Answer:
r = 2.5
Step-by-step explanation:
x is directly proportional to y. This can be written as,
x ∝ y
In terms of constant, the proportionality can be written as,
x = ry
Where r is the constant. The table has a set of values for x and y. Let's substitute the values in the first row into the equation with the constant.
10 = r × 4
r =
r = 2.5
Lets check with the second row.
12.5 = r × 5
r =
r = 2.5
Since both sets of values have the same answer for the constant, this means that the third row of values should probably have the same constant.
r = 2.5
Answer:
Step-by-step explanation:
let the price of one shirt be x and one pant be y
Eli--> x+y=600------eq1
Simin-->4x+2y=1500-----eq2
Solve both the equations
multiply eq1 x 4= 4x+4y=2400
now subtract ew2 from 1
you will get y=450 and x=150
so price of one shirt=150 kr
Answer:
$18.12
Step-by-step explanation:
A pound of raisins=$2
A pound of Almonds=$5.06
x= no. Of pounds of raisins
y=no. Of pounds of almonds
If six pounds of a trail mix contains 2 more pounds of raisins than almonds
Then,
x+y=6
x= 4 pounds
y= 2 pounds
Cost of 6 trail mix=4($2)+2($5.06)
=$8+$10.12
=$18.12
The discriminant is the portion of the quadratic formula under the root sign: b²-4ac
A quadratic equation in standard form is ax²+bx+c=0. In your equation:
a=1, b=2, and c=6. Substituting them into the equation:
2²-4(1)(6)
=4-24
=(-20)
When the discriminant is negative there are two, imaginary solutions.
If the discriminant equals a positive, perfect square number (like 4, 9, 16, etc), there will be two, rational roots.
If the discriminant equals a positive, nonperfect square number (like 3, 15, 23, etc), there will be two, irrational roots.
If the discriminant equals 0, there will be one double root
A quadratic equation graphs a parabola. The graph of a quadratic with a positive discriminant will pass through the x-axis twice. If the discriminant is 0, it will touch the x-axis and 'bounce' back the way it came. If the discriminant is negative, it will not touch the x-axis.
Another way to think about this is that $12590 is 80% of the original price. The original was 100%, but this price is 20% off so 100%−20%=80% . The way I like to think is that since I know 12590 is 80%, I can find how much 1% is by dividing 12590 by 80. 12590÷80=157.375.