Answer:
2 cats were cared for
Step-by-step explanation:
c= cats
d=dogs
c+d =7
1.5c+3.5d=20.50
c+d =7
solve for d
d = 7-c
substitute into 1.5c+3.5d=20.50
1.5 c + 3.5 (7-c) = 20.50
distribute
1.5c +24.5 -3.5 c = 20.5
combine like terms
24.5 -2c =20.5
subtract 24.5 from each side
-2c = -4
divide by -2
c =2
Answer:
x = -3, 
Step-by-step explanation:
The given quadratic equation is: 
This can be written as: 
To solve a quadratic equation of the form
we use the formula:

Here, a = 2; b = 3; c = - 9
Therefore, the roots of the equation are:



We get two values of 'x', viz.,
x =
and 

⇒ x = -3, 3/2
Since the factors of the quadratic equation is asked, we write it as:
(x + 3)(x -
) = 0
because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.
Multiply (x + 3) and (x -
to see that this indeed is the given quadratic equation.
Answer:
35
Step-by-step explanation:
Step-by-step explanation:
the slope of a line is the ratio y/x.
that means when going from one point to the other, how many units is y changing, when x changes a certain number of units.
so, going from one point to the other here, x changes by 30 units (from -12 to +18). and y changes 15 units (from -9 to 6).
therefore, the slope is
15/30 = 1/2
Answer:
3/5
Step-by-step explanation:
sin is opposite divided by the hypotenuse ( longest side)
18 is the opposite of angle x and the hypotenuse is 30
18/30 = 3/5