Number line graph with closed circle on 30 and shading to the rightbecause you already have 30 dollars and they need at least 120 but if they get more then 120 they can still hold the science fair.
Answer:
26, 64
Step-by-step explanation:
M=N-38
M+N=90
M=26
N=64
Answers: 1:B, 2:450
How-To:
Using the formula for area on the bottom of the can, (pi*r^2) you can then multiply by the amount of height missing, which is 4.
Since it was originally 10, you subtract 4 in order to get 6.
That's how to get 4.
Now, plug in pi*r^2 into a calculator (or if you must work it out, radius, r, is 10, so 10*10 is 100. 100*3.14159265 is 314.159265
Now multiply 314 by the height missing (4) to get approximately 1257.
Now for number 2.
It says it is dilated by a scale factor of 1:3 (from 1350). That means that it was made smaller, (that's what dilated means) by 3 for every 1. So take 1350 and divide it by 3 to get 450
Answer: B. (x - 1) (x - 4)
Concept:
Here, we need to know the idea of zeros.
The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
By definition, the factored form of quadratic equations is basically their zeros.
<u>STEP ONE: Find the zeros / x-intercept of the graph</u>
The grid number is 2 per grid as 5 grids are 10 units.
The first intercept is between the y-axis and the first grid.
The second intercept is on the second grid.
<u>STEP TWO: Plug the zeros into factorization form</u>
Factor form = (x - x₁) (x - x₂)
x₁ = (1, 0)
x₂ = (4, 0)
Factorization of x² - 5x + 4 = (x - 1) (x - 4)
Hope this helps!! :)
Please let me know if you have any questions