8. Dai is comparing how many trading cards he has with his friend Maura. Initially, they find that Dai has four


more cards than twice the number that Maura has.


(a) If the number of cards Maura initially has is represented by n, then write an expression for the number of


cards that Dai initially has.


(b) If Dai must give Maura 8 cards so that they have the same amount, set up and solve an equation to


determine the number of cards Maura initially had.

Answer:

y = -5x-21

Step-by-step explanation:

Slope of parallel lines is the same.

To find b:

y = mx + b

Substitute the slope and the point given

-1 = -5(-4) + b

Solve for b

-1 = 20 + b

b = -21

Answer:

Step 1 it says Additive inverse, that is not additive inverse. Additive inverse is the opposite of a number. There is no opposite number in the problem. And step 5 is the answer, it shouldn't be simplify. Hope that helps! :)

Answer:

step 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x - 9y = -9 x x - 3y = (5  + 9) - 6 - 9) + 9 - 5

Answer:

y = x + 3

Step-by-step explanation:

To know which of the equations represent the relationship between x and y, you need to substitute the x and y values into the equation. If when the equation is solved, the left-hand and right-hand side of the equation equal each other and hence the equation is true, then the equation must be correct in expressing the relationship between the x and y values. If not, then it is not correct.

As this question is only dealing with linear equations, we know that the gradient of the line is constant and hence the rate of change in x and y values is constant. Therefore, we can choose to substitute any of the given combinations of x and y values into the equation to obtain the correct equation. As it is easier to use smaller numbers for smaller calculations, we'll use the first combination of x = 1 and y = 4 .

Equation No. 1 : y = 3x + 1 where x = 1 , y = 4 and x = 2 , y = 5

( 4 ) = 3 ( 1 ) + 1

4 = 4

However, as this equation has a constant not equal to 1 in front of the x variable and hence a different gradient to the other equations, we will substitute the second combination of x and y values.

( 5 ) = 3 ( 2 ) + 1

5 = 6

Therefore, equation is false / incorrect.

Equation No. 2 : y = x + 1 where x = 1 , y = 4

( 4 ) = ( 1 ) + 1

4 = 2

Therefore, equation is false / incorrect.

Equation No. 3 : y = x + 3 where x = 1 , y = 4

( 4 ) = ( 1 ) + 3

4 = 4

Therefore, equation is true / correct.

Equation No. 4 : y = x - 3 where x = 1 , y = 4

( 4 ) = ( 1 ) - 3

4 = - 2

Therefore, equation is false / incorrect.

Answer:

i'm sorry

Step-by-step explanation:

what do you mean

Answer:( b )i think

Step-by-step explanation:

Answer:

1) [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]

2) [tex]y=4x+5[/tex]

3) [tex]y=-\frac{1}{4}x+4[/tex]

Step-by-step explanation:

Question 1:

All you have to do is solve for y to get the slope intercept form.

[tex]4x+16y=8\\16y=-4x+8\\y=-\frac{1}{4}x+\frac{1}{2}[/tex]

So the equation is [tex]y=-\frac{1}{4}x+\frac{1}{2}[/tex]

Question 2:

Now for this one you have to find the line perpendicular to the previous equation.

     Finding the slope:

So first we need to find the slope and usually the slope of a perpendicular line is the opposite and the reciprocal to the original equation. So instead of [tex]-\frac{1}{4}[/tex] it will be [tex]\frac{4}{1}[/tex] or even easier to manage [tex]4[/tex].

     Finding the y-intercept:

For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]

We know the slope is [tex]4[/tex] and we could use the ordered pair that they provided us with [tex](-6,-19)[/tex]. The -6 is the x and the -19 will be the y. Now let's plug in and solve.

[tex]y=mx+b\\-19=4(-6)+b\\-19=-24+b\\b=5[/tex]

     Writing the equation:

Now we know all the information needed to write the equation.

[tex]y=mx+b\\m=4\\b=5[/tex]

Now we just fill it in the formula...

[tex]y=4x+5[/tex]

Question 3:

For a parallel equation the slope will be the same in order for them to be parallel to each other.

     Finding the y-intercept:

For the y-intercept we need to plug in what we know into this formula....[tex]y=mx+b[/tex]

We know the slope is [tex]-\frac{1}{4}[/tex] and we could use the ordered pair that they provided us with [tex](-8,6)[/tex]. The -8 is the x and the 6 will be the y. Now let's plug in and solve.

[tex]y=mx+b\\6=-\frac{1}{4}(-8)+b\\6=2+b\\b=4[/tex]

     Writing the equation:

Now we know all the information needed to write the equation.

[tex]m=-\frac{1}{4}\\b=4[/tex]

Now we just fill it in the formula...

[tex]y=-\frac{1}{4}x+4[/tex]

Answer:

Plug in numbers.

Step-by-step explanation:

using the equation of a line, y=mx+b, m is slope and b is the y-intercept. y and x are the coordinates. So graph the line first. It has a slope of one and the y-intercept is -1. Then plug in numbers for the equation. Make sure they are reasonable.

Answer:

I'ts B, (5,2)

Step-by-step explanation:

It's B :)

Answer:

A

Step-by-step explanation:

the equation is the second one

Answer:

12

Step-by-step explanation:

got 100% right on edge 2020, hope this helped! <3

Answer:

its 12

Step-by-step explanation:

bc it is

Answer:

7 / 1

Step-by-step explanation:

0.¯7 = 0.7777.....

10x = 7.7777.....

9x = 0.7777.....

(-) (-)

___________

1x = 7

x = 7 / 1

Simplified fraction = 7 / 1.

Answer: 14

Step-by-step explanation: divide

Answer

a)no

Step-by-step explanation:

a)12-5(0)

=12 not 0

b)12-5(-1)

=17

c)12-5x=6

-5x=6-12

x=1.2

hope it helps:)

Evaluating the function, it is found that:

a) No, since [tex]f(0) = 12[/tex], as when we replace x by 0, the value of y is 12.

b) [tex]f(-1) = 17[/tex]

c) [tex]a = \frac{6}{5}[/tex]

The function given is:

[tex]f(x) = 12 - 5x[/tex]

Item a:

f(0) is given by:

[tex]f(0) = 12 - 5(0) = 12[/tex]

So it is not true, since [tex]f(0) = 12[/tex].

Item b:

[tex]f(-1) = 12 - 5(-1) = 12 + 5 = 17[/tex]

Item c:

This is the value of x when f(x) = 6, thus:

[tex]12 - 5x = 6[/tex]

[tex]5x = 6[/tex]

[tex]x = \frac{6}{5}[/tex]

Thus:

[tex]a = \frac{6}{5}[/tex]

A similar problem is given at https://brainly.com/question/24231879

Answer:

Angle 3 = 23 degrees  Angle 8 = 157 degrees

Step-by-step explanation:

Since Angle 2 and Angle 3 are vertical angles, they have the same value.

As you see for Angle 8, Angle 8 is vertical angles with Angle 5.

Angle 5 corresponds with Angle 1 which is the same value since these lines are parallel.

Angle 1 and Angle 2 added together will have a sum of 180.

So substitute Angle 5 for Angle 1.

Angle 5 + 23 =180

Angle 5 = 157 degrees

And we know Angle 5  = Angle 8

So Angle 8 = 157 degrees.

Answer

73

Step-by-step explanation:

Answer: Alexia completed 20 math problems and 10 science problems.

Answer:

C

Step-by-step explanation:

Answer:

I'm really good at graphing and math so anytime you need help tell me.

also there is no coordinate plane....

Step-by-step explanation:

By the way this anwser is not mine,I just want to help.The orginal anwser is here: https://brainly.com/question/8916711

We can write the information we know as ordered pairs.  The independent variable, or x, in this case would be the amount of time, and the dependent variable, or y, would be the amount of money.  This is because the amount of money charged changes depending on the amount of time.  This gives us the ordered pairs (3, 26) and (5, 42).  Using the formula for slope we have:

.  A slope of 8 tells us that the hourly rental is $8.  We can use this to back up and see what the rental fee is.  When renting the kayak for 3 hours, Jake paid 26.  We know that it costs $8 per hour; 8(3) = 24.  This leaves us 26-24=$2 for the rental fee.  The equation would then be

y = 8x + 2.

Writing this as a function would be f(x) = 8x + 2.

To graph this, we would label the x-axis as time (hours) and the y-axis as money (dollars).  We would go up to the y-intercept, 2, and plot our point.  (The y-intercept is 2 because in the form y=mx+b, b is the y-intercept; that's where our 2 is.)  From here, we know the slope is 8=8/1, so we would go up 8 and over 1 to the right to plot our next point.  Then we would draw our line between these two points.

Answer:

We can write the information we know as ordered pairs.  The independent variable, or x, in this case would be the amount of time, and the dependent variable, or y, would be the amount of money.  This is because the amount of money charged changes depending on the amount of time.  This gives us the ordered pairs (3, 26) and (5, 42).  Using the formula for slope we have:.  A slope of 8 tells us that the hourly rental is $8.  We can use this to back up and see what the rental fee is.  When renting the kayak for 3 hours, Jake paid 26.  We know that it costs $8 per hour; 8(3) = 24.  This leaves us 26-24=$2 for the rental fee.  The equation would then bey = 8x + 2.Writing this as a function would be f(x) = 8x + 2.To graph this, we would label the x-axis as time (hours) and the y-axis as money (dollars).  We would go up to the y-intercept, 2, and plot our point.  (The y-intercept is 2 because in the form y=mx+b, b is the y-intercept; that's where our 2 is.)  From here, we know the slope is 8=8/1, so we would go up 8 and over 1 to the right to plot our next point.  Then we would draw our line between these two points.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Its 11

Step-by-step explanation:

Jk its 2. Bro learn addition. XD

Answer:

the answer would be...

e^iπ = -1

2^57,885,161 - 1 is the largest known Mersenne prime number

2^43,112,609 - 1 is the second largest known Mersenne prime number

the greatest common divisor of any two integers which are coprime is 1 so

gcd(2^57,885,161 - 1, 2^43,112,609 - 1) =1

tan(π/4) = 1

So ((e^iπ/ gcd((2^57,885,161 - 1, 2^43,112,609 - 1))^2)

= (-1/1)^2 +1

= 1 + 1

^brainliest plz it took me awhile to type this XD^

Answer: First is Lot 1

Second is Lot 3

Step-by-step explanation:

Answer:

First answer is Lot 1

Second Answer is Lot 3

Step-by-step explanation:

Answer:

C. 20

Step-by-step explanation:

If 1 inch is 8 miles, 2.5 = 20 miles because 8 x 2 = 16 and .5 = 4 so 16+4 = 20

9514 1404 393

Answer:

See below. The "table below" refers to the second attachment.

Step-by-step explanation:

[tex]\boxed {\begin {array}{c|c|c}\underline {Binary} & \underline{Hex} & \underline{Decimal} \\ 0000 & 0 & 0 \\ 0001 & 1 & 2 \\ 0010 & 2 & 2 \\ 0011 & 3 & 3 \\ 0100 & 4 & 4 \\ 0101 & 5 & 5 \\ 0110 & 6 & 6 \\ 0111 & 7 & 7 \\ 1000 & 8 & 8 \\ 1001 & 9 & 9 \\ 1010 & A & 10 \\ 1011 & B & 11 \\ 1100 & C & 13 \\ 1101 & D & 14 \\ 1110 & E & 15 \\ 1111 & F & 16\end {array}}[/tex]

They want to know the change in y. They have given the lines, soo count how many they went up or down.

Whatever you get, that the answer.

The y value of each point moved ___ units ____ and ____ as I moved the slider.

The rate of change is 10.

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. The rate of change is equal to the change in y values divided by the change in the x-values.

For the given situation,

Bicycling involves  3 miles in 15 min and 7 miles in 55 min.

Here consider miles in x axis and minutes in y axis.

So, [tex](x1,y1) = (3,15)[/tex] and [tex](x2,y2)=(7,55)[/tex]

The rate of change is

⇒  [tex]\frac{y2-y1}{x2-x1}[/tex]

⇒ [tex]\frac{55-15}{7-3}[/tex]

⇒ [tex]\frac{40}{4}[/tex]

⇒ [tex]10[/tex]

Hence we can conclude that the rate of change is 10.

Learn more about rate of change here

https://brainly.com/question/1537800

#SPJ2

Setting up an equation to represent the scenario, we can conclude that Ben was 3 times older than Kathy 10 years ago.

Present age :

Serting up the equation thus :

Let the number of years = x

16 - x = 3(12 - x)

16 - x = 36 - 3x

Collect like terms

-x + 3x = 36 - 16

2x = 20

x = 10

Hence, Ben was 3 tines older than Kathy 10 years ago.

Learn more : https://brainly.com/question/25625086