Step-by-step explanation:
x=volume of the glass
(1/3)x+63=(5/8)x
63=(5/8)x-(1/3)x
63=(15/24)x-(8/24)x
63=(7/24)x
multiply both sides by 24/7
(24/7)(63)=(24/7)(7/24)x
216=x
216 cm3 is the volume (answer)
1/3 of 216 is 72
72+63=135
135/216=0.625=5/8
Answer:
y
−
7
=
−
6
/11
⋅
(
x
+
7
)
Step-by-step explanation:
Find the point-slope form.
Point-slope formula: y-y₁=m(x-x₁)
Because both answers equal y, we can set them equal to each other. So, -8x=-5x-9. Add five over to get -3x=-9. Divide and x=3. Then plug 3 in to solve for y. -8(3)=24. The ordered pair is (3,24).
Answer:
A quadratic equation can be written as:
a*x^2 + b*x + c = 0.
where a, b and c are real numbers.
The solutions of this equation can be found by the equation:

Where the determinant is D = b^2 - 4*a*c.
Now, if D>0
we have the square root of a positive number, which will be equal to a real number.
√D = R
then the solutions are:

Where each sign of R is a different solution for the equation.
If D< 0, we have the square root of a negative number, then we have a complex component:
√D = i*R

We have two complex solutions.
If D = 0
√0 = 0
then:

We have only one real solution (or two equal solutions, depending on how you see it)