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enyata [817]
3 years ago
12

What are the x and y-intercepts of the line described by the equation? 3x−9y=10.8

Mathematics
1 answer:
marysya [2.9K]3 years ago
3 0

3x-9y=10.8\\\\x-intercept\ for\ y=0:\\\\3x-9(0)=10.8\\\\3x-0=10.8\\\\3x=10.8\qquad\text{divide both sides by 3}\\\\\boxed{x=3.6\to(3.6,\ 0)}\\\\y-intercept\ for\ x=0:\\\\3(0)-9y=10.8\\\\0-9y=10.8\\\\-9y=10.8\qquad\text{divide both sides by (-9)}\\\\\boxed{y=-1.2\to(0,\ -1.2)}

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4/5 - 2/3 =<br> Find equivalent fractions and rewrite the problem and solve
Georgia [21]

Answer:

1001/1500

Step-by-step explanation:

The easiest method for doing this is to just average the two numbers.

e.g. to find a number x between the two numbers ab and cd

x=12[ab+cd]

=12[adbd+bcbd]

=ad+bc2bd

In this case…

x=(2×5)+(3×4)2×2×5=10+1230=2230=1115

You can easily see where that came from.

23=1015 and 45=1215

and the ‘common denominator’ means you just have to pick a value between 10 and 12 . i.e. 11

But you can also say…

23=100150 and 45=120150

and choose any of 101150,102150,...,119150

or

23=10001500 and 45=12001500

and choose any of 10011500,10021500,...,11991500

5 0
3 years ago
Solve the system of equations. y = x + 2, y = x2 + 7x + 10
Monica [59]

Answer:

(- 2, 0 ) and (- 4, - 2 )

Step-by-step explanation:

Given the 2 equations

y = x + 2 → (1)

y = x² + 7x + 10 → (2)

Since both equations express y in terms of x we can equate them, that is

x² + 7x + 10 = x + 2 ( subtract x + 2 from both sides )

x² + 6x + 8 = 0 ← in standard form

(x + 2)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 4 = 0 ⇒ x = - 4

Substitute these values into (1) for corresponding values of y

x = - 2 : y = - 2 + 2 = 0 ⇒ (- 2, 0 )

x = - 4 : y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )

Solutions are (- 2, 0 ) and (- 4, - 2 )

5 0
4 years ago
Macy's is having a one-day 35% off special. If Sara bought $124.50 worth of items, what would the final bill total after applyin
34kurt

The final bill after applying discount will be $80.92

Step-by-step explanation:

Given,

Worth of items bought by Sara = $124.50

Discount = 35%

Amount of discount = 35% of worth of items

Amount of discount = \frac{35}{100}*124.50

Amount of discount = 0.35*124.50

Amount of discount = $43.575 = $43.58

Final bill = Worth of items - Amount of discount

Final bill = 124.50 - 43.58 = $80.92

The final bill after applying discount will be $80.92

Keywords: subtraction, percentage

Learn more about subtraction at:

  • brainly.com/question/11680012
  • brainly.com/question/11705002

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
Express 48 as a percentage of 155.
Butoxors [25]
30.97 48 is what percent of 155? = 30.97.
7 0
3 years ago
Read 2 more answers
90% of the students in a high school have a cell phone. if there are 750 students in the school, how many of the students have c
kaheart [24]

Answer:

675

Step-by-step explanation:

750 gets turned into 7.50, or 7.5. Then you multiply 7.5 by 90 to get your answer

8 0
4 years ago
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