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3 years ago

15

X is greater than or equal to -1 and less than or equal to 8

1 answer:

Sergeeva-Olga [200]3 years ago

4 0

Answer:

Is their an equation that can be used a reference to find the sum/difference/product/quotient to this equation?

Step-by-step explanation:

You might be interested in

Given f(x) = 7x - 22, find x when f(x) = 48.

Lana71 [14]

The correct answer is:

c) 10

8 0

4 years ago

If we approximate the function y=sin(x) with a0+a1 x a2 x^2 +a3 x^3, what is a0,a2,a2,a3?

Rashid [163]

The coefficients $a_0,a_1,a_2,a_3$ could be chosen to be the coefficients in the Maclaurin series of $\sin(x)$ .

We have

$y = \sin(x) \approx a_0 + a_1 x + a_2 x^2 + a_3 x^3 \\\\ \implies y(0) = 0 = a_0$

$y' = \cos(x) \approx a_1 + 2a_2 x + 3a_3 x^2 \\\\ \implies y'(0) = 1 = a_1$

$y'' = -\sin(x) \approx 2a_2 + 6a_3 x \\\\ \implies y''(0) = 0 = 2a_2$

$y''' = -\cos(x) \approx 6a_3 \\\\ \implies y'''(0) = -1 = 6a_3$

It follows that $a_0=0$ , $a_1=1$ , $a_2=0$ , and $a_3 = -\frac16$ .

7 0

2 years ago

A rectangle with dimensions of 3 units by 7 units is enlarged by a scale factor of 1.1. By what percent does it’s area increase?

Ratling [72]

Answer:

$21\%$

Step-by-step explanation:

Original dimensions of the rectangle

$l=7\ \text{units}$

$w=3\ \text{units}$

Area of the rectangle

$A=7\times 3=21\ \text{units}^2$

Scale factor = 1.1

New dimensions

$l'=7\times 1.1=7.7\ \text{units}$

$w'=3\times 1.1=3.3\ \text{units}$

The new area of the rectangle

$A'=7.7\times 3.3=25.41\ \text{units}^2$

Percentage change is given by

$\dfrac{A'-A}{A}\times 100\\ =\dfrac{25.41-21}{21}\times 100=21\%$

The percentage by which the area of the rectangle increases is $21\%$ .

8 0

3 years ago

Help please will mark brainliest

eimsori [14]

Answer:

8

Step-by-step explanation:

length x width x height

3 0

3 years ago

The average walking speed r of a person living in a population P in thousands is modeled by the function, r(p) = 0.37 ln p + 0.0

Veseljchak [2.6K]

Answer:

The average walking speed is 1.48 feet per second

Step-by-step explanation:

we have

$r(p)=0.37ln(p)+0.05$

where

r is average walking speed

p is the population in thousands

In this problem we have

$p=48,000/1,000=48$ ----> because p in the equation is in thousands

substitute the value of p in the equation

$r(p)=0.37ln(48)+0.05$

using a calculator

$r(p)=1.48\ ft/sec$

4 0

3 years ago