-7)[/tex]

So the image of (7,8) after a reflection over y=-x is (-8,-7)

Answer: 13/20

Step-by-step explanation:2 1/4 - 1 3/5 = 13/20

Answer:

13/20

Step-by-step explanation:

Answer:

you cant have two variables

Step-by-step explanation:

9514 1404 393

Answer:

  7/3

Step-by-step explanation:

The point at the right end of segment 5 is 7 units above and 3 units to the right of the point at the left end. The slope is the "rise" divided by the "run":

  slope = m = rise/run = 7/3

The slope of segment 5 is 7/3.

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:

6.8

Step-by-step explanation:

This sounds super complicated, but all it is asking is 1.3 + 5.5, which equals 6.8.

Answer:

[tex]m=\frac{2}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-2, -1)

Point (4, 3)

Step 2: Find slope m