Answer:
Numbers =(6,-2 )
Step-by step explanation:
Given
the sum of two numbers is four and the sum of their squares minus three times their product is 76,
Let the first term =X
Second term will be=4-x
So
X^2+(4-x)^2-3x(4-x)=76
x^2+16+x^2-8x-12x+3x^2=76
5x^2-20x+16=76
5x^2-20x-60=0
5(x^2-4x-12)=0
So x^2-4x-12=0
x^2-(6-2)x-12=0
x^2-6x+2x-12=0
X(x-6)+2(x-6)=0
(X-6)(X+2)=0
X=6,-2
Let X=6 and -2 then numbers will be 6 and (4-6)=-2
The ball is at a height of 14 feet after 1.17 and 0.64 seconds.
This is an example of a quadratic equation. Write out the equation with 14 in the place of the height. Then, set it equal to zero.
14 = 2 + 29t - 16t^2
0 = -16t^2 + 29t -12
Now, we can use the quadratic equation to solve.
A = -16
B = 29
C = -12
You will get the solutions of 1.17 and 0.64.
Let
x = wristbands
y = headbands
We then have the following inequations:
2x + 3y> = 50 x> = 5 The graph that represents the solution for this system of inequations is shown in the attached image.
The set of solutions is the shaded region.
Since the unit rate is $1.93 per yard, you need to multiply the number of yards by 1.93. So 1.93 x 3 = 5.79. Next, you convert 5% to a decimal, which is 0.05. Now, multiply 5.79 by 0.05, which is about 0.29. Finally, add 0.29 to 5.79, giving you the answer of 6.08. Alice payed $6.08; D.
Answer:
−(2x)/(5)−9
Step-by-step explanation:
Replace the function designators in g−1x
with the actual functions.
(3/5x−9)−1x
Simplify (3/5x−9)−1x
−(2x)/(5)−9
