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nikklg [1K]
4 years ago
13

Select the correct answer from each drop-down menu.

Mathematics
2 answers:
tresset_1 [31]4 years ago
5 0

Answer:

need the test point of the graph please

Step-by-step explanation:

Ymorist [56]4 years ago
4 0

Answer:

The graph represents the system of inequalities "4 x - y is less than or equal to 4 and 2 x - 2 y is less than or equal to 3" ⇒ 1.

Step-by-step explanation:

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

Blue line:

∵ The line passes through points (1 , 0) and (0 , -4)

- Find the slope of the line

∵ m = Δy/Δx

∴ m=\frac{0--4}{1-0}=\frac{4}{1}

∴ m = 4

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

   y-intercept (value y at x = 0)

∵ y = -4 at x = 0

∴ b = -4

- Write the equation of the line

∴ y = 4 x - 4

∴ The equation of the blue line is y = 4 x - 4

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

  y is greater than or equal 4 x - 4

∴ The inequality of the blue line is y ≥ 4 x - 4

Red line:

∵ The line passes through points (1.5 , 0) and (0 , -1.5)

- Find the slope of the line

∴ m=\frac{0--1.5}{1.5-0}=\frac{1.5}{1.5}

∴ m = 1

∵ y = -1.5 at x = 0

∴ b = -1.5

- Write the equation of the line

∴ y =  x - 1.5

- Multiply the both sides by 2

∴ The equation of the red line is 2 y = 2 x - 3

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

  y is greater than or equal 2 x - 3

∴ The inequality of the red line is 2 y ≥ 2 x - 3

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

First answer:

∵ 4 x - y ≤ 4

- Add y to both sides

∴ 4 x ≤ 4 + y

- Subtract 4 from both sides

∴ 4 x - 4 ≤ y

- That means 4 x - 4 is less than or equal y that means y

    is greater than or equal 4 x - 4

∴ y ≥ 4 x - 4 ⇒ same with first inequality above

∵ 2 x - 2 y ≤ 3

- Add 2 y to both sides

∴ 2 x ≤ 3 + 2 y

- Subtract 3 from both sides

∴ 2 x - 3 ≤ 2 y

- That means 2 x - 3 is less than or equal 2 y that means 2 y

    is greater than or equal 2 x - 3

∴ 2 y ≥ 2 x - 3 ⇒ same with second inequality above

The graph represents the system of inequalities "4 x - y is less than or equal to 4 and 2 x - 2 y is less than or equal to 3"

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You can buy DVDs at a local store for 15.59 each. You can buy them at on online store for 13.99 each plus $6 shipping. How many
dalvyx [7]
Local(L) = 1 x (15.99)
Online(O) = (1 x 13.99) + 6

So use that equation until you find the same number.

L1=15.99
O1=19.99

L2=31.98
O2=33.98

L3=47.97
O3=47.97

And your answer will be three from local and three from online.
8 0
3 years ago
Solve the following system of equations. Show all work and solutions.
Hitman42 [59]
  • y=2x²+6x+1
  • y=-4x²+1

Make the equations equal and solve for x

  • 2x²+6x+1=-4x²+1
  • 6x²+6x=0
  • 6x(x+1)=0
  • 6x=0 or x+1=0
  • x=0 or x=-1

For x=0

  • y=-4(0)+1=1

For x=-1

  • y=-4(1)+1=-3

The solutions are

  • (0,1) and (-1,-3)

Graph attached

4 0
2 years ago
When it was Tess' turn in the "Guess my number game, the gloves were off! She gave Davis the following 10 clues:
astra-53 [7]

The number is 999777888.

S<u>tep-by-step explanation:</u>

Reaching to the answer by solving the clues one by one.

The number is a 9 digit whole number. So it has to be 0 or greater than 0

The number is even .So its last digit will be even.

Each of the digit appears exactly thrice. So there will be three digits used three times each in the number.

Each digit is greater than 6. So there will be no digits less than 7 in the number.

All the digits in each period are same. So a period of three adjacent digits will have same the same digit.for ex.777 is  a period

The number is greater than 7. So the digit in the millions place and higher is 9.

The number is divisible by 3. So the sum of all the digits should be divisible by 3.

The number is divisible by 4. So the number formed by last two digits of the number should be divisible by 4.

Thousands digit is 7.

The number that satisfies all the given conditions is 999777888.

5 0
3 years ago
Write the standard equation of the circle shown.
zysi [14]

Answer:

b

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ← r is the radius

The circle shown is centred at the origin and has a radius of 5, thus

x² + y² = 5² ⇒ x² + y² = 25 → b

4 0
3 years ago
8) A pyramid has a rectangluar base with length 12 km and width of 5 km. If the volume is 200
SashulF [63]

Hi there!

\large\boxed{h = 10km}

We know that the equation for the volume of a pyramid is:

V = 1/3(bh)

We know that:

V = 200 km³

b = 12 × 5 = 60 km²

We can plug these into the equation:

200 = 1/3(60)(h)

Simplify:

200 = 20h

Divide both sides by 20:

200/20 = 20h/20

h = 10 km

6 0
3 years ago
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