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3 years ago

What are the slope and the y-intercept of the linear function that is represented by the equation y = negative 10 x + 1?

Mathematics

2 answers:

ser-zykov [4K]3 years ago

3 0

Answer:

gradient = -10

y intercept = 1

Step-by-step explanation:

y = mx + b

y = -10x + 1

m = slope ; hence, slope = -10 in the eqn

y intercept = when x = 0

y = -10(0) + 1

y = 1

antoniya [11.8K]3 years ago

3 0

Answer:

Step-by-step explanation:

Our equation is y = -10x + 1. Notice that this is of the form y = mx + b, which is called the slope-intercept form because it literally gives us the slope and y-intercept in the equation:

- m: this is the slope value

- b: this is the y-intercept

Here, m = -10, which means the slope is -10. Also, b = 1, so the y-intercept is 1.

Thus, the answer is B.

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3 years ago

The area of a circle is 43.25cm2.<br> Find the length of the radius rounded to 2 DP.

Monica [59]

Answer:

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Step-by-step explanation:

Hi there!

Area of a circle equation: $A=\pi r^2$ where r is the radius

Plug in the area 43.25 cm²

$43.25=\pi r^2$

Divide both sides by π to isolate r²

$\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2$

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3 years ago

Graph each piecewise function. Then identify the properties.

Alexxx [7]

Answer:

Domain: (-∞, -2) U [-2, 1] U (1, ∞)

Range: (-∞, 2) U [-3, -∞)

Step-by-step explanation:

This function is composed of three polynomial functions, a positive slope line $m = \frac{1}{2}$ , whose domain is all real numbers, a horizontal line, and a negative slope line $m = -1$ whose domain is all real numbers.