It’s either B or D.. now you have 2 hopefully this helps
Answer:
65
Step-by-step explanation:
Let x be the number and y be the another one.
x=4y-3
x-y=48
Substitute x=4y-3 into x-y=48
(4y-3)-y=48
3y=51
y=17
[Since we know x is larger than y (4y-3), we need to use y to calculate out x.]
Substitute y=17 into x=4y-3
x=68-3
x=65
Answer:
A. Yes they do. Both equations have their opposing set of y-intercept. Where equation one has a y-intercept of +7, and equation two, +7.
B. No they do not. Equation one has a slope of +3, while equation 2 has a slope of -4.
C. Yes they do. Equation one represents that of a positive increasing graph, while equation two the opposite, decreasing.
Step-by-step explanation:
You can use the slope formula to identify and graph each equation simply by using y = mx + b. Where y is the the y coordinate, x is the x coordinate, m is the slope, and b is the y-intercept. With this you can start plotting by marking the y-intercept by putting the x as zero and seeing what number you get. In this case, 3x0-7 = -7. Meaning that would be the y-intercept. For the slope, depending on what the x coordinate is, that's how much the graph will increase or decrease whenever the x coordinate changes. Say the x coordinate is 1, so 3x1-7 = 3-7 = -4. Meaning your coordinate would be (1, -4) where you can keep doing this formula on and on to find the y coordinate for what x coordinate you want to find, or make it easier to graph with a ruler on paper once you have enough points.
Answer:
Step-by-step explanation:
If you roll an even number it doesn't just get rid of the number off the cube, it still exists
Answer:
Step-by-step explanation:
If you're tasked to do this mathematically, you have to complete the square to get it into vertex, or work, form. Do that by first setting the equation equal to 0 then moving over the constant:
Next you have to have a +1 as the leading coefficient, and ours is a 3, so we factor it out:
. Now take half the linear term, square it, and add it in to both sides. Our linear term is 2/3. Half of 2/3 is 2/6 which reduces to 1/3. Squaring 1/3 gives us 1/9, so that's what we add in.
to the right of the equals sign we added in 3*1/9 which is 3/9, which reduces to 1/3. Now we clean up both sides. The right side is easy; the left side, not so much. The reason we do this (complete the square) is to get a perfect square binomial on the left. When we re-write the left side into that perfect square binomial, we get
Now we move the constant back over and set the parabola back equal to y:
which shows us that the vertex is
