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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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If 0 lies in the quadrant IV. What can be the value of cos 0?
Andru [333]

Answer:

Positive one

Step-by-step explanation:

The angle 0 does not lie in any of the four quadrants, it lands directly in between quadrants I and IV. The value of cos 0 is always 1.

4 0
3 years ago
7. On Thursday, Kim purchased a medium iced caramel latte and a blueberry muffin for $5.18. Then, on Friday, Kim
sashaice [31]

Answer:

Cost of medium iced caramel latte = $3.59

Step-by-step explanation:

Assume;

Cost of medium iced caramel latte = x

Cost of blueberry muffin = y

So,

On Thursday

x + y = 5.18......eq1

On Friday

2x + 3y = 11.95.....eq2

Eq1 × 3

3x + 3y = 15.54......eq3

eq3 - eq2

x = 3.59

Cost of medium iced caramel latte = $3.59

4 0
2 years ago
Juan invest $3700 in a simple interest account at a rate of 4% for 15 years
OleMash [197]

<em><u>Question:</u></em>

Juan Invest $3700 In A Simple Interest Account At A Rate Of 4% For 15 Years. How Much Money Will Be In The Account After 15 Years?

<em><u>Answer:</u></em>

There will be $ 5920 in account after 15 years

<em><u>Solution:</u></em>

<em><u>The simple interest is given by formula:</u></em>

S.I = \frac{p \times n \times r }{100}

Where,

p is the principal

n is number of years

r is rate of interest

From given,

p = 3700

r = 4 %

t = 15 years

Therefore,

S.I = \frac{3700 \times 4 \times 15 }{100}\\\\S.I = 37 \times 4 \times 15\\\\S.I = 2220

<em><u>How Much Money Will Be In The Account After 15 Years?</u></em>

Total money = principal + simple interest

Total money = 3700 + 2220

Total money = 5920

Thus there will be $ 5920 in account after 15 years

8 0
3 years ago
Find the unit rate if you have to pay $36 for 3 tickets
galina1969 [7]

Answer:

$12

Step-by-step explanation:

36÷3=12

Each ticket costs $12

5 0
3 years ago
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1. Two students went to McDonald's. They each bought the same snack, which included a shake
Sindrei [870]

Answer:

12-2=10 b=10

Step-by-step explanation:

6 0
3 years ago
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