The choices b and c are equivalent to 
.
Step-by-step explanation:
Step 1:
First, we need to bring the fraction to its simplest form. To do so, we divide the numerator and the denominator by the greatest factor.
The greatest factor for 4 and 6 is 2. So we divide it by 2.
So 
.
Step 2:
Similarly, we need to do the same for all the given four options.
a. 
, the greatest factor for 2 and 4 is 2. So we divide the fraction by 2.
So 
.
b. 
, the greatest common factor for 8 and 12 is 4. So we divide the fraction by 4.
So 
.
For options c and d, 1 is the greatest factor so they cannot be simplified. They remain as they are.
Step 3:
So options b and c are equal to the simplification of i.e. 
.
Answer:
15
Step-by-step explanation:
(x+3)(x+5)=0
x^2+8x+15=0
Answer:
1) -184
2) 13
-3(
)+4
Step-by-step explanation:
For problem number 1, Let's start by substituting all the x's for -3
So the equation will look like
p(-3)=
-
+7(-3)-10
Now, lets simplify by solving the exponents
First we'll do 
which equals -27
Now we'll do 
which equals 9
So now our equation looks like
p(-3)=4(-27)-5(9)+7(-3)-10
Now, we are going to multiply all these numbers
First 4(-27) which equals -108
Now -5(9) which equals -45
And finally 7(-3) which equals -21
Now our equation looks like
p(-3)= -108-45-21-10
Now we can solve
-108-45-21-10=-184
Answer:
14.5 ft
Step-by-step explanation:
We are told that the model car is built to a scale of 1 in. : 2.5 ft.
That means 1 inches represents 2.5 ft in actual measurement.
Thus, for a 5.8 inch long model, the real life measurement is;
(5.8 inch × 2.5 ft)/1 inch = 14.5 ft
X-intercept is 8
Y-intercept is 3
