Answer:
2 quartz of the blue paint for every 10 quartz of yellow paint
Step-by-step explanation:
The graph shows the possible different amount of yellow paint and blue paint, in quartz, that can be mixed to obtain a shade of green paint.
On the graph, at the point with the coordinates pair of (2, 10), it means for we would require 2 quartz of blue paints to be mixed with every 10 quartz of yellow paint in order to get the shade of the green paint that we are looking for.
Answer:
y=3/2(x) -1, or y = 1.5x - 1
Step-by-step explanation:
To write the equation in slope-intercept form, you have to determine the y-intercept for the line. Since you have the slope and at least one ordered pair, you can find this by substituting the points and slope into this formula:
y=mx+b.
For this particular line, you would write:
-8 = 3/2(-6)+b
-8 = -18/2 + b
-8 = -9 + b
add 9 to both sides to isolate the b
-1 = b.
Now that you have the answer for b (-1), you can write the equation as:
y=3/2(x) -1
Answer:
charge for d days=d×75$
charge for k kilometers=k×65cents
total cost=75d$+k×0.65$
c=(75d+0.65k)$
Answer:
The answer is C
Step-by-step explanation:
Use the Pythagoras theorem which states that a2 = b2 + c 2
For easier understanding imagine a straight line along the x axis. At (0,0) we have Atlanta. Moving 21 units to our right we have Columbia. This is represented on the coordinate system by (21, 0). To go from Colombia to Charleston, which is located at (24, -11), we need to travel 3 units right along the x- axis to reach ‘24’ and ‘11’ units down along the y- axis to reach (24, -11). Starting from Colombia we can make an imaginary triangle with its perpendicular being the y- component and its base being the x- component, which as we have stated above is ‘-11’ and ‘3’ respectively
Now applying the Pythagoras theorem to calculate the hypothesis and hence the distance between Colombia and Charleston.
a, which represents the distance between Colombia and Charleston would be
a² = b² + c²
a² = (3)² + (-11)²
a = √[(3)² + (-11)²]
Hence the answer is C
Answer:
They have the same x-value
f(x) has the greater minimum
Step-by-step explanation:
To find the vertex of a second degree equation, in this case the minimum value, we can use the following equation:
x = -b / 2a
Remember that a second degree equation has the following form:
ax^2 + bx + c
so a = 1, b = -8 and c = 7. Now you have to substitute in the previous equation
x = - (-8) / 2(1)
x = 8 / 2
x = 4
This means that the two functions have the same x-value.
The y value of f(x) would be
f(4) = (4)^2 - 8(4) + 7
f(4) = 16 - 32 + 7
f(4) = -9
So the vertex, or minimun value of f(x) would be at the point (4, -9).
The vertex, or minimun value of g(x) is at the point (4, -4).
So f(x) has a minimum value of -9 and g(x) a minimum value of -4.
