Find the y intercept of a line with a slope of -4 and point (2,1)

The function y = x^2 is an exponential function. True or Falso

makkiz [27]

Answer:

True

Step-by-step explanation:

Exponential function means a function of a power. In this example, x is the function and 2 is the power.

8 0

3 years ago

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A 3. On a recent shopping trip, you see a sale advertising 4 pairs of socks and 3 pairs of shoes for $90. Write an equation usin

Mamont248 [21]

The correct answer is D) 4x + 3y = 90.

x = pairs of socks
y = pairs of shoes
90 = total cost of the sum of socks and shoes

Combining these with the given quantities for each variable:

4x + 3y = 90

6 0

2 years ago

Marco can run 250 feet in 30 seconds. At the same rate, how many seconds will it take him to run 1 mile?

Lapatulllka [165]

At the same rate, it will take 638.3 seconds to run 1 mile.
hope it helps you .

6 0

3 years ago

what is the equation of the line that passes through (-2,-3) and is perpendicular to 2x-3y=6? ...?

sergij07 [2.7K]

The equation given in the question is

2x - 3y = 6
Dividing both sides of the equation by 3, we get
2/3 x - y = 2
y = 2/3 x - 2
Then, from the above equation we can tell that the slope of the line in the graph is 2/3. The slope of a line perpendicular to this slope will be - 3/2. The line also contains the points (-2,-3).
Then, the equation of the perpendicular line will be
y = mx + b
- 3 = (- 3/2)(- 2) + b
- 3 = 3 + b
b = - 6
Then
y = (-3/2)x - 6
y + 6 = (- 3/2)x
2y + 12 = - 3x
3x + 2y = - 12

4 0

3 years ago

⦁ Determine if the equation represents a direct variation. .8x = 1.6y ⦁ Suppose y varies directly with x. Write a direction vari

Mkey [24]

Part A:

Given that

$0.8x=1.6y\Rightarrow x= \frac{1.6}{0.8} y=2y$

Thus, x = ky where k = 2.

Therefore, the given equation is a direct variation.

Part B:

If y varies directly as x, then y = kx.

Given that y = 5 when x = 2, then

$5=2k \\ \\ \Rightarrow k=\frac{5}{2} =2.5 \\ \\ \Rightarrow y=2.5x$

When x = 12, y = 2.5(12) = 30.

Part C:

If y varies directly as x, then y = kx.

Given that y = 9 when x = -6, then

$9=-6k \\ \\ \Rightarrow k=-\frac{9}{6} =-\frac{3}{2} \\ \\ \Rightarrow y=-\frac{3}{2}x$

It can be seen that the equation above satisfies all the rows of the given table, therefore, y varies with x for the data in the question and the equation for the direct variation is $y=-\frac{3}{2}x$

Part 4:

If y varies directly as x, then y = kx.

Given that y = 1 when x = -2, then

$1=-2k \\ \\ \Rightarrow k=-\frac{1}{2} \\ \\ \Rightarrow y=-\frac{1}{2}x$

It can be seen that the equation above does not satisfies the other rows of the given table, therefore, y does not vary with x for the data in the question.

8 0

3 years ago

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