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ch4aika [34]
3 years ago
7

Given the two expressions shown below:

Mathematics
2 answers:
alexgriva [62]3 years ago
5 0

Answer:

just here for da points babes have a nice night or day :p

Tanya [424]3 years ago
3 0
C is the answer c is the answer
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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
Evaluate the function at the given values<br> F(y) = 4y^4 - 6y^2 + 8y - 15<br> At y = 2
otez555 [7]
F(2)= 4(16) - 6(4) + 8(2) - 15
F(2)= 64 -24 + 16 - 15
F(2)= 41
7 0
3 years ago
Can anyone help me asap plzz.Solve the inequality. (a + 5.7 &gt; –2.3) (A)a &gt; 3.4 (B)a &gt; 8 (C)a &gt; –3.4 (D)a &gt; –8
Eduardwww [97]

Answer:

Solve the inequality. a + 5.7 > –2.3

(A)a > 3.4

(B)a > 8

(C)a > –3.4

<u>(D)a > –8</u>

Step-by-step explanation:

a+5.7>-2.3\\-5.7    \\a>-8

8 0
3 years ago
The contents of Dana's box of muffins is shown.
TiliK225 [7]
3/5 would be the answer because every 3 banana nut here is 5 corn
6 0
3 years ago
If the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?
Varvara68 [4.7K]
1. Find the centre of the circle or the midpoint of the two numbers
(6-6/2}, (-2+6/2)
(0, 2)
2. Find radius using the distance formula
√<span>(6 - 2)² + (-6 - 0)²
</span>√4² + (-6)²
√16 + 36
√52
r = 7.21
3. Plug in
x² + (y - 2)² = 52

So it is option D 99% sure
6 0
3 years ago
Read 2 more answers
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