Answer:
2x² + 23
Step-by-step explanation:
Distribute the -5 and combine like terms.
7x² + 3 - 5(x² - 4) =
= 7x² + 3 - 5x² + 20
= 2x² + 23
Given :
Ellis is making some beef burgers for his friends.
His recipe 500g of beef mince and 120g of cheese to make four burgers.
He buys 1.5 of mince and 400g of cheese, and makes as many burgers as possible.
To Find :
How much cheese will he have left over.
Solution :
500 g and 120 g of beef mince and cheese respectively make 4 burgers.
125 g and 30 g of beef mince and cheese respectively make 1 burgers.
Now, we will keep increasing the ingredients until there is any shortage of any ingredients.
1000 g and 240 g will make 8 burgers.
1500 g and 360 g will make 12 burgers.
1625 g and 390 g will make 13 burgers.
Cheese left is ( 400 - 390 ) g = 10 g.
Therefore, 10 grams of cheese will be left.
Answer:
3.14 km
Step-by-step explanation:
we know that area of a circle is πr², where r is the radius
if here radius is 1 kilometres, π is 3.14
then, circle's area = 3.14 * 1 * 1 = 3.14 km
Vertex form formula: y = a(x-h)^2 +k, with vertex (h,k)
There are multiple ways to find the vertex. One way is to find the roots and then find the x value exactly in between them, because this parabola is symmetrical.
0 = (x - 3)(x + 2), so x = 3 and -2. The point directly in the middle is x = 1/2 = h
To find the y value of the vertex, plug in 1/2 to the equation.
(1/2)^2 - 2(1/2) + 5 = 4.25 = k
y = (x - 0.5)^2 + 4.25
Answer:
B.
Step-by-step explanation:
The graph that is going to show the function, has two parts: one for numbers equal or less than 3 and the other for numbers greater than 3
Then, for x≤3, the function is f(x) = 4. This is a constant so the graph is a horizontal line.
Additionally, for x>3, the function is f(x)=12x. This is a straight line with a positive slope.
So, the answer that follows these 2 conditions is B.