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4 years ago

Which function equation is represented by the graph?

Mathematics

2 answers:

matrenka [14]4 years ago

3 0

A because mrs guha taught me

zaharov [31]4 years ago

3 0

Solution:

As we can see from the graph given, the curve cuts Y axis, passes through (0,5) , (2,1) and appears parallel to X axis.

Also, you can see that curve is decreasing and after it crosses the point (4,0) it becomes parallel to X axis.

As you can see from the graph , the general equation of curve will be

f(x) = $a^{-x}$

There is no function in the option given which has a negative exponent.

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Consider the function f(x)=xln(x). Let Tn be the nth degree Taylor approximation of f(2) about x=1. Find: T1, T2, T3. find |R3|

Fynjy0 [20]

Answer:

R3 <= 0.083

Step-by-step explanation:

f(x)=xlnx,

The derivatives are as follows:

f'(x)=1+lnx,

f"(x)=1/x,

f"'(x)=-1/x²

f^(4)(x)=2/x³

Simialrly;

f(1) = 0,

f'(1) = 1,

f"(1) = 1,

f"'(1) = -1,

f^(4)(1) = 2

As such;

T1 = f(1) + f'(1)(x-1)

T1 = 0+1(x-1)

T1 = x - 1

T2 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2

T2 = 0+1(x-1)+1(x-1)^2

T2 = x-1+(x²-2x+1)/2

T2 = x²/2 - 1/2

T3 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2+f"'(1)/6(x-1)^3

T3 = 0+1(x-1)+1/2(x-1)^2-1/6(x-1)^3

T3 = 1/6 (-x^3 + 6 x^2 - 3 x - 2)

Thus, T1(2) = 2 - 1

T1(2) = 1

T2 (2) = 2²/2 - 1/2

T2 (2) = 3/2

T2 (2) = 1.5

T3(2) = 1/6 (-2^3 + 6 *2^2 - 3 *2 - 2)

T3(2) = 4/3

T3(2) = 1.333

Since;

f(2) = 2 × ln(2)

f(2) = 2×0.693147 =

f(2) = 1.386294

Since;

f(2) >T3; it is significant to posit that T3 is an underestimate of f(2).

Then; we have, R3 <= | f^(4)(c)/(4!)(x-1)^4 |,

Since;

f^(4)(x)=2/x^3, we have, |f^(4)(c)| <= 2

Finally;

R3 <= |2/(4!)(2-1)^4|

R3 <= | 2 / 24× 1 |

R3 <= 1/12

R3 <= 0.083

5 0

3 years ago

A diabetes drug cost $78 online. This cost is 75% of the cost of the

alexgriva [62]

Answer:

$104

Step-by-step explanation:

If the cost in the store is x we can write:

75%x = 78

0.75x = 78

x = 78 / 0.75 = 104

5 0

4 years ago

Read 2 more answers

HELPPPPPPPPPPPPPPPPPPPPPPPPP

kenny6666 [7]

Answer:

Step-by-step explanation:

A. Calculating The Markdown Price

X=Markdown price

Original price: $600

Markdown rate: 20%

100%-20%=80%

The TV's price is now 80% of what it originally was.

$\frac{x}{600} =\frac{80}{100\\}$

100x=48000

x=480

The price of the TV after being marked down is $480.

B. Calculating The Sales Tax

Y=Total sales tax

TV price: $480

Sales tax: 10% or 0.1

y=480*0.1

y=48

The total sales tax is $48

C. Calculating Your Total

x+y=total

480+48=total

total=528

You in total pay $528 for the TV.

4 0

3 years ago

Please solve and show step by step<br> Best answer get rewarded!

Arisa [49]

B² - 4ac
= 8² - 4*(-2)*(-9)
= 64 - 72
= -8

6 0

3 years ago

a recipe requires 1/2 cup of milk and 1/3 cup of water. How much more milk is required for tge recipe than water?

ycow [4]

Answer:

1/6 cup of milk

Step-by-step explanation:

1/2 (amount of milk)- 1/3 (amount of water)

1/2 = 3/6

1/3 = 2/6

3/6 - 2/6 = 1/6

Hope this helped <3

7 0

3 years ago