Compare the function represented on the graph and the function modeled by y = 2/3 x .

(y+3):(y+5)=k:1 show that y=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5k-3%7D%7B1-k%7D" id="TexFormula1" title="\frac{5k-3

Afina-wow [57]

Answer:

see explanation

Step-by-step explanation:

Express the ratios in fractional form, that is

$\frac{y+3}{y+5}$ = $\frac{k}{1}$ ( cross- multiply )

y + 3 = k(y + 5) ← distribute

y + 3 = ky + 5k ( subtract ky from both sides )

y - ky + 3 = 5k ( subtract 3 from both sides )

y - ky = 5k - 3 ← factor out y from each term on the left side

y(1 - k) = 5k - 3 ← divide both sides by (1 - k)

y = $\frac{5k-3}{1-k}$

8 0

2 years ago

How do you do this? I need to know the measurements of all the angles that are labeled

nekit [7.7K]

Im assuming that's a regular octagon. The sum of the angles in an octagon is 1080, so that means each individual angle is 135.

m<1 = 135.

Not completely sure how to get the others. Is there any information on the triangles or the octagon that isn't included in the picture? Lmk if you do and I can solve the rest

4 0

4 years ago

If angle a and b are complementary and angle a = 5x+2 what is angle b

Agata [3.3K]

x=8.6 is that what you looking for?

8 0

3 years ago

the middle School golf team is selling golf balls to raise $850 for new equipment they sell golf balls for $2 each a case has 24

aniked [119]

Answer:

The number of cases of golf ball that team needed to raise money for equipment is 3 .

Step-by-step explanation:

Given as :

The amount needed for new equipment = $850

The cost of each golf ball = $2

The number of packs of golf ball in each case = 24

The number of golf ball in each pack = 6

Let The number of cases of golf ball team needed to raise money for equipment = n cases

Now, According to question

∵ 1 pack has 6 balls

so, 24 pack has 6 × 24

i.e 24 packs has 144 balls

So, The number of balls in each case` = 144 balls

Again

∵ cost of 1 ball = $2

So, cost of 144 balls = $2 × 144

i.e cost of 144 balls in each case = $288

Again

∵ The amount needed for new equipment = $850

So, The number of cases of golf ball team needed to raise money for equipment = $\dfrac{amount needed for new equipmen}{cost of 144 balls in each case }$

Or, n = $\dfrac{850}{288}$

∴ n = 2.9 ≈ 3

So, The number of cases of golf ball that team needed to raise money for equipment = n = 3

Hence, The number of cases of golf ball that team needed to raise money for equipment is 3 . Answer

3 0

3 years ago

Frank made a New Years resolution to get into better shape. He decides to join LA fitness. He has to pay a one-time enrollment f

professor190 [17]

Answer: an equation that represents the total costs of the gym membership based on the number of months is

y = 25x + 50

Step-by-step explanation:

Let x represent the number of months that Frank makes use of the gym at LA fitness in order to get better in shape.

Let y represent the total cost of using the gym for x months.

He has to pay a one-time enrollment fee of $50 and then membership costs $25 per month. This means that the total cist for x month would be

y = 25x + 50

8 0

4 years ago