<u>Answer:</u>
The correct answer option is B. 2 = 3x + 10x^2
<u>Step-by-step explanation:</u>
We are to determine whether which of the given equations in the answer options can be solved using the following expression:
Here, and .
These requirements are fulfilled by the equation 4 which is:
Rearranging it to get:
Substituting these values of in the quadratic formula:
First, set 2x+7 equal to 3x-7 since they are the same angle due to the parallel lines.
2x+7=3x-7
x=14
Then, since 2x+7 and 12y+1 equals 180, put it together to find y:
(2x+7)+(12y+1)=180
(2(14)+7)+(12y+1)=180
12y+1=145
12y=144
y=12
So, x=14 and y=12. Your answer should be C!
First slot, 11 options
2nd is 10 (1 less than 1st slot)
3rd is 9
4th is 8
11*10*9*8=7920 different pizzas (assuming you can't order all 1 topping)
Answer:
<em>Hence the daughter's present age is 15 years</em>
<em>The fathers present age is 35 years</em>
<em></em>
Step-by-step explanation:
Let the present age of daughter be x
Let the present age of father be y
5 years ago;
Daughter's age = x - 5
Fathers age = y - 5
If the present age of father is thrice as old as the age of daughter 5 years ago, then;
y - 5 = 3(x-5)
y - 5 = 3x-15
y = 3x - 10 .... 1
In 5 years time;
Daughters age = x + 5
Fathers age = y + 5
If the age of father will be twice the age of his daughter in 5 years time then;
y+5 = 2(x+5)
y+5 = 2x + 10
y = 2x + 5 .....2
Equate 1 and 2;
3x - 10 = 2x + 5
3x - 2x = 5 + 10
x = 15
Since y = 2x + 5
y = 2(15) + 5
y = 35
<em>Hence the daughter's present age is 15 years</em>
<em>The fathers present age is 35 years</em>
<em></em>
Answer:
B. Slightly more than $5
Step-by-step explanation:
y = 2x + 3
Firstly we check variables to make sure we understand.
y = dollars
x = pounds
On the scale, it says 1.126 lb. Which means 1.126 pounds.
And so, x = 1.126
y = 2x + 3
y = 2(1.126) + 3
y = 2.252 + 3
y = 2.252
The graph for part a and park b. It is underneath. I wrote 1.1, because it is rounded down from 1.126 lb, which is part b. The one with one line and no dots is part a.