Determine the slope of the line that passes through the given points. (8, 1) and (8, -4)

lynn, jude and anne were given the function f(x)=-2x^2+32, and they were asked to find f(3). lynns answer was 14, judes answer w

AfilCa [17]

The only thing we need to here to find who is correct is evaluate the function $f(x)=-2 x^{2} +32$ at $x=3$ . To do that we are going to replace $x$ with $3$ in the function:
$f(x)=-2 x^{2} +32$
$f(3)=-2 (3)^{2} +32$
$f(3)=-2 (9) +32$
$f(3)=-18+32$
$f(3)=14$

We can conclude that Lynn is correct. $f(3)$ is indeed 14.

6 0

3 years ago

Calculator

Sedaia [141]

Check the picture below.

so let's find the lengths of those two sides in red, since are the length and width of the rectangle.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{[-3-(-6)]^2+[6-3]^2}\implies d=\sqrt{(-3+6)^2+(6-3)^2} \\\\\\ d=\sqrt{9+9}\implies \boxed{d=\sqrt{18}} \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1})~\hfill d=\sqrt{[-2-(-6)]^2+[-1-3]^2} \\\\\\ d=\sqrt{(-2+6)^2+(-1-3)^2}\implies d=\sqrt{16+16}\implies \boxed{d=\sqrt{32}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{(\sqrt{18})(\sqrt{32})}\implies \sqrt{18\cdot 32}\implies \sqrt{576}\implies 24$

7 0

3 years ago

Non examples of graphs

Kipish [7]

A Non-example is like there we not enough to grapha

5 0

3 years ago

Read 2 more answers

A fourth degree polynomial with real coefficients can have -4, 8i,+4i, and as its zeros. True or false? Justify your answer.

liraira [26]

You didn't give the fourth zero, but the answer is still false. If you have a root or an imaginary number as a zero, then its conjugate is also a zero. So if 8i is a zero, then -8i must also be a zero, and if 4i is a zero, then -4i must be a zero, with those zeros and -4, the number of zeroes exceeds the number of zeroes that a fourth degree polynomial can have.

4 0

3 years ago

The table shows the number of wins of each school baseball team over the last six years. Find the mean absolute deviation for ea

Gwar [14]

Answer: Bears: 1.80 Saints: 1.40

Step-by-step explanation: Hope this helps!!

8 0

2 years ago