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2 years ago

What is the slope of the line?

Mathematics

1 answer:

Talja [164]2 years ago

3 0

Answer:

Step-by-step explanation:

The line intersects at (0, -3) and (2, 1). Slope is m. $m= \frac{y2 - y1}{x2 - x1}$

Sub your values in. $\frac{1--3}{2-0} or \frac{4}{2} or \frac{2}{1}$

Your slope is 2.

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4^3 · 4-^6 Simplified A) 4-3 B) 4-9 C) 4-18 D) 43

Triss [41]

4^3 · 4-^6

= 4^(3 + (-6))

= 4^-3

Answer

A) 4^-3

8 0

2 years ago

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Describe this number line and the numbers and fractions shown.

Mariana [72]

Answer:

The number line goes from negative two to two.

The numbers shown by the number line (-2, -1, 0, 1 and 2) are all integers.

Between each pair of numbers, there are 4 equal segments, each one of 1/4 = 0.25 units length. Therefore we can locate, for example, 1.25, 0.5 and -0.75 at the number line.

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3 years ago

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At the beginning of the week Fayez writes drown the mileage of his limousine - 2529 At the end of the week the mileage is 2834,

Alexandra [31]

2834 - 2529 = 305 miles traveled
75.2 / 4.64 = 16.4 gallons used
305 / 16.4 = 18.5 miles per gallon
The limo did not use 1 gallon every 20 miles.
The limo used 1 gallon every 18.5 miles

4 0

3 years ago

Please help me find the answer pls

fiasKO [112]

Answer:

A. Solutions are: x = 2, y = 1.

B. Solutions are: x = 3, y = 2.

1. Inconsistent

2. Inconsistent

3. Consistent

Step-by-step explanation:

A. Solutions of each system of linear equations by substitution method:

Equation 1: 3x - 2y = 4

Equation 2: x = 2y

Step 1: Substitute x = 2y into the Equation 1:

3(2y) - 2y = 4

6y - 2y = 4

4y = 4

Step 2: Divide both sides of the equation by 4 to isolate y:

$\frac{4y}{4} = \frac{4}{4}$

y = 1.

Step 3: For Equation 2, x = 2y, substitute y = 1 into the equation to solve for x:

x = 2y

x = 2(1)

x = 2

Therefore, the solutions are: x = 2, y = 1.

B. Find the solutions of each system of linear equations by elimination method:

Equation 1: 2x + y = 8

Equation 2: x + y = 5

Step 1: Multiply Equation 2 by 2:

2(x + y) = 5(2)

2x + 2y = 10

Step 2: Subtract Equation 1 from the equation derived from Step 1, 2x + 2y = 10:

2x + 2y = 10

- 2x + y = 8

y = 2

Step 3: Plug in y = 2 into Equation 1, 2x + y = 8 to solve for x:

2x + y = 8

2x + (2) = 8

Step 4: subtract both sides of the equation by 2 to isolate x:

2x + 2 - 2 = 8 - 2

2x = 6

Step 5: Divide both sides of the equation by 2 to solve for x:

$\frac{2x}{2} = \frac{6}{2}$

x = 3.

The solutions are: x = 3, y = 2.

1. Inconsistent

2. Inconsistent

3. Consistent (infinitely many solutions)

3 0

2 years ago

3. Four chicken nuggets have 180 calories. How many calories are in 9 chicken

Lemur [1.5K]

Hey there! :)

Answer:

405 calories.

Step-by-step explanation:

To solve, we can create a proportion.

We are given that 4 nuggets is equivalent to 180 calories, therefore:

$\frac{180cal}{4}= \frac{xcal}{9}$

Cross multiply:

9 · 180 = 4 · x

1620 = 4x

Divide both sides by 4:

x = 405 calories.

8 0

2 years ago

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