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3 years ago

How to tell whether a slope is positive negative zero or undefined?

1 answer:

7 0

When the gradient of the slope is negative or positive, the slope is negative or positive respectively.
or if u wanna tell by looking at the straight line graph, then if it makes an acute angle with the x-axis it's positive, if it makes an obtuse angle with x-axis its negative.
the slope is zero when the graph is horizontal
then slope is undefined when eh graph is vertical.
hope this helps

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Help please with algebra

KIM [24]

Answer:

c,d

Step-by-step explanation:

$ab^{-3x}=a(b^{-3})^x=a(\frac{1}{b^3} )^x=a[(\frac{1}{b} )^3]^x\\=a(\frac{1}{b} )^{3x}$

4 0

2 years ago

Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shap

pogonyaev

Answer:

Rate of increase in height = $\frac{dh}{dt}=0.3156ft/min$

Step-by-step explanation:

we know that volume of a cone is given by

$V=\frac{1}{12}\pi d^{2}h$

It is Given that diameter equals height thus we have

$V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}$

Differentiating both sides with respect to time we get

$\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})$

Applying values and solving for $\frac{dh}{dt}$ we get

$\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min$

8 0

3 years ago

Write a polynomial function in standard form with given zero x=2,-1,-5

LekaFEV [45]

Answer:

Done below!

Step-by-step explanation:

(x - root)

(x - 2)(x - (-1))(x - (-5)) = (x - 2)(x + 1)(x + 5)

$(x^{2} +x-2x-2)(x+5)=(x^{2} -x-2)(x+5)=x^{3}+5x^{2}-x^{2} -5x-2x-10\\\\=x^{3}+4x^{2} -7x-10$

4 0

3 years ago

Suppose the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an in

zepelin [54]

Answer:

average yearly salary of an individual whose final degree is a masters: $ 66 thousand

average yearly salary of an individual whose final degree is a bachelors: $ 56 thousand

Explanation:

You can set a system of equation using the following steps:

1. Name the variables:

average yearly salary of an individual whose final degree is a masters: x

average yearly salary of an individual whose final degree is a bachelors: y

2. Set the equations that relate the variables:

the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:

equation (1): x = 2y - 46

combined, two people with each of these educational attainments earn $122 thousand:

equation (2): x + y = 122

3. Solve the system:

x = 2y - 46 . . . equation (1)

x + y = 122 . . . equation (2)

Substitute equation (1) into equation (2)

2y - 46 + y = 122

Solve for y:

3y = 122 + 46

3y = 168

y = 168 / 3

y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).

Subsitute the value on y in equation 1, to find the value of x:

x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.

Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.

4 0

3 years ago

NEED HELP! ASAP! 50 POINTS!

Lerok [7]

Answer:

$y=13\text{ miles per gallon}$

Step-by-step explanation:

We have the two points: (0, 11) and (3, 50).

And we want to find the rate of change in y relative to x, where x is the gallons and y is the miles.

In simple terms, we want to find the slope between the two points.

So, let's use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let (0, 11) be (x₁, y₁) and let (3, 50) be (x₂, y₂). Substitute. Let's also put "miles" in the numerator with the Ys and "gallons" in the denominator with the Xs. This yields:

$y=\frac{50-11\text{ miles}}{3-0\text{ gallons}}$

Subtract and reduce:

$y=39\text{ miles}/3\text{ gallons}=13\text{ miles per gallon}$

And we're done!

6 0

3 years ago