What are the gradients (slopes) and y-intercepts of these lines, please?​

Answer:

The graph will change by simply having an increased slope of 16 instead of 15.

Step-by-step explanation:

For this problem, we will consider the initial case as stated by the problem where the joining fee is $20 and each book is $15.  Let x represent the number of books that we have purchased.  Then, we can write the following function to represent the cost of this club.

f(x) = 15x + 20

Note, if x = 0, meaning we have no books, then

f(0) = 15(0) + 20

f(0) = 0 + 20

f(0) = 20

Which is the cost of our joining fee.  If x = 1, meaning we have 1 book, then

f(1) = 15(1) + 20

f(1) = 15 + 20

f(1) = 35

Which is the cost of our joining fee and 1 book, which matches our graphed function.

Now, let's consider that the cost of the book is $16 instead of $15 ("the cost per audio book goes up by $1.00").  Then we can modify the slope of our function to reflect this change giving us the new function:

g(x) = 16x + 20

In this new function, our slope increased from 15 to 16, to account for the increase in cost, but our initial 20 remained the same.

So the graph will change by simply having an increased slope of 16 instead of 15.

Cheers.

Answer:

The new function will have a steeper slope, so...

Step-by-step explanation:

Le: t  x ----> the number of audio books purchased

y ---->the cost of belonging to the club in dollars

case 1 (Originally) :

y = 15x + 20

case 2 ( the cost per audio book goes up by $1.00) :

y= (15+1)x+ 20

y = 16x + 20

The slope of the new function is greater than the slope of the original function    

The new function will have a steeper slope:

16  $/ audio book > 15 $/audio book

Answer:

hii

x=30

Step-by-step explanation:

x+3x+5x-90=180

9x=270

x=30

slope of line perpendicular to the line y=-1/4x-1 is 4.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us write the given equation  y=-1/4x-1

If we compare the given equation with slope intercept form

We get to know slope of line m is -1/4.

It two lines are perpendicular then the product of their slopes will be -1

-1/4×m=-1

m=4

Hence slope of line perpendicular to the line y=-1/4x-1 is 4.

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Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (0, 3)

m = [tex]\frac{3+1}{0+1}[/tex] = [tex]\frac{4}{1}[/tex] = 4

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = 4x + 3 ← equation of line

Answer:

fortnite is garbo

Step-by-step explanation:

Answer:

tsa

Step-by-step explanation:

tsa of cube is 6a²

so

64cm²=6a²

Answer:

96 cm²

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the side length )

Here V = 64 , thus

s³ = 64 ( take the cube root of both sides )

s = [tex]\sqrt[3]{64}[/tex] = 4

A cube has 6 congruent square faces.

The area of 1 face = s² = 4² = 16 cm², thus

area of 6 faces = 6 × 16 = 96 cm² ← surface area

The scale factor from triangles ABC to XYZ IS 6.

Option A is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

ΔABC and ΔXYZ

The corresponding sides are:

AB = XY

BC = YZ

AC = XZ

Now,

We see that,

XY = 6 x AB

YZ = 6 x BC

XZ = 6 x AC

So,

The scale factor is 6.

Thus,

The scale factor from triangles ABC to XYZ IS 6.

Learn more about scale factors here:

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Answer: Proportional

Step-by-step explanation: When to corresponding sides of different triangles are alike, they are considered to be proportional.

Answer:

that will be 12

Step-by-step explanation:

Answer:

-54/9=-6

Step-by-step explanation:

When doing this division we need to take a couple of things into account. First, notice we are dividing a negative number into a positive number, therefore our answer must be negative.

Second, notice that 9 fits 6 time into 54, therefore:

-54/9=6

We can look at this graphically, if we have 54 squares and divided them in groups of 9, we would get 6 groups of 9 in total.

See attached picture.

Answer:.

Step-by-step explanation:

Answer:

I think it is 14 Feet

Step-by-step explanation:

Because if we multiply 14 by 14 we will get 196 I also did this test and that is what I put. I hope this helps      

Answer:

If equal to 90 x is 4

Step-by-step explanation:

Answer:

x=2, y=1

Step-by-step explanation:

Add:

2x+4y=8

+10x-4y=16

------------------

12x=24

Divide by 12 on both sides:

x=2

Substitute x with 2 on either 2x+4y=8 or 10x-4y=16 it doesn't matter it will result in the same answer.

(I will do both of them to prove it but you only need to replace x with one of the equation)

For 2x+4y=8

2(2)+4y=8

4+4y=8

Subtract 4 on both sides

-4+4+4y=8-4

4y=4

Divide 4 on both sides:

y=1

For 10x-4y=16

10(2)-4y=16

20-4y=16

-20+20-4y=16-20

-4y=-4

Divide -4 on both sides:

y=1

The answer for both 2x + 4y = 8 and 10x – 4y = 16 are the same showing that it doesn't matter which equation you replace the number with it will still result you in the same answer

Hope this helps!

Answer:

one solution

Step-by-step explanation:

once you solve it, x equals 0

Answer:

I GOT YOU GIRLLL!!

= D. 10.4cm

Step-by-step explanation:

a^2+ b^2=c2

3^2+10^2=c2

9+100=c2

109=c2

[tex]\sqrt{109}[/tex] = [tex]\sqrt{c^{2} }[/tex]

10.4=c

Answer:

4 students in each table

Step-by-step explanation:

24 students

6 desks

24 students split into 6 groups

24 divided by 6

= 4

4 students in each table

Answer: f(x) = -cos(x) + 4.584

Step-by-step explanation:

we know that f'(x) = sin(x)

if we integrate that, we get:

f(x) = -cos(x) + C

Where C is a constant of integration.

And we also want that:

f(2) = 5

with that relationship we can find the value of C.

f(2) = 5 =  -cos(2) + C

(The calculation is done in radians)

        5 = -(-0.416) + C

       5 - 0.416 = C = 4.584

Then the function is:

f(x) = -cos(x) + 4.584

Answer:

-4/5

Step-by-step explanation:

write the given equation in y=mx+b form, where m is the slope

10x-8y=-80

-8y= -10x-80 divide both sides by -8

y=(10/8)x+10

y=(5/4)x+10

m= 5/4 is the slope of the given function

the slope of an equation that is perpendicular is the negative reciprocal of the given one so is

m= -4/5

Answer:

c + 0.5b =700 and c + b =1,000 I think

Answer:

c+b=1000

Step-by-step explanation:

This problem can be solved by process of elimination. If the end weight is 1000, then at the equal sign, it should also be 1000. Since the last option is the only one with 1000, then it would be the only correct option.

So, with percentages the easiest way is to multiply the 42200 by 0.11. After that you get (4642.00) < Answer to A  so you add 42200 to 4642 to get the new price. That should bring you to (46842.0) < Answer to B

Answer: y − 6 = 5 ⋅ ( x − 1 )

Step-by-step explanation:

Answer: y − 6 = 5 ⋅ ( x − 1 )

Step-by-step explanation: becuase i got the awnser right on the question

Answer:

7

Step-by-step explanation:

Multiply the first collum by 7. It's basically unit rates

Answer:

7

Step-by-step explanation:

let the left column be x

let the right column be y

x is being multiplied by 7

so the ratio would be 7x=y

Answer:

Step-by-step explanation:

??? do you need help or is this free points?

Answer:

2) cause both of them is the same thing

3) Side angle side

4) cpct (corresponding part of congruent triangles)

Answer:

X÷-9=-16 x=144