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bezimeni [28]
3 years ago
11

Summarize the rules for multiplying powers with the same base, dividing powers with the same base, and raising a power to a powe

r.
Mathematics
1 answer:
Novay_Z [31]3 years ago
7 0
To multiply two expotential terms with the same base, add their exponents. To raise a power, multiply the exponents. To divide two expotential terms with same base, subtract the exponents.
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All questions to be solved using linear combination.
monitta
1)
I:x-y=-7
II:x+y=7

add both equations together to eliminate y:
x-y+(x+y)=-7+7
2x=0
x=0

insert x=0 into II:
0+y=7
y=7

the solution is (0,7)

2)
I: 3x+y=4
II: 2x+y=5

add I+(-1*II) together to eliminate y:
3x+y+(-2x-y)=4+(-5)
x=-1

insert x=-1 into I:
3*-1+y=4
y=7

the solution is (-1,7)

3)

I: 2e-3f=-9
II: e+3f=18

add both equations together to eliminate f:
2e-3f+(e+3f)=-9+18
3e=9
e=3

insert e=3 into I:
2*3-3f=-9
-3f=-9-6
-3f=-15
3f=15
f=5

the solution is (3,5)

4)
I: 3d-e=7
II: d+e=5

add both equations together to eliminate e:
3d-e+(d+e)=7+5
4d=12
d=3

insert d=3 into II:
3+e=5
e=2

the solution is (3,2)

5)
I: 8x+y=14
II: 3x+y=4

add I+(-1*II) together to eliminate y
8x+y+(-3x-y)=14-4
5x=10
x=2

insert x=2 into II:
3*2+y=4
y=4-6
y=-2

the solution is (2,-2)
8 0
3 years ago
The graphs below have the same shape. what is the equation of the red graph?
Komok [63]

Answer:

b

Step-by-step explanation

4 0
3 years ago
Which ordered pair is a solution to the system of inequalities?
Tatiana [17]
I’m Guessing The Answer Is A. (-2 , -3)
6 0
3 years ago
Please solve this proportion with steps (I'm stuck)<br> (9x+6)/18= (20x+4)/3x
guapka [62]
\frac{9x+6}{18}=\frac{20x+4}{3x}

Cross multiply. Distribute...
3x(9x+6)=18(20x+4)\\27x^2+18x=360x+72\\27x^2-342x-72=0\\3x^2-38x-8=0

OH GOD IT'S A QUADRATIC
<em>(our equation is in ax² + bx + c = 0 form. a=3. b= -38. c= -8.
</em><em>plug these values into the quadratic formula and simplify.)</em>
x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-(-38)\pm\sqrt{(-38)^2-4(3)(-8)}}{2(3)}=\frac{38\pm\sqrt{1444+96}}6\\\\\sqrt{1444+96}=\sqrt{1540}=\sqrt{4\times345}=2\sqrt{345}\\\\\frac{38\pm2\sqrt{345}}6=\boxed{x=\frac{19\pm\sqrt{345}}3}

Approximate values for x: -0.20714 or 12.874

7 0
3 years ago
Read 2 more answers
Please help me thank you
german

Step-by-step explanation:

y = 2x + 3

When x = 2

y = 2.2 + 3

y = 4 + 3

y = 7

When x = 0

y = 2.0 + 3

y = 0 + 3

y = 3

When x = -2

y = 2.(-2) + 3

y = -4 + 3

y = -1

When x = -4

y = 2.(-4) + 3

y = -8 + 3

y = -5

When x = -7

y = 2.(-7) + 3

y = -14 + 3

y = -9

8 0
3 years ago
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