All categories

3 years ago

Select the equation in which the graph of the line has a negative slope, and the y-intercept equals 50.

2 answers:

8 0

Convert each one to the form y = mx + b where m=slope and b = y-intercept.

(a) 5y = 10x - 40

y = 2x - 8 m= 2 (positive slope) and y-intercept = -8 so its not (a)

zepelin [54]3 years ago

8 0

Answer:

The answer that represent a negative slope and a y-intercept 50 is letter C.

Step-by-step explanation:

The answers are represented like a general equation Ax + By + C = 0, so you need to clear "y" to find slope-intercept form of a line y=mx+b, where m is the slope and b is the intercept, so if you clear:

a) y = (10x - 40)/5 .... in this ecuation the slope is positive and the ininterception 40 negative.

b) y = (5x +12)/10 .... in this ecuation the slope is positive and the interception 12 positive.

d) y= (x-10)/2 .... in this ecuation the slope is positive and the interception 10 negative.

c) y = 50 - 5x, in this ecuation the slope is negative, and the interception 50 positive, so this is the correct answer.

You might be interested in

This is the graph of f(x). What is the value of f(3)?

Paul [167]

Answer:

The value of f(3) is 8 ⇒ D

Step-by-step explanation:

In the function f(x) = y, y is the corresponding value of x

Ex: If f(a) = b, then the value of y = b at x = a

Let us solve the question

∵ The given figure represents the function f(x)

→ That means every point on the graph represents f(x) = y

∴ f(x) = y

∵ We need to find f(3)

→ That means we need the value of y at x = 3

∴ x = 3

Look at the graph and find the y-coordinate of the point that lies on the curve and has x-coordinate = 3

→ Each small square on the x-axis represents 1 unit, and on the y-axis

represents 2 units

∵ There is a point on the graph that has x-coordinate = 3

∵ The y-coordinate of this point is 8

∴ The point (3, 8) lies on the graph of f(x)

∴ x = 3 and y = 8

∴ f(3) = 8

∴ The value of f(3) is 8

7 0

3 years ago

If \$z_1=3+2i\$ and \$z_2=4+3i\$ and are complex numbers, find \$z_1z_2\$

Mice21 [21]

Answer:

Step-by-step explanation:

3 0

3 years ago

A square has a side length equal to 5x-3y inches. What is the area of this square

erastovalidia [21]

Answer:

Step-by-step explanation:

The area is the product of 2 adjacent sides:

Area = (5x - 3y)(5x - 3y) as the sides of a square are all equal.

= 5x(5x - 3y) - 3y(5x - 3y)

= 25x^2 - 15xy - 15xy + 9y^2

= 25x^2 - 30xy + 9y^2.

5 0

3 years ago

Helpppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Kruka [31]

Answer:

2,4

The answer is 2,4

5 0

3 years ago

Read 2 more answers

Suppose the sediment density (g/cm) of a randomly selected specimen from a certain region is normally distributed with mean 2.65

Verizon [17]

A) 0.9803; 0.4803
B) 32

We calculate the z-score for this problem by using the formula:

$z=\frac{X-\mu}{\frac{\sigma}{\sqrt{n}}}$

Using our formula, we have:

$z=\frac{3.00-2.65}{\frac{0.85}{\sqrt{25}}}=2.06$

Using a z-table (http://www.z-table.com) we see that the area to the left of, less than, this score is 0.9803.

To find the probability it is between the mean and this, we subtract the probability associated with the mean (0.5) from this:
0.9803 - 0.5 = 0.4803.

To find B, we first find the z-score for this. Using a z-table (http://www.z-table.com) we see that the closest z-score would be 2.33. We then set up our equation as

$2.33=\frac{3.00-2.65}{\frac{0.85}{\sqrt{n}}}=\frac{0.35}{\frac{0.85}{\sqrt{n}}}
\\
\\2.33=0.35\div \frac{0.85}{\sqrt{n}}=0.35\times \frac{\sqrt{n}}{0.85}$

Multiplying both sides by 0.85 we have
2.33(0.85) = 0.35√n
1.9805 = 0.35√n

Divide both sides by 0.35:
1.9805/0.35 = √n

Square both sides:
(1.9805/0.35)² = n
32 ≈ n

8 0

3 years ago