Answer:
B.
Step-by-step explanation:
The answer is B. The problem says that the slope is 2 and it as the points (3,10) on its line. When looking at the graph, you can see that the line crosses at four on the y-intercept which is why four will be your constant. So, your equation in slope intercept form will become y=2x+4. With this, you can start eliminating the given answers.
You can immediately eliminate c and d because the 2 is negative when it isn't in its slope form. It leaves you with a and b.
When looking at both a and b you now have to look at what your y will become when you sinplify both of them. In choice a, the 2 multiplies with the 3 and gives you 6. Since you have to leave the y by itself you have to subtract 10 from both sides which will leave you with -4. Since your y-intercept isn't negative you know that a isnt the ansewr.
When checking b, you multiply the 2 and -3 to get -6. Since you have to leave the y by itself, you add 10 to each side and end up with 4 which is the same number that crosses the y-axis. and that is how you know it's the right answer.
Let the lengths of the sides of the rectangle be x and y. Then A(Area) = xy and 2(x+y)=300. You can use substitution to make one equation that gives A in terms of either x or y instead of both.
2(x+y) = 300
x+y = 150
y = 150-x
A=x(150-x) <--(substitution)
The resulting equation is a quadratic equation that is concave down, so it has an absolute maximum. The x value of this maximum is going to be halfway between the zeroes of the function. The zeroes of the function can be found by setting A equal to 0:
0=x(150-x)
x=0, 150
So halfway between the zeroes is 75. Plug this into the quadratic equation to find the maximum area.
A=75(150-75)
A=75*75
A=5625
So the maximum area that can be enclosed is 5625 square feet.
Answer:
Step-by-step explanation:
9/16=.5625
Round that to the nearest whole number would be 1
Answer:
Hi there!
Your answer is;
a)
i) 400% of 240
240 is 100%
× 4
960= 400%
ii) 40% of 240
100% = 240
/100
1% = 2.4
× 40
40% = 96
iii) 4% of 240
100% is 240
/100
1% = 2.4
× 4
4% = 9.6
iv) .04% of 240
100% = 240
/100
1% = 2.4
/100
.01% = .024
× 4
.04% = .096
b) the patterns is that all these numbers equal sometime 96. Each of these have a different decimal place, but have the same actual numbers.
c) 4000% = 240
take the pattern:
400% is 960
Scale it up to 4000 by 10
400% is 960
× 10
4000% is 9600
Hope this helps!
Answer:
Check attachment for the diagram
Step-by-step explanation:
Given two points A and B in the diagram attached, we see that exactly one line exists between these points.
