Answer: - 19/4
Step-by-step explanation:
To find the slope , all we need to do is to write the equation in the form y = mx + c , where m is the slope and c is the y - intercept.
That means we need to make y the subject of the formula in the equation.
4y = 152 - 19x
Divide through by 4
y = 152/4 - 19x/4
y = 38 - 19x/4
Therefore the slope is -19/4
1 2/3 * 7/8...turn the mixed number to an improper fraction
5/3 * 7/8 = 35/24 = 1 11/24
Answer:
30 mins
Step-by-step explanation:
<em>speed = distance/ time </em>
speed of car A
= 20/ 12 km/ min
= 5/ 3 km/ min
also, speed of car A = speed of car B
speed of car B = 5/ 3 km/ min = 50km / time taken (in mins)
=> t = 30 mins
C. f(x) = – 2 cos 6x + 1
Start by determining the amplitude. Since we've deduced the amplitude is 2, the equation can include either a positive or negative 2 (since amplitude measures absolute value).
Next is the period. The equation for period P is P = (2pi)/b. If P is pi/3, then
pi/3 = (2pi)/b. Thus your b value should be 6.
Finally, the midline would be given by + 1 since adding a unit shifts the function upwards. This means that instead of the highest y value being 2 and the lowest -2, instead you'd have values of 3 and -1.
(3 – 1)/2 = 1 (midpoint theory).
Answer:
Technically neither, but Mia is correct.
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Since our slope <em>m</em> is equal to 6, it is a positive number. That means that the slope/line will be positive, so the line should be going up, not down. That means the blue line would be correct. Therefore, Mia is correct.
Technicality:
Since the blue line is dotted, the equation should be a <em>inequality </em>and not a linear equation. No solutions on the line would technically work. If the equation was y < 6x + 4 or something with an inequality sign, then it would be correct.
