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castortr0y [4]
2 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]2 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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Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 120.
RSB [31]

Answer:

Inequality : 4x+8 < 120

x<28

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Perimeter of a rectangle (P)= 2 length +2 width

Where:

Width = x

Length = x+4

Replacing with the values given

P = 2 (x+4) + 2x

P = 2x+8+2x

P=4x+8

Since the perimeter of the rectangle must be less than 120:

4x+8 < 120

Solving for x

4x<120-8

4x<112

x<112/4

x<28

Feel free to ask for more if needed or if you did not understand something.  

4 0
2 years ago
Written as a simplified polynomial in standard form, what is the result when (x-8)^2
neonofarm [45]

Answer:

26x-67-x²

Step-by-step explanation:

We are given

(10x - 3) - (x - 8) {}^{2}

Expanding (x-8)²=x²-16x+64

10x-3-(x²-16x+64)

10x-3-x²+16x-64

26x-67-x²

3 0
2 years ago
If n(A) = P and n(B)=q then n(AxB) is (a ) p (b ) q ( c ) p+q ( d ) pq<br><br>​
Butoxors [25]

By way of example, suppose <em>A</em> = {1, 2, 3} and <em>B</em> = {<em>a</em>, <em>b</em>, <em>c</em>}. Then the Cartesian product of <em>A</em> and <em>B</em> is

<em>A</em> × <em>B</em> = {{1, <em>a</em>}, {1, <em>b</em>}, {1, <em>c</em>}, {2, <em>a</em>}, {2, <em>b</em>}, {2, <em>c</em>}, {3, <em>a</em>}, {3, <em>b</em>}, {3, <em>c</em>}}

That is, each element in <em>A</em> gets a pairing with each element in <em>B</em>, and for each pairing you have <em>n(A)</em> choices for the first element and <em>n(B)</em> choices for the second element.

So if <em>n(A)</em> = <em>p</em> and <em>n(B)</em> = <em>q</em>, then <em>n(A</em> × <em>B)</em> = <em>pq</em>.

6 0
3 years ago
A number is increased by 30, and the
Novosadov [1.4K]

Answer:

The original number is 17.

Step-by-step explanation:

3(x+30)=141\\\\\frac{3(x+30)}{3}=\frac{141}{3}\\\\x+30=47\\\\x+30-30=47-30\\\\x=17

4 0
2 years ago
Read 2 more answers
Please answer this only for 35 points
Studentka2010 [4]

Answer:

any one need a gf??

Step-by-step explanation:  HELLO here she is waiting for u may decline but hey worth a shot.... And id.k the answer

3 0
2 years ago
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