<span>The <u>correct answers</u> are:
x=-3 and x=-8.
Explanation<span>:
We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.
Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).
The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.
Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.
Solving the first equation:
x+3-3=0-3
x=-3.
Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
Answer:
Arithmetic
Step-by-step explanation:
An arithmetic progression is characterised by the first term (a), number of terms (n) and common difference (d).
<u>Part A</u>
<u />
<u>Part B</u>
The vertex of the graph will be a maximum because the leading coefficient is negative.
The x coordinate of the vertex is 
.
When x=15/8, 
.
So, the vertex has coordinates 
<u>Part C</u>
Plot the two x-intercepts and the vertex and then draw a curve in the shape of a parabola passing through them.
The graph is in the attached image.
Six dozen cupcakes is 72. So in this case Kailyn made 88 cupcakes, but that was 72 more than Melissa made so Melissa only made 16.
Answer:
10
or 14.14 appromiximately
Step-by-step explanation:
Area of square = 100
So length on side = 10 because all sides of square equal.
Length of Diagonal = Side x 
So the length of diagonal is 14.14 approximately
