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stiv31 [10]
3 years ago
5

Find the X and Y intercepts of the graph x + 3y = 13​

Mathematics
1 answer:
Luden [163]3 years ago
5 0

Answer: x-intercept 13,0 y 0, \frac{13}{3}

Step-by-step explanation:

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Amber went on a road trip over winter vacation. She recorded how far she had traveled in the table below in relation to the numb
svlad2 [7]

Answer:

B

Step-by-step explanation:

it shows every 4 hours, so:

560-336=224

224:4=56 per hour

6 0
2 years ago
Which system of inequalities is represented by the graph?
timofeeve [1]

Answer:

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

∵ The line passes through points (5 , 0) and (0 , 2.5)

- Find the slope of the line

∵ m = Δy/Δx

∴ \frac{0-2.5}{5-0}=\frac{-2.5}{5}

∴ m = -0.5

- The form of the equation is y = m x  + b, where b is the

   y-intercept (value y at x = 0)

∵ y = 2.5 at x = 0

∴ b = 2.5

- Write the equation of the line

∴ y = - 0.5 x + 2.5

- Multiply both sides by 2

∴ The equation of the blue line is 2 y = - x + 5

- The shading is under the line and the line is solid, that means

  2 y is less than or equal - x + 5

∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

- Find the slope of the line

∴ m=\frac{-5-4}{3-0}=\frac{-9}{3}

∴ m = -3

∵ y = 4 at x = 0

∴ b = 4

- Write the equation of the line

∴ y =  -3 x + 4

∴ The equation of the red line is y = -3 x + 4

- The shading is below the line and the line is solid, that means

  y is less than or equal -3 x + 4

∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

∵ 2 y ≤ - x + 5

- Add x to both sides

∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

∵ y ≤ -3 x + 4

- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4" is represented by the graph

4 0
3 years ago
I need help on finding the area of a parallelogram
Hoochie [10]

Answer:

1. 540 sq. ft.   2. 7,200 sq. m.   3. 276 sq. yd.   4. 6,000 sq. mm.

Step-by-step explanation:

You find the area of a parallelogram by doing the same as you would a rectangle, multiplying length by width. (If you imagine slicing off the triangle shape on the end of all of these and putting it on the other side, it will always make a rectangle.)

6 0
3 years ago
Write the ratio 48:30:42 in its simplest form​
Zielflug [23.3K]
Answer- 8:5:7

Explanation:
Find the greatest common factor for all of them. Which is 6.
Then you just divide each number by 6
48/6= 8
30/6= 5
42/6= 7
Making it 8:5:7
7 0
2 years ago
F(x) = 2x² + 2, find f(5).?​
Romashka-Z-Leto [24]

Answer:

sorry if i got it wrong but i think its  22 if f5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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