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3 years ago

Find the slope of the graph of y=−45x−2.

Mathematics

1 answer:

andriy [413]3 years ago

7 0

Answer:

The slope in this equation is $45$ .

Step-by-step explanation:

Slope-intercept form: $y = mx + b$

m = slope

b = y-intercept

x = variable

$y = mx + b\\y = -45x -2$

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A plank is 6.7 feet long. Arachna wants to cut the plank into 0.8-foot pieces. how many 0.8-foot pieces can she get?

attashe74 [19]

Answer: 8

Step-by-step explanation:

You have to divide 6.7/0.8 and you'll get your answer. She'll be able to use 8 full pieces.

5 0

2 years ago

Find the value of x. Then find the measure of the red arc.

Elza [17]

Answer:

x = 70 degrees, red arc= 110 degrees

Step-by-step explanation:

x and 2x-30 added together is 180 degrees.

We can make an equation to find x,

x + (2x - 30) = 180

3x - 30 = 180

Add 30 to both sides to isolate x

3x = 210

By dividing both sides by 3, we get x = 70

Now we know the red arc is 2x - 30. We can plug x in because we know the value now.

2(70) - 30

140 - 30

Red Arc = 110 degrees

8 0

3 years ago

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p=−0.

n200080 [17]

By solving a quadratic equation, it can be verified that

The owl population will disappear after 329.12 years

What is a quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as quadratic equation.

Here, a quadratic equation needs to be solved

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p= $-0. 4t^2+128t+1,200$

For population to disappear, p =0

$-0. 4t^2+128t+1,200 = 0\\0.4t^2 -128t - 1200 = 0\\4t^2 - 1280t - 12000 = 0\\4(t^2 - 320 t - 3000) = 0\\t^2 - 320t -3000 = 0\\t = \frac{-(-320)\pm \sqrt{(-320)^2 - 4 \times 1 \times (-3000)}}{2 \times 1}\\t = \frac{320 \pm 338.23}{2}\\t = \frac{320 + 338.23}{2} \ or \ t = \frac{320 - 338.23}{2}\\t = 329.115 \ or \ t = -9.115$