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castortr0y [4]
3 years ago
9

A function, f(x), represents the distance a car travels over time. The line tangent to the function at x=1 is y=0.6x+0.9. The li

ne tangent to the function at x=4 is y=2.1x-3.2. The line tangent to the function at x=6 is y=4.6x-16.3.

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

9514 1404 393

Answer:

  0.6

Step-by-step explanation:

The instantaneous rate of change at any point on a curve is the slope of the tangent line at that point.

At x=1, the tangent line is given as ...

  y = 0.6x +0.9

The slope of that line is the coefficient of x, 0.6.

The instantaneous rate of change of f(x) at x=1 is 0.6.

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In 25 words or fewer, compare the mathematical and algebraic<br><br> expressions.
DedPeter [7]

Answer:

use own words

Step-by-step explanation:

An expression is just a mathematical phrase. In this tutorial, you'll learn about two popular types of expressions: numerical and algebraic expressions. A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables.

in mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

5 0
3 years ago
The solid was created by connecting two congruent square pyramids to a rectangular prism.
AnnyKZ [126]

Answer:

  1920 square inches

Step-by-step explanation:

For a rectangular prism, the lateral area can be found by ...

  LA = Pl

where P is the perimeter, and l is the length.

For a square pyramid, the lateral area can be found by ...

  LA = (1/2)Ph

where P is the perimeter of the base, and h is the slant height of the triangular faces.

For a figure with a square cross section of perimeter P "capped" by square pyramids on either end, the total surface area is the sum of the lateral areas of the three components:

  SA = (Pl) + (1/2)Ph + (1/2)Ph

  SA = P(l+h) = (4×15 in)(14 +18 in) = (60)(32) in²

  SA = 1920 in²

The surface area of the solid seems to be 1920 square inches.

__

<em>Caveat</em>

If the figure is something other than what we have tried to describe, your mileage may vary. A diagram would be helpful.

3 0
3 years ago
Read 2 more answers
Tom sold 500 liters of soda at a baseball game. How much is this in milliliters?
Sidana [21]

Answer:

500,000

Step-by-step explanation:

1 liter is a thousand milliliters

8 0
3 years ago
Read 2 more answers
Which relationships have the same constant of proportionality between y and x as in the equation y=1/2x Choose 3 answers:
Andrew [12]

Answer:

A and B has the same constant of proportionality

Step-by-step explanation:

y \propto x

y = kx ----1

Where k is the constant of proportionality

We are supposed to find Which relationships have the same constant of proportionality between y and x as in the equation y=\frac{1}{2}x

On comparing with 1

k = \frac{1}{2}

A)6y = 3x

y = \frac{3}{6}x\\y = \frac{1}{2}x

So, this equation has the  same constant of proportionality

B)(x_1,y_1)=(2,1)\\(x_2,y_2)=(4,2)

To find the equation :

Formula : y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

So, y - 1=\frac{2-1}{4-2}(x-2)\\y-1=\frac{1}{2}(x-2)\\y-1=\frac{1}{2}x-1\\y=\frac{1}{2}x

So, this equation has the  same constant of proportionality

C)

(x_1,y_1)=(1,2)\\(x_2,y_2)=(2,4)

To find the equation :

Formula : y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

So, y - 2=\frac{4-2}{2-1}(x-1)\\y - 2=2(x-1)\\y - 2=2x-2\\y=2x

So, this equation do not has the same constant of proportionality

D)

(x_1,y_1)=(2,1)\\(x_2,y_2)=(3,2.5)

To find the equation :

Formula :y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

So, y - 1=\frac{2.5-1}{3-2}(x-2)

y-1=1.5(x-2)\\y-1=1.5x-3\\y=1.5x-2

So, this equation do not has the same constant of proportionality

Hence A and B has the same constant of proportionality

3 0
4 years ago
Read 2 more answers
PLEASE HELP!!!there are 157 geocaches in my town. there are 921 geocaches in nicole's city. about how many more geocaches are hi
grandymaker [24]

Answer:

764

Step-by-step explanation:

Subtract 921 with 157

6 0
3 years ago
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