Answer:
3x^2 + 9x + 1
Or
3x ( x + 3 ) + 1
Step-by-step explanation:
(5x - 2 +3x^2 ) + (4x + 3 )
To make this a little bit more easier to read, you can remove the parentheses:
5x - 2 + 3x^2 + 4x + 3
Now, write in a way so that the like terms are next to each other:
3x^2 + 5x + 4x - 2 + 3
Now simplify the 'x' terms to get:
3x^2 + 9x - 2 + 3
Now, simplify the integers (the ones with now variables with them) to get:
3x^2 + 9x + 1
If you want, you can factor out the 3x for two of the terms to get :
3x ( x + 3 ) + 1
Therefore, your simplest form can either be 3x^2 + 9x + 1 OR 3x (x + 3 ) + 1
Answers:
1. The n-intercept is 12. That means after 12 visits the amount of money on the gift car is $0.
2. The A(n)-intercept is 150. Before the visits, the amount of money on the gift car is $150.
Solution:
Amount of money on the gift card after n number of visits: A(n)=$150-$12.50 n
A(n)=150-12.50 n
1. n-intercept
A(n)=0→150-12.50 n =0
Solving for n: Subtracting 150 both sides of the equation:
150-12.50 n-150 = 0-150
-12.50 n = -150
Dividing both sides of the equation by -12.50:
(-12.50 n) / (-12.50) = (-150) / (-12.50)
n=12
The n-intercept is n=12; for n=12→A(12)=0. Point (n, A(n))=(12,0)
2. A(n) intercept
n=0→A(0)=150-12.50 (0)
A(0)=150-0
A(0)=150
The A(n) intercept is 150; for n=0→A(0)=150. Point (n, A(n))=(0,150)
Wouldn’t that just be infinitely?
Solution:
<u>A few tips...</u>
- Tip-1: If "+" and "-" are multiplied, it gives a result of "-".
- Tip-2: If "-" and "-" are multiplied, it gives a result of "+".
- Tip-3: If "+" and "+" are multiplied, it gives a result of "-".
<u>Changing the sign of the given equation.</u>
- 1.25 + (-0.75)
- => 1.25 - 0.75 [Sign changes according to tip-1.]
This could only mean that the arrow would go to <u>1.25 units forward.</u> Then a second arrow will be drawn to go <u>0.75 units back.</u>
The graph that matches with the above info is Option C.
<u>Complete Question</u>
In triangle ABC: AC=10
, AB=5., Angle C = 30 degrees.
In Triangle DEF: ED= 7.5
, DF=15, Angle F =30 degrees
, Angle E = 90 degrees.
Answer:
A, D and E
Step-by-step explanation:
The diagram is drawn and attached below.
- Triangle ABC is similar to Triangle DEF. (Option E)
Writing it backwards:
- Triangle CBA is similar to Triangle FED. (Option A)
Also,
- Triangle BAC is similar to EDF. (Option D).
Therefore, A, D and E are the similarity statements that describe the relationship between the two triangles.
