Straight line:
y = mx + c
m is the slope of the graph and c is the y-intercept
In this case, m = 5 as stated in the question, so...
y = 5x + c
By substituting the given co-ordinates (-2,-1) into this equation, we can find c
-1 = 5(-2) + c
-1 = -10 + c
-1 + 10 = -10 + c + 10 (Add 10 to both sides)
9 = c
c = 9
Put c = 9 into the equation:
y = 5x + 9
Answer:
D. (7, 0)
Step-by-step explanation:
The rule for a reflection over the y-axis is (x, y) → (x, -y)
This means that the x-values stay the same while the y-values change.
Q(x, y) → (x, -y)
Q(3, 0) → (3, 0)
Q'(3, 0)
P(x, y) → (x, -y)
P(5, 6) → (5, -6)
P'(5, -6)
R(x, y) → (x, -y)
R(7, 0) → (7, 0)
R'(7, 0)
Therefore, the correct answer is D.
Hope this helps!
Answer:
480/(x+60) ≤ 7
Step-by-step explanation:
We can use the relations ...
time = distance/speed
distance = speed×time
speed = distance/time
to write the required inequality any of several ways.
Since the problem is posed in terms of time (7 hours) and an increase in speed (x), we can write the time inequality as ...
480/(60+x) ≤ 7
Multiplying this by the denominator gives us a distance inequality:
7(60+x) ≥ 480 . . . . . . at his desired speed, Neil will go no less than 480 miles in 7 hours
Or, we can write an inequality for the increase in speed directly:
480/7 -60 ≤ x . . . . . . x is at least the difference between the speed of 480 miles in 7 hours and the speed of 60 miles per hour
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Any of the above inequalities will give the desired value of x.
The answer is: " 9a² + 7a " .
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Note: (3a)² + 7a = (3a)*(3a) + 7a = 9a² + 7a .
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Answer:
first get the total ratio; 2 + 5 = 7
so the fraction of blue marbles is 5/7
then assume the number of total marbles to be k
then use the expression;
5/7*k = 65
7*5/7 * k = 65*7
5k =455
5/5k = 455/5
k = 91
then calculate the number if red marbles from;
x = 2/7*91
x = 26
Therefore there are 26 red marbles.
