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3 years ago

Y = 5x^2 - 10 what is the rate of change ? is the function linear or non linear ? why ?

Mathematics

1 answer:

Svetlanka [38]3 years ago

6 0

Answer:

Step-by-step explanation:

Are you in Calculus? These are calculus concepts!

To calculate the rate of change here you must specify an interval, e. g., "what is the rate of change on the interval (0, 3)?"

If you know calculus: The 'rate of change' on the interval (a, b) is

f(b) - f(a)

r. of c. = --------------------

b - a

Have you used this formula before?

Because of the 'x^2' term this is NOT a linear function.

If you want more explanation, provide an interval on which you want the average rate of change and ask specific questions of your own.

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HELP someone please!!!! i dont understand

ad-work [718]

Answer:

x = 65.03°

Step-by-step explanation:

To solve for x, we have to apply trigonometric ratio.

Recall: SOH CAH TOA

From the diagram, we know the following:

Reference angle = x

Hypotenuse = 45

Adjacent = 19

Since we know the Hyp and Adj, we would apply CAH, which is:

Cos x = Adj/Hyp

Plug in the values

$cos(x) = \frac{19}{45}$

$x = cos^{-}(\frac{19}{45})$

x = 65.0250346°

x = 65.03° (nearest hundredth)

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2 years ago

Claire has 6 plates. She puts 7 muffins on each plate. She finds the total number of muffins by using the model below. Which exp

crimeas [40]

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3 years ago

A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. how much gas can the pressure vessel hold when fu

bezimeni [28]

Step-by-step explanation:

the volume of a cylinder is as for any other regular 3D object :

ground area ×height

the ground area of a cylinder is a circle, so it is

pi×radius² × height

the radius is always half of the diameter (of the diameter is airways twice the radius).

radius = 6/2 = 3 ft.

the volume is then

pi × 3² × 9 = pi × 9 × 9 = pi × 81 ft³

so, the answer is 81pi ft³.

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2 years ago

Write the fractions in order from least to greatest -3 3/4, -3 17/25, -3 13/20, -33/5

Natali [406]

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7 0

3 years ago

The line passes through (9,8) and is perpendicular to x-2y=-16

pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

$x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\$

The equation is in slope-intercept form, the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

$\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2$

Slope intercept form is:

$y=mx+b$

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

$8=-2(9)+b\\8=-18+b\\b=8+18\\b=26$

Putting the values of b and m

$y=-2x+26$

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

4 0

3 years ago