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Mrac [35]
3 years ago
7

The diagram shows a prism …,

Mathematics
1 answer:
cluponka [151]3 years ago
4 0

Answer:

See figure below.

Step-by-step explanation:

See the figure below.

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Suppose it is known that for a given differentiable function y=f(x), its tangent line (local linearization) at the point where a
AleksandrR [38]

Answer:

y(-4) = 5

y'(-4) = -7

Step-by-step explanation:

Hi!

Since the tangent line T and the curve y must coincide at x=-4

y(-4) = T(-4) = 5

On the other hand, the derivative of the curve evaluated at -4 y'(x=-4) must be the slope of the tangent line. Which inspecting the tangent line T(x) is -7

That is:

y'(-4) = -7

6 0
2 years ago
A pair of shoes usually sells for $61. If the shoes are 40% off, and sales tax is 5%, what is the total price of the shoes, incl
lyudmila [28]
Since sale is 40% so the price is 60%

61*(60%) = 36.6

the tax is 5%

so the price after tax is: 36.6 * (1 +5%) = $38.43
4 0
3 years ago
State whether the lines are parallel, perpendicular, coinciding, or neither: 6x+3y=–15 and y–3=–2x
lianna [129]

Answer:

Parallel

<u>Step-By-Step Explanation:</u>

Put the Function in Slope Intercept Form and Find the Slope of 6x+3y = 15

6x+3y = 15

3y = -6x + 15

3y/3 = -6x/3 + 15/3

y = -2x + 5

<u>We can see that the slope of 6x+3y = 15 is -2</u>

Put the Function in Slope Intercept Form and Find the Slope of y–3=–2x

y–3=–2x

y = -2x + 3

Here are our two Functions In Slope Intercept Form

y = -2x + 5

y = -2x + 3

<u>Remember the m = slope and the b = y-intercept</u>

y = mx + b

y = -2x + 5

y = -2x + 3

------------------------------------------------------------------------------------------------------

We can see both equations have the same slope of -2 so this means they could be parallel because parallel functions have the same slope but coinciding functions have the same slope too. To tell if the two functions are coinciding, the functions need to have the same slope and the same y-intercept. Looking at the two functions, we can see they have the same slope of -2 but their y-intercept are different so this makes the two functions parallel.

4 0
3 years ago
Which equation describes the relationship expressed in the table?
Arada [10]
Y=(1/3)*x is the correct answer.

1/3 of -3 is -1

1/3 of 0 is 0

1/3 of 6 is 2
3 0
3 years ago
Lee has $220 to spend on shirts at $22 each and pants $38 each. what inequality represents the possible number of shirts and pan
Viefleur [7K]

The inequality that models the given situation is:

y*$22 + x*$38 ≤ $220

And some solutions are (1, 1), (1, 2), (2, 2).

<h3>Which inequality models the given situation?</h3>

To find the inequality, we first need to define the variables that we will use, the variables are:

  • x = number of pants bought.
  • y = number of shirts bought.

Knowing the price of each individual item, the total cost will be given by:

C = y*$22 + x*$38

And Lee has $220 to spend, so the maximum amount that he can spend is $220, then we have the inequality:

y*$22 + x*$38 ≤ $220

Now, to find solutions you just need to find some values of x and y that make the inequality true, for example, one solution is x = 1 and y = 1.

1*$22 + 1*$38 ≤ $220

$60 ≤ $220

This is true, so (1, 1) is a solution.

Another solutions are (2, 2), (1, 2), (0, 3), etc.

If you want to learn more about inequalities you can read:

brainly.com/question/24372553

#SPJ1

6 0
2 years ago
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