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aleksley [76]
3 years ago
9

The quotient rule for exponents states that bm bn=​_______, b≠0 . When dividing exponential expressions with the same nonzero​ b

ase, _______ the exponents.
Mathematics
1 answer:
wariber [46]3 years ago
3 0

Answer:

The quotient rule for exponents states that b^{m}\div b^{n}=b^{m-n}.

When dividing exponential expressions with the same nonzero​ base, <u>subtract</u> the exponents.

Step-by-step explanation:

Some rules to solve exponents are:

  • x^{0}=1
  • (x^{m})^{n}=x^{mn}
  • x^{-n}=\frac{1}{x^{n}}
  • x^{m}\cdot x^{n}=x^{m+n}
  • \frac{x^{m}}{x^{n}}=x^{m-n}

The quotient rule for exponents states that:

b^{m}\div b^{n}=b^{m-n}.

When dividing exponential expressions with the same nonzero​ base, <u>subtract</u> the exponents.

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What point will y+4x=-24 and x=3y-45 intersect
rewona [7]
Solve as simultaneous equations or substitute for the x or y value, and then get the other x or y value by substituting.

Substitution method:

y + 4x = -24
x = 3y - 45

Substitute the x into the first equation.

y + 4 (3y-45) = -24

Simplify and solve for y

y + 12y - 180 = -24
13y = -24 + 180
13y = 156
y = 12

Substitute y into one of the equations to find the x value.

x = 3(12) - 45
x = -9

(-9,12) is where the lines intersect.
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3 years ago
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OleMash [197]

Answer:

is that a cat

Step-by-step explanation:

6 0
3 years ago
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How would I solve this
Vlad [161]

Answer:

Step-by-step explanation:

-10x+18=10x+4

20x=14

x=14/20=7/10=0.7

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3 years ago
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What is the answer to this problem? Ignore the work. What is the correct answer?
yan [13]

Answer:

c = 42.5

Step-by-step explanation:

The legs of the triangle are a and b and the hypotenuse is c

Let a be the shorter leg

The hypotenuse is 5 more than the longest leg

c = b+5

The shortest leg is 20

a = 20

We can use the Pythagorean theorem

a^2 +b^2 = c^2

Substituting in what we know from above

20 ^2 + b^2 = (b+5)^2

FOIL  (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25

400 + b^2 = b^2+10b+25

Subtract b^2 from both sides

400+b&2-b^2 = b^2 -b^2 +10b+25

400 = 10b+25

Subtract 25 from both sides

400-25 = 10b+25-25

375 = 10b

Divide by 10

375/10 = 10b/10

37.5 = b

But we want to find c

c=b+5

c = 37.5+5

c = 42.5

6 0
3 years ago
Problem1 The behavior of a physical system can be described by the following first order differential equation: dy/dt=2y +t^2
daser333 [38]

Answer:

y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}.

Step-by-step explanation:

Using first order linear differential equation:

\dfrac{\mathrm{d} y}{\mathrm{d} t} = 2y + t^2

\frac{\mathrm{d} y}{\mathrm{d} t} - 2y =t^2

finding integrating factor:

I.F = e^{\int -2dt}

I.F =e^{-2t}

now,

y = \dfrac{1}{IF}(\int t^2dt+ c )

y = \dfrac{1}{e^{-2t}}(\int t^2dt+ c )

y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}

hence the solution is

y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}

8 0
4 years ago
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