Answer:
See step-by-step explanation
Step-by-step explanation:
Question 3: (4, -3)
Solving through elimination: Multiply the first equation by -3.
-3x+6y=-30
3x-5y = 27
Add. The x drops out.
y= -3
Substitute -3 in for y.
x-2y=10
x-2(-3)=10
x+6=10
x=4
Question 4: (2,5)
Solve through elimination: Multiply the second equation with 3.
![\frac{3}{2} x+y=8](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20x%2By%3D8)
![\frac{9}{4} x-y=-\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B4%7D%20x-y%3D-%5Cfrac%7B1%7D%7B2%7D)
3/2= 6/4
15/4x=7.5
x=2
3/2 (2) + y = 8
3+ y =8
y=5
Question 5: (6,4)
Use your graph to graph.
![y=-\frac{1}{3} x+6](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7D%20x%2B6)
Slope of -1/3
Y-intercept of 6 (0,6)
X-intercept of 18 (18,0)
![y=\frac{3}{2} x-5](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%20x-5)
Slope of 3/2
Y-intercept of -5 (0,-5)
X-intercept of
(
Question 6: (5, -7)
![Ax+2By=-41](https://tex.z-dn.net/?f=Ax%2B2By%3D-41)
![4Ax-By=88](https://tex.z-dn.net/?f=4Ax-By%3D88)
![3A+2B(4)=-41](https://tex.z-dn.net/?f=3A%2B2B%284%29%3D-41)
![4A(3)-B(4)=88](https://tex.z-dn.net/?f=4A%283%29-B%284%29%3D88)
Solve by substitution:
Words of encouragement:
Good luck!
Answer:
total area = 124 sq. in
Step-by-step explanation:
Area = ( 11 × 10 ) + ( 2 × 7 )
= 110 + 14
= 124 sq. in
Answer: ![\frac{5x^2-16}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%5E2-16%7D%7B2%7D)
Step-by-step explanation:
Given the following expression:
![\frac{10x^2-32}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B10x%5E2-32%7D%7B4%7D)
Find the Greatest Common Factor (GCF) of the numerator. The steps to do this are:
1. You need to descompose into prime factors:
![10x^2=2*5*x^2\\\\32=2*2*2*2*2=2^5](https://tex.z-dn.net/?f=10x%5E2%3D2%2A5%2Ax%5E2%5C%5C%5C%5C32%3D2%2A2%2A2%2A2%2A2%3D2%5E5)
2. Now you must choose the common ones with the lowest exponents and multiply them. In this case the common one is 2 and its lowest exponent is 1, then:
![GCF=2](https://tex.z-dn.net/?f=GCF%3D2)
Knowing this, you can factor out the Greatest Common Factor (GCF) in the numerator:
![=\frac{2(5x^2-16)}{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%285x%5E2-16%29%7D%7B4%7D)
Finally, simplifying, you get:
![=\frac{5x^2-16}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B5x%5E2-16%7D%7B2%7D)
Answer:
-3.5
Step-by-step explanation:
If you use PEMDAS:
-2.25x + 8.75x = 6.5x
Then,
10-20= -10
Add the 2 and:
6.5+ -10= -3.5
Answer:
Step-by-step explanation: