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Lina20 [59]
3 years ago
15

1. For the function f(x) = x2, Find the slope of the secant line joining (1,f(1)) and

Mathematics
1 answer:
goblinko [34]3 years ago
3 0

The slope of the line connecting two points (<em>a</em>, <em>b</em>) and (<em>c</em>, <em>d</em>) is

(<em>d</em> - <em>b</em>) / (<em>c</em> - <em>a</em>)

i.e. the change in the <em>y</em>-coordinate divided by the change in the <em>x</em>-coordinate. For a function <em>y</em> = <em>f(x)</em>, this slope is the slope of the secant line connecting the two points (<em>a</em>, <em>f(a)</em> ) and (<em>c</em>, <em>f(c)</em> ), and has a value of

(<em>f(c)</em> - <em>f(a)</em> ) / (<em>c</em> - <em>a</em>)

Here, we have

<em>f(x)</em> = <em>x</em> ²

so that

<em>f</em> (1) = 1² = 1

<em>f</em> (1.01) = 1.01² = 1.0201

Then the slope of the secant line is

(1.0201 - 1) / (1.01 - 1) = 0.0201 / 0.01 = 2.01

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Please help out with this if you can.
Pepsi [2]

Answer:

3/7 and 4/17

Step-by-step explanation:

a) given that Shen is playing a game and the probability of unlocking the treasure test is 3/10.

To find the odds in favour of his character unlocking the treasure chest.

Since probability = 3/10 we have favourable and total are in the ratio 3:10

i.e. favourable:Favourable+unfavourable= 3:3+7

Hene odds= favourable:unfavourable =3/7

Answer is 3/7

b) Given that odds against choosing a blue block are 13/4

This means there are 4 blue blocks and 13 other colour blocks.

Total blocks= 13+4 =17

No of blue blocks = 4

Probability of selecting blue block=4/17


6 0
3 years ago
The population of deer in a protected area is 225.
Vinil7 [7]
24% of 225 is 54, so you do 225+54=279 so 279 is the correct answer :)
5 0
3 years ago
An automobile traveling at the rate of 30 ft/sec is approaching an intersection. When the automobile is 120 feet from the inters
Trava [24]

Answer:

Distance between automobile and the truck is 100 feet.

Step-by-step explanation:

Speed of the automobile towards the intersection = 30 ft per sec

Speed of the truck that crosses the intersection = 40 ft per sec.

Automobile is 120 feet apart when the truck passes through the intersection.

After 2 seconds distance traveled by the automobile = Speed × time

= 30 × 2

= 60 feet

So the distance of the automobile from the intersection = 120 - 60

= 60 feet

Distance traveled by truck in 2 seconds = 40 × 2

= 80 feet

Now distance between them can be calculated by Pythagoras theorem

Distance = \sqrt{(60)^{2}+(80)^{2}}

= \sqrt{3600+6400}

= \sqrt{10000}

= 100 feet

Therefore, after 2 seconds distance between the truck and the automobile will be 100 feet.

4 0
3 years ago
Find the value of x that makes A || B.<br> x=?
Norma-Jean [14]

Answer:

78

Step-by-step explanation:

a

7 0
3 years ago
Could I get the awnser and explanation of this? Thank you!
astra-53 [7]

Answer:

equation: y = 4x-12

slope: 4

y-intercept: -12

Step-by-step explanation:

3 points across an x-axis is +1 x-axis difference and +4 y-axis away from origin, so you have to subtract 3 by 1 andsubtract y by 4. until x is 0, you get -12 on y-axis

6 0
2 years ago
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