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Murrr4er [49]
1 year ago
3

I’m not sure how to do this and I’ve tried everything pls help

Mathematics
1 answer:
harkovskaia [24]1 year ago
6 0

Answer:

No you didn't try everything.I think it's solvable

Step-by-step explanation:

a= -2, b= 3, c= 2, d= -3

So

c - b = 2 - 3 =  - 1  \\ d - c =  - 3 - 2 =  - 5 \\ a - c  =  - 2 - 2 =  - 4

Hope this helps please mark me BRAINLIEST. Thanks

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a.Find a linear approximation of 4√14 . b. Justify visually whether your approximation is an over- or underestimate.
Ivanshal [37]

Answer:

15

Step-by-step explanation:

Let f(x) be the function

\bf f(x)=\sqrt{x}

A linear approximation of f is the Taylor polynomial of degree one:

\bf f(x)\approx f(a)+f'(a)(x-a)

Taking a = 16, and given that

\bf f'(x)=\displaystyle\frac{1}{2\sqrt{x}}

we get

\bf f(x)\approx f(16)+f'(16)(x-16)=\sqrt{16}+\displaystyle\frac{1}{2\sqrt{16}}(x-16)=4+\displaystyle\frac{x-16}{8}

so

\bf \sqrt{14}=f(14)\approx 4+\displaystyle\frac{14-16}{8}=3.75\Rightarrow\\\\\Rightarrow 4\sqrt{14}\approx 4(3.75)=15

<em>Since 16 > 14, we can deduce that this is an overestimate. </em>

7 0
3 years ago
The value of a particular rookie baseball card was $2.00 when it was first printed. Five years later, when the player was at his
mash [69]

Let t be the time passed  in years and y be the value of baseball card.

You know that

  • when x=0, then y=2;
  • when x=5, then y=25;
  • when x=10, y=8.

The equation in standard form is y=ax^2+bx+c. Substitute given data into the equation:

a\cdot 0^2+b\cdot 0+c=2,\\\\a\cdot 5^2+b\cdot 5+c=25,\\\\a\cdot 10^2+b\cdot 10+c=8.

Solve the system of equations:

\left\{\begin{array}{l}c=2\\25a+5b+c=25\\100a+10b+c=8\end{array}\right.\Rightarrow \left\{\begin{array}{l}c=2\\25a+5b=23\\100a+10b=6\end{array}\right.\Rightarrow

\left\{\begin{array}{l}c=2\\a=-0.76\approx -0.8\\b=8.4\end{array}\right.

Then the parabola equation is

y=-0.8x^2+8.4x+2.

7 0
3 years ago
Read 2 more answers
The Mercardo family has 34ft of fencing to put around a garden plot. The plot is rectangular in shape. If it is 6ft wide, find t
hram777 [196]
204 ft is the anwser
4 0
3 years ago
What is the area of the rectangle? A.11 square centimeters
Vikki [24]

Answer:

28

Step-by-step explanation:

Area of a rectangle = width times length therefore the equation is 7 times 4 = 28.

8 0
3 years ago
The average cost of a gallon of gas during July was $2.45. The average cost of a gallon of gas during August was $2.78. What is
nekit [7.7K]

Step One

Figure out the actual change.

Change = 2.78 - 2.45

Change = 0.33

Step 2

Find the % change

% Change = 0.33/2.45 * 100 = 13.5%


4 0
4 years ago
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