Answer:
f(x) = (x - (-5))^2 + (-18)
Step-by-step explanation:
Given:
f(x) = x^2 + 10x + 7
Rewrite f(x) in vertex form
Solution:
f(x) = ax^2 + bx + c is a quadratic function.
The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.
=> f(x) = x^2 + 10x + 7
= x^2 + 10x + 25 - 18
= (x + 5)^ - 18
= (x - (-5))^2 + (-18)
=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18
Answer:
C. The cabinet
Step-by-step explanation:
The executive branch besides the president also includes the advisors that help the president make decisions.
The House of Representatives and U.S. Senate are part of the Legislative Branch (Law and Order).
The Supreme Court is the only organization that makes up the Judicial Branch.
The answer is D). A perfect square
b2 - 4ac > 0
Roots are real, unequal and rational.
Answer:
The weight of container C is 2.1kg.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the weight of container A.
y is the weight of container B.
z is the weight of container C.
The average weight of 3 containers A,B and C is 3.2kg.
This means that the total weight is 3*3.2 = 9.6kg. So

Container A is twice as heavy as container B.
This means that
.
Containers B is 400 g heavier than container C.
400g is 0.4kg. So
This means that
, or 
Replacing y and z as functions of x in the first equation:




Container C

The weight of container C is 2.1kg.
Answer:
the empty set {∅}
Step-by-step explanation:
{x | x < -3} ∩ {x | x > 5} is giving us
(-∞, -3) intersecting (5, ∞).
Since those two intervals do not intersect the solution is the empty set