Answer:
x1=4
x2=8
Step-by-step explanation:
1- Factor the equation.
2- solve a Single Variable Equation
3- Parabola, Finding the Vertex
It is a quadratic
where x-8 is the squared term
do
x-8=u
u^2-13u+30=0
solve
u=

u=

u=

u=

u=

u=

or u=

u=10 or 3
10=x-8 or 3=x-8
18=x or 11=x
x=11 and/or 18
Answer: In 7 years, Ms Acosta will earn $37,734.7
Step-by-step explanation:
From the information given, we find the increase using exponential growth formula
A= P(1+r)^t
Where p= the starting amount on the contract, given as $34000
r = rate, given at 1.5% = 1.5/100 = 0.015
t = time, given as 7years
Plug the values into the formula:
A = 34000(1 + 0.015) ^7
= 34000 (1.015)^7
34000 x 1.1098
A= $37,734.7
In 7 years, Ms Acosta will earn $37,734.7.
Answer:
m∠A = 20°
Step-by-step explanation:
Triangle ABC has the following angle measures:
We know that the addition of the angles of a triangle makes 180°, therefore:
m∠A + m∠B + m∠C = 180°
Replacing with data and solving for x:
2x + 5x + 11x = 180
18x = 180
x = 180/18
x = 10°
Which makes the angles:
m∠A = 2*10 = 20°
m∠B = 5*10 = 50°
m∠C = 11*10 = 110°
Your answer would be (4, 16) :)