How are the coordinates of the new point found if it is translated right/left and up/down?

Two functions, A and B, are described as follows: Function A y = 8x + 3 Function B The slope is 1 and the y-intercept is 4. How

____ [38]

1. Subtract 3 from both sides:
y - 3 = 8x
2. Divide both sides by 8:
y - 3/8 = x
3. Switch sides:
x = y - 3/8

8 0

3 years ago

Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the num

shepuryov [24]

Question:

Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right. Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?

A) Brian and Damien both answered 2 fewer questions correctly than Chris did.

B) Brian and Damien both answered 4 more questions correctly than Chris did.

C) Brian and Damien both answered 2 more questions correctly than Chris did.

D) Brian and Damien both answered 4 fewer questions correctly than Chris did.

Answer:

Option C

Brian and Damien both answered 2 more questions correctly than Chris did

Solution:

Let "x" be the number of correct answers of Brian

Let "y" be the number of correct answers of Chris

Let "z" be the number of correct answers of Damien

The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right

$x = 14 + \frac{1}{4}y\\$ ---------- eqn 1

Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly

$z = \frac{5}{4}y - 2$ ---------- eqn 2

Brian and Damien have the same score

x = z -------- eqn 3

Therefore,

$14 + \frac{1}{4}y = \frac{5}{4}y - 2\\\\\frac{5}{4}y - \frac{1}{4}y = 14+2\\\\y = 16$

Substitute y = 16 in eqn 1

$x = 14 + \frac{16}{4}\\\\x = 14 + 4\\\\x = 18$

Therefore, by eqn 3,

z = 18

Thus we get,

Number of correct answers of Brian = 18

Number of correct answers of chris = 16

Number of correct answers of Damien = 18

Therefore, correct statement is:

Brian and Damien both answered 2 more questions correctly than Chris did

5 0

3 years ago

MATLAB Simulation. Develop a Matlab script to simulate the modulation of a 30 kHz carrier with a 0.5 kHz message signal. Use 40%

iren2701 [21]

Answer:

MATLAB code for DSB-SC modulation.

fc=154000; % carrier signal frequency

fm=fc/10; % message signal frequency

fs=100*fc;

t=0:1/fs:4/fm;

xc=cos(2*pi*fc*t);

xm=10*cos(2*pi*fm*t); % amplitude of sinusodial is 10

figure(1)

subplot(2,1,1),plot(t,xc);

title('carrier signal of 154 khz');

xlabel('time (sec)');

ylabel('amplitude');

subplot(2,1,2),plot(t,xm);

title('message signal of 15.4 khz');

xlabel('time (sec)');

ylabel('amplitude');

% DSB-SC MODULATION

z1= xm.*xc;

figure(2)

subplot(2,1,1),plot(t,z1);

title('DSB-SC MODULATION IN TIME DAOMAIN');

xlabel('time (sec)');

ylabel('amplitude');

l1=length(z1);

f=linspace(-fs/2,fs/2,l1);

Z1=fftshift(fft(z1,l1)/l1);

subplot(2,1,2),plot(f,abs(Z1));

title('DSB SC MODULATION IN FREQUENCY DOMAIN');

xlabel('frequency(hz)');

ylabel('amplitude');

axis([-200000 200000 0 3]);

Step-by-step explanation:

6 0

3 years ago

Yvonne continues to work full-time at her job while she attends college part-time. It takes 5 years for Yvonne to complete

Leni [432]

The answer to this is A

5 0

3 years ago

Help me FAST PLEASEEEE

Leya [2.2K]

1. shade right, open circle

2. no shade, solid circle

3. shade right, solid circle

4. shade left, solid circle

5. no shade, solid circle

6. shade left, solid circle

7. shade left, open circle

8. shade right, solid circle

9. shade left, open circle

10. no shade, solid circle

6 0

3 years ago