To find out if there is point where the graphs intersect simply plug in one equation for another,
y = 4x + 3
Y = -x^2 - 1.
4x + 3 = -x^2 - 1
Then solve
4x + 3 = -x^2 - 1
X^2 + 4x + 3 = -1
X^2 + 4x + 4 = 0.
(X+2)(x+2) = 0.
There is one solution X = -2. To solve for the y coordinate plug X = -2 to any of the above equations, easier for the first one.
Y = 4x + 3
Y = 4(-2) + 3
Y = -8 + 3
Y = -5.
Point - P(-2,-5). Plug these points in both original equations and if in each the left side is equal to the right, then that is the point of intersection. Basically the graph intersects once.
<u></u>There are two way sof doing this question:
<em><u>1st solution is : </u></em>
<em> </em><u><em>6/15 = 2/</em></u><u /><em><u>5</u>
</em>because 6/15 is divisible by 3 and it is done by this form :
3 X 2 = 6
and
3 X 5 = 15
<em><u>2nd solution is:
</u></em><u></u>6/15 = 2/?
here we suppose that the missing value is <em>x:
</em> 6/15 = 2/x
you shift the denominators and then multiply them by the their numerators:
6 * x = 15 * 2
6x = 30
now you divide 6 on both sides:
<em> </em>6x/6 = 30/6
<em><u>x = 5</u></em><em>
</em>
Length of shorter piece is 13 ft
Length of longer piece is 61 - 13 => 48 ft
Answer is A. 3 1/4 is to the left of 7/2 and 7/2 is to the left of 3.75.
With a horizontal line, they are talking about the integers from positive to negative. as you go left the numbers decrease and as you go right the numbers increase
First change 3 1/4 and 7/2 into decimals
3 1/4= 3.25
7/2= 3 1/2= 3.5
Here are your decimals from least to greatest.
3.25, 3.5, 3.75
So 3.25 (3 1/4) is to the left of 3.5 (7/2) and it is to the left of 3.75
